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#High Dimensional Geometry

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Hausdorff Center for Mathematics

Sparsifying Suprema of Gaussian Processes

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Explore a 49-minute lecture on approximating the supremum of centered Gaussian processes using finite-dimensional Gaussian processes. Delve into the proof that shows how the approximation's dimension depends solely on the target error. Discover the corol…
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1 Lesons
49 minutes
On-Demand
Free-Video
Institute for Advanced Study

The Ramsey Numbers - New Results and New Perspectives

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Explore fundamental Ramsey numbers in combinatorics, recent advancements, and connections to high-dimensional random variable geometry with Julian Sahasrabudhe.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Size of Line Intersections in High Dimensional L_p-Balls and Product Measures

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Explore high-dimensional geometry with Bo'az Klartag as he discusses line intersections in L_p-balls and product measures, examining the isodiametric inequality and its implications.
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1 Lesons
26 minutes
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Free-Video
Hausdorff Center for Mathematics

Facets of High Dimensional Random Polytopes

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Explore asymptotic behavior of high-dimensional random polytopes, analyzing facets and their geometric properties as dimensions and data points increase, revealing insights into spherical approximations and tessellations.
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1 Lesons
30 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 4

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
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1 Lesons
38 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4, Part 3

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3, Part 3

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3, Part 4

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3 Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3 Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 3

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 4

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
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1 Lesons
36 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
46 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 3

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 4

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
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1 Lesons
44 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 2

0 rewiews
Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag in this advanced mathematics lecture.
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1 Lesons
59 minutes
On-Demand
Free-Video
Math TAU

גופים קמורים במימדים גבוהים

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חקור גופים קמורים במימדים גבוהים עם שירי ארטשטיין. גלה תובנות מתקדמות בגיאומטריה ואנליזה פונקציונלית בהרצאה מרתקת זו מאוניברסיטת תל אביב.
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1 Lesons
59 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Persi Diaconis: Haar-Distributed Random Matrices - In Memory of Elizabeth Meckes

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Explore Haar measure on compact groups, high-dimensional geometry, and quantum chaos through the lens of Elizabeth Meckes' groundbreaking work and recent developments in the field.
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9 Lesons
36 minutes
On-Demand
Free-Video
Data Science Conference

The Geometry of Intelligence in Large Question-Answering Systems

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Explore the architectural principles behind large-scale QA systems, focusing on vector representations of natural language and practical implementation through the yottaanswers.com platform.
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1 Lesons
26 minutes
On-Demand
Free-Video
Data Science Conference

Towards the Universal Law of Robustness for Deep Neural Networks

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Explore fundamental developments in neural network robustness, focusing on overparametrized models and the BLN Conjecture through geometric visualization and practical applications.
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1 Lesons
28 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

High-Dimensional Convexity: Testing, Learning, and Complexity

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Explore the fascinating parallels between high-dimensional convex sets and monotone Boolean functions, examining algorithmic structures and mathematical complexities in Gaussian space.
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1 Lesons
49 minutes
On-Demand
Free-Video