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Sparse PCA with Multiple Components [PDF]
Operations ResearchSparse PCA with Multiple Components As the dimension of data sets increases, analysts often rely on principal component analysis (PCA) to summarize data via a small number of informative principal components (PCs). Sparse PCA makes those directions easier to interpret by using only selected variables, but computing several sparse ...Ryan Cory-Wright, Jean Pauphiletopenaire +3 more sourcesPerforming Sparse Regularization and Dimension Reduction Simultaneously in Multimodal Data Fusion
Frontiers in Neuroscience, 2019 Collecting multiple modalities of neuroimaging data on the same subject is increasingly becoming the norm in clinical practice and research. Fusing multiple modalities to find related patterns is a challenge in neuroimaging analysis.Zhengshi Yang, Xiaowei Zhuang, Christopher Bird, Karthik Sreenivasan, Virendra Mishra, Sarah Banks, Dietmar Cordes, Dietmar Cordes, the Alzheimer's Disease Neuroimaging Initiative, Michael W. Weiner, Paul Aisen, Michael Weiner, Paul Aisen, Ronald Petersen, Clifford R. Jack, William Jagust, John Q. Trojanowki, Arthur W. Toga, Laurel Beckett, Robert C. Green, Andrew J. Saykin, John Morris, Leslie M. Shaw, Zaven Khachaturian, Greg Sorensen, Maria Carrillo, Lew Kuller, Marc Raichle, Steven Paul, Peter Davies, Howard Fillit, Franz Hefti, David Holtzman, M. Marcel Mesulam, William Potter, Peter Snyder, Adam Schwartz, Robert C. Green, Tom Montine, Ronald Petersen, Paul Aisen, Ronald G. Thomas, Michael Donohue, Sarah Walter, Devon Gessert, Tamie Sather, Gus Jiminez, Archana B. Balasubramanian, Jennifer Mason, Iris Sim, Laurel Beckett, Danielle Harvey, Michael Donohue, Clifford R. Jack, Matthew Bernstein, Nick Fox, Paul Thompson, Norbert Schuff, Charles DeCArli, Bret Borowski, Jeff Gunter, Matt Senjem, Prashanthi Vemuri, David Jones, Kejal Kantarci, Chad Ward, William Jagust, Robert A. Koeppe, Norm Foster, Eric M. Reiman, Kewei Chen, Chet Mathis, Susan Landau, John C. Morris, Nigel J. Cairns, Erin Franklin, Lisa Taylor-Reinwald, Leslie M. Shaw, John Q. Trojanowki, Virginia Lee, Magdalena Korecka, Michal Figurski, Arthur W. Toga, Karen Crawford, Scott Neu, Andrew J. Saykin, Tatiana M. Foroud, Steven Potkin, Li Shen, Kelley Faber, Sungeun Kim, Kwangsik Nho, Michael W. Weiner, Lean Thal, Zaven Khachaturian, Leon Thal, Neil Buckholtz, Michael W. Weiner, Peter J. Snyder, William Potter, Steven Paul, Marilyn Albert, Richard Frank, Zaven Khachaturian, John Hsiao, Jeffrey Kaye, Joseph Quinn, Lisa Silbert, Betty Lind, Raina Carter, Sara Dolen, Lon S. Schneider, Sonia Pawluczyk, Mauricio Becerra, Liberty Teodoro, Bryan M. Spann, James Brewer, Helen Vanderswag, Adam Fleisher, Judith L. Heidebrink, Joanne L. Lord, Ronald Petersen, Sara S. Mason, Colleen S. Albers, David Knopman, Kris Johnson, Rachelle S. Doody, Javier Villanueva-Meyer, Valory Pavlik, Victoria Shibley, Munir Chowdhury, Susan Rountree, Mimi Dang, Yaakov Stern, Lawrence S. Honig, Karen L. Bell, Beau Ances, John C. Morris, Maria Carroll, Mary L. Creech, Erin Franklin, Mark A. Mintun, Stacy Schneider, Angela Oliver, Daniel Marson, David Geldmacher, Marissa Natelson Love, Randall Griffith, David Clark, John Brockington, Erik Roberson, Hillel Grossman, Effie Mitsis, Raj C. Shah, Leyla deToledo-Morrell, Ranjan Duara, Maria T. Greig-Custo, Warren Barker, Marilyn Albert, Chiadi Onyike, Daniel D'Agostino, Stephanie Kielb, Martin Sadowski, Mohammed O. Sheikh, Ulysse Anaztasia, Gaikwad Mrunalini, P. Murali Doraiswamy, Jeffrey R. Petrella, Salvador Borges-Neto, Terence Z. Wong, Edward Coleman, Steven E. Arnold, Jason H. Karlawish, David A. Wolk, Christopher M. Clark, Charles D. Smith, Greg Jicha, Peter Hardy, Partha Sinha, Elizabeth Oates, Gary Conrad, Oscar L. Lopez, MaryAnn Oakley, Donna M. Simpson, Anton P. Porsteinsson, Bonnie S. Goldstein, Kim Martin, Kelly M. Makino, M. Saleem Ismail, Connie Brand, Steven G. Potkin, Adrian Preda, Dana Nguyen, Kyle Womack, Dana Mathews, Mary Quiceno, Allan I. Levey, James J. Lah, Janet S. Cellar, Jeffrey M. Burns, Russell H. Swerdlow, William M. Brooks, Liana Apostolova, Kathleen Tingus, Ellen Woo, Daniel H.S. Silverman, Po H. Lu, George Bartzokis, Neill R Graff-Radford, Francine Parfitt, Kim Poki-Walker, Martin R. Farlow, Ann Marie Hake, Brandy R. Matthews, Jared R. Brosch, Scott Herring, Christopher H. van Dyck, Richard E. Carson, Martha G. MacAvoy, Pradeep Varma, Howard Chertkow, Howard Bergman, Chris Hosein, Sandra Black, Bojana Stefanovic, Curtis Caldwell, Ging-Yuek Robin Hsiung, Benita Mudge, Vesna Sossi, Howard Feldman, Michele Assaly, Elizabeth Finger, Stephen Pasternack, Irina Rachisky, Dick Trost, Andrew Kertesz, Charles Bernick, Donna Munic, Marek-Marsel Mesulam, Emily Rogalski, Kristine Lipowski, Sandra Weintraub, Borna Bonakdarpour, Diana Kerwin, Chuang-Kuo Wu, Nancy Johnson, Carl Sadowsky, Teresa Villena, Raymond Scott Turner, Kathleen Johnson, Brigid Reynolds, Reisa A. Sperling, Keith A. Johnson, Gad Marshall, Jerome Yesavage, Joy L. Taylor, Barton Lane, Allyson Rosen, Jared Tinklenberg, Marwan N. Sabbagh, Christine M. Belden, Sandra A. Jacobson, Sherye A. Sirrel, Neil Kowall, Ronald Killiany, Andrew E. Budson, Alexander Norbash, Patricia Lynn Johnson, Thomas O. Obisesan, Saba Wolday, Joanne Allard, Alan Lerner, Paula Ogrocki, Curtis Tatsuoka, Parianne Fatica, Evan Fletcher, Pauline Maillard, John Olichney, Charles DeCarli, Owen Carmichael, Smita Kittur, Michael Borrie, T-Y Lee, Rob Bartha, Sterling Johnson, Sanjay Asthana, Cynthia M. Carlsson, Steven G. Potkin, Adrian Preda, Dana Nguyen, Pierre Tariot, Anna Burke, Ann Marie Milliken, Nadira Trncic, Adam Fleisher, Stephanie Reeder, Vernice Bates, Horacio Capote, Michelle Rainka, Douglas W. Scharre, Maria Kataki, Brendan Kelley, Earl A. Zimmerman, Dzintra Celmins, Alice D. Brown, Godfrey D. Pearlson, Karen Blank, Karen Anderson, Laura A. Flashman, Marc Seltzer, Mary L. Hynes, Robert B. Santulli, Kaycee M. Sink, Gordineer Leslie, Jeff D. Williamson, Pradeep Garg, Franklin Watkins, Brian R. Ott, Geoffrey Tremont, Lori A. Daiello, Stephen Salloway, Paul Malloy, Stephen Correia, Howard J. Rosen, Bruce L. Miller, David Perry, Jacobo Mintzer, Kenneth Spicer, David Bachman, Elizabeth Finger, Stephen Pasternak, Irina Rachinsky, John Rogers, Andrew Kertesz, Dick Drost, Nunzio Pomara, Raymundo Hernando, Antero Sarrael, Susan K. Schultz, Karen Ekstam Smith, Hristina Koleva, Ki Won Nam, Hyungsub Shim, Norman Relkin, Gloria Chiang, Michael Lin, Lisa Ravdin, Amanda Smith, Balebail Ashok Raj, Kristin Fargher, Michael W. Weiner, Paul Aisen, Michael Weiner, Paul Aisen, Ronald Petersen, Robert C. Green, Danielle Harvey, Clifford R. Jack, William Jagust, John C. Morris, Andrew J. Saykin, Leslie M. Shaw, Arthur W. Toga, John Q. Trojanowki, Thomas Neylan, Jordan Grafman, Robert C. Green, Tom Montine, Michael Weiner, Ronald Petersen, Paul Aisen, Ronald G. Thomas, Michael Donohue, Gessert Devon, Tamie Sather, Davis Melissa, Rosemary Morrison, Gus Jiminez, Thomas Neylan, Hayes Jacqueline, Finley Shannon, Danielle Harvey, Michael Donohue, Clifford R. Jack, Matthew Bernstein, Bret Borowski, Jeff Gunter, Matt Senjem, Kantarci Kejal, Ward Chad, William Jagust, Robert A. Koeppe, Norm Foster, Eric M. Reiman, Kewei Chen, Susan Landau, John C. Morris, Nigel J. Cairns, Erin Householder, Leslie M. Shaw, John Q. Trojanowki, Virginia Lee, Magdalena Korecka, Michal Figurski, Arthur W. Toga, Crawford Karen, Neu Scott, Andrew J. Saykin, Tatiana M. Foroud, Steven Potkin, Li Shen, Kelley Faber, Sungeun Kim, Kwangsik Nho, Michael W. Weiner, Friedl Karl, Lon S. Schneider, Sonia Pawluczyk, Becerra Mauricio, James Brewer, Helen Vanderswag, Yaakov Stern, Lawrence S. Honig, Karen L. Bell, Debra Fleischman, Konstantinos Arfanakis, Raj C. Shah, Ranjan Duara, Daniel Varon, Maria T Greig, P. Murali Doraiswamy, Jeffrey R. Petrella, Olga James, Anton P. Porsteinsson, Bonnie Goldstein, Kimberly S. Martin, Steven G. Potkin, Adrian Preda, Dana Nguyen, Jacobo Mintzer, Dino Massoglia, Olga Brawman-Mintzer, Carl Sadowsky, Walter Martinez, Teresa Villena, William Jagust, Susan Landau, Howard Rosen, David Perry, Raymond Scott Turner, Kelly Behan, Brigid Reynolds, Reisa A. Sperling, Keith A. Johnson, Gad Marshall, Marwan N. Sabbagh, Sandra A. Jacobson, Sherye A. Sirrel, Thomas O. Obisesan, Saba Wolday, Joanne Allard, Sterling C. Johnson, J. Jay Fruehling, Sandra Harding, Elaine R. Peskind, Eric C. Petrie, Gail Li, Jerome A. Yesavage, Joy L. Taylor, Ansgar J. Furst, Steven Chao, Norman Relkin, Gloria Chiang, Lisa Ravdin, Lisa Ravdin, Scott Mackin, Paul Aisen, Rema Raman, Scott Mackin, Michael Weiner, Paul Aisen, Rema Raman, Clifford R. Jack, Susan Landau, Andrew J. Saykin, Arthur W. Toga, Charles DeCarli, Robert A. Koeppe, Robert C. Green, Erin Drake, Michael Weiner, Paul Aisen, Rema Raman, Mike Donohue, Gustavo Jimenez, Devon Gessert, Kelly Harless, Jennifer Salazar, Yuliana Cabrera, Sarah Walter, Lindsey Hergesheimer, Elizabeth Shaffer, Scott Mackin, Craig Nelson, David Bickford, Meryl Butters, Michelle Zmuda, Clifford R. Jack, Matthew Bernstein, Bret Borowski, Jeff Gunter, Matt Senjem, Kejal Kantarci, Chad Ward, Denise Reyes, Robert A. Koeppe, Susan Landau, Arthur W. Toga, Karen Crawford, Scott Neu, Andrew J. Saykin, Tatiana M. Foroud, Kelley M. Faber, Kwangsik Nho, Kelly N. Nudelman, Scott Mackin, Howard Rosen, Craig Nelson, David Bickford, Yiu Ho Au, Kelly Scherer, Daniel Catalinotto, Samuel Stark, Elise Ong, Dariella Fernandez, Meryl Butters, Michelle Zmuda, Oscar L. Lopez, MaryAnn Oakley, Donna M. Simpson +539 moredoaj +1 more sourceA Randomized Rounding Algorithm for Sparse PCA [PDF]
ACM Transactions on Knowledge Discovery from Data, 2017 We present and analyze a simple, two-step algorithm to approximate the optimal solution of the sparse PCA problem. In the proposed approach, we first solve an ℓ 1 -penalized version of the NP-hard sparse PCA optimization problem and then we use a randomized rounding strategy to sparsify the resulting dense solution. Kimon Fountoulakis, Abhisek Kundu, Eugenia-Maria Kontopoulou, Petros Drineas +3 moreopenaire +4 more sourcesA Survey on Nonconvex Regularization-Based Sparse and Low-Rank Recovery in Signal Processing, Statistics, and Machine Learning
IEEE Access, 2018 In the past decade, sparse and low-rank recovery has drawn much attention in many areas such as signal/image processing, statistics, bioinformatics, and machine learning.Fei Wen, Lei Chu, Peilin Liu, Robert C. Qiu +3 moredoaj +1 more sourceNP-hardness and inapproximability of sparse PCA [PDF]
Information Processing Letters, 2017 We give a reduction from {\sc clique} to establish that sparse PCA is NP-hard. The reduction has a gap which we use to exclude an FPTAS for sparse PCA (unless P=NP). Under weaker complexity assumptions, we also exclude polynomial constant-factor approximation algorithms.openaire +3 more sourcesA greedy anytime algorithm for sparse PCA
CoRR, 2019 The taxing computational effort that is involved in solving some high-dimensional statistical problems, in particular problems involving non-convex optimization, has popularized the development and analysis of algorithms that run efficiently (polynomial-time) but with no general guarantee on statistical consistency.Guy Holtzman, Adam Soffer, Dan Vilenchikopenaire +4 more sourcesSparse PCA: Algorithms, Adversarial Perturbations and Certificates [PDF]
2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS), 2020 We study efficient algorithms for Sparse PCA in standard statistical models (spiked covariance in its Wishart form). Our goal is to achieve optimal recovery guarantees while being resilient to small perturbations. Despite a long history of prior works, including explicit studies of perturbation resilience, the best known algorithmic guarantees for ...Tommaso d'Orsi, Pravesh K. Kothari, Gleb Novikov, David Steurer +3 moreopenaire +3 more sources
