Relevant bibliographies by topics / Monotonity

Academic literature on the topic 'Monotonity'

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Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Monotonity"

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Bobor, Kristóf, and György Krállics. "Study of Non-Monotonity of Forming Processes Using Finite Element Analysis." Materials Science Forum 659 (September 2010): 373–78. http://dx.doi.org/10.4028/www.scientific.net/msf.659.373.

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The method of severe plastic deformation is often used to produce bulk ultra-fine grained materials. Numerous methods exist, which are able to produce ultra fine grained materials. Investigated the mechanical schema of these procedures, we searched for such attributes, which characterize the mentioned techniques. By our previous researches can be established, that for these techniques shear deformation as well as the so-called non-monotonic deformation are characteristic. In this paper a degree of non-monotonity is presented, which is an appropriate measure to characterize the forming processes. Besides this the combined Euler – Lagrange method is showed, which is appropriate to obtain a continuous velocity field from finite element analysis. Eventually the mechanical analysis of the extrusion, conventional and asymmetric rolling is showed with respect to the non-monotonity.
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Fiala, Tibor. "On the monotonity of incomplete factorization." Numerische Mathematik 57, no. 1 (December 1990): 473–79. http://dx.doi.org/10.1007/bf01386424.

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Polyakov, O. V. "On one property of zeros of polynomials of the least $$$(\alpha; \beta)$$$-deviation from zero in weighted space $$$L_p$$$." Dnipro University Mathematics Bulletin 26, no. 1 (June 25, 2018): 79. http://dx.doi.org/10.15421/241810.

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Szabó, Gy, K. Sárneczky, and L. L. Kiss. "The O–C diagrams of minor planets − a new approach to modelling the rotation." International Astronomical Union Colloquium 173 (1999): 185–88. http://dx.doi.org/10.1017/s0252921100031407.

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AbstractA widely used tool in studying quasi-monoperiodic processes is the O–C diagram. This paper deals with the application of this diagram in minor planet studies. The main difference between our approach and the classical O–C diagram is that we transform the epoch (=time) dependence into the geocentric longitude domain. We outline a rotation modelling using this modified O–C and illustrate the abilities with detailed error analysis. The primary assumption, that the monotonity and the shape of this diagram is (almost) independent of the geometry of the asteroids is discussed and tested. The monotonity enables an unambiguous distinction between the prograde and retrograde rotation, thus the four-fold (or in some cases the two-fold) ambiguities can be avoided. This turned out to be the main advantage of the O–C examination. As an extension to the theoretical work, we present some preliminary results on 1727 Mette based on new CCD observations.
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Bobor, K., and Gy Krallics. "Characterization of metal-forming processes with respect to non-monotonity." Journal of Physics: Conference Series 240 (July 1, 2010): 012126. http://dx.doi.org/10.1088/1742-6596/240/1/012126.

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Peng, Jianwen. "System of generalised set-valued quasi-variational-like inequalities." Bulletin of the Australian Mathematical Society 68, no. 3 (December 2003): 501–15. http://dx.doi.org/10.1017/s0004972700037904.

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In this paper, we shall introduce a system of generalised set-valued quasi-variational-like inequalities, which generalises and unifies systems of generalised vector variational inequalities, systems of variational inequalities, generalised vector quasi-variational-like inequalities as well as various extensions of the classic variational inequalities in the literature. Some existence results for a solution of a system of generalized set-valued quasi-variational-like inequalities without any monotonity are obtained.
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Némethi, András, and Meral Tosun. "Invariants of open books of links of surface singularities." Studia Scientiarum Mathematicarum Hungarica 48, no. 1 (March 1, 2011): 135–44. http://dx.doi.org/10.1556/sscmath.2010.1159.

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If M is the link of a complex normal surface singularity, then it carries a canonical contact structure ξcan, which can be identified from the topology of the 3-manifold M. We assume that M is a rational homology sphere. We compute the support genus, the binding number and the norm associated with the open books which support ζcan, provided that we restrict ourselves to the case of (analytic) Milnor open books. In order to do this, we determine monotonity properties of the genus and the Milnor number of all Milnor fibrations in terms of the Lipman cone.We generalize results of [3] valid for links of rational surface singularities, and we answer some questions of Etnyre and Ozbagci [7, section 8] regarding the above invariants.
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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.
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Abbas, Rachid, Caroline Rossoni, Thomas Jaki, Xavier Paoletti, and Pavel Mozgunov. "A comparison of phase I dose-finding designs in clinical trials with monotonicity assumption violation." Clinical Trials 17, no. 5 (July 7, 2020): 522–34. http://dx.doi.org/10.1177/1740774520932130.

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Background/Aims In oncology, new combined treatments make it difficult to order dose levels according to monotonically increasing toxicity. New flexible dose-finding designs that take into account uncertainty in dose levels ordering were compared with classical designs through simulations in the setting of the monotonicity assumption violation. We give recommendations for the choice of dose-finding design. Methods Motivated by a clinical trial for patients with high-risk neuroblastoma, we considered designs that require a monotonicity assumption, the Bayesian Continual Reassessment Method, the modified Toxicity Probability Interval, the Bayesian Optimal Interval design, and designs that relax monotonicity assumption, the Bayesian Partial Ordering Continual Reassessment Method and the No Monotonicity Assumption design. We considered 15 scenarios including monotonic and non-monotonic dose–toxicity relationships among six dose levels. Results The No Monotonicity Assumption and Partial Ordering Continual Reassessment Method designs were robust to the violation of the monotonicity assumption. Under non-monotonic scenarios, the No Monotonicity Assumption design selected the correct dose level more often than alternative methods on average. Under the majority of monotonic scenarios, the Partial Ordering Continual Reassessment Method selected the correct dose level more often than the No Monotonicity Assumption design. Other designs were impacted by the violation of the monotonicity assumption with a proportion of correct selections below 20% in most scenarios. Under monotonic scenarios, the highest proportions of correct selections were achieved using the Continual Reassessment Method and the Bayesian Optimal Interval design (between 52.8% and 73.1%). The costs of relaxing the monotonicity assumption by the No Monotonicity Assumption design and Partial Ordering Continual Reassessment Method were decreases in the proportions of correct selections under monotonic scenarios ranging from 5.3% to 20.7% and from 1.4% to 16.1%, respectively, compared with the best performing design and were higher proportions of patients allocated to toxic dose levels during the trial. Conclusions Innovative oncology treatments may no longer follow monotonic dose levels ordering which makes standard phase I methods fail. In such a setting, appropriate designs, as the No Monotonicity Assumption or Partial Ordering Continual Reassessment Method designs, should be used to safely determine recommended for phase II dose.
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Wei, Chun-Fu, and Bai-Ni Guo. "Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/851213.

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Some complete monotonicity results that the functions±1/e±t-1are logarithmically completely monotonic, and that differences between consecutive derivatives of these two functions are completely monotonic, and that the ratios between consecutive derivatives of these two functions are decreasing on0, ∞are discovered. As applications of these newly discovered results, some complete monotonicity results concerning the polylogarithm are found. Finally a conjecture on the complete monotonicity of the above-mentioned ratios is posed.
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Dissertations / Theses on the topic "Monotonity"

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Зозуля, Назар Миколайович. "Система автоматичного керування положенням робочого органу машини лазерного різання." Bachelor's thesis, КПІ ім. Ігоря Сікорського, 2021. https://ela.kpi.ua/handle/123456789/42370.

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Дипломний проєкт містить 72 сторінок, 39 рисунків, 3 таблиці, 3 аркуша графічної частини. Метою даного проєкту є розробка системи автоматичного керування положенням робочого органу машини лазерного різання. Розроблена система спроєктована згідно вимог до проєкту. Під час виконання роботи було розраховано та визначено параметри двигуна постійного струму. Обрано систему керування двигуном. Проведено ряд досліджень за допомогою побудованої моделі в середовищі MatLab/Simulink. Спроєкктована система може бути використана на високотехнологічних заводах де відбувається різання або ж обробка різних матеріалів наприклад металу. За допомогою даного верстату можна заощадити велику кількість людських годин, коштів та часу, адже робота станка майже повністю автоматична, а відсоток браку мінімальний. Графічна частина включає в себе: схематичне зображення установки, схему електричну принципову, графіки перехідних процесів системи при дослідженнях в різних режимах роботи.
The diploma project contains 72 pages, 39 figures, 3 tables, 3 sheets of graphic part. The purpose of this project is to develop a system for automatic control of the position of the working body of the laser cutting machine. The developed system is designed according to the requirements of the project. During the work, the parameters of the DC motor were calculated and determined. Engine control system selected. A number of studies were conducted using the built model in the MatLab / Simulink environment. The designed system can be used in high-tech factories where cutting or processing of various materials such as metal. With this machine you can save a lot of human hours, money and time, because the machine is almost completely automatic, and the percentage of waste is minimal. The graphic part includes: a schematic representation of the installation, the electrical circuit diagram, graphs of the transients of the system during research in different modes of operation.
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Kyureghyan, Marina. "Monotonicity checking." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=970065345.

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Raskhodnikova, Sofya 1976. "Monotonicity testing." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/80562.

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Dai, Pra Paolo, Pierre-Yves Louis, and Ida Minelli. "Monotonicity and complete monotonicity for continuous-time Markov chains." Universität Potsdam, 2006. http://opus.kobv.de/ubp/volltexte/2006/766/.

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We analyze the notions of monotonicity and complete monotonicity for Markov Chains in continuous-time, taking values in a finite partially ordered set. Similarly to what happens in discrete-time, the two notions are not equivalent.
However, we show that there are partially ordered sets for which monotonicity and complete monotonicity coincide in continuous time but not in discrete-time.
Nous étudions les notions de monotonie et de monotonie complète pour les processus de Markov (ou chaînes de Markov à temps continu) prenant leurs valeurs dans un espace partiellement ordonné. Ces deux notions ne sont pas équivalentes, comme c'est le cas lorsque le temps est discret. Cependant, nous établissons que pour certains ensembles partiellement ordonnés, l'équivalence a lieu en temps continu bien que n'étant pas vraie en temps discret.
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Skaldeman, Åse. "Nya Hjorthagen." Thesis, KTH, Arkitektur, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-229793.

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All around Stockholm, housing is under construction. But the theme is not housing - it is variation. Varied facades, varied roofscapes, to create variation along the streets. I propose that there is a safety in monotony - the kind that is lacking on the housing market. Anonymity can be a sign that the sender had you in mind, rather than themselves; this was the best we could do, therefore we repeated it over and over again, implying there is a ”we” and not an ”I” behind it all. This that is provided for you - for example a home - is not something you must earn, it can be taken for granted, by you and everyone else. Nya Hjorthagen is an alternative proposal for the site of Norra Djurgårdsstaden.
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Stagova, Emine. "Finns det skillnader i känsla av sammanhang mellan personer på monotona och icke -monotona arbetsplatser med hänsyn tagen till syskonplacering?" Thesis, Växjö University, School of Social Sciences, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-2583.

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The aim of this study was to examine whether there are differences in Sense of Coherence between people in monotonous and non – monotonous jobs with regard to birth order. In this present study, 89 individuals from three different working organizations participated, of which 51 (57, 3 %) of them were men and 38 (42, 7 %) women. The results showed that in varying occupations, firstborn children showed a higher level of Sense of Coherence. In monotonus jobs, middle children prove to have the lowest level of Sence of Coherence. The results from this study also show that Sense of Coherence is associated with the individuals’ age and their experienced relationship with their parents during childhood.


Sammanfattning

Syftet med den här studien var att undersöka om det finns skillnader i känsla av sammanhang mellan personer på monotona och icke – monotona arbeten med hänsyn tagen till syskonplacering. I den här studien deltog 89 personer från tre olika arbetsorganisationer i södra Sverige, varav 51 (57,3 %) av dem var män och 38 (42,7 %) kvinnor. Resultatet visade att i varierade arbeten har förstfödda barn högre nivåer av KASAM. I monotona arbeten uppvisar mellanbarn inneha den lägsta nivån av KASAM. Resultatet från denna studie visar även att KASAM är kopplad till individers ålder och upplevda relation till föräldrarna under barndomen.

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Kadi, Imène Yamina. "Simulation et monotonie." Versailles-St Quentin en Yvelines, 2011. http://www.theses.fr/2011VERS0029.

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Les travaux de cette thèse portent sur l'apport de la monotonie sur les méthodes de simulations. Dans un premier temps, nous nous intéressons à l'étude des différentes notions de monotonie utilisées dans la modélisation stochastique, en essayant de définir les relations qui existent entre elles. Trois concepts ont été définis dans ce domaine: la monotonie stochastique basée sur la comparaison stochastique, la monotonie réalisable et enfin, la monotonie événementielle utilisée dans la simulation parfaite. Cette étude a permis d'utiliser les propriétés de monotonie stochastique dans le cadre de la simulation parfaite monotone. D'un autre coté, nous avons proposé des codages monotones inversibles pour des systèmes dont la représentation naturelle est non monotone. Ce codage permet d'accélérer les simulations monotones et a trouvé son application dans la simulation de burst optiques. Un autre travail a été réalisé, cette fois-ci, dans le domaine de la simulation parallèle, il consiste à utiliser les propriétés de monotonie des systèmes simulés afin de mieux paralléliser le processus de simulation. Ce qui devrait produire une accélération conséquente des simulations
The work of this thesis concern the contribution of the monotony in simulation methods. Initially, we focus on the study of different monotonicity notions used in stochastic modeling, trying to define the relationships between them. Three concepts have been defined in this field: the stochastic monotonicity based on stochastic comparison, the realizable monotony and finally the events monotony used in the perfect simulation. This study allowed us to use the stochastic monotonicity properties under the monotone perfect simulation. On the other hand, we have proposed monotone invertible encodings for systems whose natural representation is not monotone. This encoding allows to accelerate monotonous simulations and found its application in the simulation of optical burst. Another work was done in the field of parallel simulation, it use monotonicity properties of simulated systems to better parallelize the simulation process. This should produce a substantial acceleration in simulations
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Mukanov, Askhat. "Integrability of Fourier transforms, general monotonicity, and related problems." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/463043.

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El propòsit d'aquesta tesi és el d'estudiar les propietats d'integrabilitat i convergència de sèries i transformades de Fourier. Els resultats principals són els següents: 1. Incestiguem les propietats d'integrabilitat de sèries trigonomètriques amb coeficients que satisfan una condició de monotonia general i demostrem resultats del tipus Hardy-Littlewood, és a dir, equivalències entre normes de les sumes de sèries trigonomètriques i normes amb pesos dels seus coeficients de Fourier. Demostrem aquestes equivalències en espais de Lorentz i espais de Lebesgue amb pesos. 2. Estudiem propietats de suavitat de funcions que poden ser representades per mitjà de sèries trigonomètriques amb coefficients que satisfan una condició de monotonia general. Es demostra una equivalència del Lp-mòdul de suavitat d'aquestes funcions i les sumes amb pesos dels seus coeficients de Fourier. 3. Obtenim versions multi-dimensionals de teoremes de tipus Boas en relació a les propietats d'integrabilitat de transformades de Fourier de funcions que són monòtones en totes les variable. 4. Finalment, estudiem criteris per a la convergència uniforme de sèries trigonomètriques amb coefficients que satisfan una condició de monotonia general. En particular, generalitzem el conegut criteri de Chaundy-Jolliffe per a la convergència uniforme de sèries sinusoidals i obtenim el resultat corresponent per sèries cosinusoidals. A més, provem condicions necessàries i suficients per tal que les sumes partials de Fourier d'aquestes sèries tinguin un cert ordre de convergència.
This thesis is devoted to the study of integrability and convergence properties of Fourier series and transforms. The main results are the following. 1. We investigate the integrability properties of trigonometric series with general monotone coefficients and prove the Hardy-Littlewood-type results, i.e., equivalences of the norms of sums of trigonometric series and weighted norms of their Fourier coefficients. We prove such equivalences for the Lorentz and weighted Lebesgue spaces. Here we deal with the trigonometric series with general monotone coefficients. 2. We study the smoothness properties of functions that can be represented by trigonometric series with general monotone coefficients. The equivalence of the Lp-modulus of smoothness of such functions and weighted sums of their Fourier coefficients is proved. 3. We obtain the multidimensional versions of Boas-type theorem on integrability properties of the Fourier transforms of monotone in each variable functions. 4. Finally, we study criteria for the uniform convergence of trigonometric series with general monotone coefficients. In particular, we generalize the well-known Chaundy-Jolliffee criterion for the uniform convergence of sine series and obtain the corresponding result for cosine series. Moreover, we prove necessary and sufficient conditions for partial Fourier sums of such series to have certain convergence rate.
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Gartside, Paul Michael. "Monotonicity in analytic topology." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.334965.

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Bayless, Sam. "SAT modulo monotonic theories." Thesis, University of British Columbia, 2017. http://hdl.handle.net/2429/61062.

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Satisfiability Modulo Theories (SMT) solvers are a class of efficient constraint solvers which form integral parts of many algorithms. Over the years, dozens of different Satisfiability Modulo Theories solvers have been developed, supporting dozens of different logics. However, there are still many important applications for which specialized SMT solvers have not yet been developed. We develop a framework for easily building efficient SMT solvers for previously unsupported logics. Our techniques apply to a wide class of logics which we call monotonic theories, which include many important elements of graph theory and automata theory. Using this SAT Modulo Monotonic Theories framework, we created a new SMT solver, MonoSAT. We demonstrate that MonoSAT improves the state of the art across a wide body of applications, ranging from circuit layout and data center management to protocol synthesis - and even to video game design.
Science, Faculty of
Computer Science, Department of
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Books on the topic "Monotonity"

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Monotonija. Skopje: Kultura, 2010.

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Poppy, Edy. Anatomi, monotoni. [Oslo]: Gyldendal, 2005.

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Simons, Stephen. Minimax and Monotonicity. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0093633.

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Minimax and monotonicity. Berlin: Springer, 1998.

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Bârna, Vlaicu. Monotonia metronomului: Versuri. București: Editura Eminescu, 1985.

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Reinfrank, M., J. de Kleer, M. L. Ginsberg, and E. Sandewall, eds. Non-Monotonic Reasoning. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3-540-50701-9.

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Turnovec, Frantisek. Monotonicity of power indices. Vienna: Institut für Höhere Studien/Institute for Advanced Studies, 1997.

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Félix, Carlota. La monotonía del silencio. Quito, Ecuador: Casa de la Cultura Ecuatoriana "Benjamín Carrión", 1988.

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From Hahn-Banach to monotonicity. 2nd ed. Berlin: Springer, 2008.

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Rosario de la Peña Moratilla. Diario de una monotonía fantástica. Madrid: Vulcano Ediciones, 2000.

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Book chapters on the topic "Monotonity"

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Chen, Jein-Shan. "SOC-Convexity and SOC-Monotonity." In Springer Optimization and Its Applications, 39–99. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-4077-2_2.

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Yang, Jingzhuo, Yu Wang, and Qinghua Hu. "Monotonicity Extraction for Monotonic Bayesian Networks Parameter Learning." In Neural Information Processing, 571–81. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04182-3_50.

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Thomson, Brian S. "Monotonicity." In Lecture Notes in Mathematics, 115–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074385.

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Ene, Vasile. "Monotonicity." In Real Functions—Current Topics, 141–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0095392.

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Dunn, John C., and Michael L. Kalish. "Monotonicity." In State-Trace Analysis, 21–31. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-73129-2_2.

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Hale, Jack K., Luis T. Magalhães, and Waldyr M. Oliva. "Monotonicity." In Dynamics in Infinite Dimensions, 209–27. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/0-387-22896-9_10.

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Meyer, Pierre-Jean, Alex Devonport, and Murat Arcak. "Monotonicity." In SpringerBriefs in Electrical and Computer Engineering, 25–32. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-65110-7_3.

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Spel, Jip, Sebastian Junges, and Joost-Pieter Katoen. "Finding Provably Optimal Markov Chains." In Tools and Algorithms for the Construction and Analysis of Systems, 173–90. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72016-2_10.

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AbstractParametric Markov chains (pMCs) are Markov chains with symbolic (aka: parametric) transition probabilities. They are a convenient operational model to treat robustness against uncertainties. A typical objective is to find the parameter values that maximize the reachability of some target states. In this paper, we consider automatically proving robustness, that is, an $$\varepsilon $$ ε -close upper bound on the maximal reachability probability. The result of our procedure actually provides an almost-optimal parameter valuation along with this upper bound.We propose to tackle these ETR-hard problems by a tight combination of two significantly different techniques: monotonicity checking and parameter lifting. The former builds a partial order on states to check whether a pMC is (local or global) monotonic in a certain parameter, whereas parameter lifting is an abstraction technique based on the iterative evaluation of pMCs without parameter dependencies. We explain our novel algorithmic approach and experimentally show that we significantly improve the time to determine almost-optimal synthesis.
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Peter, Helga. "Monotonie." In Springer Reference Medizin, 1. Berlin, Heidelberg: Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-642-54672-3_635-1.

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Naniewicz, Z., and P. D. Panagiotopoulos. "Pseudo-Monotonicity and Generalized Pseudo-Monotonicity." In Mathematical Theory of Hemivariational Inequalities and Applications, 41–63. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9781003208853-2.

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Conference papers on the topic "Monotonity"

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Paulino-Passos, Guilherme, and Francesca Toni. "Monotonicity and Noise-Tolerance in Case-Based Reasoning with Abstract Argumentation." In 18th International Conference on Principles of Knowledge Representation and Reasoning {KR-2021}. California: International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/kr.2021/48.

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Recently, abstract argumentation-based models of case-based reasoning (AA-CBR in short) have been proposed, originally inspired by the legal domain, but also applicable as classifiers in different scenarios. However, the formal properties of AA-CBR as a reasoning system remain largely unexplored. In this paper, we focus on analysing the non-monotonicity properties of a regular version of AA-CBR (that we call AA-CBR_>). Specifically, we prove that AA-CBR_> is not cautiously monotonic, a property frequently considered desirable in the literature. We then define a variation of AA-CBR_> which is cautiously monotonic. Further, we prove that such variation is equivalent to using AA-CBR_> with a restricted casebase consisting of all "surprising" and "sufficient" cases in the original casebase. As a by-product, we prove that this variation of AA-CBR_> is cumulative, rationally monotonic, and empowers a principled treatment of noise in "incoherent" casebases. Finally, we illustrate AA-CBR and cautious monotonicity questions on a case study on the U.S. Trade Secrets domain, a legal casebase.
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Magiera, Krzysztof, and Piotr Faliszewski. "Recognizing Top-Monotonic Preference Profiles in Polynomial Time." In Twenty-Sixth International Joint Conference on Artificial Intelligence. California: International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/46.

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We provide the first polynomial-time algorithm for recognizing if a profile of (possibly weak) preference orders is top-monotonic. Top-monotonicity is a generalization of the notions of single-peakedness and single-crossingness, defined by Barbera and Moreno. Top-monotonic profiles always have weak Condorcet winners and satisfy a variant of the median voter theorem. Our algorithm proceeds by reducing the recognition problem to the SAT-2CNF problem.
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Kirk, Tanner, Richard Malak, and Raymundo Arroyave. "Computational Design of Compositionally Graded Alloys for Property Monotonicity." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22235.

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Abstract Compositionally graded alloys can realize multiple conflicting properties in the same part, but the formation of secondary phases can often lead to cracks or deleterious properties. In prior work, a computational methodology was presented that can design compositional gradients to avoid these phases at any temperature in high dimensions [1]. The methodology also optimizes paths for a specified cost function, but prior work only considered minimizing path length or maximizing obstacle clearance. In this work, a new cost function is presented to produce compositional paths with optimal property gradients. Specifically, monotonicity is presented as the optimal quality of a pathwise property gradient because monotonic property gradients can be transformed to nearly any form on the part by controlling deposition rate. The proposed cost function uses a metric for non-monotonicity to find the shortest path with monotonic properties and is shown to be compatible with optimal path planners. A synthetic case study examines the effect of a cost function parameter on the trade-off between length and monotonicity. The cost function is also demonstrated in the Fe-Co-Cr system to find a compositional path with monotonic gradients in Coefficient of Thermal Expansion (CTE). The deposition of the path on a hypothetical part is then planned subject to a maximum deposition rate and CTE gradient. Future work is proposed to extend the framework to optimize multiple properties at once and to incorporate Multi-Material Topology Optimization (MMTO) techniques into a complete design methodology for functionally graded metal parts.
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Tong, Shiwei, Qi Liu, Runlong Yu, Wei Huang, Zhenya Huang, Zachary A. Pardos, and Weijie Jiang. "Item Response Ranking for Cognitive Diagnosis." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. California: International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/241.

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Cognitive diagnosis, a fundamental task in education area, aims at providing an approach to reveal the proficiency level of students on knowledge concepts. Actually, monotonicity is one of the basic conditions in cognitive diagnosis theory, which assumes that student's proficiency is monotonic with the probability of giving the right response to a test item. However, few of previous methods consider the monotonicity during optimization. To this end, we propose Item Response Ranking framework (IRR), aiming at introducing pairwise learning into cognitive diagnosis to well model the monotonicity between item responses. Specifically, we first use an item specific sampling method to sample item responses and construct response pairs based on their partial order, where we propose the two-branch sampling methods to handle the unobserved responses. After that, we use a pairwise objective function to exploit the monotonicity in the pair formulation. In fact, IRR is a general framework which can be applied to most of contemporary cognitive diagnosis models. Extensive experiments demonstrate the effectiveness and interpretability of our method.
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Michelena, Nestor F., and Alice M. Agogino. "Formal Solution of N-Type Taguchi Parameter Design Problems With Stochastic Noise Factors." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0025.

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Abstract The Taguchi method of product design is a statistical experimental technique aimed at reducing the variance of a product performance characteristic due to uncontrollable factors. The goal of this paper is to provide a monotonicity analysis based methodology to facilitate the solution of N-type parameter design problems. The obtained design is robust, i.e., the least sensitive to variations on uncontrollable factors (noise). The performance characteristic is unbiased in the sense that its expected value equals a target or specification. The proposed loss function is based on the absolute deviation of the characteristic with respect to the target, instead of the common square error approach. Conditions, like those imposed by monotonicity analysis, on the monotonic characteristics of the performance function are proven, despite the objective function is not monotonic and contains stochastic parameters. These conditions allow the qualitative analysis of the problem to identify the activity of some constraints. Identification of active sets of constraints allows a problem reduction strategy to be employed, where the solution to the original problem is obtained by solving a set of problems with fewer degrees of freedom. Results for the case of one uncontrollable factor are independent of the probability measure on the factor. However, conclusions for the multi-parametric case must take into account the characteristics of the probability space on which the random parameters are defined.
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Hammond, C. R., and G. E. Johnson. "A General Approach to Constrained Optimal Design Based on Symbolic Mathematics." In ASME 1987 Design Technology Conferences. American Society of Mechanical Engineers, 1987. http://dx.doi.org/10.1115/detc1987-0005.

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Abstract This paper presents a new method of optimal design that combines ideas and techniques from both the Method of Optimal Design (MOD) and monotonicity analysis. This new method, while presently limited to constrained monotonic problems, has been automated. The problem is first reduced in size and reformulated using ideas from MOD. The reduced problem is then repeatedly reformulated to develop state and design equations in terms of all possible variable partitions. The complete set of candidate optimal solution points is extracted by monotonicity analysis applied to the trivial constraint sets on the design equations from every possible formulation of the problem. These candidate solution points can then be numerically sorted to determine the optimal solution for a particular numerical case. The new method and its automation are illustrated with two example problems from the literature.
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Al-Wahah, Mouiad, and Csilla Farkas. "Monotonic and Non-monotonic Context Delegation." In 5th International Conference on Information Systems Security and Privacy. SCITEPRESS - Science and Technology Publications, 2019. http://dx.doi.org/10.5220/0007400904490460.

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Borg, AnneMarie, and Christian Straßer. "Relevance in Structured Argumentation." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. California: International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/242.

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We study properties related to relevance in non-monotonic consequence relations obtained by systems of structured argumentation. Relevance desiderata concern the robustness of a consequence relation under the addition of irrelevant information. For an account of what (ir)relevance amounts to we use syntactic and semantic considerations. Syntactic criteria have been proposed in the domain of relevance logic and were recently used in argumentation theory under the names of non-interference and crash-resistance. The basic idea is that the conclusions of a given argumentative theory should be robust under adding information that shares no propositional variables with the original database. Some semantic relevance criteria are known from non-monotonic logic. For instance, cautious monotony states that if we obtain certain conclusions from an argumentation theory, we may expect to still obtain the same conclusions if we add some of them to the given database. In this paper we investigate properties of structured argumentation systems that warrant relevance desiderata.
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Wu, Peng, Albert Cohen, Jay Hoeflinger, and David Padua. "Monotonic evolution." In the 15th international conference. New York, New York, USA: ACM Press, 2001. http://dx.doi.org/10.1145/377792.377809.

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Monderer, Dov. "Monotonicity and implementability." In the 9th ACM conference. New York, New York, USA: ACM Press, 2008. http://dx.doi.org/10.1145/1386790.1386799.

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Reports on the topic "Monotonity"

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Heckman, James, and Rodrigo Pinto. Unordered Monotonicity. Cambridge, MA: National Bureau of Economic Research, June 2017. http://dx.doi.org/10.3386/w23497.

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Lee, Sokbae (Simon), Oliver Linton, and Yoon-Jae Whang. Testing for stochastic monotonicity. Institute for Fiscal Studies, July 2008. http://dx.doi.org/10.1920/wp.cem.2008.2108.

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Fenimore, Charles, John Libert, and Michael Brill. Algebraic constraints implying monotonicity for cubics. Gaithersburg, MD: National Institute of Standards and Technology, 2000. http://dx.doi.org/10.6028/nist.ir.6453.

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Chetverikov, Denis, and Daniel Wilhelm. Nonparametric instrumental variable estimation under monotonicity. Institute for Fiscal Studies, July 2015. http://dx.doi.org/10.1920/wp.cem.2015.3915.

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Wilhelm, Daniel, and Denis Chetverikov. Nonparametric instrumental variable estimation under monotonicity. The IFS, September 2016. http://dx.doi.org/10.1920/wp.cem.2016.4816.

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Chetverikov, Denis, and Daniel Wilhelm. Nonparametric instrumental variable estimation under monotonicity. The IFS, March 2017. http://dx.doi.org/10.1920/wp.cem.2017.1417.

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Kim, Dongwoo, Daniel Wilhelm, and Denis Chetverikov. An adaptive test of stochastic monotonicity. The IFS, October 2019. http://dx.doi.org/10.1920/wp.cem.2019.4919.

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Kim, Dongwoo, Daniel Wilhelm, and Denis Chetverikov. An Adaptive Test of Stochastic Monotonicity. The IFS, May 2020. http://dx.doi.org/10.1920/wp.cem.2020.1720.

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Chetverikov, Denis. Testing regression monotonicity in econometric models. Institute for Fiscal Studies, November 2012. http://dx.doi.org/10.1920/wp.cem.2012.3512.

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Wilhelm, Daniel, Denis Chetverikov, and Dongwoo Kim. An adaptive test of stochastic monotonicity. The IFS, April 2018. http://dx.doi.org/10.1920/wp.cem.2018.2418.

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