Главная
Study mode:
on
You
History
Saved
In progress 0 courses
compleat 0 courses
#Art & Design #Adobe #ChatGPT #GitHub

#Approximation Theory

Showing: 48 courses
Santa Fe Institute

Sloppy Models, Differential Geometry, and Why Science Works

0 rewiews
Explore how complex systems can be modeled despite parameter uncertainties, using differential geometry to understand 'sloppiness' and its implications for scientific comprehension and prediction.
Add to list
14 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Sparsifying Suprema of Gaussian Processes

0 rewiews
Explore a 49-minute lecture on approximating the supremum of centered Gaussian processes using finite-dimensional Gaussian processes. Delve into the proof that shows how the approximation's dimension depends solely on the target error. Discover the corol…
Add to list
1 Lesons
49 minutes
On-Demand
Free-Video
Banach Center

Complexity of Approximating Holder Classes from Information with Varying Gaussian Noise

0 rewiews
Explore approximation complexity for Holder classes with varying Gaussian noise, focusing on mathematical applications and information theory concepts.
Add to list
1 Lesons
35 minutes
On-Demand
Free-Video
CIMPA UCR

Un Enfoque Alternativo para la Aproximación Pseudoinversa Tensorial y su Aplicación en el Procesamiento de Imágenes

0 rewiews
Explora un enfoque alternativo para la aproximación pseudoinversa tensorial y su aplicación en el procesamiento de imágenes.
Add to list
1 Lesons
35 minutes
On-Demand
Free-Video
Paul G. Allen School

ADSI Summer Workshop- Algorithmic Foundations of Learning and Control, Pablo Parrilo

0 rewiews
Explore advanced Gaussian kernel factorization techniques and their applications in machine learning and control systems, with insights from approximation theory.
Add to list
18 Lesons
51 minutes
On-Demand
Free-Video
Imperial College London

Making Decisions with Known Unknowns - Professor Eric Kerrigan's Inaugural Lecture

0 rewiews
Explore decision-making under uncertainty, covering aerodynamics, electrical engineering, and energy systems. Learn optimization techniques for real-world problem-solving.
Add to list
17 Lesons
1 hour 9 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Introduction to the Finite Element Method: 1D Basis Functions

0 rewiews
Explore 1D basis functions in finite element method. Learn key concepts and applications for numerical analysis and engineering problem-solving.
Add to list
1 Lesons
12 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Approximation of Vertex Transitive Graphs by Nilpotent Groups and Applications to Probability

0 rewiews
Delve into advanced mathematical concepts exploring vertex-transitive graphs, their approximation through nilpotent groups, and probabilistic applications in topological dynamics.
Add to list
1 Lesons
47 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Hardy Spaces - Part 3

0 rewiews
Explore Hardy spaces with a focus on rotation, generalization, and approximate identities. Delve into uniform boundedness, Poisson PR constructions, and harmonic functions.
Add to list
11 Lesons
57 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Urysohn Width

0 rewiews
Explore the 100-year history and applications of Urysohn width, a metric invariant quantifying space approximation by simplicial complexes. Discover its role in dimension theory and modern geometric challenges.
Add to list
1 Lesons
54 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Quadrature Rules on Manifolds - Useful Results - Lecture 3

0 rewiews
Explore advanced quadrature techniques for manifolds, focusing on key results and applications in harmonic analysis. Gain insights into cutting-edge mathematical approaches.
Add to list
1 Lesons
52 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Quadrature Rules on Manifolds - Designs - Lecture 1

0 rewiews
Explore quadrature rules on manifolds and designs in harmonic analysis. Learn about cutting-edge mathematical techniques for solving complex problems in geometry and analysis.
Add to list
1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Insights into Mathematics

More Bases of Polynomial Spaces - Lecture 21

0 rewiews
Explore advanced polynomial bases: Lagrange, Chebyshev, Bernstein, and Spread. Learn their properties, applications in approximation, and relationships, enhancing understanding of polynomial spaces in linear algebra.
Add to list
24 Lesons
46 minutes
On-Demand
Free-Video
Insights into Mathematics

Real Numbers and Cauchy Sequences of Rationals - Math Foundations 112

0 rewiews
Explores the concept of real numbers, challenging their existence and examining how quantities like length, area, and function values are inherently approximate rather than exact 'real' values.
Add to list
8 Lesons
36 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Approximately Hadamard Matrices and Random Frames

0 rewiews
Explore approximately Hadamard matrices and random frames with Mark Rudelson, delving into advanced mathematical concepts and their applications in signal processing and data analysis.
Add to list
1 Lesons
48 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Optimality of Algorithms for Approximation and Computation - Rothschild Lecture

0 rewiews
Explore optimality in approximation and computation algorithms with Prof. Ronald DeVore's in-depth analysis of mathematical techniques and their applications in data science.
Add to list
1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Image Compression with Differential Equations

0 rewiews
Explore innovative image compression techniques using partial differential equations, combining mathematical modeling, optimization, and numerical methods for efficient data encoding and reconstruction.
Add to list
1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Bridging the Divide: From Matrix to Tensor Algebra for Optimal Approximation and Compression

0 rewiews
Explore tensor algebra and its advantages over matrix-based approaches for data compression and analysis. Learn about novel tensor-tensor products and their applications in various fields.
Add to list
1 Lesons
1 hour
On-Demand
Free-Video
Stony Brook Mathematics

Polynomially Convex Embeddings of Real Manifolds in C^n

0 rewiews
Explore geometric embeddings of real manifolds in complex spaces, focusing on polynomial convexity and its connections to approximation theory and diverse mathematical areas.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Conference GSI

An Approximate Projection onto the Tangent Cone to the Variety of Third Order Tensors of Bounded Rank

0 rewiews
Explore approximate projection techniques for third-order tensors with bounded rank, focusing on tangent cone analysis and applications in tensor decomposition.
Add to list
1 Lesons
19 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

The Stone-Weierstrass Theorem

0 rewiews
Explore the Stone-Weierstrass theorem, a fundamental result in functional analysis and approximation theory.
Add to list
1 Lesons
31 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On the Completeness of Interpolation Algorithms

0 rewiews
Explore mathematical interpolation algorithms, their completeness, and applications in computational mathematics with insights from recent research publications.
Add to list
1 Lesons
22 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Waists Measured via Urysohn Width in Riemannian Manifolds

0 rewiews
Explore Urysohn width's role in measuring approximate dimension of Riemannian manifolds and its connection to positive scalar curvature, with insights on slicing manifolds.
Add to list
1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Fields Institute

Exponential Expression Rates for Neural Operator Approximation to Solution Operators of FBSDEs

0 rewiews
Explore exponential expression rates in neural operator approximations for FBSDE solution operators, advancing mathematical finance understanding.
Add to list
1 Lesons
25 minutes
On-Demand
Free-Video
Banach Center

Approximation of Vertex-Transitive Graphs by Nilpotent Groups and Applications to Probability

0 rewiews
Explore vertex-transitive graph approximation using nilpotent groups and its probabilistic applications in this mathematical research presentation.
Add to list
1 Lesons
47 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Weyl Asymptotics for Poincare-Steklov Eigenvalues in Domains with Lipschitz Boundaries

0 rewiews
Explorez les asymptotiques de Weyl pour les valeurs propres de Poincaré-Steklov dans un domaine à frontière lipschitzienne, avec une approche basée sur l'approximation par des problèmes réguliers.
Add to list
1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
GERAD Research Center

Foundations of Neo-Bayesian Statistics - Part 2

0 rewiews
Explore Neo-Bayesian Statistics foundations, examining alternative probability theories and their implications for statistical inference, dynamic consistency, and capacity updating.
Add to list
1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Banach Center

Fast Evaluation of Real and Complex Polynomials

0 rewiews
Explore efficient techniques for evaluating real and complex polynomials, enhancing computational skills in mathematical analysis and numerical methods.
Add to list
1 Lesons
44 minutes
On-Demand
Free-Video
Michael Penn

Every Right Triangle is Almost Pythagorean

0 rewiews
Explore the concept of "almost Pythagorean" right triangles, uncovering a fascinating mathematical property that extends beyond the classic theorem.
Add to list
1 Lesons
14 minutes
On-Demand
Free-Video
Math TAU

קירובים ושיערוכים מעל יריעות

0 rewiews
למד על קירובים ושיערוכים מעל יריעות מפרופ' ניר שרון, מומחה בתחום. הרצאה מעמיקה המציגה רעיונות מתקדמים במתמטיקה.
Add to list
1 Lesons
55 minutes
On-Demand
Free-Video
Alan Turing Institute

Approximation with Deep Networks - Remi Gribonval, Inria

0 rewiews
Explore deep network approximation, focusing on expressivity, universal properties, sparse networks, and the impact of network architecture and activation functions on performance.
Add to list
22 Lesons
50 minutes
On-Demand
Free-Video
Alan Turing Institute

Neural Networks as Interacting Particle Systems

0 rewiews
Explore neural networks as interacting particle systems, examining their mathematical foundations and applications in complex systems modeling across various scientific disciplines.
Add to list
12 Lesons
43 minutes
On-Demand
Free-Video
Alan Turing Institute

A Function Space View of Overparameterized Neural Networks - Rebecca Willet, University of Chicago

0 rewiews
Explore function spaces of overparameterized neural networks, focusing on weight-bounded networks and their approximation capabilities. Insights from Radon transform analysis reveal novel perspectives on learning with ReLU networks.
Add to list
17 Lesons
35 minutes
On-Demand
Free-Video
Simons Institute

Approximation Power

0 rewiews
Explore deep learning's approximation capabilities, focusing on theoretical foundations and practical implications for neural network design and performance optimization.
Add to list
1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
MITCBMM

Filters and Other Potions for Early Vision and Recognition

0 rewiews
Explore early vision and recognition techniques, including filters, deep networks, and multiscale processing. Learn about spacetime oriented filters and tensor factorization for improved visual analysis.
Add to list
18 Lesons
43 minutes
On-Demand
Free-Video
Fields Institute

Learning, Approximation and Control in Dynamical Systems

0 rewiews
Explore connections between machine learning, approximation theory, and control systems in this symposium talk by Qianxiao Li from the National University of Singapore.
Add to list
1 Lesons
30 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Doubling the Order of Approximation via the Randomized Product Formula in Quantum Computing

0 rewiews
Discover how randomized corrections in Hamiltonian simulation can double error order accuracy from 2k to 4k+1, with practical applications in quantum chemistry using Pauli strings.
Add to list
1 Lesons
25 minutes
On-Demand
Free-Video
Conference GSI

Forward and Inverse Approximation Theory for Linear Temporal Convolutional Networks

0 rewiews
Explore approximation theory for linear temporal convolutional networks, examining forward and inverse approaches to enhance understanding of network behavior and capabilities.
Add to list
1 Lesons
22 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Approximation of Dirac Operators with Delta-Shell Potentials

0 rewiews
Explore approximation of 2D Dirac operators with δ-shell potentials using squeezed potentials. Analyze convergence in norm resolvent sense for specific interaction strengths.
Add to list
1 Lesons
21 minutes
On-Demand
Free-Video
Ryan O'Donnell

Rotation Estimation Gives Clues About L - Quantum Computer Programming Lesson 86

0 rewiews
Explore how Rotation Estimation generates clues about mystery cycle length L through random fractions, aiding quantum computer programming understanding.
Add to list
1 Lesons
17 minutes
On-Demand
Free-Video
HUJI Machine Learning Club

Empirical Challenges to Theories of Deep Learning

0 rewiews
Explore empirical challenges in deep learning theory, examining network representations, non-monotonic training patterns, and complex learning processes through cutting-edge research findings and real-world examples.
Add to list
1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

The Mathematical Universe Behind Deep Neural Networks - Rothschild Lecture

0 rewiews
Explore the mathematical foundations of deep neural networks, covering functional analysis, harmonic analysis, complex analysis, approximation theory, and more with Professor Helmut Bölcskei.
Add to list
1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Learning Operators - Lecture 1

0 rewiews
Explore learning operators in scientific machine learning, covering traditional methods, neural networks, and practical applications for mathematical problem-solving.
Add to list
12 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Finite Neuron Method - Lecture 3

0 rewiews
Explore advanced mathematical concepts in finite neuron methods through an in-depth lecture by Jinchao Xu, focusing on theoretical foundations and practical applications.
Add to list
1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Learning Operators - Lecture 2

0 rewiews
Explore advanced concepts in operator learning, focusing on mathematical techniques and applications in scientific machine learning.
Add to list
1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Finite Neuron Method - Lecture 2

0 rewiews
Explore finite neuron method, covering electrical entropy, curse of dimensionality, neural networks, and approximation properties. Gain insights into deep learning concepts and techniques.
Add to list
14 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Approximating Entropy and Pressure for Multidimensional Shifts of Finite Type

0 rewiews
Explore multidimensional symbolic dynamics and entropy approximation in shifts of finite type with Ronnie Pavlov's advanced mathematical lecture.
Add to list
1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

High-Dimensional Classification with Deep Neural Networks: Decision Boundaries

0 rewiews
Explore high-dimensional classification theory, focusing on decision boundaries, noise, and margin conditions in neural networks, with applications to efficient approximation and learning rates.
Add to list
1 Lesons
45 minutes
On-Demand
Free-Video