Results 51 to 60 of about 9,368,793 (360)
A convenient category for higher-order probability theory [PDF]
Logic in Computer Science, 2017 Higher-order probabilistic programming languages allow programmers to write sophisticated models in machine learning and statistics in a succinct and structured way, but step outside the standard measure-theoretic formalization of probability theory ...
C. Heunen +3 more
semanticscholar +1 more source
Theory of Finite Pseudoalgebras [PDF]
, 2001 Conformal algebras, recently introduced by Kac, encode an axiomatic description of the singular part of the operator product expansion in conformal field theory.
Alessandro D'Andrea +42 more
core +2 more sources
Frontiers in Psychology, 2023 Human consciousness is characterized by constant transitions in time. On the other hand, what is consciously experienced always possesses the temporal feature of “now.” In consciousness, “now” constantly holds different contents, yet it remains “now” no ...
Shigeru Taguchi +2 more
doaj +1 more source
Solving Tree Problems with Category Theory
, 2018 Artificial Intelligence (AI) has long pursued models, theories, and techniques to imbue machines with human-like general intelligence. Yet even the currently predominant data-driven approaches in AI seem to be lacking humans' unique ability to solve wide
BC Pierce +14 more
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Zagadnienia Filozoficzne w Nauce, 2022 The unusual applicability of mathematics to the description of the physical reality still remains a major investigative task for philosophers, physicists, mathematicians and cognitive scientists.
Wojciech Grygiel
doaj
Pro-categories in homotopy theory [PDF]
Algebraic & Geometric Topology, 2017 The goal of this paper is to prove an equivalence between the model categorical approach to pro-categories, as studied by Isaksen, Schlank and the first author, and the $\infty$-categorical approach, as developed by Lurie. Three applications of our main result are described.
Barnea, Ilan +2 more
openaire +7 more sources
Cluster theory of the coherent Satake category [PDF]
Journal of The American Mathematical Society, 2018 We study the category of G ( O ) G(\mathcal {O}) -equivariant perverse coherent sheaves on the affine Grassmannian G r G \mathrm {Gr}_G
Sabin Cautis, H. Williams
semanticscholar +1 more source
Mathematical Modelling by Help of Category Theory: Models and Relations between Them
Mathematics, 2021 The growing complexity of modern practical problems puts high demand on mathematical modelling. Given that various models can be used for modelling one physical phenomenon, the role of model comparison and model choice is becoming particularly important.
Dmitrii Legatiuk
doaj +1 more source
Categories of Scientific Theories [PDF]
, 2018 We discuss ways in which category theory might be useful in philosophy of science, in particular for articulating the structure of scientific theories. We argue, moreover, that a categorical approach transcends the syntax–semantics dichotomy in twentieth century analytic philosophy of science.
Hans Halvorson, Dimitris Tsementzis
openaire +2 more sources
Population Ecology, EarlyView.This study examines the demographic dynamics of two seabird populations on Tromelin Island, 15 years after the eradication of brown rats. The results indicate that these populations are in good health and are expected to continue growing until breeding sites are saturated in about a century.
Merlène Saunier +6 more
wiley +1 more source