Academic literature on the topic 'Optimality'

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Journal articles on the topic "Optimality"

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Papadakis, Ioannis N. M. "On the Universal Encoding Optimality of Primes." Mathematics 9, no. 24 (December 7, 2021): 3155. http://dx.doi.org/10.3390/math9243155.

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The factorial-additive optimality of primes, i.e., that the sum of prime factors is always minimum, implies that prime numbers are a solution to an integer linear programming (ILP) encoding optimization problem. The summative optimality of primes follows from Goldbach’s conjecture, and is viewed as an upper efficiency limit for encoding any integer with the fewest possible additions. A consequence of the above is that primes optimally encode—multiplicatively and additively—all integers. Thus, the set P of primes is the unique, irreducible subset of ℤ—in cardinality and values—that optimally encodes all numbers in ℤ, in a factorial and summative sense. Based on these dual irreducibility/optimality properties of P, we conclude that primes are characterized by a universal “quantum type” encoding optimality that also extends to non-integers.
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van de Vijver, Ruben. "Optimality theory." Lingua 110, no. 11 (November 2000): 881–90. http://dx.doi.org/10.1016/s0024-3841(00)00012-7.

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Dayan, Peter, and Jon Oberlander. "Vaulting optimality." Behavioral and Brain Sciences 14, no. 2 (June 1991): 221–22. http://dx.doi.org/10.1017/s0140525x00066231.

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Dong, Lixin, Haixing Zhao, and Hong-Jian Lai. "Local Optimality of Mixed Reliability for Several Classes of Networks with Fixed Sizes." Axioms 11, no. 3 (February 24, 2022): 91. http://dx.doi.org/10.3390/axioms11030091.

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In this work, the local optimality of mixed reliability of networks is surveyed. A reliability comparison criterion related with subgraphs to measure the local optimality of the mixed reliability of networks is established. Using the comparison criterion, we characterize all locally optimally mixed reliable networks among all n-vertex networks with fixed sizes m=n, m=n+1 and m=n+2, respectively.
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Bonifacius, Lucas, and Karl Kunisch. "Time-optimality by distance-optimality for parabolic control systems." ESAIM: Mathematical Modelling and Numerical Analysis 54, no. 1 (January 2020): 79–103. http://dx.doi.org/10.1051/m2an/2019046.

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The equivalence of time-optimal and distance-optimal control problems is shown for a class of parabolic control systems. Based on this equivalence, an approach for the efficient algorithmic solution of time-optimal control problems is investigated. Numerical examples are provided to illustrate that the approach works well in practice.
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Goldenberg, Meir, Ariel Felner, Nathan Sturtevant, Robert C. Holte, and Jonathan Schaeffer. "Optimal-Generation Variants of EPEA*." Proceedings of the International Symposium on Combinatorial Search 4, no. 1 (August 20, 2021): 89–97. http://dx.doi.org/10.1609/socs.v4i1.18288.

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It is known that A* is optimal with respect to the expanded nodes (Dechter and Pearl 1985) (D&P). The exact meaning of this optimality varies depending on the class of algorithms and instances over which A* is claimed to be optimal. A* does not provide any optimality guarantees with respect to the generated nodes. However, such guarantees may be critical for optimally solving instances of domains with a large branching factor. In this paper, we introduce two new variants of the recently introduced Enhanced Partial Expansion A* algorithm (EPEA*) (Felner et al. 2012). We leverage the results of D&P to show that these variants possess optimality with respect to the generated nodes in much the same sense as A* possesses optimality with respect to the expanded nodes. The results in this paper are theoretical. A study of the practical performance of the new variants is beyond the scope of this paper.
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Blutner, Reinhard, and Henk Zeevat. "Optimality-theoretic pragmatics." ZAS Papers in Linguistics 51 (January 1, 2009): 1–25. http://dx.doi.org/10.21248/zaspil.51.2009.372.

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The article aims to give an overview about the application of Optimality Theory (OT) to the domain of pragmatics. In the introductory part we discuss different ways to view the division of labor between semantics and pragmatics. Rejecting the doctrine of literal meaning we conform to (i) semantic underdetermination and (ii) contextualism (the idea that the mechanism of pragmatic interpretation is crucial both for determining what the speaker says and what he means). Taking the assumptions (i) and (ii) as essential requisites for a natural theory of pragmatic interpretation, section 2 introduces the three main views conforming to these assumptions: Relevance theory, Levinson’s theory of presumptive meanings, and the Neo-Gricean approach. In section 3 we explain the general paradigm of OT and the idea of bidirectional optimization. We show how the idea of optimal interpretation can be used to restructure the core ideas of these three different approaches. Further, we argue that bidirectional OT has the potential to account both for the synchronic and the diachronic perspective on pragmatic interpretation. Section 4 lists relevant examples of using the framework of bidirectional optimization in the domain of pragmatics. Section 5 provides some general conclusions. Modeling both for the synchronic and the diachronic perspective on pragmatics opens the way for a deeper understanding of the idea of naturalization and (cultural) embodiment in the context of natural language interpretation.
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Radner, Daisie, and Michael Radner. "Optimality in Biology." Monist 81, no. 4 (1998): 669–86. http://dx.doi.org/10.5840/monist199881433.

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Huberman, Gur. "Optimality of Periodicity." Review of Economic Studies 55, no. 1 (January 1988): 127. http://dx.doi.org/10.2307/2297533.

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Hu, Feifang, and William F. Rosenberger. "Optimality, Variability, Power." Journal of the American Statistical Association 98, no. 463 (September 2003): 671–78. http://dx.doi.org/10.1198/016214503000000576.

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Dissertations / Theses on the topic "Optimality"

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Trommer, Jochen. "Distributed optimality." Phd thesis, [S.l. : s.n.], 2001. http://pub.ub.uni-potsdam.de/2004/0037/trommer.pdf.

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Li, Cheuk Ming. "Pareto optimality and beyond." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=72066.

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The problem of social choice is the central theme of this study. Our main objective is to prove the existence of a social welfare function in order to put to rest the doctrine of 'natural liberty.' We reject most of the recently suggested solutions to the problem on the basis that they are either incomplete or inconsistent. Our proposed social welfare function is along the utilitarian line. Ratio-scale interpersonal comparisons of cardinal utilities are used to prove its existence. If we are allowed to define utilitarianism more broadly, then our social welfare function will also be unique. Finally, the study argues strongly for more positive action on the part of the government to rectify social injustice.
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Joyce, Thomas. "Optimisation and Bayesian optimality." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/19564.

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This doctoral thesis will present the results of work into optimisation algorithms. We first give a detailed exploration of the problems involved in comparing optimisation algorithms. In particular we provide extensions and refinements to no free lunch results, exploring algorithms with arbitrary stopping conditions, optimisation under restricted metrics, parallel computing and free lunches, and head-to-head minimax behaviour. We also characterise no free lunch results in terms of order statistics. We then ask what really constitutes understanding of an optimisation algorithm. We argue that one central part of understanding an optimiser is knowing its Bayesian prior and cost function. We then pursue a general Bayesian framing of optimisation, and prove that this Bayesian perspective is applicable to all optimisers, and that even seemingly non-Bayesian optimisers can be understood in this way. Specifically we prove that arbitrary optimisation algorithms can be represented as a prior and a cost function. We examine the relationship between the Kolmogorov complexity of the optimiser and the Kolmogorov complexity of it’s corresponding prior. We also extended our results from deterministic optimisers to stochastic optimisers and forgetful optimisers, and we show that uniform randomly selecting a prior is not equivalent to uniform randomly selecting an optimisation behaviour. Lastly we consider what the best way to go about gaining a Bayesian understanding of real optimisation algorithms is. We use the developed Bayesian framework to explore the affects of some common approaches to constructing meta-heuristic optimisation algorithms, such as on-line parameter adaptation. We conclude by exploring an approach to uncovering the probabilistic beliefs of optimisers with a “shattering” method.
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Baker, Adam. "Parallel lexical optimality theory." University of Arizona Linguistics Circle, 2005. http://hdl.handle.net/10150/126626.

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Parallel Lexical Optimality Theory (PLOT) is a model I propose to account for opacity and related phenomena in Optimality Theory. PLOT recognizes three input interfaces and three output interfaces to the grammar. Interfaces are related to each other by constituency and by correspondence (McCarthy & Prince 1995). PLOT’s architecture provides sufficient power to account for opacity, but is not overly powerful, I argue. Additionally, PLOT interfaces neatly with Comparative Markedness (McCarthy 2002b) to explain the co-occurrence of derived environment effects and counterfeeding opacity. PLOT also makes more limited typological predictions than LPM-OT (Kiparsky 2003), on which PLOT is based, since PLOT recognizes only one markedness hierarchy for the grammar.
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Rodier, Dominique. "Prosodic domains in Optimality Theory." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0024/NQ50247.pdf.

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Lu, Bing. "Calibration, Optimality and Financial Mathematics." Doctoral thesis, Uppsala universitet, Matematiska institutionen, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-209235.

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This thesis consists of a summary and five papers, dealing with financial applications of optimal stopping, optimal control and volatility. In Paper I, we present a method to recover a time-independent piecewise constant volatility from a finite set of perpetual American put option prices. In Paper II, we study the optimal liquidation problem under the assumption that the asset price follows a geometric Brownian motion with unknown drift, which takes one of two given values. The optimal strategy is to liquidate the first time the asset price falls below a monotonically increasing, continuous time-dependent boundary. In Paper III, we investigate the optimal liquidation problem under the assumption that the asset price follows a jump-diffusion with unknown intensity, which takes one of two given values. The best liquidation strategy is to sell the asset the first time the jump process falls below or goes above a monotone time-dependent boundary. Paper IV treats the optimal dividend problem in a model allowing for positive jumps of the underlying firm value. The optimal dividend strategy is of barrier type, i.e. to pay out all surplus above a certain level as dividends, and then pay nothing as long as the firm value is below this level. Finally, in Paper V it is shown that a necessary and sufficient condition for the explosion of implied volatility near expiry in exponential Lévy models is the existence of jumps towards the strike price in the underlying process.
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Rodier, Dominique. "Prosodic domains in optimality theory." Thesis, McGill University, 1998. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=35933.

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Cross-linguistically, the notion 'minimal word' has proved fruitful grounds for explanatory accounts of requirements imposed on morphological and phonological constituents. Word minimality requires that a lexical word includes the main-stressed foot of the language. As a result, subminimal words are augmented to a bimoraic foot through diverse strategies like vowel lengthening, syllable addition, etc. Even languages with numerous monomoraic lexical words may impose a minimality requirement on derived words that would otherwise be smaller than a well-formed foot. In addition, the minimal word has been argued to play a central role in characterizing a prosodic base within some morpho-prosodic constituent for the application of processes such as reduplication and infixation.
The goal of this thesis is to offer an explanation as to why and in which contexts grammars may prefer a prosodic constituent which may not be reducible to a bimoraic foot. I provide explanatory accounts for a number of cases where the prosodic structure of morphological or phonological constituents cannot be defined as coextensive with the main stressed foot of the language. To this end, I propose to add to the theory of Prosodic Structure (Chen 1987; Selkirk 1984, 1986, 1989, 1995; Selkirk and Shen 1990) within an optimality-theoretic framework by providing evidence for a new level within the Prosodic Hierarchy, that of the Prosodic Stem (PrStem).
An important aspect of the model of prosodic structure proposed here is a notion of headship which follows directly from the Prosodic Hierarchy itself and from the metrical grouping of prosodic constituents. A theory of prosodic heads is developed which assumes that structural constraints can impose well-formedness requirements on the prosodic shape and the distribution of heads within morphological and phonological constituents.
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Nguyen, Van Vinh S. M. Massachusetts Institute of Technology. "Fairness and optimality in trading." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/61894.

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Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2010.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 50-51).
This thesis proposes a novel approach to address the issues of efficiency and fairness when multiple portfolios are rebalanced simultaneously. A fund manager who rebalances multiple portfolios needs to not only optimize the total efficiency, i.e., maximize net risk-adjusted return, but also guarantee that trading costs are fairly split among the clients. The existing approaches in the literature, namely the Social Welfare and the Competitive Equilibrium schemes, do not compromise efficiency and fairness effectively. To this end, we suggest an approach that utilizes popular and well-accepted resource allocation ideas from the field of communications and economics, such as Max-Min fairness, Proportional fairness and a-fairness. We incorporate in our formulation a quadratic model of market impact cost to reflect the cumulative effect of trade pooling. Total trading costs are split fairly among accounts using the so-called pro rata scheme. We solve the resulting multi-objective optimization problem by adopting the Max-Min fairness, Proportional fairness and a-fairness schemes. Under these schemes, the resulting optimization problems have non-convex objectives and non-convex constraints, which are NP-hard in general. We solve these problems using a local search method based on linearization techniques. The efficiency of this approach is discussed when we compare it with a deterministic global optimization method on small size optimization problems that have similar structure to the aforementioned problems. We present computational results for a small data set (2 funds, 73 assets) and a large set (6 funds, 73 assets). These results suggest that the solution obtained from our model provides a better compromise between efficiency and fairness than existing approaches. An important implication of our work is that given a level of fairness that we want to maintain, we can always find Pareto-efficient trade sets.
by Van Vinh Nguyen.
S.M.
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Wang, Xiaowei. "Weighted Optimality of Block Designs." Diss., Virginia Tech, 2009. http://hdl.handle.net/10919/26168.

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Design optimality for treatment comparison experiments has been intensively studied by numerous researchers, employing a variety of statistically sound criteria. Their general formulation is based on the idea that optimality functions of the treatment information matrix are invariant to treatment permutation. This implies equal interest in all treatments. In practice, however, there are many experiments where not all treatments are equally important. When selecting a design for such an experiment, it would be better to weight the information gathered on different treatments according to their relative importance and/or interest. This dissertation develops a general theory of weighted design optimality, with special attention to the block design problem. Among others, this study develops and justifies weighted versions of the popular A, E and MV optimality criteria. These are based on the weighted information matrix, also introduced here. Sufficient conditions are derived for block designs to be weighted A, E and MV-optimal for situations where treatments fall into two groups according to two distinct levels of interest, these being important special cases of the "2-weight optimality" problem. Particularly, optimal designs are developed for experiments where one of the treatments is a control. The concept of efficiency balance is also studied in this dissertation. One view of efficiency balance and its generalizations is that unequal treatment replications are chosen to reflect unequal treatment interest. It is revealed that efficiency balance is closely related to the weighted-E approach to design selection. Functions of the canonical efficiency factors may be interpreted as weighted optimality criteria for comparison of designs with the same replication numbers.
Ph. D.
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Parish, Michael S. "Optimality of aeroassisted orbital plane changes." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1995. http://handle.dtic.mil/100.2/ADA306016.

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Books on the topic "Optimality"

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Prince, Alan, and Paul Smolensky, eds. Optimality Theory. Oxford, UK: Blackwell Publishing Ltd, 2004. http://dx.doi.org/10.1002/9780470759400.

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Optimality theory. Cambridge, U.K: Cambridge University Press, 1999.

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1953-, Legendre Géraldine, Grimshaw Jane B. 1951-, Vikner Sten, Johns Hopkins University, and University of Maryland at College Park., eds. Optimality-theoretic syntax. Cambridge, Mass: MIT Press, 2001.

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Benz, Anton, and Jason Mattausch, eds. Bidirectional Optimality Theory. Amsterdam: John Benjamins Publishing Company, 2011. http://dx.doi.org/10.1075/la.180.

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Sober, Elliott, and Steven Hecht Orzack. Adaptationism and optimality. Cambridge: Cambridge University Press, 2001.

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Steuer, Max David. Culture and optimality. London: Suntory Toyota International Centre for Economics and Related Disciplines, 1989.

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Bidirectional optimality theory. Amsterdam: John Benjamins Pub. Co., 2011.

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Hecht, Orzack Steven, and Sober Elliott, eds. Adaptationism and optimality. Cambridge, UK: Cambridge University Press, 2001.

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1955-, Smolensky Paul, ed. Learnability in optimality theory. Cambridge, Mass: MIT Press, 2000.

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Kat︠s︡enelinboĭgen, Aron. Basic economics and optimality. Seaside, Calif: Intersystems Publications, 1987.

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Book chapters on the topic "Optimality"

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Pedregal, Pablo. "Optimality." In SEMA SIMAI Springer Series, 63–70. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41159-0_4.

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Tvede, Mich. "Optimality." In Overlapping Generations Economies, 23–45. London: Macmillan Education UK, 2010. http://dx.doi.org/10.1007/978-1-137-07516-1_3.

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Smirnov, Georgi. "Optimality." In Graduate Studies in Mathematics, 157–70. Providence, Rhode Island: American Mathematical Society, 2001. http://dx.doi.org/10.1090/gsm/041/07.

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Bell, Michael G. H., and Yasunori lida. "Optimality." In Transportation Network Analysis, 41–65. Chichester, UK: John Wiley & Sons, Ltd., 2014. http://dx.doi.org/10.1002/9781118903032.ch3.

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Lydall, Harold. "Optimality." In The Entrepreneurial Factor in Economic Growth, 49–57. London: Palgrave Macmillan UK, 1992. http://dx.doi.org/10.1057/9780230374461_5.

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Bhatti, M. Asghar. "Optimality Conditions." In Practical Optimization Methods, 131–226. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-0501-2_4.

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Sontag, Eduardo D. "Optimality: Multipliers." In Texts in Applied Mathematics, 397–421. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0577-7_9.

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Rapcsák, Tamás. "Optimality Conditions." In Nonconvex Optimization and Its Applications, 27–36. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4615-6357-0_3.

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Lewis, Mark E., and Martin L. Puterman. "Bias Optimality." In International Series in Operations Research & Management Science, 89–111. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/978-1-4615-0805-2_3.

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Hordijk, Arie, and Alexander A. Yushkevich. "Blackwell Optimality." In International Series in Operations Research & Management Science, 231–67. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/978-1-4615-0805-2_8.

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Conference papers on the topic "Optimality"

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Smolensky, Paul, and Bruce Tesar. "Optimality theory." In the 32nd annual meeting. Morristown, NJ, USA: Association for Computational Linguistics, 1994. http://dx.doi.org/10.3115/981732.981769.

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Lawall, Julia L., and Harry G. Mairson. "Optimality and inefficiency." In the first ACM SIGPLAN international conference. New York, New York, USA: ACM Press, 1996. http://dx.doi.org/10.1145/232627.232639.

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Tian, Chao, Jun Chen, Suhas N. Diggavi, and Shlomo Shamai. "Optimality and approximate optimality of source-channel separation in networks." In 2010 IEEE International Symposium on Information Theory - ISIT. IEEE, 2010. http://dx.doi.org/10.1109/isit.2010.5513468.

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Liu, Yan, Fuli Wang, Yuqing Chang, Ruicheng Ma, and Shumei Zhang. "Optimality related variations-based operating optimality assessment for nonlinear industrial processes." In 2016 Chinese Control and Decision Conference (CCDC). IEEE, 2016. http://dx.doi.org/10.1109/ccdc.2016.7531057.

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WANG, QINGHONG, CHING-FANG LIN, and CHRIS D'SOUZA. "Optimality-based midcourse guidance." In Guidance, Navigation and Control Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1993. http://dx.doi.org/10.2514/6.1993-3893.

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Patki, Tapasya, Jayaraman J. Thiagarajan, Alexis Ayala, and Tanzima Z. Islam. "Performance optimality or reproducibility." In SC '19: The International Conference for High Performance Computing, Networking, Storage, and Analysis. New York, NY, USA: ACM, 2019. http://dx.doi.org/10.1145/3295500.3356217.

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Baeuml, Robert, Roman Tzschoppe, Andre Kaup, and Johannes Huber. "Optimality of SCS watermarking." In Electronic Imaging 2003, edited by Edward J. Delp III and Ping W. Wong. SPIE, 2003. http://dx.doi.org/10.1117/12.477329.

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Postolica, Vasile. "Optimality in Vector Spaces." In 2018 6th International Symposium on Computational and Business Intelligence (ISCBI). IEEE, 2018. http://dx.doi.org/10.1109/iscbi.2018.00011.

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Fleischer, Mark. "Scale invariant pareto optimality." In the 2005 conference. New York, New York, USA: ACM Press, 2005. http://dx.doi.org/10.1145/1068009.1068044.

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Balabonski, Thibaut. "Optimality for dynamic patterns." In the 12th international ACM SIGPLAN symposium. New York, New York, USA: ACM Press, 2010. http://dx.doi.org/10.1145/1836089.1836119.

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Reports on the topic "Optimality"

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Freeman, Scott, and Guido Tabellini. The Optimality of Nominal Contracts. Cambridge, MA: National Bureau of Economic Research, August 1991. http://dx.doi.org/10.3386/t0110.

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Royset, J. O. Optimality Functions in Stochastic Programming. Fort Belvoir, VA: Defense Technical Information Center, December 2009. http://dx.doi.org/10.21236/ada513135.

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Royset, Johannes O., and Roger J.-B. Wets. Optimality Functions and Lopsided Convergence. Fort Belvoir, VA: Defense Technical Information Center, February 2015. http://dx.doi.org/10.21236/ada625028.

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Cothren, Richard, and Roger Waud. On the Optimality of Reserve Requirements. Cambridge, MA: National Bureau of Economic Research, April 1991. http://dx.doi.org/10.3386/t0101.

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Soatto, Stefano. Vision for Control: Optimality and Usability. Fort Belvoir, VA: Defense Technical Information Center, January 2003. http://dx.doi.org/10.21236/ada413748.

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Bebchuk, Lucian Arye, and Luigi Zingales. Corporate Ownership Structures: Private versus Social Optimality. Cambridge, MA: National Bureau of Economic Research, May 1996. http://dx.doi.org/10.3386/w5584.

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Rebelo, Sergio, and Danyang Xie. On the Optimality of Interest Rate Smoothing. Cambridge, MA: National Bureau of Economic Research, February 1997. http://dx.doi.org/10.3386/w5947.

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Gorton, Gary, and Bruce Grundy. Executive Compensation and the Optimality of Managerial Entrenchment. Cambridge, MA: National Bureau of Economic Research, September 1996. http://dx.doi.org/10.3386/w5779.

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Cronin, T. M. Maintaining Incremental Optimality When Building Shortest Euclidean Tours. Fort Belvoir, VA: Defense Technical Information Center, January 1990. http://dx.doi.org/10.21236/ada256111.

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Kariya, Takeaki, and Bimal K. Sinha. Optimality Robustness of Tests in Two Population Problems. Fort Belvoir, VA: Defense Technical Information Center, August 1985. http://dx.doi.org/10.21236/ada162265.

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