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Concepts7

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
⚙️AlgorithmIntermediate

Z-Function

The Z-function of a string S computes for each position i the length of the longest substring starting at i that matches the prefix of S.

#z-function#z algorithm#string matching+12
⚙️AlgorithmIntermediate

KMP Algorithm

The KMP algorithm finds all occurrences of a pattern in a text in O(n + m) time by never re-checking characters that are already known to match or mismatch.

#kmp algorithm
Advanced
Filtering by:
#linear time
#prefix function
#failure function
+12
⚙️AlgorithmIntermediate

Manacher's Algorithm

Manacher's algorithm finds the length of the longest palindrome centered at every position in a string in linear time O(n).

#manacher's algorithm#palindromic substring#longest palindromic substring+11
⚙️AlgorithmIntermediate

Tree DP - Matching and Covering

Tree DP solves matching, vertex cover, and independent set on trees in linear time using small state transitions per node.

#tree dp#maximum matching#vertex cover+12
⚙️AlgorithmIntermediate

2-SAT

2-SAT solves Boolean formulas where every clause has exactly two literals, and it is solvable in linear time relative to the size of the implication graph.

#2-sat#implication graph#strongly connected components+12
⚙️AlgorithmIntermediate

Two Pointers

Two pointers is a pattern where two indices move through a sequence in a coordinated, usually monotonic way to avoid unnecessary work.

#two pointers#sliding window#opposite ends+12
🗂️Data StructureIntermediate

Monotonic Deque

A monotonic deque is a double-ended queue that keeps elements in increasing or decreasing order so that the front always holds the current optimum (min or max).

#monotonic deque#sliding window maximum#sliding window minimum+12