Results 11 to 20 of about 12,206,178 (323)
Optimal Information Transfer and the Uniform Measure over Probability Space [PDF]
Entropy, 2023 For a quantum system with a d-dimensional Hilbert space, suppose a pure state |ψ⟩ is subjected to a complete orthogonal measurement. The measurement effectively maps |ψ⟩ to a point (p1,…,pd) in the appropriate probability simplex.
William K. Wootters
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A metric space associated with probability space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 For a complete probability space (Ω,∑,P), the set of all complete sub-σ-algebras of ∑, S(∑), is given a natural metric and studied. The questions of when S(∑) is compact or connected are awswered and the important subset consisting of all continuous sub ...
Keith F. Taylor, Xikui Wang
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Distances in Probability Space and the Statistical Complexity Setup
Entropy, 2011 Statistical complexity measures (SCM) are the composition of two ingredients: (i) entropies and (ii) distances in probability-space. In consequence, SCMs provide a simultaneous quantification of the randomness and the correlational structures present in ...
Montserrat Casas +4 more
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Standard representation of multivariate functions on a general probability space
, 2009 It is well-known that a random variable, i.e. a function defined on a probability space, with values in a Borel space, can be represented on the special probability space consisting of the unit interval with Lebesgue measure. We show an extension of
Janson, Svante,
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Graph Signal Processing Over a Probability Space of Shift Operators [PDF]
IEEE Transactions on Signal Processing, 2021 Graph signal processing (GSP) uses a shift operator to define a Fourier basis for the set of graph signals. The shift operator is often chosen to capture the graph topology.
Feng Ji, Wee Peng Tay, Antonio Ortega
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A Minimal Probability Space for Conditionals [PDF]
Journal of Philosophical Logic, 2023 Abstract One of central problems in the theory of conditionals is the construction of a probability space, where conditionals can be interpreted as events and assigned probabilities. The problem has been given a technical formulation by van Fraassen (23), who also discussed in great detail the solution in the form of Stalnaker Bernoulli spaces.
Anna Wojtowicz, Krzysztof Wójtowicz
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The Minkowski problem in Gaussian probability space [PDF]
Advances in Mathematics, 2020 The Minkowski problem in Gaussian probability space is studied in this paper. In addition to providing an existence result on a Gaussian-volume-normalized version of this problem, the main goal of the current work is to provide uniqueness and existence ...
Yong Huang, Dong-Meng Xi, Yiming Zhao
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IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023 Change vector analysis (CVA) and post-classification change detection (PCC) have been the most widely used change detection methods. However, CVA requires sound radiometric correction to achieve optimal performance, and PCC is susceptible to accumulated ...
Yi-Kun Li +5 more
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Geometry on Probability Spaces [PDF]
Constructive Approximation, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Smale, Steve, Zhou, Ding-Xuan
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On the Equivalence of Probability Spaces [PDF]
Journal of Theoretical Probability, 2016 To appear in Journal of Theoretical ...
Daniel Alpay +2 more
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