Matrix theory | Theorems in linear algebra

Sinkhorn's theorem

Sinkhorn's theorem states that every square matrix with positive entries can be written in a certain standard form. (Wikipedia).

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Multivariable Calculus | The Squeeze Theorem

We calculate a limit using a multivariable version of the squeeze theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Differential Equations | Abel's Theorem

We present Abel's Theorem with a proof. http://www.michael-penn.net

From playlist Differential Equations

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Patrick Shafto - Cooperative communication as Belief Transport - IPAM at UCLA

Recorded 18 February 2022. Patrick Shafto of Rutgers University presents "Cooperative communication as Belief Transport" at IPAM's Mathematics of Collective Intelligence Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/mathematics-of-intelligences/?tab=schedule

From playlist Workshop: Mathematics of Collective Intelligence - Feb. 15 - 19, 2022.

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Statistical aspects of stochastic algorithms for entropic (...) - Bigot - Workshop 2 - CEB T1 2019

Jérémie Bigot (Univ. Bordeaux) / 12.03.2019 Statistical aspects of stochastic algorithms for entropic optimal transportation between probability measures. This talk is devoted to the stochastic approximation of entropically regularized Wasserstein distances between two probability measu

From playlist 2019 - T1 - The Mathematics of Imaging

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Mathematical foundations for human-level intelligence (Part 1): Cooperative commun... Patrick Shafto

Members’ Colloquium Topic: Mathematical foundations for human-level intelligence (Part 1): Cooperative communication as belief transport Speaker: Patrick Shafto Affiliation: Rutgers University; Member, School of Mathematics Date: November 22, 2021 Human learning outstrips modern machine

From playlist Mathematics

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Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem

In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

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Niles Weed :Weak limits for entropic optimal transport I

CONFERENCE Recording during the thematic meeting : "Meeting in Mathematical Statistics " the December 16, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIRM's Au

From playlist Probability and Statistics

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What is the max and min of a horizontal line on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Niles Weed :Weak limits for entropic optimal transport II

CONFERENCE Recording during the thematic meeting : "Meeting in Mathematical Statistics " the December 15, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on

From playlist Probability and Statistics

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Aude Genevay: Bridging the gap between optimal transport and MMD with Sinkhorn divergences

Keywords : optimal transport, machine learning MSC Codes : 65C20 - Models (numerical methods) 65C60 - Computational problems in statistics 68T01 - General Recording during the meeting "Optimization for Machine Learning " the March 12, 2020 at the Centre International de Rencontres Mathém

From playlist Mathematics in Science & Technology

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Geoffrey Woollard - Stochastic inference and Computational Optimal Transport in 3D heterogeneity

Recorded 14 November 2022. Geoffrey Woollard of the University of British Columbia presents "Using Stochastic variational inference and Computational Optimal Transport for problems in 3D heterogeneity" at IPAM's Cryo-Electron Microscopy and Beyond Workshop. Abstract: We present two computa

From playlist 2022 Cryo-Electron Microscopy and Beyond

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Convolution Theorem: Fourier Transforms

Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.

From playlist Partial differential equations

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Determine the extrema of a function on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Gero Friesecke - Fast algorithm for the strong-interaction limit of density functional theory

Recorded 29 March 2022. Gero Friesecke of Technische Universität München presents "Fast algorithm for the strong-interaction limit of density functional theory" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Abstract: While not reached in nature, the strong-interaction limi

From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop

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Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem

In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

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Quadratically regularized optimal transport - Lorenz - Workshop 1 - CEB T1 2019

Lorenz (Univ. Braunschweig) / 07.02.2019 Quadratically regularized optimal transport Among regularization techniques for optimal transport, entropic regularization has played a pivotal rule. The main reason may be its computational simplicity: the Sinkhorn-Knopp iteration can be impleme

From playlist 2019 - T1 - The Mathematics of Imaging

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Find the max and min from a quadratic on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Calculus 5.3 The Fundamental Theorem of Calculus

My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart

From playlist Calculus

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Stefano Gualandi: "Discrete Optimal Transport by Parallel Network Simplex"

Deep Learning and Combinatorial Optimization 2021 "Discrete Optimal Transport by Parallel Network Simplex" Stefano Gualandi - Università di Pavia Abstract: We present recent results on the solution of problems related to the theory of Optimal Transport by using an efficient parallel impl

From playlist Deep Learning and Combinatorial Optimization 2021

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Calculus - The Fundamental Theorem, Part 2

The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.

From playlist Calculus - The Fundamental Theorem of Calculus

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Density matrix | Doubly stochastic matrix | Diagonal matrix | Square matrix | Iterative proportional fitting | Matrix (mathematics) | Unitary matrix