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1

Caminada, Martin, and Claudia Schulz. "On the Equivalence between Assumption-Based Argumentation and Logic Programming." Journal of Artificial Intelligence Research 60 (December 14, 2017): 779–825. http://dx.doi.org/10.1613/jair.5581.

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Assumption-Based Argumentation (ABA) has been shown to subsume various other non-monotonic reasoning formalisms, among them normal logic programming (LP). We re-examine the relationship between ABA and LP and show that normal LP also subsumes (flat) ABA. More precisely, we specify a procedure that given a (flat) ABA framework yields an associated logic program with almost the same syntax whose semantics coincide with those of the ABA framework. That is, the 3-valued stable (respectively well-founded, regular, 2-valued stable, and ideal) models of the associated logic program coincide with the complete (respectively grounded, preferred, stable, and ideal) assumption labellings and extensions of the ABA framework. Moreover, we show how our results on the translation from ABA to LP can be reapplied for a reverse translation from LP to ABA, and observe that some of the existing results in the literature are in fact special cases of our work. Overall, we show that (flat) ABA frameworks can be seen as normal logic programs with a slightly different syntax. This implies that methods developed for one of these formalisms can be equivalently applied to the other by simply modifying the syntax.
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Nascimento, Daniel Luiz de Mattos, Osvaldo Luiz Goncalvez Quelhas, Rodrigo Goyannes Gusmão Caiado, Guilherme Luz Tortorella, Jose Arturo Garza-Reyes, and Luis Rocha-Lona. "A lean six sigma framework for continuous and incremental improvement in the oil and gas sector." International Journal of Lean Six Sigma 11, no. 3 (September 16, 2019): 577–95. http://dx.doi.org/10.1108/ijlss-02-2019-0011.

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Purpose This paper aims to explore synergies between lean production (LP) and six sigma principles to propose a lean six sigma (LSS) framework for continuous and incremental improvement in the oil and gas sector. The Three-dimensional LSS framework seeks to provide various combinations about the integration between LP principles, DMAIC (define–measure–analyse–improve–control) cycle and plan-do-check-act (PDCA) cycle to support operations management needs. Design/methodology/approach The research method is composed of two main steps: diagnosis of current problems and proposition of a conceptual framework that qualitatively integrates synergistic aspects of LP and six sigma and analysis of the application of the construct through semi-structured interviews with leaders from oil and gas companies to assess and validate the proposed framework. Findings As a result, a conceptual framework of LSS is developed contemplating the integration of LP and six sigma and providing a systemic and holistic approach to problem-solving through continuous and incremental improvement in the oil and gas sector. Originality/value This research is different from previous studies because it integrates LP principles, DMAIC and PDCA cycles into a unique framework that fulfils a specific need of oil and gas sector. It presents a customized LSS framework that guides wastes and cost reduction while enhancing quality and reducing process variability to elevate efficiency in operations management of this sector. This is an original research that presents new and original scientific findings.
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Pommerening, Florian, Gabriele Röger, Malte Helmert, and Blai Bonet. "LP-Based Heuristics for Cost-Optimal Planning." Proceedings of the International Conference on Automated Planning and Scheduling 24 (May 11, 2014): 226–34. http://dx.doi.org/10.1609/icaps.v24i1.13621.

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Many heuristics for cost-optimal planning are based on linear programming. We cover several interesting heuristics of this type by a common framework that fixes the objective function of the linear program. Within the framework, constraints from different heuristics can be combined in one heuristic estimate which dominates the maximum of the component heuristics. Different heuristics of the framework can be compared on the basis of their constraints. With this new method of analysis, we show dominance of the recent LP-based state-equation heuristic over optimal cost partitioning on single-variable abstractions. We also show that the previously suggested extension of the state-equation heuristic to exploit safe variables cannot lead to an improved heuristic estimate. We experimentally evaluate the potential of the proposed framework on an extensive suite of benchmark tasks.
4

Zhou, Yi. "An Lp theorem for compensated compactness." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 122, no. 1-2 (1992): 177–89. http://dx.doi.org/10.1017/s030821050002103x.

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TRIBOULEY, K., and G. VIENNET. "Lp adaptive density estimation in a β mixing framework." Annales de l'Institut Henri Poincare (B) Probability and Statistics 34, no. 2 (1998): 179–208. http://dx.doi.org/10.1016/s0246-0203(98)80029-0.

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Yahya-Zadeh, Massood. "A Linear Programming Framework for Flexible Budgeting and Its Application to Classroom Teaching." Issues in Accounting Education 17, no. 1 (February 1, 2002): 69–93. http://dx.doi.org/10.2308/iace.2002.17.1.69.

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Accounting educators and practitioners are well aware of the importance of increased competencies in analytical areas. In response to this need, authors of management accounting textbooks typically offer brief introductions to linear programming (LP), regression analysis, and decision theory. Most textbooks introduce LP in the context of optimal product-mix decisions. However, it is possible to incorporate LP into the discussion of other accounting topics, such as product costing and pricing, and financial and operational budgeting. (For a pioneering article on the subject of integrating activity-based costing and the theory of constraints, see Kee [1995], who applies integer programming to a numerical example in a fashion similar to what is done in this article.) The paper demonstrates a method of incorporating LP into flexible budgeting and variance analysis. By incorporating production and market constraints into budgeting and variance analysis, the proposed method resolves some of the weaknesses of traditional flexible budgeting and offers a framework for integration of marketing and operations factors into accounting procedures. More specifically, the paper offers a revised definition of the flexible budget and a new procedure for determining flexible budget direct cost variances, overhead cost variances, and revenue variances. Further, this paper introduces a method of incorporating variance analysis into the theory of constraints and offers alternative measures of controlling throughput and operating expenses to companies implementing it.
7

Kempe, David. "An Analysis Framework for Metric Voting based on LP Duality." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 02 (April 3, 2020): 2079–86. http://dx.doi.org/10.1609/aaai.v34i02.5581.

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Distortion-based analysis has established itself as a fruitful framework for comparing voting mechanisms. m voters and n candidates are jointly embedded in an (unknown) metric space, and the voters submit rankings of candidates by non-decreasing distance from themselves. Based on the submitted rankings, the social choice rule chooses a winning candidate; the quality of the winner is the sum of the (unknown) distances to the voters. The rule's choice will in general be suboptimal, and the worst-case ratio between the cost of its chosen candidate and the optimal candidate is called the rule's distortion. It was shown in prior work that every deterministic rule has distortion at least 3, while the Copeland rule and related rules guarantee distortion at most 5; a very recent result gave a rule with distortion 2 + √5 ≈ 4.236.We provide a framework based on LP-duality and flow interpretations of the dual which provides a simpler and more unified way for proving upper bounds on the distortion of social choice rules. We illustrate the utility of this approach with three examples. First, we show that the Ranked Pairs and Schulze rules have distortion Θ(√n). Second, we give a fairly simple proof of a strong generalization of the upper bound of 5 on the distortion of Copeland, to social choice rules with short paths from the winning candidate to the optimal candidate in generalized weak preference graphs. A special case of this result recovers the recent 2 + √5 guarantee. Finally, our framework naturally suggests a combinatorial rule that is a strong candidate for achieving distortion 3, which had also been proposed in recent work. We prove that the distortion bound of 3 would follow from any of three combinatorial conjectures we formulate.
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Clemens, Matthew. "Ordered pair semantics and negation in LP." Australasian Journal of Logic 17, no. 5 (September 28, 2020): 201. http://dx.doi.org/10.26686/ajl.v17i5.4080.

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In this note, I present a modified semantic framework for the multi-valued paraconsistent logic LP, which allows for a straightforward preservation of a significant classical intuition about negation, namely that the negation operator reverses truth-value.
9

Kwiatek, Piotr, Zoe Morgan, and Marsela Thanasi-Boçe. "The role of relationship quality and loyalty programs in building customer loyalty." Journal of Business & Industrial Marketing 35, no. 11 (March 23, 2020): 1645–57. http://dx.doi.org/10.1108/jbim-02-2019-0093.

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Purpose Despite the abundance of B2B loyalty programs (LPs), the research on their interplay with relationship marketing is scarce. The purpose of this paper is to investigate a LP (a relational practice) on a transactional business market to test if and how a B2B LP affects relationship outcomes. Design/methodology/approach The study is based on dyadic research in a multi-theory framework. Data were collected from 200 small and medium enterprises that purchase office supplies from a company and merged with the company’s internal records.The formative-reflective measurement model is estimated using structural equation modeling – partial least squares (SEM-PLS). Findings Relationship quality (RQ) directly affects sales and customer share of wallet. The effect is strengthened by customer activity in a LP. RQ results directly in a longer tenure and willingness to recommend only for members of a LP. Research limitations/implications RQ is driven mainly by customer’s evaluation of prior experience with a supplier, while a LP is based on a forward-looking promise of a reward. The results of the study point to the level of customers’ activity in a LP as a boundary condition of the program’s efficacy. Practical implications RQ affects both attitudinal and behavioral outcomes but through distinct mechanisms. Once a supplier is a preferred one, LP membership strengthens the attitudinal outcome of a relationship. The effect of RQ on company performance is magnified by the level of customer activity in a LP but not by the membership status. Originality/value The theoretical framework integrates transaction costs, relational contract and relational exchange theories to investigate a LP on a transactional market. The study adds to the scant literature on LPs in business-to-business and provides evidence for similarities and differences in comparison to consumer research.
10

Barham, Reham Shawqi, Ahmad Sharieh, and Azzam Sleit. "A meta-heuristic framework based on clustering and preprocessed datasets for solving the link prediction problem." Journal of Information Science 45, no. 6 (December 17, 2018): 794–817. http://dx.doi.org/10.1177/0165551518816296.

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This study presents a solution to a problem commonly known as link prediction problem. Link prediction problem interests in predicting the possibility of appearing a connection between two nodes of a network, while there is no connection between these nodes in the present state of the network. Finding a solution to link prediction problem attracts variety of computer science fields such as data mining and machine learning. This attraction is due to its importance for many applications such as social networks, bioinformatics and co-authorship networks. Towards solving this problem, Evolutionary Link Prediction (EVO-LP) framework is proposed, presented, analysed and tested. EVO-LP is a framework that includes dataset preprocessing approach and a meta-heuristic algorithm based on clustering for prediction. EVO-LP is divided into preprocessing stage and link prediction stage. Feature extraction, data under-sampling and feature selection are utilised in the preprocessing stage, while in the prediction stage, a meta-heuristic algorithm based on clustering is used as an optimiser. Experimental results on a number of real networks show that EVO-LP improves the prediction quality with low time complexity.
11

Censor, Nitzan, and Dov Sagi. "Explaining training induced performance increments and decrements within a unified framework of perceptual learning." Learning & Perception 1, no. 1 (June 2009): 3–17. http://dx.doi.org/10.1556/lp.1.2009.1.2.

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Fu, Bojie, Xutong Wu, Zhuangzhuang Wang, Xilin Wu, and Shuai Wang. "Coupling human and natural systems for sustainability: experience from China's Loess Plateau." Earth System Dynamics 13, no. 2 (April 13, 2022): 795–808. http://dx.doi.org/10.5194/esd-13-795-2022.

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Abstract. Addressing the sustainability challenges that humanity is facing in the Anthropocene requires the coupling of human and natural systems, rather than their separate treatment. To help understand the dynamics of a coupled human and natural system (CHANS) and support the design of policies and measures that promote sustainability, we propose a conceptual cascade framework of “pattern–process–service–sustainability”, which is characterized by coupling landscape patterns and ecological processes, linking ecological processes to ecosystem services, and promoting social–ecological sustainability. The use of this framework is illustrated by a review of CHANS research experience in China's Loess Plateau (LP), a well-known region for its historically severe soil erosion and successful ecological restoration achieved in recent decades. Ecological restoration in the LP has greatly increased its vegetation coverage and controlled its soil erosion. However, some accompanied issues, like soil drying in some areas due to the introduction of exotic plant species and the mismanagement of planted vegetation and water use conflicts between vegetation and humans caused by the trade-off between carbon sequestration and water supply, have started to threaten the long-term sustainability of the LP. Based on a comprehensive understanding of CHANS dynamics, the social–ecological sustainability of the LP can be improved through enhancing water and food security, implementing basin-wide governance, maintaining ecological restoration achievements, and promoting rural livelihood transition. The research experience accumulated on the LP offers examples of the application of the pattern–process–service–sustainability framework. Future research using this framework should especially focus on the integrated research of multiple processes; the cascades of ecosystem structure, function, services, and human well-being; the feedback mechanisms of human and natural systems; and the data and models for sustainability.
13

Cai, Qian, Weiqiang Gong, Yue Deng, and Haixian Wang. "Single-Trial EEG Classification via Common Spatial Patterns with Mixed Lp- and Lq-Norms." Mathematical Problems in Engineering 2021 (June 3, 2021): 1–13. http://dx.doi.org/10.1155/2021/6645322.

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As a multichannel spatial filtering technique, common spatial patterns (CSP) have been successfully applied in brain-computer interfaces (BCI) community based on electroencephalogram (EEG). However, it is sensitive to outliers because of the employment of the L2-norm in its formulation. It is beneficial to perform robust modelling for CSP. In this paper, we propose a robust framework, called CSP-Lp/q, by formulating the variances of two EEG classes with Lp- and Lq-norms ( 0 < p and q < 2 ) separately. The method CSP-Lp/q with mixed Lp- and Lq-norms takes the class-wise difference into account in formulating the sample dispersion. We develop an iterative algorithm to optimize the objective function of CSP-Lp/q and show its monotonity theoretically. The superiority of the proposed CSP-Lp/q technique is experimentally demonstrated on three real EEG datasets of BCI competitions.
14

Walkowiak, Justyna. "Minority language policy regarding personal names – an overview." Eesti ja soome-ugri keeleteaduse ajakiri. Journal of Estonian and Finno-Ugric Linguistics 2, no. 1 (June 17, 2011): 367–82. http://dx.doi.org/10.12697/jeful.2011.2.1.24.

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Language Policy (LP) with language planning as its implementation is now a well-established field; yet, as evidenced by the scarcity of scholarly literature, seldom concerned with personal names. The paper looks at personal names (given names and surnames) and discusses the ways in which they can be perceived as objects of minority LP. Policies regarding personal names are analysed within the framework of the traditional division of language planning into status, corpus and acquisition planning. These policies are then further examined according to other dimensions: what the object of a LP is, who its agent is, what motivates a LP, what effects it exerts, and how a LP is carried out. Finally, the paper looks at EU minority legislation with reference to personal names, especially at the country-specific opinions which reflect the FCNM monitoring process, highlighting areas of controversy. In conclusion, it is shown how vital personal names are to personal and group identity and, consequently, how control over them helps the nation-state control a minority, although – it is argued – not every regulation constitutes a minority LP
15

Pasias, Vasilios, Dimitrios A. Karras, and Rallis C. Papademetriou. "Advances in Survivability-supported Framework for Traffic Engineering in Multi-service Backbone Networks." WSEAS TRANSACTIONS ON SYSTEMS 21 (December 31, 2022): 294–303. http://dx.doi.org/10.37394/23202.2022.21.32.

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In this paper, optimisation models and heuristic algorithms that address the off-line survivability-supported Traffic Engineering (TE) problem in multi-service backbone networks are presented. In such networks traffic demands with different Quality of Service (QoS) and survivability requirements (e.g. existence of a node disjoint backup path for each primary path) inhere. The optimisation models for engineering the QoS traffic with different survivability prerequisites and the Best-Effort (BE) traffic are based on novel admission control/routing Integer Linear Programming (ILP) and Linear Programming (LP) optimisation sub-problems, which are solved sequentially. LP relaxations of the ILP sub-problems are also provided. The optimisation models and heuristic algorithms are tested on two different networks and their performance is compared.
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Rossi, Andrea, Donatella Firmani, Paolo Merialdo, and Tommaso Teofili. "Kelpie." Proceedings of the VLDB Endowment 15, no. 12 (August 2022): 3566–69. http://dx.doi.org/10.14778/3554821.3554845.

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The latest generations of Link Prediction (LP) models rely on embeddings to tackle incompleteness in Knowledge Graphs, achieving great performance at the cost of interpretability. Their opaqueness limits the trust that users can place in them, hindering their adoption in real-world applications. We have recently introduced Kelpie, an explainability framework tailored specifically for embedding-based LP models. Kelpie can be applied to any embedding-based LP model, and supports two explanation scenarios that we have called necessary and sufficient. In this demonstration we showcase Kelpie's capability to explain the predictions of models based on vastly different architectures on the 5 major datasets in literature.
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Aramaki, Junichi. "An Extension of a Variational Inequality in the Simader Theorem to a Variable Exponent Sobolev Space and Applications: The Dirichlet Case." International Journal of Analysis and Applications 20 (February 16, 2022): 13. http://dx.doi.org/10.28924/2291-8639-20-2022-13.

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In this paper, we shall extend a fundamental variational inequality which is developed by Simader in W1,p to a variable exponent Sobolev space W1,p(·). The inequality is very useful for the existence theory to the Poisson equation with the Dirichlet boundary conditions in Lp(·)-framework, where Lp(·) denotes a variable exponent Lebesgue space. Furthermore, we can also derive the existence of weak solutions to the Stokes problem in a variable exponent Lebesgue space.
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Gu, Qi, Wenqian Wang, Hao Lu, Xi Chen, Shuaihua Wang, and Shaofan Wu. "Isotypic lanthanide–organic frameworks and scintillating films with colour-tunable X-ray radioluminescence for imaging applications." Dalton Transactions 51, no. 1 (2022): 257–63. http://dx.doi.org/10.1039/d1dt03059k.

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Ghobadi, S., G. R. Jahanshahloo, F. Hosseinzadeh Lotfi, and M. Rostamy-Malkhalifeh. "Efficiency Measure Under Inter-Temporal Dependence." International Journal of Information Technology & Decision Making 17, no. 02 (March 2018): 657–75. http://dx.doi.org/10.1142/s0219622018500050.

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In this paper, a linear programming (LP) model is proposed to estimate the efficiency of a decision-making unit (DMU) in the framework of dynamic Data Envelopment Analysis (DEA). Necessary and sufficient conditions required for characterizing dynamically efficient paths are established. An LP model is proposed to estimate the dynamic cost efficiency (DCE) measure. It is proved that the aggregate CE in an assessment window is a convex combination of CEs of available periods in the assessment window. In addition, it is shown that a DMU in an assessment window is dynamically efficient when the DMU is dynamically cost/revenue efficient. Mathematical relationships between relative, cost, revenue, and profit efficiencies are studied in the framework of dynamic DEA.
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Walker, Romy, Khalid Mahmood, Julia Como, Mark Clendenning, Jihoon E. Joo, Peter Georgeson, Sharelle Joseland, et al. "DNA Mismatch Repair Gene Variant Classification: Evaluating the Utility of Somatic Mutations and Mismatch Repair Deficient Colonic Crypts and Endometrial Glands." Cancers 15, no. 20 (October 10, 2023): 4925. http://dx.doi.org/10.3390/cancers15204925.

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Germline pathogenic variants in the DNA mismatch repair (MMR) genes (Lynch syndrome) predispose to colorectal (CRC) and endometrial (EC) cancer. Lynch syndrome specific tumor features were evaluated for their ability to support the ACMG/InSiGHT framework in classifying variants of uncertain clinical significance (VUS) in the MMR genes. Twenty-eight CRC or EC tumors from 25 VUS carriers (6xMLH1, 9xMSH2, 6xMSH6, 4xPMS2), underwent targeted tumor sequencing for the presence of microsatellite instability/MMR-deficiency (MSI-H/dMMR) status and identification of a somatic MMR mutation (second hit). Immunohistochemical testing for the presence of dMMR crypts/glands in normal tissue was also performed. The ACMG/InSiGHT framework reclassified 7/25 (28%) VUS to likely pathogenic (LP), three (12%) to benign/likely benign, and 15 (60%) VUS remained unchanged. For the seven re-classified LP variants comprising nine tumors, tumor sequencing confirmed MSI-H/dMMR (8/9, 88.9%) and a second hit (7/9, 77.8%). Of these LP reclassified variants where normal tissue was available, the presence of a dMMR crypt/gland was found in 2/4 (50%). Furthermore, a dMMR endometrial gland in a carrier of an MSH2 exon 1-6 duplication provides further support for an upgrade of this VUS to LP. Our study confirmed that identifying these Lynch syndrome features can improve MMR variant classification, enabling optimal clinical care.
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Shohamy, Elana. "LL research as expanding language and language policy." Linguistic Landscape. An international journal 1, no. 1-2 (June 19, 2015): 152–71. http://dx.doi.org/10.1075/ll.1.1-2.09sho.

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The paper theorizes languages in public spaces in a broad framework consisting of multiple components beyond written texts in public spaces. These include among others, visuals, sounds, movements, gestures, history, politics, location, people, bodies, all embedded in the dimensions offered by Lefebvre (1991) of spaces as practiced, conceived and lived. Relating to Linguistic Landscape (LL) as a mechanism of Language Policy (LP), the paper frames LL within current theories of LP which focus on ‘engaged language policy’ (Davis, 2014) reflecting and cultivating language practice as used by communities. The paper shows how LL is instrumental in contributing to the broadening of the theory and practice of LP, a discipline that has been mostly overlooked by LP. The studies show how language in public space was used for the revival of Hebrew in Palestine, for documentation of multilingualism in specific areas where different groups reside, for realizing that LP in public spaces is broader than written language showing how multimodalities are essential for making meaning of spaces, for discovering the wealth of LL devices used for contestations in the city, and for examining local policies in neighborhoods. Finally, the engagement of high school students with documentation of LL in their neigborhoods was found to have a real impact on LP awareness and activism.
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Trigwell, Peter, and James Kustow. "A multidimensional Framework for Routine Outcome Measurement in Liaison Psychiatry (FROM-LP)." BJPsych Bulletin 40, no. 4 (August 2016): 192–94. http://dx.doi.org/10.1192/pb.bp.115.051458.

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SummaryIn the field of liaison psychiatry, as in all areas of healthcare, there is an essential need for well-organised and consistent collection of information on outcomes, from a range of perspectives. This special article introduces, and describes the development of, the multidimensional Framework for Routine Outcome Measurement in Liaison Psychiatry (FROM-LP). This was challenging owing to the variety of service settings and types of intervention which characterise liaison psychiatry. Similar challenges may be faced by other specialties and this, along with the direct relevance of much of the eventual content of the framework, will broaden the interest of this article.
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Gao, Zhensheng, Yan Liang, and Zhong Tan. "A Global Existence Result for Korteweg System in the Critical LP Framework." Acta Mathematica Scientia 39, no. 6 (September 27, 2019): 1639–60. http://dx.doi.org/10.1007/s10473-019-0614-7.

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Auyeung, Ariana, and Lisa Patel. "QIP: Liaison Psychiatry Outcome Measures at University College Hospital in London." BJPsych Open 8, S1 (June 2022): S84—S85. http://dx.doi.org/10.1192/bjo.2022.273.

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AimsThe purpose of this quality improvement project was to improve the collection of outcomes in the Liaison Psychiatry (LP) department at the University College Hospital in London (UCLH). To achieve this, the Framework for Routine Outcome Measurement in Liaison Psychiatry (FROM-LP) was used to gather data and evidence on clinical and other patient-related outcomes provided by the department. The FROM-LP was created to provide a consistent way to compare the quality and performance of Liaison Psychiatry services across the NHS. It was developed in 2015 and is based on the most widely used measurement frameworks for assessing quality and performance of services.MethodsThis project implemented the FROM-LP, using the Identify and Rate the Aim of the Contact (IRAC) tool and the Clinical Global Impression – Improvement scale (CGI-I) from September to November 2021 in the UCLH Liaison Psychiatry department. The PDSA (plan, do, study, and act) cycle was used to carry out this quality improvement project and the data were collected by two foundation year doctors.The IRAC scale identified ten categories for the aim of contact by LP and a rating on whether the aim was fully achieved, partially achieved, or not achieved after patient contact. The CGI-I scale was used to rate whether a patient had improved upon discharge by LP. Data were also collected on the demographics of patients, the specialty teams that referred to LP, whether legal frameworks were used, and where patients were discharged to.ResultsThis project improved the collection of outcome data in the department from 0% to 98.16%, indicating an improvement of outcomes measurement by >98%. Other outcomes collected showed that patients were predominantly 21–30 years of age and referred to community mental health teams when discharged. The IRAC tool showed most patients were referred for assessment and diagnosis, with the majority of these aims marked as ‘fully achieved’. The CGI-I tool showed most patients were ‘much improved’ upon discharge.ConclusionThe collection of these outcomes led to the creation of an outcomes measure form on the primary electronic software system (Carenotes) utilized by the department and local trust. This electronic form is now currently being used by the Liaison Psychiatry department at UCLH for their patients and makes this improvement sustainable while providing an easier means to continue collecting data. Ultimately, the collection of these outcomes will guide future changes and improvements for both the liaison psychiatry department and its patients.
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Wang, Hanxiang, Yanfen Li, L. Minh Dang, and Hyeonjoon Moon. "Robust Korean License Plate Recognition Based on Deep Neural Networks." Sensors 21, no. 12 (June 16, 2021): 4140. http://dx.doi.org/10.3390/s21124140.

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With the rapid rise of private vehicles around the world, License Plate Recognition (LPR) plays a vital role in supporting the government to manage vehicles effectively. However, an introduction of new types of license plate (LP) or slight changes in the LP format can break previous LPR systems, as they fail to recognize the LP. Moreover, the LPR system is extremely sensitive to the conditions of the surrounding environment. Thus, this paper introduces a novel deep learning-based Korean LPR system that can effectively deal with existing challenges. The main contributions of this study include (1) a robust LPR system with the integration of three pre-processing techniques (defogging, low-light enhancement, and super-resolution) that can effectively recognize the LP under various conditions, (2) the establishment of two original Korean LPR approaches for different scenarios, including whole license plate recognition (W-LPR) and single-character license plate recognition (SC-LPR), and (3) the introduction of two Korean LPR datasets (synthetic data and real data) involving a new type of LP introduced by the Korean government. Through several experiments, the proposed LPR framework achieved the highest recognition accuracy of 98.94%.
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Torrisi, Mariano, and Rita Traciná. "Lie Symmetries and Solutions of Reaction Diffusion Systems Arising in Biomathematics." Symmetry 13, no. 8 (August 20, 2021): 1530. http://dx.doi.org/10.3390/sym13081530.

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In this paper, a special subclass of reaction diffusion systems with two arbitrary constitutive functions Γ(v) and H(u,v) is considered in the framework of transformation groups. These systems arise, quite often, as mathematical models, in several biological problems and in population dynamics. By using weak equivalence transformation the principal Lie algebra, LP, is written and the classifying equations obtained. Then the extensions of LP are derived and classified with respect to Γ(v) and H(u,v). Some wide special classes of special solutions are carried out.
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Shengchang, Li, Guo Ziyu, and Cheng Huize. "A Comprehensive Approach based on GIS-LP model on Light Pollution." Highlights in Science, Engineering and Technology 67 (September 21, 2023): 307–16. http://dx.doi.org/10.54097/hset.v67i.11923.

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The escalating global concern over light pollution necessitates a comprehensive framework for effective control measures. This paper proposes a novel approach by establishing an evaluation index model. Direct impact factors are graded through GIS analysis, while LP-AHP and LP-IEW models determine the weight of indirect factors. A comprehensive risk index is derived by combining these approaches using Euclidean distance. The evaluation index model is applied to analyze protected land, rural, suburban, and urban areas, resulting in the creation of a light pollution risk level distribution map.
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Kevrekidou, Alkistis, Andreana N. Assimopoulou, Varvara Trachana, Dimitrios Stagos, and Paraskevi Malea. "Antioxidant Activity, Inhibition of Intestinal Cancer Cell Growth and Polyphenolic Compounds of the Seagrass Posidonia oceanica’s Extracts from Living Plants and Beach Casts." Marine Drugs 22, no. 3 (March 11, 2024): 130. http://dx.doi.org/10.3390/md22030130.

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The aim of the present study was to investigate the use of Posidonia oceanica for making products beneficial for human health. Firstly, we demonstrated that the antioxidant defense (i.e., SOD and APX activity) of P. oceanica’s living leaves (LP) has low efficacy, as they partly neutralize the produced H2O2. However, high H2O2 levels led LP to produce, as a response to oxidative stress, high phenolic content, including chicoric acid, p-coumaric acid, caftaric acid, trans-cinnamic and rutin hydrate, as shown by UHPLC-DAD analysis. In addition, LP extracts inhibited intestinal cancer cell proliferation. Moreover, P. oceanica’s beach casts consisting of either Wet ‘Necromass’ (WNP) or Dry ‘Necromass’ (DNP) were used for preparing extracts. Both DNP and WNP exhibited antioxidant and antiproliferative activities, although lower as compared to those of LP extracts. Although both P. oceanica’s meadows and beach casts are considered priority habitats in the Mediterranean Sea due to their high ecological value, legislation framework for beach casts forbidding their removal is still missing. Our results suggested that both LP and DNP could be utilized for the production of high-added value products promoting human health, provided that a sustainability management strategy would be applied for P. oceanica’s meadows and beach casts.
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Roy, Indradyumna, Abir De, and Soumen Chakrabarti. "Adversarial Permutation Guided Node Representations for Link Prediction." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 11 (May 18, 2021): 9445–53. http://dx.doi.org/10.1609/aaai.v35i11.17138.

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After observing a snapshot of a social network, a link prediction (LP) algorithm identifies node pairs between which new edges will likely materialize in future. Most LP algorithms estimate a score for currently non-neighboring node pairs, and rank them by this score. Recent LP systems compute this score by comparing dense, low dimensional vector representations of nodes. Graph neural networks (GNNs), in particular graph convolutional networks (GCNs), are popular examples. For two nodes to be meaningfully compared, their embeddings should be indifferent to reordering of their neighbors. GNNs typically use simple, symmetric set aggregators to ensure this property, but this design decision has been shown to produce representations with limited expressive power. Sequence encoders are more expressive, but are permutation sensitive by design. Recent efforts to overcome this dilemma turn out to be unsatisfactory for LP tasks. In response, we propose PermGNN, which aggregates neighbor features using a recurrent, order-sensitive aggregator and directly minimizes an LP loss while it is `attacked' by adversarial generator of neighbor permutations. PermGNN has superior expressive power compared to earlier GNNs. Next, we devise an optimization framework to map PermGNN's node embeddings to a suitable locality-sensitive hash, which speeds up reporting the top-K most likely edges for the LP task. Our experiments on diverse datasets show that PermGNN outperforms several state-of-the-art link predictors by a significant margin, and can predict the most likely edges fast.
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Losonci, Dàvid, Richárd Kása, Krisztina Demeter, Balázs Heidrich, and István Jenei. "The impact of shop floor culture and subculture on lean production practices." International Journal of Operations & Production Management 37, no. 2 (February 6, 2017): 205–25. http://dx.doi.org/10.1108/ijopm-11-2014-0524.

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Purpose The purpose of this paper to examine the impact of shop floor (SF) culture (organizational culture (OC) perceived by workers) and SF subcultures assessed by the competing values framework (CVF) on the perceived use of lean production (LP) practices. Design/methodology/approach The authors analyse questionnaires completed by workers at the single case company undergoing a commonplace lean transformation. The survey items cover both LP items and CVF statements. The propositions are analysed applying cluster analysis and regression. Findings At the case company, the multidimensionality of SF culture only partially exists, and the perceived use of LP practices shows little connection to OC. The considerable differences between SF culture and SF subcultures on the one hand and among SF subcultures on the other hand indicate the existence of a special multidimensional SF culture. Altogether, SF culture’s impact on LP is weak. Practical implications Managers should rethink the usual lean implementation pathways and understand how values pervade SF culture and how culture types impact the perceived use of LP practices at the SF. Managers could face a trade-off: smoother lean transition by engaging in SF subculture-specific transitions and reinforcing it or by developing a homogenous lean SF culture. Originality/value To the best of the authors’ knowledge, this is the first empirical attempt to understand the impact of SF culture on the perceived use of LP practices by adopting a validated OC measurement tool. Furthermore, the study provides insight into workers’ subcultures.
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Chen, Jianqiao, and Guofu Tian. "A Tube Linear Model Predictive Control Approach for Autonomous Vehicles Subjected to Disturbances." Applied Sciences 14, no. 7 (March 27, 2024): 2793. http://dx.doi.org/10.3390/app14072793.

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The path tracking performance of autonomous vehicles is degraded by common disturbances, especially those that affect the safety of autonomous vehicles (AVs) in obstacle avoidance conditions. To improve autonomous vehicle tracking performances and their computational efficiency when subjected to common disturbances, this paper proposes a tube linear model predictive controller (MPC) framework for autonomous vehicles. A bicycle vehicle dynamics model is developed and employed in the tube MPC control design in the proposed framework. A robust invariant set is calculated with an efficient linear programming (LP) method, and it is used to guarantee that the constraints are satisfied under common disturbance conditions. The results show that the computational cost of robust positively invariant sets that are constructed by the LP method is much less than that obtained by the traditional method. In addition, all the trajectories of the tube linear MPC successfully avoided obstacles when under disturbance conditions, but only about 80% of the trajectories obtained with the traditional MPC successfully avoided obstacles under disturbance conditions. The proposed framework is effective.
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Zhang, Jianjun, Guangyao Gao, Bojie Fu, Cong Wang, Hoshin V. Gupta, Xiaoping Zhang, and Rui Li. "A universal multifractal approach to assessment of spatiotemporal extreme precipitation over the Loess Plateau of China." Hydrology and Earth System Sciences 24, no. 2 (February 21, 2020): 809–26. http://dx.doi.org/10.5194/hess-24-809-2020.

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Abstract. Extreme precipitation (EP) is a major external agent driving various natural hazards in the Loess Plateau (LP), China. However, the characteristics of the spatiotemporal EP responsible for such hazardous situations remain poorly understood. We integrate universal multifractals with a segmentation algorithm to characterize a physically meaningful threshold for EP (EPT). Using daily data from 1961 to 2015, we investigate the spatiotemporal variation of EP over the LP. Our results indicate that (with precipitation increasing) EPTs range from 17.3 to 50.3 mm d−1, while the mean annual EP increases from 35 to 138 mm from the northwestern to the southeastern LP. Further, historically, the EP frequency (EPF) has spatially varied from 54 to 116 d, with the highest EPF occurring in the mid-southern and southeastern LP where precipitation is much more abundant. However, EP intensities tend to be strongest in the central LP, where precipitation also tends to be scarce, and get progressively weaker as we move towards the margins (similarly to EP severity). An examination of atmospheric circulation patterns indicates that the central LP is the inland boundary with respect to the reach and impact of tropical cyclones in China, resulting in the highest EP intensities and EP severities being observed in this area. Under the control of the East Asian monsoon, precipitation from June to September accounts for 72 % of the total amount, and 91 % of the total EP events are concentrated between June and August. Further, EP events occur, on average, 11 d earlier than the wettest part of the season. These phenomena are responsible for the most serious natural hazards in the LP, especially in the central LP region. Spatiotemporally, 91.4 % of the LP has experienced a downward trend in precipitation, whereas 62.1 % of the area has experienced upward trends in the EP indices, indicating the potential risk of more serious hazardous situations. The universal multifractal approach considers the physical processes and probability distribution of precipitation, thereby providing a formal framework for spatiotemporal EP assessment at the regional scale.
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Mucha, Piotr Bogusław. "The Cauchy problem for the compressible Navier–Stokes equations in the Lp-framework." Nonlinear Analysis: Theory, Methods & Applications 52, no. 4 (February 2003): 1379–92. http://dx.doi.org/10.1016/s0362-546x(02)00270-5.

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Tadros, George. "Intelligent outcome measures in liaison psychiatry: essential even if not desirable." BJPsych Bulletin 40, no. 4 (August 2016): 195–98. http://dx.doi.org/10.1192/pb.bp.115.053397.

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SummaryService development is guided by outcome measures that inform service commissioners and providers. Those in liaison psychiatry should be encouraged to develop a positive approach that integrates the collection of outcome measures into everyday clinical practice. The Framework for Routine Outcome Measurement in Liaison Psychiatry (FROM-LP) is a very useful tool to measure service quality and clinical effectiveness, using a combination of clinician-rated and patient-rated outcome measures and patient-rated experience measures. However, it does not include measures of cost-effectiveness or training activities. The FROM-LP is a significant step towards developing nationally unified outcome measures.
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Maticiuc, Lucian, and Aurel Răşcanu. "Lp-Variational solutions of multivalued backward stochastic differential equations." ESAIM: Control, Optimisation and Calculus of Variations 27 (2021): 88. http://dx.doi.org/10.1051/cocv/2021083.

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We prove the existence and uniqueness of the Lp-variational solution, with p > 1, of the following multivalued backward stochastic differential equation with p-integrable data: {−dYt + ∂yΨ(t,Yt)dQt∋H(t,Yt,Zt)dQt−ZtdBt,0≤t<τ, Yτ = η, where τ is a stopping time, Q is a progressively measurable increasing continuous stochastic process and ∂yΨ is the subdifferential of the convex lower semicontinuous function y↦Ψ(t, y). In the framework of [14] (the case p ≥ 2), the strong solution found it there is the unique variational solution, via the uniqueness property proved in the present article.
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Cockayne, E. "Density functional theory meta GGA study of water adsorption in MIL-53(Cr)." Powder Diffraction 34, no. 3 (July 16, 2019): 227–32. http://dx.doi.org/10.1017/s0885715619000587.

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We use density functional theory meta-generalized gradient approximation TPSS + D3(BJ) + U + J calculations to investigate the energetics and geometry of water molecules in the flexible metal-organic framework material Materials of Institut Lavoisier (MIL)-53(Cr) as a function of cell volume. The critical concentration of water to cause the transition from the large pore (lp) to the narrow pore (np) structure is estimated to be about 0.13 water molecule per Cr. At a concentration x = 1 water molecule per Cr, the zero-temperature np and lp configurations each have a hydrogen bond between the H of each framework hydroxyl group and water oxygen (OW). At intermediate volumes, water dimer-like configurations are observed. A concentration x = 1.25 leads to hydrogen bonding between water molecules in the np phase that is absent for x = 1. Our results suggest possible mechanisms for pore closing in hydrated MIL-53(Cr).
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Xu, Xinxin, Yanyan Tan, Wei Zheng, and Shengtao Li. "Memory-Enhanced Dynamic Multi-Objective Evolutionary Algorithm Based on Lp Decomposition." Applied Sciences 8, no. 9 (September 15, 2018): 1673. http://dx.doi.org/10.3390/app8091673.

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Decomposition-based multi-objective evolutionary algorithms provide a good framework for static multi-objective optimization. Nevertheless, there are few studies on their use in dynamic optimization. To solve dynamic multi-objective optimization problems, this paper integrates the framework into dynamic multi-objective optimization and proposes a memory-enhanced dynamic multi-objective evolutionary algorithm based on L p decomposition (denoted by dMOEA/D- L p ). Specifically, dMOEA/D- L p decomposes a dynamic multi-objective optimization problem into a number of dynamic scalar optimization subproblems and coevolves them simultaneously, where the L p decomposition method is adopted for decomposition. Meanwhile, a subproblem-based bunchy memory scheme that stores good solutions from old environments and reuses them as necessary is designed to respond to environmental change. Experimental results verify the effectiveness of the L p decomposition method in dynamic multi-objective optimization. Moreover, the proposed dMOEA/D- L p achieves better performance than other popular memory-enhanced dynamic multi-objective optimization algorithms.
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Bahrami, Saeedeh, Alireza Bosaghzadeh, and Fadi Dornaika. "Multi Similarity Metric Fusion in Graph-Based Semi-Supervised Learning." Computation 7, no. 1 (March 7, 2019): 15. http://dx.doi.org/10.3390/computation7010015.

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In semi-supervised label propagation (LP), the data manifold is approximated by a graph, which is considered as a similarity metric. Graph estimation is a crucial task, as it affects the further processes applied on the graph (e.g., LP, classification). As our knowledge of data is limited, a single approximation cannot easily find the appropriate graph, so in line with this, multiple graphs are constructed. Recently, multi-metric fusion techniques have been used to construct more accurate graphs which better represent the data manifold and, hence, improve the performance of LP. However, most of these algorithms disregard use of the information of label space in the LP process. In this article, we propose a new multi-metric graph-fusion method, based on the Flexible Manifold Embedding algorithm. Our proposed method represents a unified framework that merges two phases: graph fusion and LP. Based on one available view, different simple graphs were efficiently generated and used as input to our proposed fusion approach. Moreover, our method incorporated the label space information as a new form of graph, namely the Correlation Graph, with other similarity graphs. Furthermore, it updated the correlation graph to find a better representation of the data manifold. Our experimental results on four face datasets in face recognition demonstrated the superiority of the proposed method compared to other state-of-the-art algorithms.
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Ebrahimnejad, Ali. "A method for solving linear programming with interval-valued trapezoidal fuzzy variables." RAIRO - Operations Research 52, no. 3 (July 2018): 955–79. http://dx.doi.org/10.1051/ro/2018007.

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An efficient method to handle the uncertain parameters of a linear programming (LP) problem is to express the uncertain parameters by fuzzy numbers which are more realistic, and create a conceptual and theoretical framework for dealing with imprecision and vagueness. The fuzzy LP (FLP) models in the literature generally either incorporate the imprecisions related to the coefficients of the objective function, the values of the right-hand side, and/or the elements of the coefficient matrix. The aim of this article is to introduce a formulation of FLP problems involving interval-valued trapezoidal fuzzy numbers for the decision variables and the right-hand-side of the constraints. We propose a new method for solving this kind of FLP problems based on comparison of interval-valued fuzzy numbers by the help of signed distance ranking. To do this, we first define an auxiliary problem, having only interval-valued trapezoidal fuzzy cost coefficients, and then study the relationships between these problems leading to a solution for the primary problem. It is demonstrated that study of LP problems with interval-valued trapezoidal fuzzy variables gives rise to the same expected results as those obtained for LP with trapezoidal fuzzy variables.
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Ellis, Rod. "Second language acquisition, teacher education and language pedagogy." Language Teaching 43, no. 2 (September 10, 2009): 182–201. http://dx.doi.org/10.1017/s0261444809990139.

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Various positions regarding the Second Language Acquisition (SLA) – Language Pedagogy (LP) nexus have been advanced. Taking these as a starting point, this article will examine the nature of the SLA/LP relationship both more generally and more concretely. First, it will place the debates evident in the different positions regarding the relationship in a broader educational and professional context by examining the nature of the theory/practice nexus – because the issues at stake do not just concern SLA. Second, it will examine critically a number of options for bridging the divide (e.g. through presenting the pedagogical implications of research, engaging teachers in researching their own classroom or promoting research–teacher collaboration). Third, it will probe the relationship in terms of a framework that links (i) SLA researchers, (ii) classroom researchers, (iii) teacher educators and (iv) language teachers. This framework will serve as a basis for formulating a set of eleven principles that can guide attempts to use SLA theory and research in teacher education programmes.
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Burnett, John E., and Bruce M. Wampler. "Unit Price Contracts: A Practical Framework For Determining Competitive Bid Prices." Journal of Applied Business Research (JABR) 14, no. 3 (August 31, 2011): 63. http://dx.doi.org/10.19030/jabr.v14i3.5704.

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<span>A general analytical framework within which to solve the competitive bidding problem is developed by considering a unit price contract. By viewing the problem in the standard capital budgeting framework and exploiting the linearity of the firms objective function and constraints, the problem can be formulated as a standard linear programming (LP) application whose solution is the optimal bid. We also investigate a so-called unbalanced bidding strategy as an effective way for bidding firms to hedge the risk, or uncertainty, inherent in may unit price contracts.</span>
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Mohr, Sarah, Sabeen Shaiq, and Denise Ziya Berte. "Directive vs. Non-directive Clinical Approaches: Liberation Psychology and Muslim Mental Health." Journal of Islamic Faith and Practice 3, no. 1 (November 24, 2020): 31–58. http://dx.doi.org/10.18060/24667.

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Liberation psychology (LP) is a psychological framework that emphasizes social justice as a key component of mental health, defined in LP as the ability of human beings to co-exist, live in harmony, and thrive in community. Muslim mental health as a clinical focus continues to develop, and most writing emphasizes the importance of cultural sensitivity in providing effective care for Muslims, which the literature often relates to the collectivistic nature of Muslim majority societies. The literature, in turn, often uses collectivistic tendencies and research to support 1-on-1 directive approaches. This paper questions the use of such directive approaches as potentially re-creating a model of hierarchy and dominance that is connected to Muslims’ mental health challenges, particularly those of Muslim sub-populations. The authors suggest and discuss several LP-based alternatives, especially the use of group therapy as a more appropriate and culturally responsive model, from both di-rective and non-directive clinical orientations.
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Santos, Luísa R. A., Felipe Meneguzzi, Ramon Fraga Pereira, and André Grahl Pereira. "An LP-Based Approach for Goal Recognition as Planning." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 13 (May 18, 2021): 11939–46. http://dx.doi.org/10.1609/aaai.v35i13.17418.

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Goal recognition aims to recognize the set of candidate goals that are compatible with the observed behavior of an agent. In this paper, we develop a method based on the operator-counting framework that efficiently computes solutions that satisfy the observations and uses the information generated to solve goal recognition tasks. Our method reasons explicitly about both partial and noisy observations: estimating uncertainty for the former, and satisfying observations given the unreliability of the sensor for the latter. We evaluate our approach empirically over a large data set, analyzing its components on how each can impact the quality of the solutions. In general, our approach is superior to previous methods in terms of agreement ratio, accuracy, and spread. Finally, our approach paves the way for new research on combinatorial optimization to solve goal recognition tasks.
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Wang, Zhuo, Alan A. Stocker, and Daniel D. Lee. "Efficient Neural Codes That Minimize Lp Reconstruction Error." Neural Computation 28, no. 12 (December 2016): 2656–86. http://dx.doi.org/10.1162/neco_a_00900.

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The efficient coding hypothesis assumes that biological sensory systems use neural codes that are optimized to best possibly represent the stimuli that occur in their environment. Most common models use information–theoretic measures, whereas alternative formulations propose incorporating downstream decoding performance. Here we provide a systematic evaluation of different optimality criteria using a parametric formulation of the efficient coding problem based on the [Formula: see text] reconstruction error of the maximum likelihood decoder. This parametric family includes both the information maximization criterion and squared decoding error as special cases. We analytically derived the optimal tuning curve of a single neuron encoding a one-dimensional stimulus with an arbitrary input distribution. We show how the result can be generalized to a class of neural populations by introducing the concept of a meta–tuning curve. The predictions of our framework are tested against previously measured characteristics of some early visual systems found in biology. We find solutions that correspond to low values of [Formula: see text], suggesting that across different animal models, neural representations in the early visual pathways optimize similar criteria about natural stimuli that are relatively close to the information maximization criterion.
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Xu, Bochi. "Variable Exponent Function Spaces related to a Sublinear Expectation." Abstract and Applied Analysis 2020 (January 13, 2020): 1–6. http://dx.doi.org/10.1155/2020/1734174.

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In this paper, variable exponent function spaces Lp·, Lbp·, and Lcp· are introduced in the framework of sublinear expectation, and some basic and important properties of these spaces are given. A version of Kolmogorov’s criterion on variable exponent function spaces is proved for continuous modification of stochastic processes.
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Guest, Caroline, Stephen Crockett, Patrick Little, and Anish Patel. "The clinical utility of the IRAC component of the Framework for Routine Outcome Measurement in Liaison Psychiatry (FROM-LP)." BJPsych Bulletin 42, no. 4 (June 1, 2018): 152–56. http://dx.doi.org/10.1192/bjb.2018.29.

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Aims and methodThe clinical utility of the multidimensional Framework for Routine Outcome Measurement in Liaison Psychiatry (FROM-LP) has not previously been examined. We sought to establish whether referral accuracy and ability to achieve the reason(s) for referral to our liaison service improved after incorporating the Identify and Rate the Aim of the Contact (IRAC) scale of this tool into our referral process. We carried out a retrospective analysis of electronic case notes of all appropriate referrals to the team before and after this adaption.ResultsAccuracy of referrals to our team improved from 73.8 to 93.7% following intervention. Referral requests that were fully achieved improved from 57.4 to 77.8%, and referral requests that were not achieved decreased from 26.2 to 6.4%.Clinical implicationsThe IRAC component of the FROM-LP measures what it was developed for, and thus has clinical utility supporting its widespread adoption across liaison services in the National Health Service.Declaration of interestNone.
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Mishra, Sarita, and Dinabandhu Bag. "Compensation Provisions in a Venture Capital-Limited Partner (VC-LP) Contract : A Theoretical Framework." Indian Journal of Finance 10, no. 5 (May 1, 2016): 50. http://dx.doi.org/10.17010/ijf/2016/v10i5/92949.

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Haseeb, Abdul, and Meraj Ali Khan. "Conformal η -Ricci-Yamabe Solitons within the Framework of ϵ -LP-Sasakian 3-Manifolds." Advances in Mathematical Physics 2022 (August 2, 2022): 1–8. http://dx.doi.org/10.1155/2022/3847889.

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In the present note, we study ϵ -LP-Sasakian 3-manifolds M 3 ϵ whose metrics are conformal η -Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M 3 ϵ with a constant scalar curvature admits a CERYS, then £ U ζ is orthogonal to ζ if and only if Λ − ϵ σ = − 2 ϵ l + m r / 2 + 1 / 2 p + 2 / 3 . Further, we study gradient CERYS in M 3 ϵ and proved that an M 3 ϵ admitting gradient CERYS is a generalized conformal η -Einstein manifold; moreover, the gradient of the potential function is pointwise collinear with the Reeb vector field ζ . Finally, the existence of CERYS in an M 3 ϵ has been drawn by a concrete example.
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Mucha, Piotr Bogusław. "On an estimate for the linearized compressible Navier–Stokes equations in the Lp-framework." Colloquium Mathematicum 87, no. 2 (2001): 159–69. http://dx.doi.org/10.4064/cm87-2-2.

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Lin, Fan, Yingpin Chen, Lingzhi Wang, Yuqun Chen, Wei Zhu, and Fei Yu. "An Efficient Image Reconstruction Framework Using Total Variation Regularization with Lp-Quasinorm and Group Gradient Sparsity." Information 10, no. 3 (March 16, 2019): 115. http://dx.doi.org/10.3390/info10030115.

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The total variation (TV) regularization-based methods are proven to be effective in removing random noise. However, these solutions usually have staircase effects. This paper proposes a new image reconstruction method based on TV regularization with Lp-quasinorm and group gradient sparsity. In this method, the regularization term of the group gradient sparsity can retrieve the neighborhood information of an image gradient, and the Lp-quasinorm constraint can characterize the sparsity of the image gradient. The method can effectively deblur images and remove impulse noise to well preserve image edge information and reduce the staircase effect. To improve the image recovery efficiency, a Fast Fourier Transform (FFT) is introduced to effectively avoid large matrix multiplication operations. Moreover, by introducing accelerated alternating direction method of multipliers (ADMM) in the method to allow for a fast restart of the optimization process, this method can run faster. In numerical experiments on standard test images sourced form Emory University and CVG-UGR (Computer Vision Group, University of Granada) image database, the advantage of the new method is verified by comparing it with existing advanced TV-based methods in terms of peak signal-to-noise ratio (PSNR), structural similarity (SSIM), and operational time.

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