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Academic literature on the topic 'Representations'

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Published: 4 June 2021
Last updated: 7 September 2024

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Journal articles on the topic "Representations"

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Park, Sangwon. "Projective representations of quivers." International Journal of Mathematics and Mathematical Sciences 31, no. 2 (2002): 97–101. http://dx.doi.org/10.1155/s0161171202108192.

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We prove thatP1 →f P2is a projective representation of a quiverQ=•→•if and only ifP1andP2are projective leftR-modules,fis an injection, andf (P 1)⊂P 2is a summand. Then, we generalize the result so that a representationM1 →f1 M2 →f2⋯→fn−2 Mn−1→fn−1 Mnof a quiverQ=•→•→•⋯•→•→•is projective representation if and only if eachMiis a projective leftR-module and the representation is a direct sum of projective representations.
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Wu, Lianlong, Seewon Choi, Daniel Raggi, Aaron Stockdill, Grecia Garcia Garcia, Fiorenzo Colarusso, Peter C. H. Cheng, and Mateja Jamnik. "Generation of Visual Representations for Multi-Modal Mathematical Knowledge." Proceedings of the AAAI Conference on Artificial Intelligence 38, no. 21 (March 24, 2024): 23850–52. http://dx.doi.org/10.1609/aaai.v38i21.30586.

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In this paper we introduce MaRE, a tool designed to generate representations in multiple modalities for a given mathematical problem while ensuring the correctness and interpretability of the transformations between different representations. The theoretical foundation for this tool is Representational Systems Theory (RST), a mathematical framework for studying the structure and transformations of representations. In MaRE’s web front-end user interface, a set of probability equations in Bayesian Notation can be rigorously transformed into Area Diagrams, Contingency Tables, and Probability Trees with just one click, utilising a back-end engine based on RST. A table of cognitive costs, based on the cognitive Representational Interpretive Structure Theory (RIST), that a representation places on a particular profile of user is produced at the same time. MaRE is general and domain independent, applicable to other representations encoded in RST. It may enhance mathematical education and research, facilitating multi-modal knowledge representation and discovery.
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Maley, Corey J. "Icons, Magnitudes, and Their Parts." Crítica (México D. F. En línea) 55, no. 163 (May 12, 2023): 129–54. http://dx.doi.org/10.22201/iifs.18704905e.2023.1411.

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Analog representations come in different types. One distinction is between those representations that have parts that are themselves representations and those that do not (i.e., those for which the Parts Principle is true and those for which it is not). I offer a unified account of analog representation, showing what all types have in common. This account clarifies when the Parts Principle applies and when it does not, thereby illuminating why the Parts Principle is less interesting than one might have thought. Understanding analog representation instead requires understanding the kinds of magnitudes used in a particular representation, and the kinds of variation possible within a representational scheme.
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Stone, Christopher, and Larry Bull. "For Real! XCS with Continuous-Valued Inputs." Evolutionary Computation 11, no. 3 (September 2003): 299–336. http://dx.doi.org/10.1162/106365603322365315.

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Many real-world problems are not conveniently expressed using the ternary representation typically used by Learning Classifier Systems and for such problems an interval-based representation is preferable. We analyse two interval-based representations recently proposed for XCS, together with their associated operators and find evidence of considerable representational and operator bias. We propose a new interval-based representation that is more straightforward than the previous ones and analyse its bias. The representations presented and their analysis are also applicable to other Learning Classifier System architectures. We discuss limitations of the real multiplexer problem, a benchmark problem used for Learning Classifier Systems that have a continuous-valued representation, and propose a new test problem, the checkerboard problem, that matches many classes of real-world problem more closely than the real multiplexer. Representations and operators are compared using both the real multiplexer and checkerboard problems and we find that representational, operator and sampling bias all affect the performance of XCS in continuous-valued environments.
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Kölbel, Max. "Perspectival representation and fallacies in metaethics." Canadian Journal of Philosophy 48, no. 3-4 (2018): 379–404. http://dx.doi.org/10.1080/00455091.2018.1432398.

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AbstractThe prevailing theoretical framework for theorising about representation construes all representation as involving objective representational contents. This classic framework has tended to drive philosophers either to claim that evaluative judgements are representations and therefore objective, or else to claim that evaluative judgements are not really representations, because they are not objective. However, a more general, already well-explored framework is available, which will allow theorists to treat evaluative judgements as full-fledged representations (thus doing justice to their representational aspects) while leaving open whether they are objective. Such a more general conception of representational content is exemplified, e.g. by Lewis's ‘centred contents’ and Gibbard's framework of ‘contents of judgement’, thus it is not new. I shall start in §1 by introducing the more general framework of perspectival contents and then illustrate in §2 how awareness of it can help expose the fallaciousness of certain widely used forms of argumentation in metaethics.
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Crichton, Cristina. "Heidegger on Representation: the Danger Lurking in the a Priori." Tópicos, Revista de Filosofía, no. 56 (December 13, 2018): 167–96. http://dx.doi.org/10.21555/top.v0i56.1032.

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Heidegger’s stance towards representational thinking has been widely discussed and debated. In this paper I show how based on an analysis of the mathematical in modern science in Die Frage nach dem Ding, Heidegger draws up a distinction between intuitive representations and representations against experience. I argue that this last type of representations corresponds to his understanding of the way in which representational thinking takes place in modernity, that is, modern representations. Based on an analysis of these two types of representation I claim that in the mid-30s Heidegger realizes that thinking being as the a priori carries a danger, which consists in the fact that being can break its relation with that which is given in ordinary experience and become determined by pure reason alone, and that this danger is the decisive factor underlying Heidegger’s critical stance towards modern representations.
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Csaszar, Felipe A., and James Ostler. "A Contingency Theory of Representational Complexity in Organizations." Organization Science 31, no. 5 (September 2020): 1198–219. http://dx.doi.org/10.1287/orsc.2019.1346.

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A long-standing question in the organizations literature is whether firms are better off by using simple or complex representations of their task environment. We address this question by developing a formal model of how firm performance depends on the process by which firms learn and use representations. Building on ideas from cognitive science, our model conceptualizes this process in terms of how firms construct a representation of the environment and then use that representation when making decisions. Our model identifies the optimal level of representational complexity as a function of (a) the environment’s complexity and uncertainty and (b) the firm’s experience and knowledge about the environment’s deep structure. We use this model to delineate the conditions under which firms should use simple versus complex representations; in doing so, we provide a coherent framework that integrates previous conflicting results on which type of representation leaves firms better off. Among other results, we show that the optimal representational complexity generally depends more on the firm’s knowledge about the environment than it does on the environment’s actual complexity. We also show that the relative advantage of heuristics vis-à-vis more complex representations critically depends on an unstated assumption of “informedness”: that managers can know what are the most relevant variables to pay attention to. We show that when this assumption does not hold, complex representations are usually better than simpler ones.
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Hamilton, Emma, and Alistair Rolls. "Vanilla and/or Vanilla Twist: Political Representation and Equilibrium in Assault on Precinct 13." Journal of Asia-Pacific Pop Culture 8, no. 2 (November 2023): 211–30. http://dx.doi.org/10.5325/jasiapacipopcult.8.2.0211.

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Abstract This article explores the nature of political representation in John Carpenter’s 1976 film Assault on Precinct 13. Previous scholars have taken divergent views of the representation, particularly racial representation, in this film, suggesting it is variously apolitical, conservative, or liberal. This article uses the lens of a “representational equilibrium” to explore the ways in which meaning is constructed in this film and, moreover, the ways in which seemingly contradictory interpretations and meanings can be held at once. A representational equilibrium helps us to understand how representations are distinctly historical and how it is possible, when viewing representation through the lens of its historical context, to understand how a film’s message can be both repressive and liberal, or, in other words, how we can see within the film’s representations evidence of enormous historical change, but no corresponding transformation in the relationships of power that the film conveys. Such a perspective accounts for complex, contradictory, and ambiguous representations and audience identifications, which seek to categorize a film not as either one thing or another but, rather, as capable of being many things at once.
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Fortes, Fabrício Pires. "A Distinção Gráfico-Linguístico e a Notação Musical." Philosophy of Music 74, no. 4 (December 30, 2018): 1465–92. http://dx.doi.org/10.17990/rpf/2018_74_4_1465.

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This paper examines the traditional musical notation from the viewpoint of the general problem concerning the types of visual representations. More specifically, we analyze this system in relation to the distinction between graphical and linguistic representations. We start by comparing this notation with the representational systems which are most commonly associated with such categories: on the one hand, pictorial representations as an example of a graphical representation; on the other hand, verbal writing usually associated with a linguistic representation. Then, we examine the traditional musical notation in relation to different ways of drawing the distinction graphic–linguistic, and we evaluate the applicability of such criteria to the former system. Finally, we present some general remarks about the legitimacy of this distinction both with respect to representational systems in general and to the specific case of the traditional musical notation.
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Ibarra, Andoni, and Thomas Mormann. "Una teoría combinatoria de las representaciones científicas." Crítica (México D. F. En línea) 32, no. 95 (January 7, 2000): 3–46. http://dx.doi.org/10.22201/iifs.18704905e.2000.874.

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The aim of this paper is to introduce a new concept of scientific representation into philosophy of science. The new concept -to be called homological or functorial representation- is a genuine generalization of the received notion of representation as a structure preserving map as it is used, for example, in the representational theory of measurement. It may be traced back, at least implicitly, to the works of Hertz and Duhem. A modern elaboration may be found in the foundational discipline of mathematical category theory. In contrast to the familiar concepts of representations, functorial representations do not depend on any notion of similarity, neither structural nor objectual one. Rather, functorial representation establish correlations between the structures of the representing and the represented domains. Thus, they may be said to form a class of quite "non-isomorphic" representations. Nevertheless, and this is the central claim of this paper, they are the most common type of representations used in science. In our paper we give some examples from mathematics and empirical science. One of the most interesting features of the new concept is that it leads in a natural way to a combinatorial theory of scientific representations, i.e. homological or functorial representations do not live in insulation, rather, they may be combined and connected in various ways thereby forming a net of interrelated representations. One of the most important tasks of a theory of scientific representations is to describe this realm of combinatorial possibilities in detail. Some first tentative steps towards this endeavour are done in our paper.
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Dissertations / Theses on the topic "Representations"

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Thompson, Clarissa Ann. "The Representational Alignment Hypothesis of Transfer of Numerical Representations." The Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1211376719.

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Green, Benjamin. "Galois representations attached to algebraic automorphic representations." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:77f01cbc-65d1-480d-ae3a-0a039a76671a.

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This thesis is concerned with the Langlands program; namely the global Langlands correspondence, Langlands functoriality, and a conjecture of Gross. In chapter 1, we cover the most important background material needed for this thesis. This includes material on reductive groups and their root data, the definition of automorphic representations and a general overview of the Langlands program, and Gross' conjecture concerning attaching l-adic Galois representations to automorphic representations on certain reductive groups G over ℚ. In chapter 2, we show that odd-dimensional definite unitary groups satisfy the hypotheses of Gross' conjecture and verify the conjecture in this case using known constructions of automorphic l-adic Galois representations. We do this by verifying a specific case of a generalisation of Gross' conjecture; one should still get l-adic Galois representations if one removes one of his hypotheses but with the cost that their image lies in CG(ℚl) as opposed to LG(ℚl). Such Galois representations have been constructed for certain automorphic representations on G, a definite unitary group of arbitrary dimension, and there is a map CG(ℚl) → LG(ℚl) precisely when G is odd-dimensional. In chapter 3, which forms the main part of this thesis, we show that G = Un(B) where B is a rational definite quaternion algebra satisfies the hypotheses of Gross' conjecture. We prove that one can transfer a cuspidal automorphic representation π of G to a π' on Sp2n (a Jacquet-Langlands type transfer) provided it is Steinberg at some finite place. We also prove this when B is indefinite. One can then transfer π′ to an automorphic representaion of GL2n+1 using the work of Arthur. Finally, one can attach l-adic Galois representations to these automorphic representations on GL2n+1, provided we assume π is regular algebraic if B is indefinite, and show that they have orthogonal image.
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Bruland, Tore. "Building World Event Representations From Linguistic Representations." Doctoral thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for datateknikk og informasjonsvitenskap, 2013. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-23573.

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The goal of the research presented here is to build a natural language processing system for our future natural language applications. We believe that real applications will move our research in Computational Linguistics and Artificial Intelligence forward, and we prefer applications that are attractive to a large number of users. The engine in this system is the wide-coverage grammar Nor- Source, and the research topic is to build a prototype of the natural language processing system. The first part of our research topic is to build a pipeline for our grammar. We present two versions of the pipeline. The first pipeline has unmapped predicates that contain object and event references at the discourse level. Each object and event has an unique identifier in the discourse, and the pipeline performs a simple pronoun resolution. The second pipeline is a pipeline with predicates mapped to a selected domain, and the discourse contains object and event references at the world domain level. The world references are the result of an interpretation with a logic model or a selection of a previous stored situation. The domain ontology predicates are mapped from the underspecified predicates. Both pipelines have a demonstrator and the specified world pipeline’s domain is the classical Box World from Artificial Intelligence. The second part of our research topic is to fill the gap between underspecified predicates and domain specific predicates. The meaning representation produced by NorSource is Minimal Recursion Semantics (MRS), and this representation has underspecified quantifier scope and word senses. We have algorithms for solving the underspecified quantifier scope, but we don’t have algorithms for mapping underspecified predicates to domain specific predicates. The starting point is Vendler’s Aktionsart types. The types have a structure and Moen and Steedman showed that a verb argument can coerce the verb from one Aktionsart type to another. Some verbs have culminating states that are not a part of the surface structure of the sentence. Some verbs have additional structure like sub events and causal relations between sub events. Structure of a verb and coercion of Aktionsart types are outside the scope of an MRS, so we want to incorporate some of these notions into our mapping between underspecified and specified predicates. We use a domain ontology and a mapping algorithm. The ontology contains a collection of concepts with a “is-a” hierarchy, “has” relations, and “use” relation. The ontology also contains templates that use the hierarchy and the relations in order to implement constraints on a predicate and its arguments. The ontology contains complex domain objects that generate possible structures, time points, roles and states. We use the Change Location domain to demonstrate how the mapping algorithm works. We have created a natural language processing system prototype and we have filled the gap between underspecified predicates and domain specific predicates. We can transform our MRSs into expressions in First-Order Logic and reason with them. The tools from the DELPH-IN consortium creates “deep” grammars that offers the meaning representation MRS, and this means that our work can be used by other grammars and languages.
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Soto, Melissa. "The Irreducible Representations of D2n." CSUSB ScholarWorks, 2014. https://scholarworks.lib.csusb.edu/etd/12.

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Irreducible representations of a finite group over a field are important because all representations of a group are direct sums of irreducible representations. Maschke tells us that if φ is a representation of the finite group G of order n on the m-dimensional space V over the field K of complex numbers and if U is an invariant subspace of φ, then U has a complementary reducing subspace W . The objective of this thesis is to find all irreducible representations of the dihedral group D2n. The reason we will work with the dihedral group is because it is one of the first and most intuitive non-abelian group we encounter in abstract algebra. I will compute the representations and characters of D2n and my thesis will be an explanation of these computations. When n = 2k + 1 we will show that there are k + 2 irreducible representations of D2n, but when n = 2k we will see that D2n has k + 3 irreducible rep- resentations. To achieve this we will first give some background in group, ring, module, and vector space theory that is used in representation theory. We will then explain what general representation theory is. Finally we will show how we arrived at our conclusion.
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Wilhelmson, Mika. "Representations of culture in EIL : Cultural representation in Swedish EFL textbooks." Thesis, Högskolan Dalarna, Engelska, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:du-21120.

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The English language has become an international language and is globally used as a lingua franca. Therefore, there has been a shift in English-language education toward teaching English as an interna-tional language (EIL). Teaching from the EIL paradigm means that English is seen as an international language used in communication by people from different linguistic and cultural backgrounds. As the approach to English-language education changes from the traditional native-speaker, target country context, so does the role of culture within English-language teaching. The aim of this thesis is to in-vestigate and analyse cultural representations in two Swedish EFL textbooks used in upper-secondary school to see how they correspond with the EIL paradigm. This is done by focusing on the geograph-ical origin of the cultural content as well as looking at what kinds of culture are represented in the textbooks. A content analysis of the textbooks is conducted, using Kachru’s Concentric Circles of English as the model for the analysis of the geographical origin. Horibe’s model of the three different kinds of culture in EIL is the model used for coding the second part of the analysis. The results of the analysis show that culture of target countries and "Culture as social custom" dominate the cultural content of the textbook. Thus, although there are some indications that the EIL paradigm has influ-enced the textbooks, the traditional approach to culture in language teaching still prevails in the ana-lysed textbooks. Because of the relatively small sample included in the thesis, further studies need to be conducted in order to make conclusions regarding the Swedish context as a whole.
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Mehta, Nishant A. "On sparse representations and new meta-learning paradigms for representation learning." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/52159.

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Given the "right" representation, learning is easy. This thesis studies representation learning and meta-learning, with a special focus on sparse representations. Meta-learning is fundamental to machine learning, and it translates to learning to learn itself. The presentation unfolds in two parts. In the first part, we establish learning theoretic results for learning sparse representations. The second part introduces new multi-task and meta-learning paradigms for representation learning. On the sparse representations front, our main pursuits are generalization error bounds to support a supervised dictionary learning model for Lasso-style sparse coding. Such predictive sparse coding algorithms have been applied with much success in the literature; even more common have been applications of unsupervised sparse coding followed by supervised linear hypothesis learning. We present two generalization error bounds for predictive sparse coding, handling the overcomplete setting (more original dimensions than learned features) and the infinite-dimensional setting. Our analysis led to a fundamental stability result for the Lasso that shows the stability of the solution vector to design matrix perturbations. We also introduce and analyze new multi-task models for (unsupervised) sparse coding and predictive sparse coding, allowing for one dictionary per task but with sharing between the tasks' dictionaries. The second part introduces new meta-learning paradigms to realize unprecedented types of learning guarantees for meta-learning. Specifically sought are guarantees on a meta-learner's performance on new tasks encountered in an environment of tasks. Nearly all previous work produced bounds on the expected risk, whereas we produce tail bounds on the risk, thereby providing performance guarantees on the risk for a single new task drawn from the environment. The new paradigms include minimax multi-task learning (minimax MTL) and sample variance penalized meta-learning (SVP-ML). Regarding minimax MTL, we provide a high probability learning guarantee on its performance on individual tasks encountered in the future, the first of its kind. We also present two continua of meta-learning formulations, each interpolating between classical multi-task learning and minimax multi-task learning. The idea of SVP-ML is to minimize the task average of the training tasks' empirical risks plus a penalty on their sample variance. Controlling this sample variance can potentially yield a faster rate of decrease for upper bounds on the expected risk of new tasks, while also yielding high probability guarantees on the meta-learner's average performance over a draw of new test tasks. An algorithm is presented for SVP-ML with feature selection representations, as well as a quite natural convex relaxation of the SVP-ML objective.
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Wachelke, Joao. "Structural relations among social representations: cognem association within a representational system." Doctoral thesis, Università degli studi di Padova, 2010. http://hdl.handle.net/11577/3427383.

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Theory and research results about the structure of social representations have been built usually from the study of isolated representations. The studies aiming at identifying structural relations involving two or more representations are more recent. In the literature, different terms have been employed to refer to inter-related social representation sets, managed or not by a superior ideological stance; in those cases, we refer to representation families, systems or networks. In this context, there are coordination relations, in which associations can be identified at the same level of a social thinking architecture. Traditionally, the studies of representations in conjunction – presenting element intersections at the level of their cores or object labels – have been privileged. The present research aims at contributing to the knowledge about disjoint representations. When, at an inter-representation level, there are two or more representation structures linked by relations between cognems or between object-label words, we propose the name of representational system to the macrostructure that is formed, with relations formalized by the basic cognitive schemes model. The main research aim was to identify relations among elements of different social representations, submitting to test the existence of connection points among representations at the same level of the social thinking architecture. It is a model that conceives inter-representation relations at the level of cognems. All the studies concerned the investigation of a representational system including the social representation on aging. Most of the studies were conducted with university undergraduate samples from Padua, Italy – and Studies 1-A and 1-B also had a Brazilian sample of undergraduates and an Italian sample of elderly people. The first studies had the purpose of characterizing the representation system. After a preliminary qualitative study conducted with interviews with people from different age groups, which has allowed to identify the cognems of the social representation on aging, Studies 1-A and 1-B were comparative investigations that characterized the structural status of the elements of that representation and also structural differences linked to age groups and cultural context. Study 2 was a survey marked by paired evaluations of proximity between objects linked to the aging theme which allowed the identification of three social representations highly connected to aging, by means prototypical and similarity analyses: death, health and family. Study 3 had a mixed nature, with characteristics of both a quasi-experiment and a survey. It provided the characterization of the structures of the chosen social representations in the system and also assessed the intensity of relations between social objects in that system. Additionally, participants evaluated pairs of elements of the representation on aging and the other representations and indicated if they perceived a connection or not, enabling the identification of possible connection points. After the identification of those possible relationships, the focus shifted to testing the plausibility of a model for connection points including a bridge relation between those elements. Study 4 consisted of context manipulations of emphasis or relativization of a peripheral element of the social representation on health that was connected to elements from the social representation on aging. It was observed that a context change relative to a peripheral element of a representation interferes on the activation of schemes relative to a second representation, regardless of their structural status; it is a first empirical evidence of the validity of a theoretical conception of coordination relations involving disjoint representations of a same system by means of connection points. Finally, Studies 5-A and 5-B aimed at verifying if denying or confirming the information of cognems from connection points would be associated with activation differences of semantic and evaluative relations (bridge relations) with elements connected to them, from the representation on aging. Differences were identified in the sense that compatibility with the content of the manipulated cognem was associated with higher valences of at least one of the hyperconnectors. As a conclusion, evidence was found of relations among social representations at the level of their elements, and the conception of a theoretical model of inter-representation connection points presented promising results. The model contributes to the understanding of mechanisms of association of social representations in disjunction and also opens possibilities for application especially concerning social representation dynamics, which might also take representation systems into account.
Le teorie e i risultati di ricerca sulla struttura delle rappresentazioni sociali sono stati costruiti, in generale, a partire dallo studio di rappresentazioni isolate. Gli studi volti a identificare le relazioni strutturali che coinvolgono due o più rappresentazioni sono più recenti. In letteratura, termini diversi sono stati impiegati per riferirsi a insiemi interconnessi di rappresentazioni sociali, gestiti o non da un’istanza ideologica superiore; in questi casi, ci riferiamo a famiglie, sistemi o reti di rappresentazioni. In questo contesto, vi sono relazioni di coordinamento, in cui le associazioni possono essere identificate allo stesso livello dell’architettura del pensiero sociale. Tradizionalmente, sono stati privilegiati gli studi di rappresentazioni in congiunzione, che presentano intersezioni di elementi al livello dei loro nuclei o etichette di oggetto. La presente ricerca si propone di contribuire alla conoscenza di rappresentazioni disgiunte. Quando, a livello inter-rappresentazione, ci sono due o più strutture legate da relazioni tra cognemi o tra etichette di oggetti, proponiamo il nome di sistema rappresentazionale per la macrostruttura che ne risulta, con relazioni formalizzate dal modello di schemi cognitivi di base. L'obiettivo principale della ricerca è consistito nell’identificazione di relazioni tra elementi di rappresentazioni sociali diverse, sottoponendo a prova l'esistenza di punti di connessione tra rappresentazioni allo stesso livello dell’architettura del pensiero sociale. Si tratta di un modello che concepisce le relazioni interrappresentazione al livello dei cognemi. Tutti i cinque studi condotti hanno coinvolto un sistema di rappresentazioni, tenendo la rappresentazione sociale dell’invecchiamento come punto di riferimento. La maggior parte degli studi è stata svolta con campioni di convenienza di studenti universitari di Padova, Italia. Gli Studi 1-A e 1-B hanno avuto anche un campione brasiliano di studenti e un campione italiano di anziani. I primi studi avevano lo scopo di caratterizzare il sistema rappresentazionale. Dopo un’indagine preliminare qualitativa condotta con interviste a persone di diverse fasce di età, la quale ha permesso di identificare i cognemi della rappresentazione sociale sull’invecchiamento, gli Studi 1-A e 1-B sono stati realizzati tramite ricerche comparative che hanno caratterizzato lo statuto strutturale degli elementi di quella rappresentazione e anche delle differenze strutturali legate a gruppi di età e contesti culturali diversi. Lo Studio 2 è consistito in una ricerca caratterizzata da valutazioni appaiate di prossimità tra oggetti legati al tema dell'invecchiamento, la quale ha permesso l'identificazione di tre rappresentazioni sociali altamente connesse all'invecchiamento attraverso analisi prototipiche e di similitudine: morte, salute e famiglia. Lo Studio 3 ha avuto un carattere misto, con caratteristiche sia di quasi-esperimento sia di survey. Ha fornito la caratterizzazione delle strutture delle rappresentazioni sociali scelte dal sistema ed anche permesso di valutare l'intensità delle relazioni tra oggetti sociali in quel sistema. Inoltre, i partecipanti hanno valutato le coppie di elementi della rappresentazione sull’invecchiamento e sugli altri tre oggetti e hanno indicato se percepivano una relazione o meno tra di loro, permettendo l’individuazione di possibili punti di connessione. Dopo l'individuazione delle relazioni possibili, l'attenzione è stata rivolta a verificare la plausibilità di un modello di punti di connessione tra elementi con una relazione ponte. Lo Studio 4 è consistito nella manipolazione di un elemento periferico della rappresentazione sociale della salute (tramite sua enfasi o relativizzazione), collegata ad elementi della rappresentazione sociale dell’ invecchiamento. E' stato osservato che un cambiamento di contesto rispetto ad un elemento periferico di una rappresentazione interferisce sull’attivazione di schemi relativi ad una seconda rappresentazione del sistema, indipendentemente dal suo statuto strutturale. Si tratta di una prima evidenza empirica della validità di una concezione teorica che sottolinea le relazioni di coordinamento fra rappresentazioni disgiunte in uno stesso sistema per mezzo di punti di connessione. Infine, gli Studi 5-A e 5-B avevano lo scopo di verificare se il negare o confermare le informazioni di cognemi in punti di connessione fosse associato a differenze di attivazione di relazioni semantiche e valutative (relazioni ponte) con elementi ad essi connessi, della rappresentazione dell’invecchiamento. Sono state individuate delle differenze, nel senso che una compatibilità con il contenuto del cognema manipolato è stata associata con valenze più alte di almeno uno degli iperconnettori. In conclusione, si sono trovate evidenze empiriche riguardo relazioni tra rappresentazioni sociali a livello dei loro elementi, e ha trovato sostegno, con risultati promettenti, la concezione di un modello teorico di punti di connessione tra rappresentazioni. Il modello conntribuisce alla comprensione dei meccanismi di associazione di rappresentazioni sociali in disgiunzione e apre anche la possibilità di applicazioni soprattutto per quanto riguarda le dinamiche delle rappresentazioni sociali, attraverso interventi mirati sui sistemi di rappresentazione presi in esame.
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Muir, James. "Efficient Integer Representations for Cryptographic Operations." Thesis, University of Waterloo, 2004. http://hdl.handle.net/10012/1099.

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Every positive integer has a unique radix 2 representation which uses the digits {0,1}. However, if we allow digits other than 0 and 1, say {0,1,-1}, then a positive integer has many representations. Of these redundant representations, it is possible to choose one that has few nonzero digits. It is well known that using representations of integers with few nonzero digits allows certain algebraic operations to be done more quickly. This thesis is concerned with various representations of integers that are related to efficient implementations of algebraic operations in cryptographic algorithms. The topics covered here include:
  • The width-w nonadjacent form (w-NAF). We prove that the w-NAF of an integer has a minimal number of nonzero digits; that is, no other representation of an integer, which uses the w-NAF digits, can have fewer nonzero digits than its w-NAF.
  • A left-to-right analogue of the w-NAF. We introduce a new family of radix 2 representations which use the same digits as the w-NAF, but have the property that they can be computed by sliding a window from left to right across the binary representation of an integer. We show these new representations have a minimal number of nonzero digits.
  • Joint representations. Solinas introduced a {0,1,-1}-radix 2 representation for pairs of integers called the joint sparse form. We consider generalizations of the joint sparse form which represent r≥2 integers and use digits other than {0,1,-1}. We show how to construct a {0,1,2,3}-joint representation that has a minimal number of nonzero columns.
  • Nonadjacent digit sets. It is well known that if x equals 3 or -1 then every nonnegative integer has a unique {0,1,x}-nonadjacent form; that is, a {0,1,x}-radix 2 representation with the property that, of any two consecutive digits, at most one is nonzero. We investigate what other values of x have this property.
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Dobbins, Michael Gene. "Representations of Polytopes." Diss., Temple University Libraries, 2011. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/141523.

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Mathematics
Ph.D.
Here we investigate a variety of ways to represent polytopes and related objects. We define a class of posets, which includes all abstract polytopes, giving a unique representative among posets having a particular labeled flag graph and characterize the labeled flag graphs of abstract polytopes. We show that determining the realizability of an abstract polytope is equivalent to solving a low rank matrix completion problem. For any given polytope, we provide a new construction for the known result that there is a combinatorial polytope with a specified ridge that is always projectively equivalent to the given polytope, and we show how this makes a naturally arising subclass of intractable problems tractable. We give necessary and sufficient conditions for realizing a polytope's interval poset, which is the polytopal analog of a poset's Hasse diagram. We then provide a counter example to the general realizablity of a polytope's interval poset.
Temple University--Theses
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CAHEN, BENJAMIN ARNAL DIDIER. "STAR REPRESENTATIONS INDUITES /." [S.l.] : [s.n.], 1992. ftp://ftp.scd.univ-metz.fr/pub/Theses/1992/Cahen.Benjamin.SMZ9225.pdf.

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Books on the topic "Representations"

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Stuart, Hall, and Open University, eds. Representation: Cultural representations and signifying practices. London: Sage in association with the Open University, 1997.

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Obhi, Sukhvinder S., and Emily S. Cross, eds. Shared Representations. Cambridge: Cambridge University Press, 2016. http://dx.doi.org/10.1017/cbo9781107279353.

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Mayseless, Ofra, ed. Parenting Representations. Cambridge: Cambridge University Press, 2006. http://dx.doi.org/10.1017/cbo9780511499869.

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Schiffler, Ralf. Quiver Representations. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09204-1.

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Dinsmore, John. Partitioned Representations. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3574-0.

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Siddiqi, Kaleem, and Stephen M. Pizer, eds. Medial Representations. Dordrecht: Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-8658-8.

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Davis, Ernest. Lucid representations. New York: Courant Institute of Mathematical Sciences, New York University, 1991.

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Radovic, Susanna. Introspecting representations. Göteborg, Sweden: Acta Universitatis Gothoburgensis, 2005.

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Davis, Ernest. Lucid representations. New York: Courant Institute of Mathematical Sciences, New York University, 1991.

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Krämer, Martin. Underlying representations. Cambridge: Cambridge University Press, 2012.

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Book chapters on the topic "Representations"

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tom Dieck, Tammo. "Representation Forms and Homotopy Representations." In Surgery Theory and Geometry of Representations, 1–79. Basel: Birkhäuser Basel, 1988. http://dx.doi.org/10.1007/978-3-0348-9167-7_1.

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Givant, Steven. "Representations." In Advanced Topics in Relation Algebras, 157–200. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65945-9_3.

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Weihrauch, Klaus. "Representations." In Computability, 367–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-69965-8_26.

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Williams, Brian. "Representations." In Biostatistics, 25–38. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-6906-4_3.

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Beliakov, Gleb, Simon James, and Jian-Zhang Wu. "Representations." In Discrete Fuzzy Measures, 75–87. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15305-2_4.

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Samelson, Hans. "Representations." In Universitext, 89–145. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4613-9014-5_3.

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Deitmar, Anton, and Siegfried Echterhoff. "Representations." In Principles of Harmonic Analysis, 123–31. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05792-7_6.

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Gonzalez-Perez, Cesar. "Representations." In Information Modelling for Archaeology and Anthropology, 285–89. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72652-6_27.

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Schmüdgen, Konrad. "$$*$$-Representations." In Graduate Texts in Mathematics, 59–92. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-46366-3_4.

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Ceulemans, Arnout Jozef. "Representations." In Theoretical Chemistry and Computational Modelling, 51–102. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-6863-5_4.

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Conference papers on the topic "Representations"

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Li, Jianping. "Learning Hybrid Extraction and Distillation using Phenomena-based String Representation." In Foundations of Computer-Aided Process Design, 300–307. Hamilton, Canada: PSE Press, 2024. http://dx.doi.org/10.69997/sct.171879.

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We present a string representation for hybrid extraction and distillation using symbols representing phenomena building blocks. Unlike the conventional equipment-based string representation, the proposed representation captures the design details of liquid-liquid extraction and distillation. We generate a set of samples through the procedure of input parameter sampling and superstructure optimization that minimizes separation cost. We convert these generated samples into a set of string representations based on pre-defined rules. We use these string representations as descriptors and connect them with conditional variational encoder. The trained conditional variational encoder shows good prediction accuracy. We further use the trained conditional variational encoder to screen designs of hybrid extraction and distillation with desired cost investment.
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Chandrasekhar, B. M., V. S. Babu, and S. S. Medasani. "Traffic sign representation using sparse-representations." In 2013 International Conference on Intelligent Systems and Signal Processing (ISSP). IEEE, 2013. http://dx.doi.org/10.1109/issp.2013.6526937.

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Caetano, Carlos, Jefersson Alex Dos Santos, and William Robson Schwartz. "Motion-Based Representations For Activity Recognition." In Conference on Graphics, Patterns and Images. Sociedade Brasileira de Computação, 2020. http://dx.doi.org/10.5753/sibgrapi.est.2020.12988.

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This work addresses the activity recognition problem. We propose two different representations based on motion information for activity recognition. The first representation is a novel temporal stream for two-stream Convolutional Neural Networks (CNNs) that receives as input images computed from the optical flow magnitude and orientation to learn the motion in a better and richer manner. The method applies simple non-linear transformations on the vertical and horizontal components of the optical flow to generate input images for the temporal stream. The second representation is a novel skeleton image representation to be used as input of CNNs. The approach encodes the temporal dynamics by explicitly computing the magnitude and orientation values of the skeleton joints. Experiments carried out on challenging well-known activity recognition datasets (UCF101, NTU RGB+D 60 and NTU RGB+D 120) demonstrate that the proposed representations achieve results in the state of the art, indicating the suitability of our approaches as video representations.
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Le, Lei, Raksha Kumaraswamy, and Martha White. "Learning Sparse Representations in Reinforcement Learning with Sparse Coding." 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.2017/287.

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A variety of representation learning approaches have been investigated for reinforcement learning; much less attention, however, has been given to investigating the utility of sparse coding. Outside of reinforcement learning, sparse coding representations have been widely used, with non-convex objectives that result in discriminative representations. In this work, we develop a supervised sparse coding objective for policy evaluation. Despite the non-convexity of this objective, we prove that all local minima are global minima, making the approach amenable to simple optimization strategies. We empirically show that it is key to use a supervised objective, rather than the more straightforward unsupervised sparse coding approach. We then compare the learned representations to a canonical fixed sparse representation, called tile-coding, demonstrating that the sparse coding representation outperforms a wide variety of tile-coding representations.
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Bai, Yang, Min Cao, Daming Gao, Ziqiang Cao, Chen Chen, Zhenfeng Fan, Liqiang Nie, and Min Zhang. "RaSa: Relation and Sensitivity Aware Representation Learning for Text-based Person Search." In Thirty-Second International Joint Conference on Artificial Intelligence {IJCAI-23}. California: International Joint Conferences on Artificial Intelligence Organization, 2023. http://dx.doi.org/10.24963/ijcai.2023/62.

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Text-based person search aims to retrieve the specified person images given a textual description. The key to tackling such a challenging task is to learn powerful multi-modal representations. Towards this, we propose a Relation and Sensitivity aware representation learning method (RaSa), including two novel tasks: Relation-Aware learning (RA) and Sensitivity-Aware learning (SA). For one thing, existing methods cluster representations of all positive pairs without distinction and overlook the noise problem caused by the weak positive pairs where the text and the paired image have noise correspondences, thus leading to overfitting learning. RA offsets the overfitting risk by introducing a novel positive relation detection task (i.e., learning to distinguish strong and weak positive pairs). For another thing, learning invariant representation under data augmentation (i.e., being insensitive to some transformations) is a general practice for improving representation's robustness in existing methods. Beyond that, we encourage the representation to perceive the sensitive transformation by SA (i.e., learning to detect the replaced words), thus promoting the representation's robustness. Experiments demonstrate that RaSa outperforms existing state-of-the-art methods by 6.94%, 4.45% and 15.35% in terms of Rank@1 on CUHK-PEDES, ICFG-PEDES and RSTPReid datasets, respectively. Code is available at: https://github.com/Flame-Chasers/RaSa.
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Xie, Ruobing, Zhiyuan Liu, Huanbo Luan, and Maosong Sun. "Image-embodied Knowledge Representation Learning." 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.2017/438.

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Entity images could provide significant visual information for knowledge representation learning. Most conventional methods learn knowledge representations merely from structured triples, ignoring rich visual information extracted from entity images. In this paper, we propose a novel Image-embodied Knowledge Representation Learning model (IKRL), where knowledge representations are learned with both triple facts and images. More specifically, we first construct representations for all images of an entity with a neural image encoder. These image representations are then integrated into an aggregated image-based representation via an attention-based method. We evaluate our IKRL models on knowledge graph completion and triple classification. Experimental results demonstrate that our models outperform all baselines on both tasks, which indicates the significance of visual information for knowledge representations and the capability of our models in learning knowledge representations with images.
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Wang, Junqian, and Yirui Liu. "Multiple Representations and Sparse Representation for Color Image Classification." In the 2018 International Conference. New York, New York, USA: ACM Press, 2018. http://dx.doi.org/10.1145/3232829.3232847.

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Li, Shidong. "Image representation and compression via adaptive multi-Gabor representations." In SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, edited by Mark S. Schmalz. SPIE, 1998. http://dx.doi.org/10.1117/12.330374.

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Zhang, Jingsheng, and Shana Smith. "Shape Similarity Matching With Octree Representations." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99397.

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Shape matching is one of the fundamental problems in content-based 3D shape retrieval. Since there are typically a large number of possible matches in a shape database, there is a crucial need to perform shape matching efficiently. As a result, shapes must be reduced into a simpler shape representation, and computational complexity is one of the most important criteria for evaluating 3D shape representations. To meet the need, the investigators have implemented a new effective and efficient approach for 3D shape matching, which uses a simplified octree representation of 3D mesh models. The simplified octree representation was developed to improve time and space efficiency over prior representations. In addition, octree representations are rapidly becoming the standard file format for delivering 3D content across the Internet. The proposed approach stores octree information in XML files, rather than using a new data file type, to facilitate comparing models over the Internet. New methods for normalizing models, generating octrees, and comparing models were developed. The proposed approach allows users to efficiently exchange shape information and compare models over the Internet, in standardized data and data file formats, without transferring exact model files. The proposed approach is the first step in a project which will build a complete 3D model database and data retrieval system, which can be incorporated with other data mining techniques.
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Wrolstad, Keith H. "AVO representations." In SEG Technical Program Expanded Abstracts 1988. Society of Exploration Geophysicists, 1988. http://dx.doi.org/10.1190/1.1892541.

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Reports on the topic "Representations"

1

Alterman, Richard. Coordinating Representations. Fort Belvoir, VA: Defense Technical Information Center, April 2006. http://dx.doi.org/10.21236/ada445485.

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Tversky, Barbara G. Induced Pictorial Representations. Fort Belvoir, VA: Defense Technical Information Center, February 1992. http://dx.doi.org/10.21236/ada248560.

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Wells, Martin, and Ping Li. Compact Information Representations. Fort Belvoir, VA: Defense Technical Information Center, August 2016. http://dx.doi.org/10.21236/ad1013975.

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Tversky, Barbara. Induced Pictorial Representations. Fort Belvoir, VA: Defense Technical Information Center, December 1989. http://dx.doi.org/10.21236/ada216472.

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Bar-Yam, Yaneer. Multiscale Representations Phase II. Fort Belvoir, VA: Defense Technical Information Center, March 2004. http://dx.doi.org/10.21236/ada423165.

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Raviv, Daniel. Representations in visual motion. Gaithersburg, MD: National Institute of Standards and Technology, 1992. http://dx.doi.org/10.6028/nist.ir.4747.

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Doerry, Armin W. SAR Image Complex Pixel Representations. Office of Scientific and Technical Information (OSTI), March 2015. http://dx.doi.org/10.2172/1177594.

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Neilsen, M. K. Continuum representations of cellular solids. Office of Scientific and Technical Information (OSTI), September 1993. http://dx.doi.org/10.2172/10190111.

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Madych, Wolodymyr, and K. Grochenig. Multivariate Wavelet Representations and Approximations. Fort Belvoir, VA: Defense Technical Information Center, October 1994. http://dx.doi.org/10.21236/ada290147.

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Biederman, Irving, and Gordon E. Legge. Psychophysical Analyses of Perceptual Representations. Fort Belvoir, VA: Defense Technical Information Center, August 1992. http://dx.doi.org/10.21236/ada255432.

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