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Concepts532

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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 StructureIntermediate

Sparse Table

A Sparse Table is a static range-query data structure that preprocesses an array in O(n \log n) time and answers many queries in O(1) time.

#sparse table#range minimum query#rmq+12
🗂️Data StructureIntermediate

Rollback DSU

Rollback DSU (Disjoint Set Union with undo) lets you union sets and later revert to any previous state in LIFO order.

#rollback dsu
4142434445
#dsu with undo
#union find
+11
🗂️Data StructureIntermediate

DSU with Weighted Edges

A DSU with weighted edges (also called a potential or difference-constraint union-find) maintains relative values between elements while still supporting near-constant-time merges and finds.

#dsu#union-find#weighted edges+11
🗂️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

Policy-Based Data Structures

Policy-Based Data Structures (PBDS) are GNU C++ extensions that add advanced containers like an order-statistics tree, a fast hash table, and ropes for efficient string edits.

#policy based data structures#pbds#ordered set+12
🗂️Data StructureIntermediate

Hash Table

A hash table stores key–value pairs and finds items in expected O(1) time using a hash function to map keys to buckets.

#hash table#unordered_map#unordered_set+12
🗂️Data StructureIntermediate

Ordered Set and Map

std::set and std::map store elements in sorted order using a balanced binary search tree (typically a Red-Black Tree).

#ordered set#ordered map#std::set+12
🗂️Data StructureIntermediate

Priority Queue (Heap)

A priority queue returns the highest-priority element first and is efficiently implemented by a binary heap.

#priority queue#binary heap#min-heap+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

Stack

A stack is a Last-In, First-Out (LIFO) data structure where push, pop, and top operations run in O(1) time.

#stack#lifo#push+12
🗂️Data StructureBeginner

Array and Vector

Arrays and vectors store elements contiguously, giving O(1) random access via index.

#std::vector#dynamic array#reserve+12