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15
465
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What do the level sets of the Shannon entropy look like?

Published on
#probability #geometry #information-theory #entropy #information-geometry
239
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Stationary distributions of a Markov chain are $e-$convex?

Published on
#markov-chains #information-theory #information-geometry
39
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KL Divergence estimation

Published on
#analysis #information-theory #information-geometry #robust-statistics
45
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Reversed version of de Bruijn's identity/Boltzmann H-theorem for Markov processes

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#stochastic-processes #markov-process #entropy #lyapunov-functions #information-geometry
60
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Is it true that $D_{KL}[q_1 \| p]\leq D_{KL}[q_2 \| p] \Rightarrow D_{KL}[p\|q_1]\leq D_{KL}[p \| q_2]$?

Published on
#functional-analysis #probability-distributions #information-theory #functional-inequalities #information-geometry
80
Views

Show the equivalence between two definitions of the Bures (/Fisher/Wasserstein) metric

Published on
#metric-spaces #quantum-information #information-geometry
48
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A geometric property of divergence (statistics)

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#calculus #statistics #differential-geometry #partial-derivative #information-geometry
250
Views

What is the intuition behind the Fisher-Rao metric?

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#probability-theory #differential-geometry #intuition #fisher-information #information-geometry
116
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Differentiating log likelihood with respect to data

Published on
#differential-geometry #log-likelihood #information-geometry
84
Views

Has anyone studied the quasimetric induced by the KL divergence?

Published on
#probability #statistics #metric-spaces #information-theory #information-geometry
316
Views

Upper bound on Bregman divergence

Published on
#statistics #convex-analysis #convex-optimization #convex-geometry #information-geometry
92
Views

Locality of canonical Bregman divergence on dually flat manifolds

Published on
#information-geometry
90
Views

Is the induced Fisher information metric equal to the Fisher metric of a submanifold?

Published on
#statistics #differential-geometry #geometric-probability #fisher-information #information-geometry
66
Views

what are the prerequisites/background needed to understanding Amari's "Information geometry and its applications"?

Published on
#information-geometry
76
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Linear forms on the algebra of functions

Published on
#measure-theory #information-geometry

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