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

Concepts356

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
📚TheoryIntermediate

Positional Encoding Theory

Transformers are permutation-invariant by default, so they need positional encodings to understand word order in sequences.

#positional encoding#sinusoidal encoding#transformer+11
∑MathIntermediate

Wavelet Transform

The wavelet transform splits a signal into “coarse” trends and “fine” details at multiple scales, like zooming in and out with a smart magnifying glass.

#wavelet transform
678910
Advanced
#haar wavelet
#multiresolution analysis
+12
⚙️AlgorithmIntermediate

Short-Time Fourier Transform (STFT)

The Short-Time Fourier Transform (STFT) breaks a signal into small overlapping windows and computes a Fourier transform on each window to reveal how frequencies evolve over time.

#stft#short-time fourier transform#spectrogram+12
∑MathIntermediate

Convolution Theorem

The Convolution Theorem says that convolving two signals in time (or space) equals multiplying their spectra in the frequency domain.

#convolution theorem#fft#dft+12
⚙️AlgorithmIntermediate

Discrete Fourier Transform (DFT) & FFT

The Discrete Fourier Transform (DFT) converts a length-N sequence from the time (or spatial) domain into N complex frequency coefficients that describe how much of each sinusoid is present.

#dft#fft#cooley-tukey+12
∑MathIntermediate

Fourier Transform

The Fourier Transform converts a signal from the time domain into the frequency domain, revealing which sine and cosine waves (frequencies) make up the signal.

#fourier transform#fft#dft+12
∑MathIntermediate

Fourier Series

A Fourier series rewrites any reasonable periodic function as a weighted sum of sines and cosines (or complex exponentials).

#fourier series#harmonics#fourier coefficients+12
📚TheoryIntermediate

Universal Approximation Theorems

The Universal Approximation Theorems say that a neural network with at least one hidden layer and a suitable activation can approximate any continuous function on a compact domain as closely as you like.

#universal approximation theorem#cybenko#hornik+12
∑MathIntermediate

Riemannian Metrics & Geometry

A Riemannian metric assigns an inner product to each tangent space, giving you a way to measure lengths and angles on curved spaces (manifolds).

#riemannian metric#metric tensor#christoffel symbols+12
📚TheoryIntermediate

Topological Data Analysis (TDA)

Topological Data Analysis (TDA) studies the shape of data using tools from algebraic topology, producing summaries like Betti numbers, barcodes, and persistence diagrams.

#topological data analysis#persistent homology#vietoris–rips complex+12
∑MathIntermediate

Random Walks on Graphs

A random walk on a graph moves from a node to one of its neighbors chosen uniformly at random at each step.

#random walk#transition matrix#stationary distribution+11
📚TheoryIntermediate

Graph Isomorphism & WL Test

Graph isomorphism asks whether two graphs are the same up to renaming vertices; the Weisfeiler–Leman (WL) test is a powerful heuristic that often distinguishes non-isomorphic graphs quickly.

#weisfeiler-leman#color refinement#graph isomorphism+10