Hypercubes Courses and Certifications

Mathologer

The Iron Man Hyperspace Formula Really Works - Hypercube Visualising, Euler's N-D Polyhedron Formula

Explore higher-dimensional spaces through mathematical miracles, Euler's polyhedron formula, hypercube visualization, and shadow play. Uncover connections to Iron Man and discover the power of (x+2) in geometry.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Mathologer

IMPOSSIBLE - Solving 4D Rubik's Cubes in Physical 3D

Explore the fascinating world of 4D Rubik's cubes through physical 3D models, learning advanced solving techniques and mathematical concepts behind higher-dimensional puzzles.

• YouTube
• 38 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Sensitivity Conjecture: A Proof from the Book and Connections to Physics

Explore the elegant proof of the Sensitivity Conjecture, its implications for theoretical computer science, and connections to physics concepts like Majorana fermions.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

IMSA

Khajuraho's Magic Square and Hypercube Symmetries - General Seminar

Explore the symmetries of Khajuraho's Magic Square, its connection to hypercube movements, and broader implications for magic structures in this intriguing mathematical lecture.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Simons Institute

Monotonicity Testing, Routing, and the Lehman-Ron Theorem on Hypercube Properties

Explore connections between monotonicity testing, routing on hypercubes, and Lehman-Ron theorem. Gain insights into efficient property testers and low-congestion flows on directed hypercubes.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

On the Fourier Weight of F2 Polynomials

Explore Fourier weight of F2 polynomials, focusing on level k and degree d relationships. Gain insights into pseudorandom generators and recent mathematical proofs.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Georgia Tech Research

Projected Power Method: An Efficient Algorithm for Joint Discrete Assignment - Lecture 3

Explore an efficient algorithm for joint discrete assignment using projected power method. Learn about low-complexity procedures, optimization techniques, and statistical models for solving discrete assignment problems.

• YouTube
• 46 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Long Path to √d Monotonicity Testers - Lecture 1

Explore the mathematical journey toward developing square root of d monotonicity testers in this theoretical computer science lecture by C. Seshadhri.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Long Path to √d Monotonicity Testers - Lecture 2

Explore advanced monotonicity testing algorithms and their square root complexity bounds through theoretical analysis and geometric insights.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

BIMSA

Long Cycle in the Percolated Cube

Explore the mathematical proof of a long-standing conjecture about percolated hypercubes, showing they typically contain cycles of length at least (1-ε)2^d when p>C/d.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

USC Probability and Statistics Seminar

Jackson's Inequality on the Hypercube - Polynomial Approximation and Applications

Delve into polynomial approximation theory on n-dimensional hypercubes, exploring threshold power, sensitivity theorems, and applications to Markov-Bernstein inequalities.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Harvard CMSA

Sparse Subgraphs of the D-Cube with Diameter D

Explore mathematical optimization through PatternBoost algorithm to solve complex problems in hypercube diameter preservation and edge deletion in graph theory.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Simons Institute

Robust Gradient Descent - Agnostically Estimating an Unknown Affine Transformation

Polynomial-time algorithm for robust learning of unknown affine transformations in ICA, achieving optimal TV-distance recovery guarantees using Robust Gradient Descent and a new geometric certificate.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Eldan-Gross Inequality - From Boolean Functions to Continuous Spaces

Delve into advanced mathematical concepts exploring the Eldan-Gross inequality, sensitivity of Boolean functions, and heat semigroup analysis through hypercontractivity and isoperimetric approaches.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Slicing All Edges of an N-Cube Requires N^(2/3) Hyperplanes

Explore geometric complexity theory through the analysis of hyperplane dissection in n-cube graphs, examining bounds and theoretical implications for edge-cutting problems.

• YouTube
• 57 minutes
• On-Demand
• Free Video