# Questions tagged [information-geometry]

Information geometry is a branch of mathematics that applies the techniques of differential geometry to the field of probability theory. This is done by taking probability distributions for a statistical model as the points of a Riemannian manifold, forming a statistical manifold. The Fisher information metric provides the Riemannian metric.

**5**

**1**answer

### Approximation of Wasserstein distance between $p_\theta$ and $p_{\theta + d\theta}$

**3**

**1**answer

### Interpolation inequality related to the 5/3-Laplace operator

**6**

**5**answers

### Reviews of Probability in High Dimension not by Van Handel

**2**

**0**answers

### Parametric distances on product spaces of measures

**3**

**0**answers

### Distance measures that preserve Pythagoras' theorem but break the triangle inequality

**2**

**1**answer

### Is Bregman divergence independent of coordinates?

**3**

**0**answers

### Covariance operator analogue for manifolds and respective measure manifolds

**3**

**0**answers

### Partial information decomposition for tangle machines

**2**

**0**answers

### Minimizer of a class of SDEs

**2**

**1**answer

### How much can KL divergence decrease by diluting the reference distribution

**2**

**1**answer

### (quasi)metric on Riemannian manifolds via Brownian Motion?

**4**

**2**answers

### About optimization with Renyi divergence

**1**

**0**answers

### Relation between Aitchison Distance on a Simplex and Geodesic distance on the multinomial manifold [closed]

**27**

**0**answers