Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families.
Frédéric BarbarescoPublished in: Entropy (2016)
Keyphrases
- information geometry
- exponential family
- fisher information
- bregman divergences
- lie group
- maximum likelihood
- graphical models
- information theoretic
- statistical models
- log likelihood
- closed form
- density estimation
- euclidean space
- mixture model
- free energy
- cost sensitive
- infinite dimensional
- missing values
- mean shift
- kl divergence
- geometric structure
- mahalanobis distance
- covariance matrices
- order statistics
- variational methods
- image sequences
- hidden variables
- nearest neighbor