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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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🔷All∑Math⚙️Algo🗂️DS📚Theory

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⚙️AlgorithmIntermediate

Minimum Spanning Tree - Prim

Prim's algorithm builds a Minimum Spanning Tree (MST) by growing a tree from an arbitrary start vertex, always adding the lightest edge that connects the tree to a new vertex.

#prim#minimum spanning tree#mst+12
⚙️AlgorithmIntermediate

Minimum Spanning Tree - Kruskal

Kruskal’s algorithm builds a minimum spanning tree (MST) by sorting all edges by weight and greedily picking the next lightest edge that does not form a cycle.

#kruskal
3738394041
#minimum spanning tree
#mst
+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
⚙️AlgorithmAdvanced

Johnson's Algorithm

Johnson's Algorithm computes all-pairs shortest paths on sparse graphs by first removing negative edges via reweighting, then running Dijkstra from every vertex.

#johnson's algorithm#all pairs shortest paths#apsp+12
⚙️AlgorithmIntermediate

Dijkstra's Algorithm

Dijkstra's algorithm finds shortest path distances from one source to all vertices when all edge weights are non-negative.

#dijkstra#shortest path#greedy+11
⚙️AlgorithmIntermediate

Bellman-Ford Algorithm

Bellman–Ford finds single-source shortest paths even when some edge weights are negative.

#bellman-ford#single-source shortest paths#negative weights+12
⚙️AlgorithmIntermediate

Dijkstra - Variations and Applications

Dijkstra’s algorithm can be adapted to track the second shortest path by keeping the best and second-best distances per vertex.

#dijkstra#second shortest path#k shortest paths+12
⚙️AlgorithmIntermediate

Topological Sort - DP on DAG

Topological sort orders vertices of a directed acyclic graph (DAG) so every edge goes from earlier to later, which is perfect for dynamic programming (DP).

#topological sort#dag dp#longest path dag+12
⚙️AlgorithmIntermediate

Breadth-First Search (BFS)

Breadth-First Search (BFS) explores a graph level by level, visiting all vertices at distance d from the source before any at distance d+1.

#bfs#breadth first search#graph traversal+12
⚙️AlgorithmIntermediate

DFS - Tree and Graph Properties

Depth-First Search (DFS) assigns each vertex a discovery time and a finish time that capture a neat nesting structure of recursion.

#dfs#timestamps#discovery time+11
⚙️AlgorithmIntermediate

Topological Sort

Topological sort orders the nodes of a directed acyclic graph (DAG) so every edge points from left to right in the order.

#topological sort#kahn algorithm#dfs topological order+12
⚙️AlgorithmIntermediate

Multi-Source BFS

Multi-source BFS explores an unweighted graph starting from several sources at once to compute the minimum distance to any source for every vertex.

#multi-source bfs#graph algorithms#shortest path+11