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NPTEL
Constrained and Unconstrained Optimization
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Comprehensive exploration of optimization techniques, covering linear and nonlinear programming, integer programming, transportation problems, and multi-objective decision making.
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60
Lesons
1 day 6 hours
On-Demand
Free-Video
Institute for Advanced Study
Physics of Functional Networks - Henrik Ronellenfitsch
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Explore the physics of functional networks, from sound control in mechanical systems to resilient power grids and leaf venation. Discover optimization principles and their applications in engineering and biology.
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24
Lesons
1 hour 17 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network
Julien Tierny - Principal Geodesic Analysis of Merge Trees and Persistence Diagrams
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Computational framework for Principal Geodesic Analysis of merge trees, adapting PCA to Wasserstein metric space. Efficient algorithm for data reduction and dimensionality reduction in topological data analysis.
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1
Lesons
55 minutes
On-Demand
Free-Video
IEEE
Cookbook Lower Bounds for Statistical Inference in Distributed and Constrained Settings - Part 3
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Explore advanced statistical inference techniques for distributed and constrained environments, focusing on lower bound analysis and practical applications in complex data scenarios.
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1
Lesons
1 hour 10 minutes
On-Demand
Free-Video
Professor Leonard
Calculus 3 Lecture - Constrained Optimization with LaGrange Multipliers
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Learn to optimize multivariable functions with constraints using gradients and LaGrange multipliers. Master this powerful calculus technique through clear explanations and challenging examples.
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5
Lesons
59 minutes
On-Demand
Free-Video
Simons Institute
Constrained Optimization on Riemannian Manifolds
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Explore advanced mathematical techniques for solving optimization problems on curved spaces, with applications in machine learning and data analysis.
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1
Lesons
37 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network
Exploiting Geometric Structure in Matrix-Valued Optimization
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Exploring optimization on matrix manifolds, introducing Riemannian Frank-Wolfe methods for constrained problems, and discussing applications in machine learning and mathematics.
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1
Lesons
58 minutes
On-Demand
Free-Video
Simons Institute
Constrained Optimization Over Semirings
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Explore complexity of constraint optimization over semirings, focusing on OptConf problem. Discover complexity results for various semirings and potential for SAT solver-based algorithms.
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1
Lesons
29 minutes
On-Demand
Free-Video
Alan Turing Institute
PECANNs - Physics and Equality Constrained Artificial Neural Networks
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Innovative approach to physics-informed neural networks using constrained optimization, addressing hyperparameter challenges and improving accuracy for scientific applications involving multi-dimensional PDEs.
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1
Lesons
58 minutes
On-Demand
Free-Video
Wolfram
Tame Your Data - Constrained Spline Regression in the Wolfram System
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Explore disciplined convex programming for optimized cubic spline functions with constraints, applying advanced techniques to solve multi-objective optimization problems.
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10
Lesons
30 minutes
On-Demand
Free-Video
NPTEL-NOC IITM
Multivariate Optimization With Equality Constraints
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Learn advanced techniques for solving optimization problems with equality constraints in multivariable calculus, enhancing your mathematical problem-solving skills.
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1
Lesons
31 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)
Pure State V-Representability of Density Matrix Embedding - Augmented Lagrangian
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Explores density matrix embedding theory for quantum systems, proposing an augmented Lagrangian method to improve accuracy by relaxing assumptions and allowing flexible occupation profiles.
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1
Lesons
59 minutes
On-Demand
Free-Video
Pascal Poupart
Trust Region & Proximal Policy Optimization
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Explore trust region methods and proximal policy optimization in reinforcement learning, focusing on policy gradients, KL divergence, and practical implementations like TRPO and PPO.
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13
Lesons
22 minutes
On-Demand
Free-Video
Simons Institute
Decision Diagrams for Efficient Inference and Optimization in Expressive Discrete-Continuous Domains
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Explore extended algebraic decision diagrams (XADDs) for representing piecewise functions, enabling efficient computations and novel solutions in probabilistic inference, optimization, and decision-making.
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1
Lesons
45 minutes
On-Demand
Free-Video
EuroPython Conference
Solving Multi-Objective Constrained Optimisation Problems Using Pymoo
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Explore Pymoo, an open-source Python framework for solving complex optimization problems with multiple objectives and constraints, featuring state-of-the-art algorithms and post-performance analysis tools.
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1
Lesons
44 minutes
On-Demand
Free-Video
Confreaks
Simulated Annealing: The Most Metal Algorithm Ever - Lecture
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Explore simulated annealing algorithm for near-optimal solutions in constrained optimization problems, inspired by metallurgy and applicable to Ruby apps.
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13
Lesons
28 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Stochastic Algorithms for Constrained Continuous Optimization
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Explore stochastic-gradient-based algorithms for constrained continuous optimization, focusing on interior-point and sequential-quadratic-programming methods with convergence guarantees and practical applications.
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1
Lesons
29 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
A Fresh Look at Algorithms for Solving Smooth Multiobjective Optimization Problems
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Explore new algorithms for smooth multiobjective optimization using linear programming to find decreasing directions, applicable to various constraint types and yielding substationary points.
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1
Lesons
24 minutes
On-Demand
Free-Video
VinAI
Functional Gradient Descent Methods for Optimization and Sampling
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Explore advanced gradient descent techniques for complex optimization and sampling problems in machine learning, including Stein variational gradient descent and neural architecture optimization.
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1
Lesons
1 hour 3 minutes
On-Demand
Free-Video
Broad Institute
Modeling Genotype to Phenotype: A Search for Natural Objects of Selection
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Explore evolutionary dynamics through metabolism as a genotype-phenotype map, examining how collective modes in phenotype space serve as natural selection objects rather than individual genes.
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1
Lesons
1 hour 42 minutes
On-Demand
Free-Video
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