Arthur Parzygnat

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103 videos

I plan on posting educational material here. As of now, there are videos on analysis, linear algebra, category theory, probability, differential equations, d...

Latest Videos

Linear Algebra - Least Squares Approximation - 10 - Fitting data to the Michaelis--Menten equation

Linear Algebra - Least Squares Approximation - 09 - Fitting data to more general functions example

Quantum states over time (15 minute talk)

Quantum Bayesian inversion and conditional distributions

Finite-dimensional C-algebras - 03 - Stochastic Gelfand--Naimark theorem

Finite-dimensional C-algebras - 02 - positivity

Finite-dimensional C-algebras - 01 - -homomorphisms

Kleisli categories and probability - 03 - Markov kernels

Kleisli categories and probability - 02 - The Kleisli category of a monad

Kleisli categories and probability - 01 - The Giry monad

Stochastic maps - 04 -Bayes' theorem

Stochastic maps - 03 - Products of conditional probabilities and a.e. equivalence

Stochastic maps - 02 - Composing conditional probabilities

Stochastic maps - 01 - Conditional probabilities

Affine subspaces and transformations - 04 - composition of affine transformations

Affine subspaces and transformations - 03 - affine transformations

Affine subspaces and transformations - 02 - affine subspaces

Affine subspaces and transformations - 01 - affine combinations

Topics in Linear Algebra - The Functional Calculus - 05 - Proof of main theorem

Topics in Linear Algebra - The Functional Calculus - 04 - The determinant of a Vandermonde matrix

Topics in Linear Algebra - The Functional Calculus - 03 - Polynomial interpolation

Topics in Linear Algebra - The Functional Calculus - 02 - Square-root of a positive matrix

Topics in Linear Algebra - The Functional Calculus - 01 - Theorem and Example

Linear Algebra - Hamming's error correcting codes - 04 - Parity bits

Linear Algebra - Hamming's error correcting codes - 03 - Example

Linear Algebra - Hamming's error correcting codes - 02 - Properties of Hamming matrices

Linear Algebra - Hamming's error correcting codes - 01 - Hamming matrices

Linear Algebra - Least Squares Approximation - 08 - The inverse of A transpose times A

Linear Algebra - Least Squares Approximation - 07 - Fitting data to more general functions

Linear Algebra - Least Squares Approximation - 06 - Fitting data to a straight curve example