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How I Study AI - Learn AI Papers & Lectures the Easy Way

Concepts9

Groups

๐Ÿ“Linear Algebra15๐Ÿ“ˆCalculus & Differentiation10๐ŸŽฏOptimization14๐ŸŽฒProbability Theory12๐Ÿ“ŠStatistics for ML9๐Ÿ“กInformation Theory10๐Ÿ”บConvex Optimization7๐Ÿ”ขNumerical Methods6๐Ÿ•ธGraph Theory for Deep Learning6๐Ÿ”ตTopology for ML5๐ŸŒDifferential Geometry6โˆžMeasure Theory & Functional Analysis6๐ŸŽฐRandom Matrix Theory5๐ŸŒŠFourier Analysis & Signal Processing9๐ŸŽฐSampling & Monte Carlo Methods10๐Ÿง Deep Learning Theory12๐Ÿ›ก๏ธRegularization Theory11๐Ÿ‘๏ธAttention & Transformer Theory10๐ŸŽจGenerative Model Theory11๐Ÿ”ฎRepresentation Learning10๐ŸŽฎReinforcement Learning Mathematics9๐Ÿ”„Variational Methods8๐Ÿ“‰Loss Functions & Objectives10โฑ๏ธSequence & Temporal Models8๐Ÿ’ŽGeometric Deep Learning8

Category

๐Ÿ”ทAllโˆ‘Mathโš™๏ธAlgo๐Ÿ—‚๏ธDS๐Ÿ“šTheory

Level

AllBeginnerIntermediate
โˆ‘MathIntermediate

Pseudoinverse (Moore-Penrose)

The Mooreโ€“Penrose pseudoinverse generalizes matrix inversion to rectangular or singular matrices and is denoted Aโบ.

#pseudoinverse#moore-penrose#least squares+12
โš™๏ธAlgorithmIntermediate

Principal Component Analysis (PCA)

Principal Component Analysis (PCA) finds new orthogonal axes (principal components) that capture the maximum variance in your data.

#principal component analysis
Advanced
Filtering by:
#projection
#pca c++
#eigendecomposition
+11
๐Ÿ“šTheoryIntermediate

Implicit Bias of Gradient Descent

In underdetermined linear systems (more variables than equations), gradient descent started at zero converges to the minimum Euclidean norm solution without any explicit regularizer.

#implicit bias#gradient descent#minimum norm+12
โš™๏ธAlgorithmIntermediate

Proximal Operators & Methods

A proximal operator pulls a point x toward minimizing a function f while penalizing how far it moves, acting like a denoiser or projector depending on f.

#proximal operator#ista#fista+12
โˆ‘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
โˆ‘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
โš™๏ธ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
โš™๏ธ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
โš™๏ธ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