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#Nonconvex Optimization

Showing: 35 courses
Instituto de Matemática Pura e Aplicada

The Effect of Parametrization on Nonconvex Optimization Landscapes - Seminar

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Explore the relationship between optimization landscapes in parametrized problems. Gain insights into applications like low-rank matrix optimization, semidefinite programming, and neural network training.
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1 Lesons
54 minutes
On-Demand
Free-Video
IEEE Signal Processing Society

Optimization in Signal Processing and Machine Learning

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Explore optimization in signal processing with Prof. John Wright, covering topics like overcomplete dictionaries, nonconvex optimization, and blind deconvolution.
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22 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

The Effectiveness of Nonconvex Tensor Completion - Fast Convergence and Uncertainty Quantification

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Explores nonconvex optimization for tensor completion, proposing a two-stage algorithm with guaranteed success, linear convergence, and statistical accuracy. Discusses distribution characterization and confidence interval construction.
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16 Lesons
33 minutes
On-Demand
Free-Video
Alan Turing Institute

Optimisation - An Introduction: Professor Coralia Cartis, University of Oxford

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Explore optimization techniques, from basic concepts to advanced methods, covering minimizers, derivatives, quadratic functions, and gradient methods for solving complex mathematical problems.
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16 Lesons
2 hours 31 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Certificates of Nonnegativity and Their Applications in Theoretical Computer Science

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Explore nonnegativity certificates in real algebraic geometry, focusing on sums of squares and sums of nonnegative circuit polynomials, with applications to polynomial optimization and theoretical computer science.
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21 Lesons
58 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

CCCP is Frank-Wolfe in Disguise - Connecting Optimization Methods

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Uncover the surprising connection between CCCP and Frank-Wolfe methods, gaining insights and transferring convergence theory for nonconvex optimization problems.
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1 Lesons
24 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Coordinate Descent Methods Beyond Separability and Smoothness

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Explore advanced coordinate descent methods for complex optimization problems, covering nonseparable and nonsmooth functions, random proximal gradients, and smooth approximations.
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1 Lesons
30 minutes
On-Demand
Free-Video
BIMSA

Geometric Analysis of Phase Retrieval

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Explore geometric analysis of phase retrieval, examining nonconvex heuristics and proving benign geometric structure for efficient signal recovery using iterative optimization methods.
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1 Lesons
52 minutes
On-Demand
Free-Video
Centre for Networked Intelligence, IISc

FedOpt++ - Federation Beyond Uniform Client Selection, Optimization Beyond Simple Minimization

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Delve into advanced federated learning concepts, exploring cyclic client participation patterns and minimax optimization for distributed machine learning applications and theoretical frameworks.
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1 Lesons
59 minutes
On-Demand
Free-Video
USC Probability and Statistics Seminar

Rank Overparameterization and Global Optimality Certification in Low-Rank Matrix Estimation

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Explore rank overparameterization in nonconvex optimization, its impact on spurious local minima, and methods for certifying global optimality in large-scale problems.
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1 Lesons
52 minutes
On-Demand
Free-Video
Simons Institute

On Gradient-Based Optimization - Accelerated, Distributed, Asynchronous and Stochastic

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Explore advanced gradient-based optimization techniques for machine learning, including accelerated, distributed, asynchronous, and stochastic methods, with insights from differential geometry and nonconvex optimization.
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16 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Methods for L_p-L_q Minimization in Image Restoration and Regression - SIAM-IS Seminar

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Explore methods for image restoration and regression using $\ell_p$-$\ell_q$ minimization, covering problem formulation, solution techniques, and applications in this advanced mathematical seminar.
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19 Lesons
1 hour
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Nonconvex Optimization in Matrix Optimization and Distributionally Robust Optimization

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Explore nonconvex optimization in matrix and distributionally robust contexts, covering algorithms, complexity, and applications in machine learning with Stephen Wright.
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14 Lesons
55 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Robust Regression by Purushottam Kar

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Explore robust regression techniques for learning and estimation in algorithms and optimization, focusing on practical applications and theoretical foundations.
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14 Lesons
47 minutes
On-Demand
Free-Video
International Mathematical Union

Evaluation Complexity of Algorithms for Nonconvex Optimization

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Overview of global convergence rates and evaluation complexity for nonconvex smooth optimization methods, comparing steepest descent and Newton's method, and exploring benefits of higher-order regularization algorithms.
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1 Lesons
46 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Stochastic Primal Dual Splitting Algorithms for Convex and Nonconvex Composite Optimization in Imaging

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Explore stochastic primal dual splitting algorithms for convex and nonconvex composite optimization in imaging, focusing on SPDFP and SVRG-PDFP methods and their applications.
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1 Lesons
49 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

On Quantum Speedups for Nonconvex Optimization via Quantum Tunneling Walks

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Explore quantum speedups for nonconvex optimization using quantum tunneling walks, offering advantages over classical algorithms for problems with high, thin barriers between local minima.
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1 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Avoidance of Traps for Nonconvex Stochastic Optimization and Equilibrium Learning in Games

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Explore strategies to overcome challenges in nonconvex stochastic optimization and game theory equilibrium learning, focusing on trap avoidance techniques.
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1 Lesons
25 minutes
On-Demand
Free-Video
Alan Turing Institute

Masterclass for Optimisation - Professor Coralia Cartis, University of Oxford

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Explore advanced optimization techniques for large-scale problems with Professor Coralia Cartis. Learn about algorithm development, analysis, and implementation for various problem classes in numerical optimization.
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1 Lesons
1 hour 53 minutes
On-Demand
Free-Video
Wolfram

Global Optimization in Wolfram Language: Solving Nonlinear and Nonconvex Problems

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Explore advanced global optimization techniques in Wolfram Language for solving complex nonlinear and mixed-integer problems with real-world examples.
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1 Lesons
19 minutes
On-Demand
Free-Video
Wolfram

Wolfram Optimization - Overview and Advanced Techniques

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Explore Wolfram's optimization functions for solving diverse problems, from convex to multidomain, with practical examples and advanced techniques.
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11 Lesons
20 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Proximal Gradient Methods for Nonsmooth Nonconvex Minimax - A Unified Convergence Analysis

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Explore proximal gradient methods for nonsmooth nonconvex minimax problems, analyzing convergence and complexity through a unified framework for parallel and alternating schemes.
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1 Lesons
26 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Nonconvex Optimization and the Curse of Local Minima - Lessons Learned from Orbital Tomography

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Explore nonconvex optimization algorithms, focusing on quality of fixed points in orbital tomography. Gain insights into evaluating algorithm effectiveness beyond convergence speed.
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1 Lesons
24 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Optimization of Functions with Low Effective Dimensionality

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Explore optimization techniques for functions with low effective dimensionality, focusing on random and deterministic subspace methods for nonconvex problems and efficient subspace learning.
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1 Lesons
28 minutes
On-Demand
Free-Video
The Julia Programming Language

Recent Advances in Optimization Solvers within JuliaSmoothOptimizers

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Explore cutting-edge nonlinear optimization solvers in JuliaSmoothOptimizers. Learn about new packages, performance enhancements, and flexible implementations for large-scale problems using high-level linear algebra and automatic differentiation.
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1 Lesons
17 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Nonconvex Stochastic Programs: Chance Constraints

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Explore nonconvex stochastic programs and chance constraints with Jong-Shi Pang, delving into advanced mathematical concepts for optimization under uncertainty.
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1 Lesons
42 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Nonconvex Stochastic Programs - Deterministic Constraints

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Explore nonconvex stochastic programs with deterministic constraints, presented by Jong-Shi Pang from USC. Gain insights into advanced mathematical concepts and their applications.
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1 Lesons
54 minutes
On-Demand
Free-Video
QuICS

Quantum Dynamics for Continuous Optimization - Quantum Hamiltonian Descent

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Explore quantum Hamiltonian descent algorithms for solving complex optimization problems, focusing on practical applications and implementation through the QHDOPT software package.
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1 Lesons
37 minutes
On-Demand
Free-Video
Georgia Tech Research

Inference and Uncertainty Quantification for Noisy Matrix Completion - Lecture 5

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Explore inference and uncertainty quantification for noisy matrix completion, focusing on de-biased estimators and their distributional characterizations for optimal confidence interval construction.
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1 Lesons
51 minutes
On-Demand
Free-Video
Georgia Tech Research

Random Initialization and Implicit Regularization in Nonconvex Statistical Estimation - Lecture 2

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Explore nonconvex optimization in statistical estimation, focusing on gradient descent's convergence to optimal solutions without explicit regularization or careful initialization.
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16 Lesons
48 minutes
On-Demand
Free-Video
Georgia Tech Research

The Power of Nonconvex Optimization in Solving Random Quadratic Systems of Equations - Lecture 1

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Explore nonconvex optimization for solving random quadratic systems, achieving optimal accuracy in linear time. Learn about applications in imaging science and neural networks.
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20 Lesons
56 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Heaviside Composite Optimization and Complementarity Constraints by Progressive Integer Programming

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Explore advanced optimization techniques for Heaviside composite functions and complementarity constraints using the progressive integer programming method.
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1 Lesons
30 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

High-Order Moreau Envelope in the Nonconvex Setting: Framework and Algorithms

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Explore high-order proximal operators and Moreau envelopes in nonconvex optimization, examining properties, algorithms, and convergence analysis for advanced mathematical applications.
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1 Lesons
31 minutes
On-Demand
Free-Video
VinAI

Stochastic Gradient Descent Methods with Biased Estimators

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Explore recent advancements in stochastic gradient descent methods, focusing on biased estimators for large-scale optimization and minimax problems in machine learning applications.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
QuICS

Quantum Speedups for Nonconvex Optimization via Quantum Tunneling Walks

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Explore quantum speedups for nonconvex optimization using quantum tunneling walks. Learn how this approach outperforms classical algorithms in specific landscapes with high, thin barriers between minima.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video