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Everything about Factorization
(Mathematical) decomposition into a product
In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is an integer factorization of 15, and (x − 2)(x + 2) is a polynomial factorization of x2 − 4. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: FactorizationA 5-minute orientation
- Skim a recent paper: EDMF: Efficient Deep Matrix Factorization With Review Feature Learning for Industrial Recommender SystemInfluential work since 2022
- Pick up a classic book: The food of the gods and how it came to earthThe most-reprinted book on the subject
- Read the landmark paper: Learning the parts of objects by non-negative matrix factorizationCited 11,761 times
- Go sideways: Irreducible polynomialA closely related topic
- Go sideways: Polynomial greatest common divisorA closely related topic
📖 Definitions
Noun The process of creating a list of factors.
Noun An expression listing items that, when multiplied together, will produce a desired quantity.
Noun A list of factors.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Learning the parts of objects by non-negative matrix factorization
Matrix Factorization Techniques for Recommender Systems
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
Positive matrix factorization: A non‐negative factor model with optimal utilization of error estimates of data values
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
Smooth stabilization implies coprime factorization
Shape and motion from image streams under orthography: a factorization method
Metagenes and molecular pattern discovery using matrix factorization
🆕 Influential since 2022
EDMF: Efficient Deep Matrix Factorization With Review Feature Learning for Industrial Recommender System
Hyperspectral Unmixing Based on Nonnegative Matrix Factorization: A Comprehensive Review
Symmetric Nonnegative Matrix Factorization-Based Community Detection Models and Their Convergence Analysis
Distribution, risk assessment, and source apportionment of polycyclic aromatic hydrocarbons (PAHs) using positive matrix factorization (PMF) in urban soils of East India
Advancing Non-Negative Latent Factorization of Tensors With Diversified Regularization Schemes
📚 Books worth reading
The food of the gods and how it came to earthH. G. Wells · 1900
NASA/DoD aerospace knowledge diffusion research projectThomas E. Pinelli · 1990
Le suicideÉmile Durkheim · 1850
The worldly philosophersRobert L. Heilbroner · 1953
Ageless body, timeless mindDeepak Chopra · 1993
Comprehensive Natural Products ChemistrySusumu Nishimura, Barton, Derek Sir · 1999
Art of BeingErich Fromm · 1992
Depression In New MothersKathleen A. Kendall-Tackett · 2005
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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