{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,21]],"date-time":"2026-07-21T14:30:58Z","timestamp":1784644258372,"version":"3.55.0"},"reference-count":133,"publisher":"Emerald","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,11,4]]},"abstract":"<jats:p>This monograph presents a theoretical background and a broad introduction to the Min-Max Framework for Majorization-Minimization (MM4MM), an algorithmic methodology for solving minimization problems by formulating them as min-max problems and then employing majorization-minimization. The monograph lays out the mathematical basis of the approach used to reformulate a minimization problem as a min-max problem. With the prerequisites covered, including multiple illustrations of the formulations for convex and non-convex functions, this work serves as a guide for developing MM4MM-based algorithms for solving non-convex optimization problems in various areas of signal processing. As special cases, we discuss using the majorization-minimization technique to solve min-max problems encountered in signal processing applications and min-max problems formulated using the Lagrangian. Lastly, we present detailed examples of using MM4MM in ten signal processing applications such as phase retrieval, source localization, independent vector analysis, beamforming and optimal sensor placement in wireless sensor networks. The devised MM4MM algorithms are free of hyper-parameters and enjoy the advantages inherited from the use of the majorization-minimization technique such as monotonicity.<\/jats:p>","DOI":"10.1561\/2000000129","type":"journal-article","created":{"date-parts":[[2024,11,4]],"date-time":"2024-11-04T08:26:47Z","timestamp":1730708807000},"page":"310-389","source":"Crossref","is-referenced-by-count":5,"title":["Min-Max Framework for Majorization-Minimization Algorithms in Signal Processing Applications: An Overview"],"prefix":"10.1108","volume":"18","author":[{"given":"Astha","family":"Saini","sequence":"first","affiliation":[{"name":"1Indian Institute of Technology Delhi ,","place":["India"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Petre","family":"Stoica","sequence":"additional","affiliation":[{"name":"Uppsala University 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unmixing with robust nonnegative matrix factorization,","volume":"24","author":"F\u00e9votte","year":"2015","journal-title":"IEEE Transactions on Image Processing"},{"issue":"9","key":"2026040313322129800_ref042","doi-asserted-by":"crossref","first-page":"2421","DOI":"10.1162\/NECO_a_00168","article-title":"Algorithms for nonnegative matrix factorization with the \u03b2-divergence,","volume":"23","author":"F\u00e9votte","year":"2011","journal-title":"Neural Computation"},{"issue":"12","key":"2026040313322129800_ref043","doi-asserted-by":"crossref","first-page":"2980","DOI":"10.1109\/TIP.2007.909318","article-title":"Majorization-minimization algorithms for wavelet-based image restoration,","volume":"16","author":"Figueiredo","year":"2007","journal-title":"IEEE Transactions on Image Processing"},{"key":"2026040313322129800_ref044","doi-asserted-by":"crossref","first-page":"2633","DOI":"10.1109\/ICIP.2006.313050","article-title":"On total variation denoising: A new majorization-minimization algorithm and an experimental comparison with wavalet denoising,","author":"Figueiredo","year":"2006","journal-title":"2006 International Conference on Image Processing"},{"key":"2026040313322129800_ref045","first-page":"10262","article-title":"Parametric majorization for data-driven energy minimization methods,","author":"Geiping","year":"2019","journal-title":"Proceedings of the IEEE\/CVF International Conference on Computer Vision,"},{"issue":"3","key":"2026040313322129800_ref046","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1109\/34.120331","article-title":"Constrained restoration and the recovery of discontinuities,","volume":"14","author":"Geman","year":"1992","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"7","key":"2026040313322129800_ref047","doi-asserted-by":"crossref","first-page":"932","DOI":"10.1109\/83.392335","article-title":"Nonlinear image recovery with half-quadratic regularization,","volume":"4","author":"Geman","year":"1995","journal-title":"IEEE Transactions on Image Processing"},{"key":"2026040313322129800_ref048","doi-asserted-by":"crossref","first-page":"4903","DOI":"10.1109\/TSP.2020.3018548","article-title":"Majorization-minimization aided hybrid transceivers for MIMO interference channels,","volume":"68","author":"Gong","year":"2020","journal-title":"IEEE Transactions on Signal Processing"},{"key":"2026040313322129800_ref049","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.patcog.2019.03.032","article-title":"On the computation of distribution-free performance bounds: Application to small sample sizes in neuroimaging,","volume":"93","author":"G\u00f3rriz","year":"2019","journal-title":"Pattern Recognition"},{"key":"2026040313322129800_ref050","unstructured":"M.\n              Grant\n             and S.Boyd, CVX: Matlab software for disciplined convex programming, version 2.1, url: http:\/\/cvxr.com\/cvx, 2014."},{"issue":"1","key":"2026040313322129800_ref051","doi-asserted-by":"crossref","first-page":"115","DOI":"10.2140\/pjm.1981.97.115","article-title":"A noncompact minimax theorem,","volume":"97","author":"Ha","year":"1981","journal-title":"Pacific Journal of Mathematics"},{"key":"2026040313322129800_ref052","first-page":"24 855","article-title":"Efficient hierarchical Bayesian inference for spatio-temporal regression models in neuroimaging,","volume":"34","author":"Hashemi","year":"2021","journal-title":"Advances in Neural Information Processing Systems"},{"issue":"5","key":"2026040313322129800_ref053","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1109\/MSP.2019.2900571","article-title":"Dual-function radar communication systems: A solution to the spectrum congestion problem,","volume":"36","author":"Hassanien","year":"2019","journal-title":"IEEE Signal Processing Magazine"},{"issue":"10","key":"2026040313322129800_ref054","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1109\/MAES.2016.150225","article-title":"Signaling strategies for dual-function radar communications: An overview,","volume":"31","author":"Hassanien","year":"2016","journal-title":"IEEE Aerospace and Electronic Systems Magazine"},{"issue":"4","key":"2026040313322129800_ref055","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/0167-9473(87)90057-0","article-title":"Correspondence analysis with least absolute residuals,","volume":"5","author":"Heiser","year":"1987","journal-title":"Computational Statistics & Data Analysis"},{"key":"2026040313322129800_ref056","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1093\/oso\/9780198522850.003.0008","article-title":"Convergent computation by iterative majorization,","author":"Heiser","year":"1995","journal-title":"Recent Advances in Descriptive Multivariate Analysis"},{"key":"2026040313322129800_ref057","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1016\/j.inffus.2019.09.005","article-title":"Multi-view spectral clustering via integrating nonnegative embedding and spectral embedding,","volume":"55","author":"Hu","year":"2020","journal-title":"Information Fusion"},{"issue":"9","key":"2026040313322129800_ref058","doi-asserted-by":"crossref","first-page":"6979","DOI":"10.1109\/TWC.2022.3153606","article-title":"Designing low-PAPR waveform for OFDM-based RadCom systems,","volume":"21","author":"Huang","year":"2022","journal-title":"IEEE Transactions on Wireless Communications"},{"issue":"1","key":"2026040313322129800_ref059","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1198\/0003130042836","article-title":"A tutorial on MM algorithms,","volume":"58","author":"Hunter","year":"2004","journal-title":"The American 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constraint,","author":"Koyama","year":"2021","journal-title":"ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)"},{"issue":"22","key":"2026040313322129800_ref063","first-page":"1","article-title":"A unified framework for structured graph learning via spectral constraints,","volume":"21","author":"Kumar","year":"2020","journal-title":"Journal of Machine Learning Research"},{"key":"2026040313322129800_ref064","article-title":"Structured graph learning via Laplacian spectral constraints,","volume":"32","author":"Kumar","year":"2019","journal-title":"Advances in Neural Information Processing Systems"},{"key":"2026040313322129800_ref065","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1109\/OJCOMS.2021.3063171","article-title":"Channel estimation for reconfigurable intelligent surface aided MISO communications: From LMMSE to deep learning solutions,","volume":"2","author":"Kundu","year":"2021","journal-title":"IEEE Open Journal of the Communications Society"},{"issue":"10","key":"2026040313322129800_ref066","doi-asserted-by":"crossref","first-page":"1430","DOI":"10.1109\/83.465107","article-title":"Globally convergent algorithms for maximum a posteriori transmission tomography,","volume":"4","author":"Lange","year":"1995","journal-title":"IEEE Transactions on Image Processing"},{"key":"2026040313322129800_ref067","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611974409","volume-title":"MM Optimization Algorithms","author":"Lange","year":"2016"},{"issue":"1","key":"2026040313322129800_ref068","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/10618600.2000.10474858","article-title":"Optimization transfer using surrogate objective functions,","volume":"9","author":"Lange","journal-title":"Journal of Computational and Graphical Statistics"},{"issue":"1\u20132","key":"2026040313322129800_ref069","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/s10107-012-0612-1","article-title":"MM algorithms for geometric and signomial programming,","volume":"143","author":"Lange","year":"2014","journal-title":"Mathematical Programming"},{"issue":"3","key":"2026040313322129800_ref070","doi-asserted-by":"crossref","first-page":"983","DOI":"10.1109\/TIP.2011.2168232","article-title":"Hessian-based norm regularization for image restoration with biomedical applications,","volume":"21","author":"Lefkimmiatis","journal-title":"IEEE Transactions on Image Processing"},{"key":"2026040313322129800_ref071","first-page":"19 457","article-title":"Ru-net: Regularized unrolling network for scene graph generation,","author":"Lin","year":"2022","journal-title":"Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition"},{"issue":"1","key":"2026040313322129800_ref072","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1109\/TPAMI.2017.2651816","article-title":"Robust matrix factorization by majorization minimization,","volume":"40","author":"Lin","year":"2018","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"21","key":"2026040313322129800_ref073","doi-asserted-by":"crossref","first-page":"5657","DOI":"10.1109\/TSP.2016.2585096","article-title":"Successive concave sparsity approximation for compressed sensing,","volume":"64","author":"Malek-Mohammadi","year":"2016","journal-title":"IEEE Transactions on Signal Processing"},{"key":"2026040313322129800_ref074","first-page":"755","article-title":"Algorithmic searches for optimal designs,","author":"Mandal","year":"2015","journal-title":"Handbook of Design and Analysis of Experiments"},{"key":"2026040313322129800_ref075","doi-asserted-by":"crossref","first-page":"2356","DOI":"10.1109\/TSP.2020.2983150","article-title":"Majorize\u2013minimize adapted metropolis\u2013hastings algorithm,","volume":"68","author":"Marnissi","year":"2020","journal-title":"IEEE Transactions on Signal Processing"},{"key":"2026040313322129800_ref076","article-title":"Inequalities: Theory of majorization and its applications,","author":"Marshall","year":"1979"},{"key":"2026040313322129800_ref077","doi-asserted-by":"crossref","first-page":"682","DOI":"10.23919\/EUSIPCO55093.2022.9909609","article-title":"Dynamic graph topology learning with non-convex penalties,","author":"Mirzaeifard","year":"2022","journal-title":"2022 30th European Signal Processing Conference (EUSIPCO)"},{"key":"2026040313322129800_ref078","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/j.bspc.2019.01.018","article-title":"ECG denoising algorithm based on group sparsity and singular spectrum analysis,","volume":"50","author":"Mourad","year":"2019","journal-title":"Biomedical Signal Processing and Control"},{"issue":"11","key":"2026040313322129800_ref079","doi-asserted-by":"crossref","first-page":"2909","DOI":"10.1109\/TIM.2017.2734018","article-title":"An antinoise-folding algorithm for the recovery of biomedical signals from noisy measurements,","volume":"66","author":"Muduli","year":"2017","journal-title":"IEEE Transactions on Instrumentation and Measurement"},{"issue":"5","key":"2026040313322129800_ref080","doi-asserted-by":"crossref","first-page":"2862","DOI":"10.1109\/TITS.2020.2976572","article-title":"Deep learning based caching for self-driving cars in multi-access edge computing,","volume":"22","author":"Ndikumana","year":"2021","journal-title":"IEEE Transactions on Intelligent Transportation Systems"},{"key":"2026040313322129800_ref081","first-page":"817","article-title":"Variational inference for policy search in changing situations,","author":"Neumann","year":"2011","journal-title":"Proceedings of the 28th International Conference on International Conference on Machine Learning"},{"issue":"8","key":"2026040313322129800_ref082","doi-asserted-by":"crossref","first-page":"3930","DOI":"10.1109\/TSP.2011.2153848","article-title":"Robust localization of nodes and time-recursive tracking in sensor networks using noisy range measurements,","volume":"59","author":"Oguz-Ekim","year":"2011","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"9","key":"2026040313322129800_ref083","doi-asserted-by":"crossref","first-page":"1683","DOI":"10.1016\/j.sigpro.2009.03.018","article-title":"Adaptive total variation image deblurring: A majorization\u2013 minimization approach,","volume":"89","author":"Oliveira","year":"2009","journal-title":"Signal Processing"},{"key":"2026040313322129800_ref084","first-page":"1","volume-title":"Proceedings of The 2012 Asia Pacific Signal and Information Processing Association Annual Summit and Conference","author":"Ono","year":"2012"},{"issue":"8","key":"2026040313322129800_ref085","doi-asserted-by":"crossref","first-page":"5218","DOI":"10.1109\/TWC.2020.2990766","article-title":"Multicell MIMO communications relying on intelligent reflecting 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optimization,","volume":"23","author":"Razaviyayn","year":"2013","journal-title":"SIAM Journal on Optimization"},{"issue":"3","key":"2026040313322129800_ref089","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1137\/070697835","article-title":"Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization,","volume":"52","author":"Recht","year":"2010","journal-title":"SIAM Review"},{"issue":"1","key":"2026040313322129800_ref090","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1109\/TCI.2018.2880326","article-title":"Regularization by denoising: Clarifications and new interpretations,","volume":"5","author":"Reehorst","year":"2019","journal-title":"IEEE Transactions on Computational Imaging"},{"issue":"8","key":"2026040313322129800_ref091","doi-asserted-by":"crossref","first-page":"2173","DOI":"10.1109\/TSP.2019.2899804","article-title":"Sinusoidal parameter estimation from signed measurements via majorization\u2013minimization based RELAX,","volume":"67","author":"Ren","year":"2019","journal-title":"IEEE Transactions on Signal Processing"},{"key":"2026040313322129800_ref092","doi-asserted-by":"crossref","first-page":"3014","DOI":"10.1109\/TSP.2023.3303639","article-title":"Enhanced graph-learning schemes driven by similar distributions of Motifs,","volume":"71","author":"Rey","year":"2023","journal-title":"IEEE Transactions on Signal Processing"},{"key":"2026040313322129800_ref093","volume-title":"Convex Analysis","author":"Rockafellar","year":"1997"},{"issue":"1\u20134","key":"2026040313322129800_ref094","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","article-title":"Nonlinear total variation based noise removal algorithms,","volume":"60","author":"Rudin","year":"1992","journal-title":"Physica D: Nonlinear Phenomena"},{"key":"2026040313322129800_ref095","doi-asserted-by":"crossref","DOI":"10.1016\/j.spl.2021.109097","article-title":"A new monotonic algorithm for the E-optimal experiment design problem,","volume":"174","author":"Sahu","year":"2021","journal-title":"Statistics & Probability Letters"},{"key":"2026040313322129800_ref096","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TIM.2023.3311058","article-title":"A novel iterative algorithm for outlier robust phase retrieval via majorization minimization technique,","volume":"72","author":"Saini","year":"2023","journal-title":"IEEE Transactions on Instrumentation and Measurement"},{"key":"2026040313322129800_ref097","article-title":"Maximum likelihood method for received signal strength-based source localization,","author":"Saini","year":"2024","journal-title":"IEEE Transactions on Aerospace and Electronic Systems,"},{"key":"2026040313322129800_ref098","doi-asserted-by":"crossref","DOI":"10.1016\/j.sigpro.2020.107707","article-title":"Designing unimodular sequence with good auto-correlation properties via block majorization-minimization method,","volume":"176","author":"Sankuru","year":"2020","journal-title":"Signal Processing"},{"key":"2026040313322129800_ref099","article-title":"Total variation filtering,","author":"Selesnick","year":"2010","journal-title":"White Paper"},{"issue":"10","key":"2026040313322129800_ref100","doi-asserted-by":"crossref","first-page":"2616","DOI":"10.1109\/TSP.2018.2812733","article-title":"Fractional programming for communication systems\u2014part i: Power control and beamforming,","volume":"66","author":"Shen","year":"2018","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"2","key":"2026040313322129800_ref101","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1109\/TMI.1982.4307558","article-title":"Maximum likelihood reconstruction for emission tomography,","volume":"1","author":"Shepp","year":"1982","journal-title":"IEEE Transactions on Medical Imaging"},{"key":"2026040313322129800_ref102","doi-asserted-by":"crossref","first-page":"171","DOI":"10.2140\/pjm.1958.8.171","article-title":"On general minimax theorems,","volume":"8","author":"Sion","year":"1958","journal-title":"Pacific Journal of Mathematics"},{"issue":"8","key":"2026040313322129800_ref103","doi-asserted-by":"crossref","first-page":"4035","DOI":"10.1109\/TSP.2011.2152400","article-title":"Linear least squares approach for accurate received signal strength based source localization,","volume":"59","author":"So","year":"2011","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"15","key":"2026040313322129800_ref104","doi-asserted-by":"crossref","first-page":"3998","DOI":"10.1109\/TSP.2015.2425808","article-title":"Optimization methods for designing sequences with low autocorrelation sidelobes,","volume":"63","author":"Song","year":"2015","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"8","key":"2026040313322129800_ref105","doi-asserted-by":"crossref","first-page":"2051","DOI":"10.1109\/TSP.2015.2510982","article-title":"Sequence design to minimize the weighted integrated and peak sidelobe levels,","volume":"64","author":"Song","year":"2016","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"11","key":"2026040313322129800_ref106","doi-asserted-by":"crossref","first-page":"2866","DOI":"10.1109\/TSP.2016.2535312","article-title":"Sequence set design with good correlation properties via majorization-minimization,","volume":"64","author":"Song","year":"2016","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"7","key":"2026040313322129800_ref107","doi-asserted-by":"crossref","first-page":"1580","DOI":"10.1016\/j.sigpro.2011.11.010","article-title":"SPICE and LIKES: Two hyperparameter-free methods for sparse-parameter estimation,","volume":"92","author":"Stoica","year":"2012","journal-title":"Signal Processing"},{"key":"2026040313322129800_ref108","volume-title":"Spectral Analysis of Signals","author":"Stoica","year":"2005"},{"issue":"19","key":"2026040313322129800_ref109","doi-asserted-by":"crossref","first-page":"5143","DOI":"10.1109\/TSP.2014.2348944","article-title":"Regularized Tyler\u2019s scatter estimator: Existence, uniqueness, and algorithms,","volume":"62","author":"Sun","year":"2014","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"12","key":"2026040313322129800_ref110","doi-asserted-by":"crossref","first-page":"3096","DOI":"10.1109\/TSP.2015.2417513","article-title":"Regularized robust estimation of mean and covariance matrix under heavy-tailed distributions,","volume":"63","author":"Sun","year":"2015","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"14","key":"2026040313322129800_ref111","doi-asserted-by":"crossref","first-page":"3576","DOI":"10.1109\/TSP.2016.2546222","article-title":"Robust estimation of structured covariance matrix for heavy-tailed elliptical distributions,","volume":"64","author":"Sun","year":"2016","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"3","key":"2026040313322129800_ref112","doi-asserted-by":"crossref","first-page":"794","DOI":"10.1109\/TSP.2016.2601299","article-title":"Majorization-minimization algorithms in signal processing, communications, and machine learning,","volume":"65","author":"Sun","year":"2017","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"7","key":"2026040313322129800_ref113","doi-asserted-by":"crossref","first-page":"1592","DOI":"10.1109\/TPAMI.2012.240","article-title":"Automatic relevance determination in nonnegative matrix factorization with the (\u03b2)-divergence,","volume":"35","author":"Tan","year":"2013","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"2026040313322129800_ref114","article-title":"Dual-function beamforming design for multi-target localization and reliable communications,","author":"Tang","year":"2024","journal-title":"IEEE Transactions on Signal Processing,"},{"issue":"14","key":"2026040313322129800_ref115","doi-asserted-by":"crossref","first-page":"3783","DOI":"10.1109\/TSP.2015.2423257","article-title":"Relative entropy-based waveform design for MIMO radar detection in the presence of clutter and interference,","volume":"63","author":"Tang","year":"2015","journal-title":"IEEE Transactions on Signal Processing"},{"key":"2026040313322129800_ref116","doi-asserted-by":"crossref","first-page":"633","DOI":"10.1109\/ISWCS.2008.4726133","volume-title":"2008 IEEE International Symposium on Wireless Communication Systems","author":"Tarrio","year":"2008"},{"key":"2026040313322129800_ref117","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/j.ins.2014.10.050","article-title":"A fractional-order adaptive regularization primal\u2013dual algorithm for image denoising,","volume":"296","author":"Tian","year":"2015","journal-title":"Information Sciences"},{"issue":"8","key":"2026040313322129800_ref118","doi-asserted-by":"crossref","first-page":"1359","DOI":"10.1109\/JPROC.2018.2844126","article-title":"Static and dynamic robust PCA and matrix completion: A review,","volume":"106","author":"Vaswani","journal-title":"Proceedings of the IEEE"},{"issue":"2","key":"2026040313322129800_ref119","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1109\/MSP.2010.939739","article-title":"Subspace Clustering,","volume":"28","author":"Vidal","year":"2011","journal-title":"IEEE Signal Processing Magazine"},{"issue":"2","key":"2026040313322129800_ref120","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1109\/TIT.2017.2756858","article-title":"Solving systems of random quadratic equations via truncated amplitude flow,","volume":"64","author":"Wang","year":"2017","journal-title":"IEEE Transactions on Information 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Transactions on Information Theory"},{"issue":"2","key":"2026040313322129800_ref127","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1109\/TSP.2016.2620113","article-title":"A unified framework for low autocorrelation sequence design via majorization\u2013 minimization,","volume":"65","author":"Zhao","year":"2017","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"16","key":"2026040313322129800_ref128","doi-asserted-by":"crossref","first-page":"4231","DOI":"10.1109\/TSP.2019.2925602","article-title":"Optimization algorithms for graph Laplacian estimation via ADMM and MM,","volume":"67","author":"Zhao","year":"2019","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"15","key":"2026040313322129800_ref129","doi-asserted-by":"crossref","first-page":"3087","DOI":"10.1080\/00949655.2021.1918691","article-title":"A majorization-minimization scheme for \u21132 support vector regression,","volume":"91","author":"Zheng","year":"2021","journal-title":"Journal of Statistical Computation and Simulation"},{"issue":"2","key":"2026040313322129800_ref130","doi-asserted-by":"crossref","first-page":"1938","DOI":"10.1109\/TITS.2023.3324361","article-title":"Visible light communication-enabled simultaneous position and orientation detection for harnessing multipath interference and random fading,","volume":"25","author":"Zhou","year":"2024","journal-title":"IEEE Transactions on Intelligent Transportation Systems"},{"issue":"1","key":"2026040313322129800_ref131","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1137\/22M1516907","article-title":"A majorization-minimization algorithm for neuroimage registration,","volume":"17","author":"Zhou","year":"2024","journal-title":"SIAM Journal on Imaging Sciences"},{"issue":"2","key":"2026040313322129800_ref132","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1080\/10618600.2018.1529601","article-title":"MM algorithms for variance components models,","volume":"28","author":"Zhou","year":"2019","journal-title":"Journal of Computational and Graphical Statistics"},{"issue":"3","key":"2026040313322129800_ref133","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1198\/jcgs.2010.09014","article-title":"MM algorithms for some discrete multivariate distributions,","volume":"19","author":"Zhou","year":"2010","journal-title":"Journal of Computational and Graphical Statistics"}],"container-title":["Foundations and Trends\u00ae in Signal 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