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High-Dimensional Probability: An Introduction with Applications in Data Science
Quantitative finance (Print), 2020© 2018, Cambridge University Press Let us summarize our findings. A random projection of a set T in R n onto an m-dimensional subspace approximately preserves the geometry of T if m ⪆ d ( T ) .
O. Papaspiliopoulos
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Quantitative Methods in Transportation, 2020
One of the main objectives of a statistician is to draw conclusions about a population of objects by conducting an experiment. The first step in this endeavor is to identify the possible outcomes or, in statistical terminology, the sample space ...
Dušan Teodorović, M. Nikolić
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One of the main objectives of a statistician is to draw conclusions about a population of objects by conducting an experiment. The first step in this endeavor is to identify the possible outcomes or, in statistical terminology, the sample space ...
Dušan Teodorović, M. Nikolić
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Social Science Research Network, 2019
This is an edited and enhanced transcript (with notes and references added) from a lecture on "Probability", prepared as background material for the Minds and Machines course (SYMSYS 1/PSYCH 35/LINGUIST 35/PHIL 99) at Stanford University.
Todd Davies
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This is an edited and enhanced transcript (with notes and references added) from a lecture on "Probability", prepared as background material for the Minds and Machines course (SYMSYS 1/PSYCH 35/LINGUIST 35/PHIL 99) at Stanford University.
Todd Davies
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Quantum probabilities, Kolmogorov probabilities, and informational probabilities
International Journal of Theoretical Physics, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Mathematical Sciences, 2001
In this paper, the author presents his theory of filtered random variables, which provides in particular an interpolation between non-commutative probabilistic settings such as Boolean and free probability. Given a family of noncommutative probability spaces of the form \((\widehat{\mathcal A} , \widehat{\varphi}) = (\bigotimes_{l\in L} {\mathcal A}_l ,
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In this paper, the author presents his theory of filtered random variables, which provides in particular an interpolation between non-commutative probabilistic settings such as Boolean and free probability. Given a family of noncommutative probability spaces of the form \((\widehat{\mathcal A} , \widehat{\varphi}) = (\bigotimes_{l\in L} {\mathcal A}_l ,
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Computational Geosciences, 2002
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King, P. R., Neuweiler, I.
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King, P. R., Neuweiler, I.
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Journal of Mathematical Physics, 1984
The concept of a probability manifold M is introduced. The global properties of M inherited from its local structure are then considered. It is shown that a deterministic spin model due to Pitowski falls within this general framework. Finally, we construct a phase-space model for nonrelativistic quantum mechanics.
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The concept of a probability manifold M is introduced. The global properties of M inherited from its local structure are then considered. It is shown that a deterministic spin model due to Pitowski falls within this general framework. Finally, we construct a phase-space model for nonrelativistic quantum mechanics.
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Foundations of Modern Probability
Probability Theory and Stochastic Modelling, 2021O. Kallenberg
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Journal of Systems Science and Complexity
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Probability and Probability Distributions
2014The concept of probability is relevant to experiments that have some uncertain outcomes. These are the situations in which, despite every effort to maintain fixed conditions, some variation of the result in repeated trials of the experiment is unavoidable.
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