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Concepts9

Groups

📐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

Category

🔷All∑Math⚙️Algo🗂️DS📚Theory

Level

AllBeginnerIntermediate
∑MathIntermediate

Positional Encoding Mathematics

Sinusoidal positional encoding represents each token’s position using pairs of sine and cosine waves at exponentially spaced frequencies.

#positional encoding#sinusoidal#transformer+11
📚TheoryIntermediate

Multi-Head Attention

Multi-Head Attention runs several attention mechanisms in parallel so each head can focus on different relationships in the data.

#multi-head attention
Advanced
Filtering by:
#dot product
#scaled dot-product attention
#transformer
+12
∑MathIntermediate

Gradient & Directional Derivatives

The gradient \(\nabla f\) points in the direction of steepest increase of a scalar field and its length equals the maximum rate of increase.

#gradient#directional derivative#partial derivative+12
∑MathIntermediate

Inner Products & Norms

An inner product measures how much two vectors point in the same direction; in R^n it is the dot product.

#inner product#dot product#norm+12
∑MathIntermediate

Vectors & Vector Spaces

A vector is an element you can add and scale, and a vector space is any collection of such elements closed under these operations.

#vector space#basis#span+12
⚙️AlgorithmAdvanced

3D Geometry Basics

3D geometry relies on a small toolkit: vectors, dot products, cross products, and planes; mastering these unlocks most 3D problem-solving.

#3d geometry#dot product#cross product+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

Basic Geometry - Lines and Segments

A line can be represented by two points, a point with a direction vector, or the general form ax + by + c = 0, and these forms are interconvertible.

#line intersection#segment intersection#orientation test+12
⚙️AlgorithmIntermediate

Basic Geometry - Points and Vectors

A 2D point can be treated as a vector from the origin, so vector math (addition, scaling, dot, cross) applies directly to points.

#geometry#vector#dot product+11