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#Convex Functions

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Institute for Advanced Study

Operator Scaling via Geodesically Convex Optimization, Invariant Theory and Polynomial Identity Testing - Yuanzhi Li

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Explore geodesically convex optimization, invariant theory, and polynomial identity testing in this advanced seminar on operator scaling, featuring key theorems and proofs.
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15 Lesons
1 hour 41 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Curiosities and Counterexamples in Smooth Convex Optimization

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Explore counterexamples and curiosities in smooth convex optimization, focusing on key concepts and unique aspects of this mathematical field.
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1 Lesons
36 minutes
On-Demand
Free-Video
Association for Computing Machinery (ACM)

A Lower Bound for Parallel Submodular Minimization

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Explore lower bounds for parallel submodular minimization, examining adaptive complexity models and exponentially faster algorithms for this optimization problem.
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14 Lesons
22 minutes
On-Demand
Free-Video
International Mathematical Union

Enlargements - A Bridge Between Maximal Monotonicity and Convexity

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Explore connections between maximally monotone operators and convex functions through enlargements, offering insights into variational problems and new distance measures for point-to-set maps.
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13 Lesons
44 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Hajime Ishihara - The Constructive Hahn Banach Theorem, Revisited

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Explores constructive versions of the Hahn-Banach theorem, focusing on separation and extension theorems. Discusses geometric properties, subderivatives, and Gâteaux derivatives in functional analysis.
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24 Lesons
33 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

An Overview on a Young Research Topic - Valuations on Spaces of Functions

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Explore valuations on function spaces, from convex bodies to Lipschitz and convex functions. Learn about recent classifications and advancements in this emerging mathematical field.
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1 Lesons
51 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Geometric Probabilities and Valuation Theory

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Explore applications of geometric valuation theory to probabilities and integral geometry, including Cauchy-Kubota formulas and recent findings for convex functions.
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1 Lesons
38 minutes
On-Demand
Free-Video
NIOS

Non Linear Programming

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Explore advanced optimization techniques including convex, quadratic, separable, geometric, and dynamic programming, as well as search methods and numerical integration.
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21 Lesons
12 hours
On-Demand
Free-Video
Hausdorff Center for Mathematics

Complex Monge-Ampère Operators and Functional Hermitian Intrinsic Volumes

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Explore geometric construction of Monge-Ampère operators on finite convex functions, examining their properties and related valuations as functional versions of Hermitian intrinsic volumes.
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1 Lesons
24 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Recent Advances in Valuations on Function Spaces

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Explore recent developments in valuations on function spaces, focusing on convex and continuous functions, with insights into measure-valued valuations and their classifications.
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1 Lesons
41 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Nonmonotone Forward-Backward Splitting Method for Infinite-Dimensional Optimization Problems

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Explore nonmonotone forward-backward splitting for nonsmooth composite problems in Hilbert spaces, covering convergence analysis, complexity, and numerical experiments.
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1 Lesons
23 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Stochastic Gradient Descent and Machine Learning - Lecture 1

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Explore optimization methods, gradient descent, Newton's method, and convexity in machine learning. Gain insights into iterative algorithms and their applications in statistical physics and data analysis.
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20 Lesons
1 hour 53 minutes
On-Demand
Free-Video
Paul Hand

Gradient Descent and Stochastic Gradient Descent

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Explore gradient descent and stochastic gradient descent in deep neural networks, covering convergence rates, learning rate effects, and challenges in optimization algorithms.
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10 Lesons
57 minutes
On-Demand
Free-Video