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#Convexity

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Hausdorff Center for Mathematics

Robin Havea- On the Boundary of the Numerical Range

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Explore challenges in constructive mathematics regarding the boundary and border of the numerical range, focusing on convexity analysis and its implications in various settings.
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17 Lesons
28 minutes
On-Demand
Free-Video
International Mathematical Union

Ronen Eldan- Revealing the Simplicity of High-Dimensional Objects via Pathwise Analysis

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Explore high-dimensional geometry through pathwise analysis, revealing simple structures in complex spaces and their applications in probability theory and statistical physics.
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16 Lesons
45 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Robust Risk Measures with Silvana Pesenti

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Explore distributionally robust risk measures, worst-case distortion for Wasserstein uncertainty sets, and dynamic robust risk measures in portfolio optimization with Silvana Pesenti.
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1 Lesons
53 minutes
On-Demand
Free-Video
GERAD Research Center

The Role of Convexity in Data-Driven Decision-Making

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Explore data-driven decision-making through distributionally robust optimization, focusing on computation, statistics, and real-time implementation aspects. Gain insights into online optimization applications.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Jürgen Jost - Geometry and Topology of Data

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Explore geometric and topological approaches to data analysis, focusing on ball intersections, curvature concepts, and convexity in metric spaces.
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17 Lesons
50 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Chad Giusti - Topology, Convexity, and Neural Networks

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Explore topology in neuroscience, focusing on receptive fields, neuron convexity, and geometric features. Discover connections between neural networks and mathematical concepts.
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20 Lesons
45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids

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Explores semi-Lagrangian discretisation of Monge-Ampère operator on P1 finite element spaces, discussing challenges and solutions for numerical methods in solving Monge-Ampère equations, with applications in inverse reflector problems.
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20 Lesons
46 minutes
On-Demand
Free-Video
Fields Institute

Monotonicity, Convexity, and Realization of Noncommutative Functions

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Explore noncommutative functions, focusing on monotonicity, convexity, and realization. Delve into classical representations and modern approaches in matrix analysis and functional calculus.
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27 Lesons
49 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Two Mathematicians, Their Work and Career Experiences - Radhika Ganapathy and Purvi Gupta

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Explore cyclotomic fields in number theory and convexity in complex analysis through lectures by two accomplished mathematicians, offering insights into their research and career experiences.
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1 Lesons
2 hours 53 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
Western Hemisphere Virtual Symplectic Seminar

Monotone Twist Maps and Dowker-Type Theorems

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Explore geometric inequalities in billiard systems, connecting Dowker's theorems to Mather's β-function and deriving new insights for various billiard types.
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1 Lesons
1 hour
On-Demand
Free-Video
The Julia Programming Language

GeoCombSurfX - Exploring Properties of Polygonal Complexes

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Explore polygonal complexes, analyze combinatoric and geometric properties, and tackle interlocking problems using Julia's ecosystem. Learn about future developments in algebraic analysis and 3D embeddings.
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1 Lesons
24 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Interplay Between Notions of Convexity in Complex, Symplectic and Contact Geometries

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Explore the interplay between convexity notions in complex, symplectic, and contact geometries. Gain insights into pseudo-convexity, rational convexity, and their geometric counterparts.
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32 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Ghost Polygons, Poisson Bracket and Convexity in Anosov Representations

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Explore Anosov representations, length functions, and Poisson brackets in moduli spaces. Discover combinatorial techniques and their applications to convexity in character varieties.
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1 Lesons
59 minutes
On-Demand
Free-Video
BIMSA

Two Geometric Applications of the Linear Algebra Method

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Explore geometric applications of linear algebra with János Pach, covering discrete geometry, convexity, and combinatorics in this research seminar.
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1 Lesons
1 hour
On-Demand
Free-Video
BIMSA

Partial Differential Equations and Convexity

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Explore elliptic PDEs, convexity preservation, and surprising cases of convexity breaking in evolution equations like porous medium and Stefan problem.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Institute

Optimization Crash Course

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Explore geometric methods in optimization and sampling, covering key topics like convexity, optimality, and gradient descent with expert insights from MIT's Ashia Wilson.
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12 Lesons
42 minutes
On-Demand
Free-Video
ICTP-SAIFR

Phase Coexistence, Interface Tension and Convexity of Thermodynamic Potentials

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Explore phase coexistence, interface tension, and thermodynamic potential convexity in condensed matter theory with expert insights from IFUSP.
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1 Lesons
29 minutes
On-Demand
Free-Video
UofU Data Science

Data Influence: Understanding Influence Functions and Efficiency in Machine Learning

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Delve into advanced mathematical concepts of data influence, exploring influence functions, efficiency, and convexity through theoretical frameworks and practical applications in data science.
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8 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Quantum Shannon Theory - Rothschild Lecture

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Explore quantum Shannon theory, examining channel capacities, coding theorems, and entropic quantities in quantum information science. Delve into mathematical challenges and open problems in the field.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Convexity, Duality and Heat Diffusion

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Explore the intricate relationship between log-concavity, duality, and Gaussian diffusions in mathematical analysis, focusing on the Blaschke-Santalo inequality and Legendre transforms.
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1 Lesons
53 minutes
On-Demand
Free-Video