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Concepts18

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📐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

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🗂️Data StructureAdvanced

Link-Cut Tree

A Link-Cut Tree (LCT) maintains a dynamic forest and supports link, cut, and path queries in O(log n) amortized time.

#link-cut tree#dynamic tree#splay tree+12
🗂️Data StructureAdvanced

Segment Tree Beats

Segment Tree Beats is a segment tree variant that supports range chmin/chmax (clamping) together with queries like range sum, min, and max in amortized logarithmic time.

#segment tree beats
12
Advanced
Filtering by:
#amortized analysis
#range chmin
#range chmax
+12
🗂️Data StructureIntermediate

Disjoint Set Union (Union-Find)

Disjoint Set Union (Union-Find) maintains a collection of non-overlapping sets and supports fast merging and membership queries.

#disjoint set union#union-find#path compression+11
🗂️Data StructureIntermediate

Queue and Deque

A queue is a First-In-First-Out (FIFO) line where you add at the back and remove from the front in O(1) time.

#queue#deque#fifo+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
🗂️Data StructureIntermediate

Monotonic Stack

A monotonic stack is a stack that keeps its elements in increasing or decreasing order to answer range queries in linear time.

#monotonic stack#next greater element#previous smaller element+12