Relevant bibliographies by topics / Representations up to homotopy

Academic literature on the topic 'Representations up to homotopy'

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Published: 21 July 2023

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Journal articles on the topic "Representations up to homotopy"

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Trentinaglia, Giorgio, and Chenchang Zhu. "Some remarks on representations up to homotopy." International Journal of Geometric Methods in Modern Physics 13, no. 03 (March 2016): 1650024. http://dx.doi.org/10.1142/s0219887816500249.

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Motivated by the study of the interrelation between functorial and algebraic quantum field theory (AQFT), we point out that on any locally trivial bundle of compact groups, representations up to homotopy are enough to separate points by means of the associated representations in cohomology. Furthermore, we observe that the derived representation category of any compact group is equivalent to the category of ordinary (finite-dimensional) representations of the group.
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Porter, Tim, and Jim Stasheff. "Homotopy Coherent Representations." Symmetry 14, no. 3 (March 9, 2022): 553. http://dx.doi.org/10.3390/sym14030553.

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Homotopy coherence has a considerable history, albeit also by other names. For this volume highlighting symmetries, the appropriate use is homotopy coherence of representations, at one time known as representations up to homotopy/homotopy coherent representations. We present a brief semi-historical survey, providing some links that may not be common knowledge.
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Sheng, Yunhe, and Chenchang Zhu. "Semidirect products of representations up to homotopy." Pacific Journal of Mathematics 249, no. 1 (January 3, 2011): 211–36. http://dx.doi.org/10.2140/pjm.2011.249.211.

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Merati, S., and M. R. Farhangdoost. "Representation up to homotopy of hom-Lie algebroids." International Journal of Geometric Methods in Modern Physics 15, no. 05 (April 2, 2018): 1850074. http://dx.doi.org/10.1142/s0219887818500743.

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A hom-Lie algebroid is a vector bundle together with a Lie algebroid like structure which is twisted by a homomorphism. In this paper, we use the idea of representations up to homotopy of Lie algebroids to construct a same structure for hom-Lie algebroids and we will explain how representations up to homotopy of length 1 are related to extensions of hom-Lie algebroids.
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VITAGLIANO, LUCA. "Representations of Homotopy Lie–Rinehart Algebras." Mathematical Proceedings of the Cambridge Philosophical Society 158, no. 1 (December 4, 2014): 155–91. http://dx.doi.org/10.1017/s0305004114000541.

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AbstractI propose a definition of left/right connection along a strong homotopy Lie–Rinehart algebra. This allows me to generalise simultaneously representations up to homotopy of Lie algebroids and actions ofL∞algebras on graded manifolds. I also discuss the Schouten-Nijenhuis calculus associated to strong homotopy Lie–Rinehart connections.
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Gracia-Saz, A., M. Jotz Lean, K. C. H. Mackenzie, and R. A. Mehta. "Double Lie algebroids and representations up to homotopy." Journal of Homotopy and Related Structures 13, no. 2 (July 7, 2017): 287–319. http://dx.doi.org/10.1007/s40062-017-0183-1.

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Mehta, Rajan Amit. "Lie algebroid modules and representations up to homotopy." Indagationes Mathematicae 25, no. 5 (October 2014): 1122–34. http://dx.doi.org/10.1016/j.indag.2014.07.013.

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Jotz, M. "Obstructions to representations up to homotopy and ideals." Asian Journal of Mathematics 26, no. 2 (2022): 137–66. http://dx.doi.org/10.4310/ajm.2022.v26.n2.a1.

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Drummond, T., M. Jotz Lean, and C. Ortiz. "VB-algebroid morphisms and representations up to homotopy." Differential Geometry and its Applications 40 (June 2015): 332–57. http://dx.doi.org/10.1016/j.difgeo.2015.03.005.

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Arias Abad, Camilo, and Florian Schätz. "Deformations of Lie brackets and representations up to homotopy." Indagationes Mathematicae 22, no. 1-2 (October 2011): 27–54. http://dx.doi.org/10.1016/j.indag.2011.07.003.

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Dissertations / Theses on the topic "Representations up to homotopy"

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Stefani, Davide. "Representations up to homotopy and perfect complexes over differentiable stacks." Electronic Thesis or Diss., Sorbonne université, 2019. http://www.theses.fr/2019SORUS687.

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Cette thèse concerne l’étude de la géométrie des champs dans le contexte de la géométrie différentiable, utilisant les outils de la théorie de l’homotopie et des catégories supérieures. Ces techniques deviennent nécessaires pour traiter des généralisation aux champs d’objets géométriques fondamentales, tels que les fibrés tangent et cotangent, les formes sur un champs, leurs automorphismes et plus en général les complexes parfaits, qui sont un des objets principaux dans ce travail. Dans la première partie de cette thèse nous faisons une récapitulation des champs différentiables supérieurs, leur homotopie et cohomologie. Dans la deuxième partie nous étudions les représentations à homotopie près des groupoïdes de Lie et nous les relions avec une théorie des complexes parfaits sur les champs différentiables. Parmi nos résultat, nous montrons que une représentation à homotopie près d’un groupoïde de Lie est exactement un module cohésive sur la dg-algèbre des fonctions lisses et que les dg-catégories correspondants sont Morita invariantes. Ça nous permets de donner une définition de dg-catégorie des complexes parfaits sur un champ différentiable. De plus nous construisons un 2-groupoide de Lie des automorphismes des complexes des fibrés vectoriels de longueur 2, qui est un analogue supérieur du champs classifiant BGL_n. Nous concluons avec une définition du 2-champs différentiable des complexes parfaits de amplitude [0,1] par le biais d’une présentation par un 2-groupoide de Lie
This thesis is concerned with the geometry of stacks in the differential geometry context using homotopical and higher categorical techniques. These techniques becomes necessary to deal with simple stack generalizations of crucial objects such as tangent and cotangent bundles, forms on a stack, their automorphisms and more generally perfect complexes, which are one of the main object of study of this work. In the first part of this thesis we give an overview of higher and differentiable stacks, their homotopy theory and cohomology theories. In the second part we study one representation up to homotopy of Lie groupoids and rely them with a theory of perfect complex over differentiable stacks. Among our results, we show that a representation up to homotopy on a Lie groupoid is the same as a cohesive module on its dg-algebra of smooth functions and that the correspondent dg-categories are Morita invariant. This allows us to give a definition of dg-category of perfect complexes on a differentiable stack. We moreover construct a Lie 2-groupoid of automorphisms of 2-terms complexes of vector bundles, which is a higher analogue of the classifying stack BGL_n. We conclude by giving a definition of the differentiable 2-stack of perfect complexes of amplitude [0,1] by means of a Lie 2-groupoid presenting it
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Dunn, Benjamin Mark. "Which way is up? : grounded mental representations of space." Thesis, University of Glasgow, 2016. http://theses.gla.ac.uk/7460/.

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Processing language is postulated to involve a mental simulation, or re-enactment of perceptual, motor, and introspective states that were acquired experientially (Barsalou, 1999, 2008). One such aspect that is mentally simulated during processing of certain concepts is spatial location. For example, upon processing the word “moon” the prominent spatial location of the concept (e.g. ‘upward’) is mentally simulated. In six eye-tracking experiments, we investigate how mental simulations of spatial location affect processing. We first address a conflict in previous literature whereby processing is shown to be impacted in both a facilitatory and inhibitory way. Two of our experiments showed that mental simulations of spatial association facilitate saccades launched toward compatible locations; however, a third experiment showed an inhibitory effect on saccades launched towards incompatible locations. We investigated these differences with further experiments, which led us to conclude that the nature of the effect (facilitatory or inhibitory) is dependent on the demands of the task and, in fitting with the theory of Grounded Cognition (Barsalou, 2008), that mental simulations impact processing in a dynamic way. Three further experiments explored the nature of verticality – specifically, whether ‘up’ is perceived as away from gravity, or above our head. Using similar eye-tracking methods, and by manipulating the position of participants, we were able to dissociate these two possible standpoints. The results showed that mental simulations of spatial location facilitated saccades to compatible locations, but only when verticality was dissociated from gravity (i.e. ‘up’ was above the participant’s head). We conclude that this is not due to an ‘embodied’ mental simulation, but rather a result of heavily ingrained visuo-motor association between vertical space and eye movements.
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Teckman, Julie. "Bringing up baby : representations of lone motherhood in modern popular culture." Thesis, University of Leicester, 2004. http://hdl.handle.net/2381/27838.

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This thesis explores media representations of single mothers, and considers how one segment of the audience interprets the messages and ideologies embedded within texts, in relation to their own experiences and perceptions. It combines textual analysis of selected texts from popular television and film with empirical data collected during seminars conducted with groups of teenage, female college students and young single mothers. The texts studied were chosen from television soap opera and situation comedy (both of which deal mainly with family relationships and family situations) and popular, modem Hollywood films; three areas I considered to be central in helping me to gain an understanding of how the media construct meanings and messages for audiences in a form and style designed for repetition and unambiguity, to create easy understanding for audiences, even when they are actually complex and contradictory. The research groups were made up of young women aged between 16 and 20, from a variety of social and ethnic backgrounds. The fieldwork was conducted over a period of several weeks over the five year research period, and used with the case-study texts from contemporary popular culture. The data collected suggests that, beneath the increasingly diverse representations of single mothers in popular culture, media texts tend to define and represent single mothers generally as incomplete, lacking and/or deviant in comparison to ‘normal’ motherhood. However, the young audience members with whom I worked, used the parameters of their own experience and knowledge to simultaneously engage with and distance themselves from the seemingly entrenched ideologies embedded within the texts. As a result it seems that despite the essentially negative representations that continue to dominate media stereotypes of single mothers, young female viewers remain generally aware of and distanced from the messages being transmitted.
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Ko, Yuni Jeongyun. "Catching up with "New Asia" and its diasporas transnational representations and imaginations /." Diss., Online access via UMI:, 2007.

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Tauchen, Katrina D. Hinnant Amanda. "Growing up consumer representations of adult culture in contemporary American children's magazines /." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/6664.

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Title from PDF of title page (University of Missouri--Columbia, viewed on March 10, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Thesis advisor: Dr. Amanda Hinnant. Includes bibliographical references.
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Green, Anna. "Growing up with 'modernité' : representations of childhood and adolescence in French painting, 1848-1886." Thesis, Open University, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.288361.

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Cupp, Lauren. "The Final Girl Grown Up: Representations of Women in Horror Films from 1978-2016." Scholarship @ Claremont, 2017. http://scholarship.claremont.edu/scripps_theses/958.

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Carol Clover defined a Final Girl as a stereotype of the pure, virginal sole survivor in 1980’s slasher films such as Texas Chainsaw Massacre and Halloween. But does this representation hold up in 2016 films? Because the horror genre is so broad today, it’s almost impossible to nail down a certain stereotype of the genre, if there even is one. Films like the 1996 slasher parody Scream historically subverted the slasher genre, and since then there has been little to no iconic Final Girls. I argue that this trope is one very much set inside the confines of the 1980’s slasher genre, and instead is being replaced by an older, more responsible Dysfunctional Mother female character that arises from supernatural films of the late 2000’s-2010’s.
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García, Piquer Álvaro. "Facing-up Challenges of Multiobjective Clustering Based on Evolutionary Algorithms: Representations, Scalability and Retrieval Solutions." Doctoral thesis, Universitat Ramon Llull, 2012. http://hdl.handle.net/10803/80090.

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Aquesta tesi es centra en algorismes de clustering multiobjectiu, que estan basats en optimitzar varis objectius simultàniament obtenint una col•lecció de solucions potencials amb diferents compromisos entre objectius. El propòsit d'aquesta tesi consisteix en dissenyar i implementar un nou algorisme de clustering multiobjectiu basat en algorismes evolutius per afrontar tres reptes actuals relacionats amb aquest tipus de tècniques. El primer repte es centra en definir adequadament l'àrea de possibles solucions que s'explora per obtenir la millor solució i que depèn de la representació del coneixement. El segon repte consisteix en escalar el sistema dividint el conjunt de dades original en varis subconjunts per treballar amb menys dades en el procés de clustering. El tercer repte es basa en recuperar la solució més adequada tenint en compte la qualitat i la forma dels clusters a partir de la regió més interessant de la col•lecció de solucions ofertes per l’algorisme.
Esta tesis se centra en los algoritmos de clustering multiobjetivo, que están basados en optimizar varios objetivos simultáneamente obteniendo una colección de soluciones potenciales con diferentes compromisos entre objetivos. El propósito de esta tesis consiste en diseñar e implementar un nuevo algoritmo de clustering multiobjetivo basado en algoritmos evolutivos para afrontar tres retos actuales relacionados con este tipo de técnicas. El primer reto se centra en definir adecuadamente el área de posibles soluciones explorada para obtener la mejor solución y que depende de la representación del conocimiento. El segundo reto consiste en escalar el sistema dividiendo el conjunto de datos original en varios subconjuntos para trabajar con menos datos en el proceso de clustering El tercer reto se basa en recuperar la solución más adecuada según la calidad y la forma de los clusters a partir de la región más interesante de la colección de soluciones ofrecidas por el algoritmo.
This thesis is focused on multiobjective clustering algorithms, which are based on optimizing several objectives simultaneously obtaining a collection of potential solutions with different trade¬offs among objectives. The goal of the thesis is to design and implement a new multiobjective clustering technique based on evolutionary algorithms for facing up three current challenges related to these techniques. The first challenge is focused on successfully defining the area of possible solutions that is explored in order to find the best solution, and this depends on the knowledge representation. The second challenge tries to scale-up the system splitting the original data set into several data subsets in order to work with less data in the clustering process. The third challenge is addressed to the retrieval of the most suitable solution according to the quality and shape of the clusters from the most interesting region of the collection of solutions returned by the algorithm.
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Lloyd, Alexandra Louise. "Growing up in the Third Reich : representations of childhood under Nazism in post-1990 German culture." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:a35b7004-9f5f-4cce-abef-e14f2b2100e7.

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This thesis examines post-1990 representations of growing up in the Third Reich within German culture. It has two primary aims: to demonstrate how childhood is recalled, represented, and imagined by those with, and without first-hand experience of Nazism; and to situate these narratives as a central part of the post-Unification discourse about identity in the Berlin Republic. The material is organised into five chapters: it begins with an analysis of recent museum displays and exhibitions, followed by German cinema (Hitlerjunge Salomon, NaPolA: Elite für den Führer); autobiographical works, by former members of the Hitler Youth (Günter de Bruyn, Martin Walser, Günter Grass) and by Jewish children (Ruth Klüger, Georges-Arthur Goldschmidt, Günter Kunert); and finally, imagined accounts of growing up in the Third Reich (W.G. Sebald, Binjamin Wilkomirski, Gudrun Pausewang). Through close readings of primary sources, and analysis of their reception, including the public debates which they sparked, this study shows how these narratives interact with historical and contemporary notions of childhood. They are informed by the concern, embedded within post-Unification discourse, that the wealth of documentary and technical accounts of Nazism obscures the individual’s understanding of those events and what it was like to experience them. I argue that because of the close conceptual association between childhood and origins, these narratives contribute to a discourse about how the Third Reich is to be remembered, performing a 'search for a usable childhood'. This is situated within the context of Harald Welzer's notion of 'gefühlte Geschichte'; that is a mode of historical discourse focused on experience, rather than 'factual knowledge', and which appeals to emotions. In assessing narratives of growing up – which take a developmental view of childhood – this study seeks to open up previously rigid categorisations of childhood as found in literary studies which focus on the function of the child’s perspective as a literary device. Thus within a crowded research area the present study offers a differentiated treatment of these works.
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Barbo, Adrianne Marie. "From Post-Cards to Stand-Up: Cross Cultural Representations of the Veil in France and the Maghreb." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1436979499.

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Books on the topic "Representations up to homotopy"

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Mahowald, Mark, and Stewart Priddy, eds. Homotopy Theory via Algebraic Geometry and Group Representations. Providence, Rhode Island: American Mathematical Society, 1998. http://dx.doi.org/10.1090/conm/220.

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1931-, Mahowald M. E., and Priddy Stewart 1940-, eds. Homotopy theory via algebraic geometry and group representations: Proceedings of a Conference on Homotopy Theory, March 23-27, 1997, Northwestern University. Providence, R.I: American Mathematical Society, 1998.

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International Conference on Algebraic Topology (2002 Northwestern University). Homotopy theory: Relations with algebraic geometry, group cohomology, and algebraic K-theory : an international Conference on Algebraic Topology, March 24-28, 2002, Northwestern University. Edited by Goerss Paul Gregory and Priddy Stewart 1940-. Providence, R.I: American Mathematical Society, 2004.

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On maps from loop suspensions to loop spaces and the shuffle relations on the Cohen groups. Providence, R.I: American Mathematical Society, 2006.

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Complements of discriminants of smooth maps: Topology and applications. Providence, R.I: American Mathematical Society, 1992.

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A, Vasilʹev V. Complements of discriminants of smooth maps: Topology and applications. Providence, R.I: American Mathematical Society, 1994.

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Dubbers, Dirk. Quantum Physics: The Bottom-Up Approach: From the Simple Two-Level System to Irreducible Representations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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Seychelles. Ten-year development plan: Report of the committee appointed to draw up a ten year development programme and to advise on various representations for reduction of taxation. Victoria, Mahe: Govt. Print. Office, 1986.

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Exceptional vector bundles, tilting sheaves, and tilting complexes for weighted projective lines. Providence, R.I: American Mathematical Society, 2004.

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Pellech, Christine. Zum Symbolgehalt der bildhaften Darstellungen der australischen Aborigines und der Weiterführung ihrer religiösen Motive bis zur Gegenwart: To the symbols content of the visual representations by the Australian Aborigines and to the continuation of their religious motives up to the present. Greiz: König, 2011.

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Book chapters on the topic "Representations up to homotopy"

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Laitinen, Erkki. "Unstable homotopy theory of homotopy representations." In Lecture Notes in Mathematics, 210–48. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0072825.

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Rutter, John W. "Representations: homology and homotopy." In Spaces of Homotopy Self-Equivalences, 7–10. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0093739.

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Castellana, Natàlia. "Homotopy Representations of Classifying Spaces." In Trends in Mathematics, 27–33. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45441-2_5.

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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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Dodson, C. T. J., and Phillip E. Parker. "Up to Homotopy is Good Enough." In A User’s Guide to Algebraic Topology, 17–50. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4615-6309-9_3.

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Madsen, Ib, and Martin Raussen. "Smooth and locally linear g homotopy representations." In Lecture Notes in Mathematics, 130–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074428.

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Swan, Elaine. "Cultural Representations of Therapeutic Cultures." In Worked Up Selves, 70–99. London: Palgrave Macmillan UK, 2010. http://dx.doi.org/10.1057/9780230246768_4.

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Kassel, Christian. "Quantum Principal Bundles up to Homotopy Equivalence." In The Legacy of Niels Henrik Abel, 737–48. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18908-1_25.

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Roig, Agustí. "Up-to-Homotopy Algebras with Strict Units." In Trends in Mathematics, 7–13. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-84800-2_2.

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Nagasaki, Ikumitsu. "On the Theory of Homotopy Representations. A Survey." In K-Monographs in Mathematics, 65–77. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-009-0003-5_5.

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Conference papers on the topic "Representations up to homotopy"

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Winder, Brian G., Spencer P. Magleby, and Larry L. Howell. "Kinematic Representations of Pop-Up Paper Mechanisms." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35505.

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Pop-up paper mechanisms use techniques very similar to the well-studied paper folding techniques of origami. However, popups differ in both the manner of construction and the target uses, warranting further study. This paper outlines the use of planar and spherical kinematics to model commonly used pop-up paper mechanisms. A survey of common joint types is given, including folds, interlocking slots, bends, pivots, sliders and rotating sliders. Also included is an overview of common onepiece and layered mechanisms, including single-slit, double-slit, V-fold, tent, tube strap and arch mechanisms. Each mechanism or joint is described using a kinematic or compliant mechanism representation. In addition, it is shown that more complex mechanisms may be created by combining simple mechanisms in various ways. The principles presented are applied to the creation of new pop-up joints and mechanisms. The new mechanisms employ both spherical and spatial kinematic chains. Various other applications are also mentioned which could benefit from the use of pop-up mechanism principles. Possible applications include deployable structures, packaging and instruments for minimally invasive surgery.
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Artacho, Bruno, and Andreas Savakis. "BAPose: Bottom-Up Pose Estimation with Disentangled Waterfall Representations." In 2023 IEEE/CVF Winter Conference on Applications of Computer Vision Workshops (WACVW). IEEE, 2023. http://dx.doi.org/10.1109/wacvw58289.2023.00059.

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Liu, Shiyu, Guitao Cao, Yong Liu, Yan Li, Chunwei Wu, and Xidong Xi. "Mix-up Consistent Cross Representations for Data-Efficient Reinforcement Learning." In 2022 International Joint Conference on Neural Networks (IJCNN). IEEE, 2022. http://dx.doi.org/10.1109/ijcnn55064.2022.9892416.

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Wu, XiaoNan, ZengZhao Chen, and Hai Liu. "Learning Delicate Pixel-Level Representations for Bottom-Up Human Pose Estimation." In 2021 IEEE International Conference on Engineering, Technology & Education (TALE). IEEE, 2021. http://dx.doi.org/10.1109/tale52509.2021.9678618.

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Subbian, Thiagaraj, and Donald R. Flugrad. "Synthesis of an RSSR-SS Mechanism Using a Continuation Method." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0344.

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Abstract Precision position synthesis of an RSSR-SS mechanism is considered. The RSSR-SS mechanism is broken up into two RS and one SS dyads. These components are designed independently using a continuation method. This treatment is possible for a maximum of four precision positions. A parameter homotopy is implemented for the RS dyads and a 3-homogeneous traditional homotopy is used for the SS dyad design. Two example problems are considered.
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Pancoast, Stephanie, and Murat Akbacak. "Teaming Up: Making the Most of Diverse Representations for a Novel Personalized Speech Retrieval Application." In Interspeech 2016. ISCA, 2016. http://dx.doi.org/10.21437/interspeech.2016-1589.

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Meilicke, Christian, Melisachew Wudage Chekol, Daniel Ruffinelli, and Heiner Stuckenschmidt. "Anytime Bottom-Up Rule Learning for Knowledge Graph Completion." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. California: International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/435.

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We propose an anytime bottom-up technique for learning logical rules from large knowledge graphs. We apply the learned rules to predict candidates in the context of knowledge graph completion. Our approach outperforms other rule-based approaches and it is competitive with current state of the art, which is based on latent representations. Besides, our approach is significantly faster, requires less computational resources, and yields an explanation in terms of the rules that propose a candidate.
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Mirsalehi, Mir M., Thomas K. Gaylord, Daniel C. Fielder, and Clark C. Guest. "Comparison of number systems in truth-table look-up processing." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.tudd5.

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An important issue in truth-table look-up processing is the number representation used for data. In this paper, the effects of number representation are investigated for the important case of 8-bit addition as a specific example. The inputs are two 8-bit binary numbers together with an input carry. The output is a full-precision 9-bit binary sum. For the intermediate processing, three number representations are treated: binary, residue, and modified signed digit. The numbers in all three representations are in binary-coded form throughout the processing. The critically important steps of encoding the numbers into the residue and modified signed digit systems and then decoding the results back into the direct binary are also performed by applying truth-table look-up methods. For each case, the complexity has been found by listing all the required reference patterns (minterms) and reducing this list using logical minimization techniques. Also, for the binary number case, analytic expressions have been derived for the number of reduced reference patterns. It is shown that the residue processor is superior in required hardware while the binary processor is the fastest.
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N, Supriya B., and C. B. Akki. "P-BERT: Polished Up Bidirectional Encoder Representations from Transformers for Predicting Malicious URL to Preserve Privacy." In 2022 IEEE 9th Uttar Pradesh Section International Conference on Electrical, Electronics and Computer Engineering (UPCON). IEEE, 2022. http://dx.doi.org/10.1109/upcon56432.2022.9986461.

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10

Bai, Chongyang, Xiaoxue Zang, Ying Xu, Srinivas Sunkara, Abhinav Rastogi, Jindong Chen, and Blaise Agüera y Arcas. "UIBert: Learning Generic Multimodal Representations for UI Understanding." 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.2021/235.

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To improve the accessibility of smart devices and to simplify their usage, building models which understand user interfaces (UIs) and assist users to complete their tasks is critical. However, unique challenges are proposed by UI-specific characteristics, such as how to effectively leverage multimodal UI features that involve image, text, and structural metadata and how to achieve good performance when high-quality labeled data is unavailable. To address such challenges we introduce UIBert, a transformer-based joint image-text model trained through novel pre-training tasks on large-scale unlabeled UI data to learn generic feature representations for a UI and its components. Our key intuition is that the heterogeneous features in a UI are self-aligned, i.e., the image and text features of UI components, are predictive of each other. We propose five pretraining tasks utilizing this self-alignment among different features of a UI component and across various components in the same UI. We evaluate our method on nine real-world downstream UI tasks where UIBert outperforms strong multimodal baselines by up to 9.26% accuracy.
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Reports on the topic "Representations up to homotopy"

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Varastehpour, Soheil, Hamid Sharifzadeh, and Iman Ardekani. A Comprehensive Review of Deep Learning Algorithms. Unitec ePress, 2021. http://dx.doi.org/10.34074/ocds.092.

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Deep learning algorithms are a subset of machine learning algorithms that aim to explore several levels of the distributed representations from the input data. Recently, many deep learning algorithms have been proposed to solve traditional artificial intelligence problems. In this review paper, some of the up-to-date algorithms of this topic in the field of computer vision and image processing are reviewed. Following this, a brief overview of several different deep learning methods and their recent developments are discussed.
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Carter, T. R., C. E. Logan, J K Clark, H. A. J. Russell, E. H. Priebe, and S. Sun. A three-dimensional bedrock hydrostratigraphic model of southern Ontario. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/331098.

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A hydrostratigraphic framework has been developed for southern Ontario consisting of 15 hydrostratigraphic units and 3 regional hydrochemical regimes. Using this framework, the 54 layer 3-D lithostratigraphic model has been converted into a 15 layer 3-D hydrostratigraphic model. Layers are expressed as either aquifer or aquitard based principally on hydrogeologic characteristics, in particular the permeability and the occurrence/absence of groundwater when intersected by a water well or petroleum well. Hydrostratigraphic aquifer units are sub-divided into up to three distinct hydrochemical regimes: brines (deep), brackish-saline sulphur water (intermediate), and fresh (shallow). The hydrostratigraphic unit assignment provides a standard nomenclature and definition for regional flow modelling of potable water and deeper fluids. Included in the model are: 1) 3-D hydrostratigraphic units, 2) 3-D hydrochemical fluid zones within aquifers, 3) 3-D representations of oil and natural gas reservoirs which form an integral part of the intermediate to deep groundwater regimes, 4) 3-D fluid level surfaces for deep Cambrian brines, for brines and fresh to sulphurous groundwater in the Guelph Aquifer, and the fresh to sulphurous groundwater of the Bass Islands Aquifer and Lucas-Dundee Aquifer, 5) inferred shallow karst, 6) base of fresh water, 7) Lockport Group TDS, and 8) the 3-D lithostratigraphy. The 3-D hydrostratigraphic model is derived from the lithostratigraphic layers of the published 3-D geological model. It is constructed using Leapfrog Works at 400 m grid scale and is distributed in a proprietary format with free viewer software as well as industry standard formats.
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