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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

Group Theory for Neural Networks

Group theory gives a precise language for symmetries, and neural networks can exploit these symmetries to learn faster and generalize better.

#group theory#neural networks#equivariance+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
Advanced
Filtering by:
#fft
#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
⚙️AlgorithmAdvanced

Polynomial Operations

Fast polynomial operations treat coefficients like numbers but use FFT/NTT to multiply in O(n \log n) time instead of O(n^2).

#polynomial#ntt#fft+12
⚙️AlgorithmAdvanced

Convolution Applications

Convolution turns local pairwise combinations (like matching characters or adding two dice) into a single fast transform–multiply–inverse pipeline.

#convolution#fft#ntt+12
⚙️AlgorithmAdvanced

FFT (Fast Fourier Transform)

FFT converts a polynomial from coefficients to values at the n-th roots of unity in O(n log n) time, enabling fast multiplication via pointwise products.

#fft#polynomial multiplication#convolution+11