Information Geometry and Its Applications

Information Geometry and Its Applications

Amari, Shun-ichi

Springer Verlag, Japan

03/2018

374

Mole

Inglês

9784431567431

15 a 20 dias

593

Descrição não disponível.
1 Manifold, Divergence and Dually Flat Structure.- 2 Exponential Families and Mixture Families of Probability.- 3 Invariant Geometry of Manifold of Probability.- 4 ?-Geometry, Tsallis q-Entropy and Positive-Definite.- 5 Elements of Differential Geometry.- 6 Dual Affine Connections and Dually Flat Manifold.- 7 Asymptotic Theory of Statistical Inference.- 8 Estimation in the Presence of Hidden Variables.- 9 Neyman-Scott Problem.- 10 Linear Systems and Time Series.- 11 Machine Learning.- 12 Natural Gradient Learning and its Dynamics in Singular.- 13 Signal Processing and Optimization.- Index.
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Dual differential geometry;Information geometry;Machine learning;Mathematical neuroscience;Natural gradient learning;Signal processing