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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
📚TheoryIntermediate

Spectral Normalization

Spectral normalization rescales a weight matrix so its largest singular value (spectral norm) is at most a target value, typically 1.

#spectral normalization#spectral norm#singular value+12
📚TheoryIntermediate

Positional Encoding Theory

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

#positional encoding
Advanced
Group:
Fourier Analysis & Signal Processing
#sinusoidal encoding
#transformer
+11
📚TheoryAdvanced

Spectral Convolution on Graphs

Spectral convolution on graphs generalizes the classical notion of convolution using the graph’s Laplacian eigenvectors as “Fourier” basis functions.

#spectral graph theory#graph fourier transform#laplacian eigenvectors+12
∑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#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