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Concepts6

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📐Linear Algebra15📈Calculus & Differentiation10🎯Optimization14🎲Probability Theory12📊Statistics for ML9📡Information Theory10🔺Convex Optimization7🔢Numerical Methods6🕸Graph Theory for Deep Learning6🔵Topology for ML5🌐Differential Geometry6∞Measure Theory & Functional Analysis6🎰Random Matrix Theory5🌊Fourier Analysis & Signal Processing9🎰Sampling & Monte Carlo Methods10🧠Deep Learning Theory12🛡️Regularization Theory11👁️Attention & Transformer Theory10🎨Generative Model Theory11🔮Representation Learning10🎮Reinforcement Learning Mathematics9🔄Variational Methods8📉Loss Functions & Objectives10⏱️Sequence & Temporal Models8💎Geometric Deep Learning8

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🔷All∑Math⚙️Algo🗂️DS📚Theory

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∑MathIntermediate

Convex Sets & Functions

A set is convex if every line segment between any two of its points lies entirely inside the set.

#convex set#convex function#convex hull+11
⚙️AlgorithmAdvanced

Voronoi Diagram and Delaunay

Voronoi diagrams partition the plane so each region contains points closest to one site, while the Delaunay triangulation connects sites whose Voronoi cells touch.

#voronoi diagram
Advanced
Filtering by:
#convex hull
#delaunay triangulation
#fortune algorithm
+12
⚙️AlgorithmAdvanced

Minkowski Sum

The Minkowski sum A ⊕ B adds every point of set A to every point of set B, and for convex polygons it can be computed in O(n + m) by merging edge directions.

#minkowski sum#convex polygon#edge merge+12
⚙️AlgorithmIntermediate

Rotating Calipers

Rotating calipers is a geometric two-pointer technique that sweeps two (or more) parallel support lines around a convex polygon.

#rotating calipers#antipodal pairs#convex hull+12
⚙️AlgorithmIntermediate

Convex Hull

The convex hull is the smallest convex polygon that contains all given points, like a rubber band snapped around nails on a board.

#convex hull#graham scan#monotone chain+12
⚙️AlgorithmIntermediate

Orientation and CCW

Orientation (CCW test) tells whether three points make a left turn, right turn, or are collinear by using the sign of a 2D cross product.

#orientation#ccw#cross product+12