Spectral Decomposition Courses and Certifications

Discover AI

Mixture of Expert MoE - Spectral Decomposition in Orthogonal Subspaces

Discover breakthrough SD-MoE architecture using spectral decomposition for superior expert specialization, addressing why current MoE models underperform against proprietary LLMs.

• YouTube
• 18 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Spectral Decomposition of Atomic Structures in Heterogeneous Cryo-EM

Innovative approach to recover 3D atomic structures of flexible macromolecules from cryo-EM data, combining biological knowledge with spectral analysis to estimate conformational variations.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Fields Institute

Residual Dynamic Mode Decomposition- Rigorous Data-Driven Computation of Spectral Properties of Koopman Operators for Dynamical Systems

Explore rigorous data-driven methods for computing spectral properties of Koopman operators in dynamical systems, focusing on Residual Dynamic Mode Decomposition and its applications.

• YouTube
• 57 minutes
• On-Demand
• Free Video

IMSA

Restricted Geometric Langlands as a Common Denominator

Explore the unifying framework of restricted geometric Langlands correspondence, connecting various contexts and its relation to classical Langlands conjecture via categorical trace.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IMSA

Geometric Langlands in Its Various Contexts

Explore geometric Langlands correspondence, its contexts, and related conjectures. Unify different perspectives through restricted Langlands correspondence and its relation to classical theory.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Michael Baake - A Cocycle Approach to the Fourier Transform of Rauzy Fractals

Explore Fourier transforms of Rauzy fractals and their role in analyzing spectra of Pisot inflation tilings, with applications to diffraction theory and dynamical systems.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Fields Institute

Eigenvalue Gaps and Continuous Walks

Explore eigenvalue gaps, continuous walks, and perfect state transfer in algebraic graph theory, with applications to quantum information and oriented graphs.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Joint Mathematics Meetings

Mathematical Frameworks for Signal and Image Analysis - Diffusion Methods in Manifold and Fibre Bundle Learning

Explore advanced mathematical techniques for signal and image analysis, focusing on diffusion methods in manifold and fiber bundle learning with renowned mathematician Ingrid Daubechies.

• YouTube
• 53 minutes
• On-Demand
• Conference Talk

MICDE University of Michigan

A Closed-Form Mathematical Framework for Modeling Turbulent Fluids

Explore a groundbreaking mathematical framework for turbulent fluid motion, covering energy spectra, instability mechanisms, and analytical solutions for turbulence in confined spaces.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Operator-Theoretic Approaches to Feature Extraction and Statistical Modeling of Climate Dynamics

Discover operator-theoretic methods for climate dynamics analysis, featuring kernel approaches to extract El Niño patterns and model atmospheric systems with spectral decomposition techniques.

• YouTube
• 51 minutes
• On-Demand
• Free Video

statisticsmatt

Matrices

Explore advanced matrix concepts including Kronecker product, spectral decomposition, singular value decomposition, and projection matrices, with applications in statistics and linear algebra.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Video

Agreenium

Chimiometrie chapitre 1/2 : les méthodes non supervisées

Ce premier chapitre est consacré aux méthodes non supervisées : ACP, classifications, décomposition spectrale, multitableaux.

• France Université Numerique
• 50 hours
• On-Demand
• Free Online Course

GERAD Research Center

Large Network-Coupled Mean Field Games and Associated Network Centralities

Explore large-scale linear quadratic stochastic games with network couplings, examining graphon mean field game models, Nash equilibrium characterization, and low-complexity solution methods.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Переходные процессы в электрических цепях

Изучение электромагнитной индукции, колебаний в цепях и переходных процессов. Развитие навыков решения задач по электродинамике и колебательным системам.

• Coursera
• 6 weeks
• Finished
• Free Online Course (Audit)