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An introduction to Majorization‐Minimization algorithms for machine learning and statistical estimation

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Finite Mixture Models
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Discriminant Analysis and Statistical Pattern Recognition
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The EM Algorithm and Extensions, 2E
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Modern Applied Statistics with S
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Pattern Recognition and Machine Learning
inferredcites →https://doi.org/10.1007/978-0-387-77242-4openalex-snapshot
Support Vector Machines
inferredcites →https://doi.org/10.1007/978-1-4419-9569-8_10openalex-snapshot
Proximal Splitting Methods in Signal Processing
inferredcites →https://doi.org/10.1007/978-1-4614-5838-8openalex-snapshot
Optimization
inferredcites →https://doi.org/10.1007/978-3-540-73170-2_4openalex-snapshot
Support Vector Machine
inferredcites →https://doi.org/10.1007/bf00048682openalex-snapshot
Multinomial logistic regression algorithm
inferredcites →https://doi.org/10.1007/bf00049423openalex-snapshot
Monotonicity of quadratic-approximation algorithms
inferredcites →https://doi.org/10.1007/bf00994018openalex-snapshot
Support-Vector Networks
inferredcites →https://doi.org/10.1007/bf01897167openalex-snapshot
A maximum likelihood methodology for clusterwise linear regression
inferredcites →https://doi.org/10.1007/s10107-012-0612-1openalex-snapshot
MM algorithms for geometric and signomial programming
inferredcites →https://doi.org/10.1007/s10107-013-0697-1openalex-snapshot
Distance majorization and its applications
inferredcites →https://doi.org/10.1007/s11634-015-0209-7openalex-snapshot
Maximum likelihood estimation of Gaussian mixture models without matrix operations
inferredcites →https://doi.org/10.1016/j.csda.2009.01.002openalex-snapshot
Sharp quadratic majorization in one dimension
inferredcites →https://doi.org/10.1016/j.csda.2012.05.018openalex-snapshot
EM vs MM: A case study
inferredcites →https://doi.org/10.1016/j.csda.2014.10.016openalex-snapshot
Laplace mixture of linear experts
inferredcites →https://doi.org/10.1016/j.csda.2014.11.005openalex-snapshot
A new MM algorithm for constrained estimation in the proportional hazards model
inferredcites →https://doi.org/10.1016/j.csda.2016.04.003openalex-snapshot
Maximum likelihood estimation of triangular and polygonal distributions
inferredcites →https://doi.org/10.1016/j.spl.2015.11.006openalex-snapshot
Laplace mixture autoregressive models
inferredcites →https://doi.org/10.1023/a:1009715923555openalex-snapshot
A Tutorial on Support Vector Machines for Pattern Recognition
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Learning the parts of objects by non-negative matrix factorization
inferredcites →https://doi.org/10.1080/00401706.1999.10485951openalex-snapshot
Statistical Learning Theory
inferredcites →https://doi.org/10.1080/01621459.1972.10482378openalex-snapshot
A New Approach to Estimating Switching Regressions
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Optimization Transfer Using Surrogate Objective Functions
inferredcites →https://doi.org/10.1080/10618600.2000.10474862openalex-snapshot
Discussion
inferredcites →https://doi.org/10.1080/10618600.2000.10474866openalex-snapshot
Quantile Regression via an MM Algorithm
inferredcites →https://doi.org/10.1080/10618600.2016.1154063openalex-snapshot
Regression Models for Multivariate Count Data
inferredcites →https://doi.org/10.1093/biomet/71.1.1openalex-snapshot
On the Existence of Maximum Likelihood Estimates in Logistic Regression Models
inferredcites →https://doi.org/10.1093/oso/9780198522850.003.0008openalex-snapshot
Convergent Computation by Iterative Majorization: Theory and Applications in Multidimensional Data Analysis
inferredcites →https://doi.org/10.1109/42.232263openalex-snapshot
On the relation between the ISRA and the EM algorithm for positron emission tomography
inferredcites →https://doi.org/10.1109/72.950134openalex-snapshot
Weighted least squares training of support vector classifiers leading to compact and adaptive schemes
inferredcites →https://doi.org/10.1109/lsp.2016.2586180openalex-snapshot
A Block Minorization–Maximization Algorithm for Heteroscedastic Regression
inferredcites →https://doi.org/10.1109/msp.2015.2481563openalex-snapshot
A Unified Algorithmic Framework for Block-Structured Optimization Involving Big Data: With applications in machine learning and signal processing
inferredcites →https://doi.org/10.1109/ssp.2014.6884624openalex-snapshot
Asymptotic inference for hidden process regression models
inferredcites →https://doi.org/10.1111/j.1467-842x.1992.tb01356.xopenalex-snapshot
FITTING FINITE MIXTURE MODELS IN A REGRESSION CONTEXT
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THE USE OF MULTIPLE MEASUREMENTS IN TAXONOMIC PROBLEMS
inferredcites →https://doi.org/10.1111/j.1541-0420.2011.01652.xopenalex-snapshot
High‐Dimensional Heteroscedastic Regression with an Application to eQTL Data Analysis
inferredcites →https://doi.org/10.1111/j.2517-6161.1977.tb01600.xopenalex-snapshot
Maximum Likelihood from Incomplete Data Via the EM Algorithm
inferredcites →https://doi.org/10.1111/stan.12093openalex-snapshot
Spatial clustering of time series via mixture of autoregressions models and Markov random fields
inferredcites →https://doi.org/10.1137/1.9781611974409openalex-snapshot
MM Optimization Algorithms
inferredcites →https://doi.org/10.1137/120891009openalex-snapshot
A Unified Convergence Analysis of Block Successive Minimization Methods for Nonsmooth Optimization
inferredcites →https://doi.org/10.1137/140957639openalex-snapshot
Incremental Majorization-Minimization Optimization with Application to Large-Scale Machine Learning
inferredcites →https://doi.org/10.1146/annurev-statistics-022513-115638openalex-snapshot
Next-Generation Statistical Genetics: Modeling, Penalization, and Optimization in High-Dimensional Data
inferredcites →https://doi.org/10.1162/08997660360581958openalex-snapshot
The Concave-Convex Procedure
inferredcites →https://doi.org/10.1162/neco_a_00813openalex-snapshot
A Block Successive Lower-Bound Maximization Algorithm for the Maximum Pseudo-Likelihood Estimation of Fully Visible Boltzmann Machines
inferredcites →https://doi.org/10.1177/096228029700600104openalex-snapshot
EM algorithms without missing data
inferredcites →https://doi.org/10.1198/0003130042836openalex-snapshot
A Tutorial on MM Algorithms
inferredcites →https://doi.org/10.1198/jasa.2004.s354openalex-snapshot
Advanced Calculus with Applications in Statistics
inferredcites →https://doi.org/10.1198/jcgs.2010.09014openalex-snapshot
MM Algorithms for Some Discrete Multivariate Distributions
inferredcites →https://doi.org/10.1214/009053605000000200openalex-snapshot
Variable selection using MM algorithms
inferredcites →https://doi.org/10.1214/08-sts264openalex-snapshot
The MM Alternative to EM
inferredcites →https://doi.org/10.1214/10-sts336openalex-snapshot
Graphics Processing Units and High-Dimensional Optimization
inferredcites →https://doi.org/10.1214/aos/1079120141openalex-snapshot
MM algorithms for generalized Bradley-Terry models
inferredcites →https://doi.org/10.18637/jss.v028.i04openalex-snapshot
FlexMix Version 2: Finite Mixtures with Concomitant Variables and Varying and Constant Parameters
inferredcites →https://doi.org/10.18637/jss.v032.i06openalex-snapshot
mixtools : An R Package for Analyzing Finite Mixture Models
inferredcites →https://doi.org/10.2307/2554459openalex-snapshot
Advanced Econometrics.
inferredcites →https://doi.org/10.32614/r.manualsopenalex-snapshot
R: A Language and Environment for Statistical Computing
inferredcites →https://doi.org/10.4169/amer.math.monthly.121.02.095openalex-snapshot
A Look at the Generalized Heron Problem through the Lens of Majorization-Minimization
inferredcites →https://doi.org/10.5555/1756006.1859931openalex-snapshot
Spectral Regularization Algorithms for Learning Large Incomplete Matrices

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Nonconvex Optimization via MM Algorithms: Convergence Theory
inferred← citeshttps://doi.org/10.1002/widm.1205openalex-snapshot
An introduction to MM algorithms for machine learning and statistical estimation
inferred← citeshttps://doi.org/10.1002/widm.1246openalex-snapshot
Practical and theoretical aspects of mixture‐of‐experts modeling: An overview
inferred← citeshttps://doi.org/10.1002/widm.1298openalex-snapshot
Model‐based clustering and classification of functional data
inferred← citeshttps://doi.org/10.1007/978-3-031-12366-5_9openalex-snapshot
Efficient Estimation of the Additive Risks Model for Interval-Censored Data
inferred← citeshttps://doi.org/10.1007/978-981-15-2770-8_6openalex-snapshot
Machine Learning
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A multinomial canonical decomposition model, with emphasis on the analysis of multivariate binary data
inferred← citeshttps://doi.org/10.1007/s10044-022-01094-zopenalex-snapshot
A novel minorization–maximization framework for simultaneous feature selection and clustering of high-dimensional count data
inferred← citeshttps://doi.org/10.1007/s11222-026-10960-3openalex-snapshot
Fast robust additive models using gamma-divergence
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Sparse constrained and unconstrained non-symmetric correspondence analysis
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The fully visible Boltzmann machine and the Senate of the 45th Australian Parliament in 2016
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Fast quantile regression in reproducing kernel Hilbert space
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Application of total variation denoising in nuclear power plant signal pre-processing
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A majorization-minimization scheme forL2support vector regression
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Raman Spectral Signal Processing of Dissolved Gases in Transformer Oil Based on Compound Sparse Derivative Modeling
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Adaptive Target Detection in Gaussian Clutter Edges
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The Inverse Problem of Positive Autoconvolution
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BoltzMM: an R package for maximum pseudolikelihood estimation of fully-visible Boltzmann machines
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A New Composite Dissimilarity Measure for Planar Curves Based on Higher-Order Derivatives
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Μοdel selectiοn and apprοximatiοn in high-dimensiοnal mixtures οf experts mοdels : from theory to practice
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