Optimal Transport: Theory and Applications

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Related lectures (31)

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Thermodynamic Identity: Entropy and Energy

Explores the thermodynamic identity, entropy-temperature relationship, and pressure definition, illustrating key principles with practical examples.

Thermodynamics: Entropy and Ideal Gases

Explores entropy, ideal gases, and TDS equations in thermodynamics, emphasizing the importance of the Clausius inequality and the Carnot cycle.

Numerical Methods: Runge-Kutta Approximation

Covers the Runge-Kutta method for approximating solutions of differential equations.

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Injective Functions: Properties and Examples

Covers the properties of injective functions and demonstrates their proofs through examples and visual aids.

Entropy in Neuroscience and Ecology

Delves into entropy in neuroscience data and ecology, exploring the representation of sensory information and the diversity of biological populations.

Bipartite systems - Entanglement

Covers the concept of entanglement in bipartite systems, focusing on entropy and Schmidt decomposition.

Holomorphic Functions: Taylor Series Expansion

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Proofs: Logic, Mathematics & Algorithms

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Information Measures

Covers information measures like entropy, Kullback-Leibler divergence, and data processing inequality, along with probability kernels and mutual information.