Convex Optimization III - Sebastien Bubeck - Microsoft Research
Explore advanced concepts in convex optimization, including gradient oracles, minimax principles, and efficient algorithms for solving complex optimization problems.
Digital Circuits Boolean Algebra
Learn Boolean algebra fundamentals and digital circuit simplification techniques, including key rules and operations for efficient logic design and analysis.
Digital Circuits Number Systems
Learn about number systems in digital circuits, including decimal, binary, and hexadecimal conversions. Explore power representations and practical examples for a solid foundation in digital logic.
Kernel Methods for Causal Inference
Explore kernel ridge regression for causal inference, covering dose responses, treatment effects, and extensions to various settings. Learn about consistency, efficiency, and robustness in estimation.
Causality and Autoencoders in Light of Drug Repurposing for COVID-19
Explore causal inference and autoencoders in drug repurposing for COVID-19, covering observational data, causality hierarchy, and predicting interventions with Caroline Uhler from MIT.
Recent Development in Selective Inference II
Explore advanced selective inference techniques, including randomized approaches, computational challenges, and approximate methods for statistical analysis in adaptive data settings.
Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians
Explore quantum algorithms for simulating real-time evolution of lattice Hamiltonians, covering previous work, results, and advanced concepts in quantum computation.
Recent Progress in High-Dimensional Learning
Explore recent advancements in high-dimensional learning, covering robust estimation, maximum likelihood, and algorithmic approaches for handling noise and adversarial scenarios.
Remarks on the Discrete Cube
Explore probability theory on the discrete cube, covering Fourier analysis, Poisson inequality, and random walks, with applications in high-dimensional geometry and computation.
How Did Fibonacci Beat the Solitaire Army?
Explore Fibonacci's mathematical strategy to defeat the Solitaire army, featuring life-and-death mathematics, triangles of death, and captivating animations.
The Miracle
Explore the fascinating 3-4-7 mathematical miracle, including coin rotation paradox, mystery number explanation, and angle sum in stars. Includes challenges and bonus animations.
Secret of Row 10 - A New Visual Key to Ancient Pascalian Puzzles
Explore hidden patterns in Pascal's triangle and snail shells through a visual key, featuring Sierpinski's triangle and modular arithmetic in this fascinating mathematical journey.
Power Sum Master Class - How to Sum Quadrillions of Powers by Hand
Explore power sums, from basic arithmetic to advanced Euler-Maclaurin formula. Learn Bernoulli numbers, animated proofs, and historical mathematical discoveries in this comprehensive masterclass.
Years of Not Teaching the Cubic Formula - What Is It They Think You Can't Handle?
Uncover the mystery behind the cubic formula's absence from education, exploring its history, derivation methods, and surprising mathematical connections.
Epicycles, Complex Fourier Series and Homer Simpson's Orbit
Explore the mathematics of epicycles, complex Fourier series, and their applications in creating intricate drawings, including a surprising look at the Moon's orbit around the Sun.
The Golden Ratio Spiral - Visual Infinite Descent
Explore number-associated spirals, infinite descent proofs, and continued fractions. Debunk golden ratio myths while gaining insights into number properties through visual representations.
Pi Is Irrational - Animation of a Gorgeous Proof
Explore a visually stunning animation of Lambert's proof of pi's irrationality, delving into infinite fractions and mathematical concepts in an engaging, accessible manner.
Liouville's Number, the Easiest Transcendental and Its Clones
Explore Liouville's number, its transcendental nature, and a unique proof of its transcendence. Discover how to create paradoxical clones of real numbers using this fascinating mathematical concept.
Sex and Marriage Theorems
Explore mathematical theorems on stable marriages and debunk sex statistics myths. Discover how mathematicians can earn Nobel-like recognition through innovative problem-solving.
The Mathematical Soul of Juggling
Explore the fascinating mathematical principles behind juggling patterns, analyzing techniques and uncovering the hidden complexities of this captivating art form.
The Parity of Permutations and the Futurama Theorem
Explore the mathematical concepts of permutations, parity, and the Futurama theorem through an engaging analysis of mind-switching scenarios and shuffling patterns.