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Concepts25

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

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

Bitmask DP

Bitmask DP compresses the state of a subset of n elements into an integer mask, enabling elegant dynamic programming over all subsets.

#bitmask dp
123
Advanced
Filtering by:
#dynamic programming
#subset dp
#held-karp
+12
⚙️AlgorithmIntermediate

Longest Common Subsequence

The Longest Common Subsequence (LCS) between two sequences is the longest sequence that appears in both, not necessarily contiguously.

#longest common subsequence#lcs#string dp+12
⚙️AlgorithmIntermediate

Bitmask DP - Subset Enumeration

Bitmask DP subset enumeration lets you iterate all submasks of a given mask using the idiom for (s = mask; s > 0; s = (s - 1) & mask).

#bitmask#submask enumeration#superset enumeration+11
⚙️AlgorithmIntermediate

DP on Trees

DP on trees is a technique that computes answers for each node by combining results from its children using a post-order DFS.

#tree dp#post-order dfs#rerooting+12
⚙️AlgorithmIntermediate

Edit Distance

Edit distance (Levenshtein distance) measures the minimum number of inserts, deletes, and replaces needed to turn one string into another.

#edit distance#levenshtein#dynamic programming+11
⚙️AlgorithmIntermediate

Longest Increasing Subsequence

The Longest Increasing Subsequence (LIS) is the longest sequence you can extract from an array while keeping the original order and making each next element strictly larger.

#longest increasing subsequence#lis#dynamic programming+12
⚙️AlgorithmIntermediate

Knapsack Problems

Knapsack problems ask how to pick items under a weight (or cost) limit to maximize value or to check if a target sum is reachable.

#0/1 knapsack#unbounded knapsack#bounded knapsack+12
⚙️AlgorithmIntermediate

Coin Change and Variants

Coin Change uses dynamic programming to find either the minimum number of coins to reach a target or the number of ways to reach it.

#coin change#dynamic programming#unbounded knapsack+12
⚙️AlgorithmIntermediate

Dynamic Programming Fundamentals

Dynamic programming (DP) solves complex problems by breaking them into overlapping subproblems and using their optimal substructure.

#dynamic programming#memoization#tabulation+12
⚙️AlgorithmIntermediate

DP State Design

Dynamic Programming (DP) state design is the art of choosing what information to remember so that optimal substructure can be reused efficiently.

#dynamic programming#dp state#bitmask dp+11
⚙️AlgorithmIntermediate

Floyd-Warshall Algorithm

Floyd–Warshall computes the shortest distances between all pairs of vertices in O(n^3) time using dynamic programming.

#floyd-warshall#all pairs shortest path#apsp+12