Results 11 to 20 of about 3,984,242 (310)
Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables [PDF]
, 2010 In this article we continue formalizing probability and randomness started in [13], where we formalized some theorems concerning the probability and real-valued random variables.
Agata Darmochwał +23 more
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Tracing evolutionary links between species [PDF]
, 2014 The idea that all life on earth traces back to a common beginning dates back at least to Charles Darwin's {\em Origin of Species}. Ever since, biologists have tried to piece together parts of this `tree of life' based on what we can observe today ...
Steel, Mike
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Kolmogorov's Zero-One Law [PDF]
, 2009 This article presents the proof of Kolmogorov’s zero-one law in probability theory. The independence of a family of σ-fields is defined and basic theorems on it are given.Ludwig Maximilian University of Munich, GermanyGrzegorz Bancerek.
Doll, Agnes
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An introduction to statistical learning with applications in R
Statistical Theory and Related Fields, 2021 The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics.
Fariha Sohil +2 more
semanticscholar +1 more source
When Does a Mixture of Products Contain a Product of Mixtures? [PDF]
, 2014 We derive relations between theoretical properties of restricted Boltzmann machines (RBMs), popular machine learning models which form the building blocks of deep learning models, and several natural notions from discrete mathematics and convex geometry.
Montufar, Guido F., Morton, Jason
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The Topology-Free Construction of the Universal Type Structure for Conditional Probability Systems
, 2017 We construct the universal type structure for conditional probability systems without any topological assumption, namely a type structure that is terminal, belief-complete, and non-redundant. In particular, in order to obtain the belief-completeness in a
Guarino, Pierfrancesco
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Four lectures on probabilistic methods for data science
, 2016 Methods of high-dimensional probability play a central role in applications for statistics, signal processing theoretical computer science and related fields.
Vershynin, Roman
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An Advanced Mathematics Program for Middle School Teachers [PDF]
, 2004 The Conference Board of the Mathematical Sciences (CBMS), National Council of Teachers of Mathematics, and other organizations recommend twenty-one credits of mathematics coursework for prospective middle school teachers, beginning with a foundation ...
Carothers, D.
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Advanced Engineering Materials, EarlyView.This article presents a solver‐agnostic domain‐specific language (DSL) for computational structural mechanics that strengthens interoperability in virtual product development. Using a hierarchical data model, the DSL enables seamless exchange between diverse simulation tools and numerical methods.
Martin Rädel +3 more
wiley +1 more source
, 2018 Cl Fuzzy concepts are 'natural' generalizations of conventional mathematical concepts. Cl Probability and possibility are complementary. Cl Possibility theory is the attempt to be precise about uncertainty, to related statistical objects with rule-based ...
Olaf Wolkenhauer
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