Stochastic control | Dynamic programming | Optimal decisions

Automatic basis function construction

In machine learning, automatic basis function construction (or basis discovery) is the mathematical method of looking for a set of task-independent basis functions that map the state space to a lower-dimensional embedding, while still representing the value function accurately. Automatic basis construction is independent of prior knowledge of the domain, which allows it to perform well where expert-constructed basis functions are difficult or impossible to create. (Wikipedia).

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Modular Functions | Modular Forms; Section 1.1

In this video we introduce the notion of modular functions. My Twitter: https://twitter.com/KristapsBalodi3 Intro (0:00) Weakly Modular Functions (2:10) Factor of Automorphy (8:58) Checking the Generators (15:04) The Nome Map (16:35) Modular Functions (22:10)

From playlist Modular Forms

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Modular Forms | Modular Forms; Section 1 2

We define modular forms, and borrow an idea from representation theory to construct some examples. My Twitter: https://twitter.com/KristapsBalodi3 Fourier Theory (0:00) Definition of Modular Forms (8:02) In Search of Modularity (11:38) The Eisenstein Series (18:25)

From playlist Modular Forms

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The Benefits of Functional Architectures | Systems Engineering, Part 3

See the other videos in this series: https://www.youtube.com/playlist?list=PLn8PRpmsu08owzDpgnQr7vo2O-FUQm_fL Functional, logical, and physical architectures are important tools for designing complex systems. We describe what architectures are and how they contribute to the early stages of

From playlist Systems Engineering

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2.11117 What is a rational function Functions

http://www.freemathvideos.com presents: Learn math your way. My mission is to provide quality math education to everyone that is willing to receive it. This video is only a portion of a video course I have created as a math teacher. Please visit my website to join my mailing list, downloa

From playlist Rational Functions - Understanding

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Master Find the Slant Asymptotes of Rational Functions

I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. If I helped you in this video, I would love to have you subscribe. My subscribers are my

From playlist Rational Functions #Master

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Master How to determine the x and y intercepts of a rational function

I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. If I helped you in this video, I would love to have you subscribe. My subscribers are my

From playlist Rational Functions #Master

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60 years of dynamics and number expansions - 11 December 2018

http://crm.sns.it/event/441/ 60 years of dynamics and number expansions Partially supported by Delft University of Technology, by Utrecht University and the University of Pisa It has been a little over sixty years since A. Renyi published his famous article on the dynamics of number expa

From playlist Centro di Ricerca Matematica Ennio De Giorgi

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Thomas Ransford: Constructive polynomial approximation in Banach spaces of holomorphic functions

Recording during the meeting "Interpolation in Spaces of Analytic Functions" the November 21, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audio

From playlist Analysis and its Applications

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Simplify a rational expression

Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational

From playlist Simplify Rational Expressions

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Eva Gallardo Gutiérrez: The invariant subspace problem: a concrete operator theory approach

Abstract: The Invariant Subspace Problem for (separable) Hilbert spaces is a long-standing open question that traces back to Jonhn Von Neumann's works in the fifties asking, in particular, if every bounded linear operator acting on an infinite dimensional separable Hilbert space has a non-

From playlist Analysis and its Applications

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DDPS | Entropy stable schemes for nonlinear conservation laws

High order methods are known to be unstable when applied to nonlinear conservation laws with shocks and turbulence, and traditionally require additional filtering, limiting, or artificial viscosity to avoid solution blow up. Entropy stable schemes address this instability by ensuring that

From playlist Data-driven Physical Simulations (DDPS) Seminar Series

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Jong Chul Ye: "Geometric Understanding of Supervised and Unsupervised Deep Learning for Biomedic..."

Deep Learning and Medical Applications 2020 "Geometric Understanding of Supervised and Unsupervised Deep Learning for Biomedical Image Reconstruction" Jong Chul Ye - Korea Advanced Institute of Science and Technology (KAIST), Bio and Brain Engineering/Mathematics Abstract: Recently, deep

From playlist Deep Learning and Medical Applications 2020

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Émilie Charlier: Logic, decidability and numeration systems - Lecture 1

Abstract: The theorem of Büchi-Bruyère states that a subset of Nd is b-recognizable if and only if it is b-definable. As a corollary, the first-order theory of (N,+,Vb) is decidable (where Vb(n) is the largest power of the base b dividing n). This classical result is a powerful tool in ord

From playlist Mathematical Aspects of Computer Science

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Andrea D'Agnolo : On the Riemann-Hilbert correspondence for irregular holonomic D-modules

Abstract: The classical Riemann-Hilbert correspondence establishes an equivalence between the triangulated categories of regular holonomic D-modules and of constructible sheaves. In a joint work with Masaki Kashiwara, we proved a Riemann-Hilbert correspondence for holonomic D-modules which

From playlist Analysis and its Applications

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Reid Dale Talk 1 9/16/16 Part 1

Title: An Introduction to Pillay's Differential Galois Theory (Part 1)

From playlist Fall 2016

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Dividing rational expressions

Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r

From playlist How to Divide Rational Expressions #Rational

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Ahmed Ratnani: Towards complex and realistic tokamaks geometries in computational plasma physics

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Mathematical Physics

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Eigenvalues and eigenvectors | Adjacency matrix | Graph (discrete mathematics) | Random walk | Dynamic programming | Bellman equation | Diagonal matrix | Reinforcement learning | Linear function | Basis function | Optimal control | Domain (mathematical analysis) | Orthogonal basis | State space | Diffusion wavelets | Feature (machine learning)