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Model Perspective
Model Perspective
Dec 10, 2024 · Fundamentals

5 Surprising Mathematical Models That Shape Our World

This article introduces five powerful yet often overlooked mathematical models—Lotka‑Volterra, PageRank, SIR, Nash equilibrium, and random walk—explaining their core formulas and real‑life applications from ecology to finance and internet search.

Lotka-VolterraPageRankSIR model
0 likes · 7 min read
5 Surprising Mathematical Models That Shape Our World
Model Perspective
Model Perspective
Sep 24, 2023 · Fundamentals

Innovative Mathematical Modeling Techniques to Supercharge Your Problem Solving

This article explores why innovative mathematical modeling matters, presents multi‑angle thinking, new mathematical tools, interdisciplinary integration, and practical tips such as open mindset, extensive reading, simulation, teamwork, and continuous learning, illustrated with classic examples like Google’s PageRank algorithm.

InterdisciplinaryPageRankinnovation
0 likes · 6 min read
Innovative Mathematical Modeling Techniques to Supercharge Your Problem Solving
Model Perspective
Model Perspective
Nov 1, 2022 · Fundamentals

How Markov Chains Can Rank Sports Teams: A Simple Voting Model

This article explains a Markov‑based scoring method for ranking sports teams, treating each match as a vote where weaker teams award points to stronger ones, and shows how to construct a stochastic matrix, handle dangling nodes, compute the steady‑state vector, and derive final rankings, analogous to Google’s PageRank.

AlgorithmMarkov ChainsPageRank
0 likes · 8 min read
How Markov Chains Can Rank Sports Teams: A Simple Voting Model
Youzan Coder
Youzan Coder
Oct 24, 2022 · Artificial Intelligence

Knowledge Base Retrieval Matching: Algorithm and Engineering Service Practice

The article outlines a comprehensive knowledge‑base retrieval matching solution—combining PageRank‑enhanced DSL rewriting, keyword and dual‑tower vector recall, contrastive fine‑ranking, and optimized vector‑based ranking—implemented via offline DP training and Sunfish online inference on Milvus, with applications in enterprise search and recommendations and future plans for graph‑neural embeddings.

InfoNCEMilvusNLP
0 likes · 12 min read
Knowledge Base Retrieval Matching: Algorithm and Engineering Service Practice
Architect
Architect
Feb 3, 2016 · Fundamentals

The Mathematics Behind Google’s PageRank Algorithm

This article explains how Google’s PageRank algorithm uses the web’s link structure, Markov processes, and stochastic matrix adjustments—including damping factor α—to overcome ranking challenges and provide a mathematically sound method for ordering search results.

AlgorithmGoogleMarkov Chain
0 likes · 21 min read
The Mathematics Behind Google’s PageRank Algorithm
Baidu Tech Salon
Baidu Tech Salon
Jan 12, 2015 · Artificial Intelligence

Boolean Algebra and Search Engine Technology

The article outlines how search engines combine the Tao of underlying principles—crawling, binary‑based Boolean indexing, PageRank matrix calculations, and TF‑IDF weighting—with specific Shu implementations to efficiently retrieve, rank, and present relevant web pages using Boolean logic, link analysis, and term relevance metrics.

AlgorithmIndexingPageRank
0 likes · 7 min read
Boolean Algebra and Search Engine Technology