SIAM Journal on Mathematics of Data Science Short Title: SIAM J. Math. Data Sci. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 2577-0187/e Online: https://epubs.siam.org/loi/sjmdaq Comments: Journal; Published electronic only as of: Vol. 1 (2019). Documents Indexed: 216 Publications (since 2019) References Indexed: 216 Publications with 10,993 References. all top 5 Latest Issues 5, No. 3 (2023) 5, No. 2 (2023) 5, No. 1 (2023) 4, No. 4 (2022) 4, No. 3 (2022) 4, No. 2 (2022) 4, No. 1 (2022) 3, No. 4 (2021) 3, No. 3 (2021) 3, No. 2 (2021) 3, No. 1 (2021) 2, No. 4 (2020) 2, No. 3 (2020) 2, No. 2 (2020) 2, No. 1 (2020) 1, No. 4 (2019) 1, No. 3 (2019) 1, No. 2 (2019) 1, No. 1 (2019) all top 5 Authors 4 Benson, Austin R. 4 Munk, Axel 4 Nadler, Boaz 3 Askari, Armin 3 d’Aspremont, Alexandre 3 Daubechies, Ingrid Chantal 3 Fanuel, Michaël 3 Gillis, Nicolas 3 Jordan, Michael Irwin 3 Kluger, Yuval 3 Landa, Boris 3 Porter, Mason Alexander 3 Suykens, Johan A. K. 3 Tropp, Joel A. 3 Tudisco, Francesco 3 Udell, Madeleine 3 Unser, Michael A. 3 Vershynin, Roman 3 Willett, Rebecca M. 2 Adcock, Ben 2 Anderson, Paul E. 2 Aziznejad, Shayan 2 Bach, Francis R. 2 Balzano, Laura 2 Bendory, Tamir 2 Boedihardjo, March T. 2 Boix-Adserà, Enric 2 Chambolle, Antonin 2 Chartier, Timothy P. 2 Chodrow, Philip S. 2 Cohen, Jeremy Emile 2 Damle, Anil 2 Fox, Emily B. 2 Gao, Tingran 2 Grohs, Philipp 2 Gupta, Abhishek Kr. 2 Habring, Andreas 2 Haddock, Jamie 2 Higham, Desmond J. 2 Holler, Martin 2 Hong, David 2 Kovalsky, Shahar Z. 2 Langville, Amy N. 2 Luke, David Russell 2 Luo, Tao 2 Mckenzie, Daniel 2 Mucha, Peter J. 2 Murphy, James M. 2 Murray, Ryan W. 2 Nowak, Robert D. 2 Osher, Stanley Joel 2 Osting, Braxton 2 Pananjady, Ashwin 2 Pock, Thomas 2 Ramdas, Aaditya K. 2 Raskutti, Garvesh 2 Rásonyi, Miklós 2 Romberg, Justin K. 2 Ruthotto, Lars 2 Sabach, Shoham 2 Sabanis, Sotirios 2 Saunderson, James 2 Schreurs, Joachim 2 Shojaie, Ali 2 Steinerberger, Stefan 2 Strohmer, Thomas 2 Talmon, Ronen 2 Wang, Bao 2 Weare, Jonathan Quincy 2 Zdeborová, Lenka 2 Zhang, Zheng 2 Zilber, Pini 1 Abbe, Emmanuel 1 Abdi, Afshin 1 Abdolali, Maryam 1 Aberdam, Aviad 1 Acar, Evrim 1 Adali, Tülay 1 Aghasi, Alireza 1 Ahmed, Talal 1 Ahookhosh, Masoud 1 Aicher, Christopher 1 Aizenbud, Yariv 1 Aksoy, Sinan G. 1 Altschuler, Jason M. 1 Amini, Massih-Reza 1 Amir, Tal 1 Amsel, Noah 1 Anirudh, Rushil 1 Antikacioglu, Arda 1 Archimbaud, Aurore 1 Arias-Castro, Ery 1 Armstrong, Santiago 1 Arras, Benjamin 1 Arroyo, Jesús 1 Aspeel, Antoine 1 Atchadé, Yves F. 1 Bachmayr, Markus 1 Bachoc, François 1 Bai, Yatong ...and 477 more Authors all top 5 Fields 102 Statistics (62-XX) 100 Computer science (68-XX) 67 Numerical analysis (65-XX) 55 Operations research, mathematical programming (90-XX) 38 Probability theory and stochastic processes (60-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 23 Combinatorics (05-XX) 21 Information and communication theory, circuits (94-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 12 Approximations and expansions (41-XX) 10 Biology and other natural sciences (92-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 7 Operator theory (47-XX) 7 Systems theory; control (93-XX) 6 Partial differential equations (35-XX) 6 Convex and discrete geometry (52-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Differential geometry (53-XX) 4 Algebraic topology (55-XX) 3 Algebraic geometry (14-XX) 2 Commutative algebra (13-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 584 times in 513 Documents Cited by ▼ Year ▼ Optimal approximation with sparsely connected deep neural networks. Zbl 1499.41029Bölcskei, Helmut; Grohs, Philipp; Kutyniok, Gitta; Petersen, Philipp 52 2019 Analysis of the generalization error: empirical risk minimization over deep artificial neural networks overcomes the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations. Zbl 1480.60191Berner, Julius; Grohs, Philipp; Jentzen, Arnulf 41 2020 Why are big data matrices approximately low rank? Zbl 1513.68057Udell, Madeleine; Townsend, Alex 29 2019 Two models of double descent for weak features. Zbl 1484.62090Belkin, Mikhail; Hsu, Daniel; Xu, Ji 20 2020 New error bounds for deep ReLU networks using sparse grids. Zbl 1513.68054Montanelli, Hadrien; Du, Qiang 17 2019 Scalable semidefinite programming. Zbl 1470.90068Yurtsever, Alp; Tropp, Joel A.; Fercoq, Olivier; Udell, Madeleine; Cevher, Volkan 15 2021 Three hypergraph eigenvector centralities. Zbl 1499.05432Benson, Austin R. 15 2019 Greed works: an improved analysis of sampling Kaczmarz-Motzkin. Zbl 07368791Haddock, Jamie; Ma, Anna 14 2021 Low-rank Tucker approximation of a tensor from streaming data. Zbl 1512.65077Sun, Yiming; Guo, Yang; Luo, Charlene; Tropp, Joel; Udell, Madeleine 14 2020 The gap between theory and practice in function approximation with deep neural networks. Zbl 1483.65028Adcock, Ben; Dexter, Nick 12 2021 On stochastic gradient Langevin dynamics with dependent data streams: the fully nonconvex case. Zbl 07419554Chau, Ngoc Huy; Moulines, Éric; Rásonyi, Miklós; Sabanis, Sotirios; Zhang, Ying 12 2021 Consistency of Lipschitz learning with infinite unlabeled data and finite labeled data. Zbl 1499.35598Calder, Jeff 11 2019 Sequential sampling for optimal weighted least squares approximations in hierarchical spaces. Zbl 1499.41010Arras, Benjamin; Bachmayr, Markus; Cohen, Albert 11 2019 Convex-concave backtracking for inertial Bregman proximal gradient algorithms in nonconvex optimization. Zbl 1486.90147Mukkamala, Mahesh Chandra; Ochs, Peter; Pock, Thomas; Sabach, Shoham 10 2020 Detecting overlapping communities in networks using spectral methods. Zbl 1484.62073Zhang, Yuan; Levina, Elizaveta; Zhu, Ji 9 2020 Empirical regularized optimal transport: statistical theory and applications. Zbl 1483.62055Klatt, Marcel; Tameling, Carla; Munk, Axel 9 2020 A nonlinear spectral method for core-periphery detection in networks. Zbl 1499.05402Tudisco, Francesco; Higham, Desmond J. 8 2019 Layer-parallel training of deep residual neural networks. Zbl 1508.68306Günther, Stefanie; Ruthotto, Lars; Schroder, Jacob B.; Cyr, Eric C.; Gauger, Nicolas R. 8 2020 Randomized algorithms for low-rank tensor decompositions in the Tucker format. Zbl 1484.65091Minster, Rachel; Saibaba, Arvind K.; Kilmer, Misha E. 8 2020 The rankability of data. Zbl 1499.90132Anderson, Paul; Chartier, Timothy; Langville, Amy 7 2019 The sample complexity of multireference alignment. Zbl 1499.92047Perry, Amelia; Weed, Jonathan; Bandeira, Afonso S.; Rigollet, Philippe; Singer, Amit 7 2019 Deep neural networks, generic universal interpolation, and controlled ODEs. Zbl 1485.93062Cuchiero, Christa; Larsson, Martin; Teichmann, Josef 7 2020 Near-optimal sampling strategies for multivariate function approximation on general domains. Zbl 1484.41015Adcock, Ben; Cardenas, Juan M. 7 2020 Lipschitz certificates for layered network structures driven by averaged activation operators. Zbl 07468921Combettes, Patrick L.; Pesquet, Jean-Christophe 6 2020 What kinds of functions do deep neural networks learn? Insights from variational spline theory. Zbl 07511677Parhi, Rahul; Nowak, Robert D. 6 2022 Diversity sampling is an implicit regularization for kernel methods. Zbl 1468.62251Fanuel, Michael; Schreurs, Joachim; Suykens, Johan 5 2021 Nonbacktracking eigenvalues under node removal: X-centrality and targeted immunization. Zbl 1470.05107Torres, Leo; Chan, Kevin S.; Tong, Hanghang; Eliassi-Rad, Tina 5 2021 Toward a mathematical theory of the crystallographic phase retrieval problem. Zbl 1482.94023Bendory, Tamir; Edidin, Dan 5 2020 On a minimum distance procedure for threshold selection in tail analysis. Zbl 1484.62057Drees, Holger; Janßen, Anja; Resnick, Sidney I.; Wang, Tiandong 5 2020 Graph powering and spectral robustness. Zbl 1484.62117Abbe, Emmanuel; Boix-Adserà, Enric; Ralli, Peter; Sandon, Colin 5 2020 ISLET: fast and optimal low-rank tensor regression via importance sketching. Zbl 1484.65095Zhang, Anru R.; Luo, Yuetian; Raskutti, Garvesh; Yuan, Ming 5 2020 A maximum principle argument for the uniform convergence of graph Laplacian regressors. Zbl 1485.35137Trillos, Nicolás García; Murray, Ryan W. 5 2020 The convex mixture distribution: Granger causality for categorical time series. Zbl 1468.62310Tank, Alex; Li, Xiudi; Fox, Emily B.; Shojaie, Ali 4 2021 Diffusion state distances: multitemporal analysis, fast algorithms, and applications to biological networks. Zbl 1470.60231Cowen, Lenore; Devkota, Kapil; Hu, Xiaozhe; Murphy, James M.; Wu, Kaiyi 4 2021 Doubly stochastic normalization of the Gaussian kernel is robust to heteroskedastic noise. Zbl 1468.62431Landa, Boris; Coifman, Ronald R.; Kluger, Yuval 4 2021 Global minima of overparameterized neural networks. Zbl 1483.68288Cooper, Yaim 4 2021 Clustering with t-SNE, provably. Zbl 1499.60259Linderman, George C.; Steinerberger, Stefan 4 2019 Multivariate spatiotemporal Hawkes processes and network reconstruction. Zbl 1499.60154Yuan, Baichuan; Li, Hao; Bertozzi, Andrea L.; Brantingham, P. Jeffrey; Porter, Mason A. 4 2019 Singularity structures and impacts on parameter estimation in finite mixtures of distributions. Zbl 1499.62460Ho, Nhat; Nguyen, XuanLong 4 2019 Multi-layer sparse coding: the holistic way. Zbl 1499.65153Aberdam, Aviad; Sulam, Jeremias; Elad, Michael 4 2019 Variational limits of \(k\)-NN graph-based functionals on data clouds. Zbl 1499.49058Garcia Trillos, Nicolas 4 2019 Optimization on spheres: models and proximal algorithms with computational performance comparisons. Zbl 1499.90175Luke, D. Russell; Sabach, Shoham; Teboulle, Marc 4 2019 A Bayesian framework for persistent homology. Zbl 1484.62032Maroulas, Vasileios; Nasrin, Farzana; Oballe, Christopher 4 2020 Memory capacity of neural networks with threshold and rectified linear unit activations. Zbl 1509.68228Vershynin, Roman 4 2020 Stochastic gradients for large-scale tensor decomposition. Zbl 1485.65054Kolda, Tamara G.; Hong, David 4 2020 Random points on an algebraic manifold. Zbl 1486.14076Breiding, Paul; Marigliano, Orlando 4 2020 Ergodicity coefficients for higher-order stochastic processes. Zbl 1483.60105Fasino, Dario; Tudisco, Francesco 4 2020 Wasserstein barycenters are NP-hard to compute. Zbl 07493842Altschuler, Jason M.; Boix-Adserà, Enric 4 2022 Multikernel regression with sparsity constraint. Zbl 1479.46026Aziznejad, Shayan; Unser, Michael 3 2021 Tensor methods for nonlinear matrix completion. Zbl 1468.15011Ongie, Greg; Pimentel-Alarcón, Daniel; Balzano, Laura; Willett, Rebecca; Nowak, Robert D. 3 2021 Finite-time performance of distributed temporal-difference learning with linear function approximation. Zbl 1483.68294Doan, Thinh T.; Maguluri, Siva Theja; Romberg, Justin 3 2021 Multi-reference alignment in high dimensions: sample complexity and phase transition. Zbl 1468.62246Romanov, Elad; Bendory, Tamir; Ordentlich, Or 3 2021 Mean-field controls with Q-learning for cooperative MARL: convergence and complexity analysis. Zbl 1479.49088Gu, Haotian; Guo, Xin; Wei, Xiaoli; Xu, Renyuan 3 2021 Interpretable approximation of high-dimensional data. Zbl 1476.65023Potts, Daniel; Schmischke, Michael 3 2021 Polynomial threshold functions, hyperplane arrangements, and random tensors. Zbl 1499.94078Baldi, Pierre; Vershynin, Roman 3 2019 Gaussian process landmarking on manifolds. Zbl 1499.60114Gao, Tingran; Kovalsky, Shahar Z.; Daubechies, Ingrid 3 2019 Multilinear compressive sensing and an application to convolutional linear networks. Zbl 1513.68053Malgouyres, François; Landsberg, Joseph 3 2019 Stochastic gradient MCMC for state space models. Zbl 1499.60251Aicher, Christopher; Ma, Yi-An; Foti, Nicholas J.; Fox, Emily B. 3 2019 On gradient-based learning in continuous games. Zbl 1517.91003Mazumdar, Eric; Ratliff, Lillian J.; Sastry, S. Shankar 3 2020 Phase retrieval with sparse phase constraint. Zbl 1484.65129Thao, Nguyen Hieu; Luke, David Russell; Soloviev, Oleg; Verhaegen, Michel 3 2020 A variational formulation of accelerated optimization on Riemannian manifolds. Zbl 1504.37104Duruisseaux, Valentin; Leok, Melvin 3 2022 Core-periphery detection in hypergraphs. Zbl 1515.65081Tudisco, Francesco; Higham, Desmond J. 3 2023 Implicit deep learning. Zbl 07419553El Ghaoui, Laurent; Gu, Fangda; Travacca, Bertrand; Askari, Armin; Tsai, Alicia 3 2021 Train like a (Var)pro: efficient training of neural networks with variable projection. Zbl 07419557Newman, Elizabeth; Ruthotto, Lars; Hart, Joseph; van Bloemen Waanders, Bart 3 2021 Error bounds for dynamical spectral estimation. Zbl 07368786Webber, Robert J.; Thiede, Erik H.; Dow, Douglas; Dinner, Aaron R.; Weare, Jonathan 2 2021 Rank \(2r\) iterative least squares: efficient recovery of ill-conditioned low rank matrices from few entries. Zbl 07368795Bauch, Jonathan; Nadler, Boaz; Zilber, Pini 2 2021 Normal-bundle bootstrap. Zbl 1475.62292Zhang, Ruda; Ghanem, Roger 2 2021 Simplex-structured matrix factorization: sparsity-based identifiability and provably correct algorithms. Zbl 07368848Abdolali, Maryam; Gillis, Nicolas 2 2021 Metric-constrained optimization for graph clustering algorithms. Zbl 1499.05598Veldt, Nate; Gleich, David F.; Wirth, Anthony; Saunderson, James 2 2019 Gaussian process landmarking for three-dimensional geometric morphometrics. Zbl 1499.60113Gao, Tingran; Kovalsky, Shahar Z.; Boyer, Doug M.; Daubechies, Ingrid 2 2019 Recovering trees with convex clustering. Zbl 1482.68194Chi, Eric C.; Steinerberger, Stefan 2 2019 Matrix rigidity and the ill-posedness of robust PCA and matrix completion. Zbl 1502.62074Tanner, Jared; Thompson, Andrew; Vary, Simon 2 2019 Recovering hidden components in multimodal data with composite diffusion operators. Zbl 1499.62463Shnitzer, Tal; Ben-Chen, Mirela; Guibas, Leonidas; Talmon, Ronen; Wu, Hau-Tieng 2 2019 Geometry and symmetry in short-and-sparse deconvolution. Zbl 1482.94030Kuo, Han-Wen; Zhang, Yuqian; Lau, Yenson; Wright, John 2 2020 Determinantal point processes implicitly regularize semiparametric regression problems. Zbl 07589189Fanuel, Michaël; Schreurs, Joachim; Suykens, Johan A. K. 2 2022 Tensor regression using low-rank and sparse Tucker decompositions. Zbl 07482293Ahmed, Talal; Raja, Haroon; Bajwa, Waheed U. 2 2020 Stochastic Tverberg theorems with applications in multiclass logistic regression, separability, and centerpoints of data. Zbl 1485.60014De Loera, Jesus A.; Hogan, Thomas 2 2020 Sensitivity-informed provable pruning of neural networks. Zbl 1508.68277Baykal, Cenk; Liebenwein, Lucas; Gilitschenski, Igor; Feldman, Dan; Rus, Daniela 2 2022 Randomized Wasserstein barycenter computation: resampling with statistical guarantees. Zbl 1493.62010Heinemann, Florian; Munk, Axel; Zemel, Yoav 2 2022 Fast cluster detection in networks by first order optimization. Zbl 1487.90615Bomze, Immanuel M.; Rinaldi, Francesco; Zeffiro, Damiano 2 2022 A generative variational model for inverse problems in imaging. Zbl 1485.49042Habring, Andreas; Holler, Martin 2 2022 Two steps at a time-taking GAN training in stride with Tseng’s method. Zbl 1492.65175Böhm, Axel; Sedlmayer, Michael; Csetnek, Ernö Robert; Boţ, Radu Ioan 2 2022 Persistent Laplacians: properties, algorithms and implications. Zbl 1496.55007Mémoli, Facundo; Wan, Zhengchao; Wang, Yusu 2 2022 GNMR: a provable one-line algorithm for low rank matrix recovery. Zbl 1492.65115Zilber, Pini; Nadler, Boaz 2 2022 Benefit of interpolation in nearest neighbor algorithms. Zbl 1493.62180Xing, Yue; Song, Qifan; Cheng, Guang 2 2022 Matrix denoising for weighted loss functions and heterogeneous signals. Zbl 1476.62127Leeb, William E. 2 2021 Variational representations and neural network estimation of Rényi divergences. Zbl 1477.94037Birrell, Jeremiah; Dupuis, Paul; Katsoulakis, Markos A.; Rey-Bellet, Luc; Wang, Jie 2 2021 Adaptivity of stochastic gradient methods for nonconvex optimization. Zbl 1492.90135Horváth, Samuel; Lei, Lihua; Richtárik, Peter; Jordan, Michael I. 2 2022 A performance guarantee for spectral clustering. Zbl 1468.05223Boedihardjo, March; Deng, Shaofeng; Strohmer, Thomas 1 2021 Generalization error of minimum weighted norm and kernel interpolation. Zbl 1468.41003Li, Weilin 1 2021 A metric on directed graphs and Markov chains based on hitting probabilities. Zbl 1467.05090Boyd, Zachary M.; Fraiman, Nicolas; Marzuola, Jeremy; Mucha, Peter J.; Osting, Braxton; Weare, Jonathan 1 2021 Binary component decomposition. I: The positive-semidefinite case. Zbl 1515.65108Kueng, Richard; Tropp, Joel A. 1 2021 Relating modularity maximization and stochastic block models in multilayer networks. Zbl 1502.91047Pamfil, A. Roxana; Howison, Sam D.; Lambiotte, Renaud; Porter, Mason A. 1 2019 Decoding from pooled data: sharp information-theoretic bounds. Zbl 1499.62045Alaoui, Ahmed El; Ramdas, Aaditya; Krzakala, Florent; Zdeborová, Lenka; Jordan, Michael I. 1 2019 Identifiability of complete dictionary learning. Zbl 1513.68045Cohen, Jeremy E.; Gillis, Nicolas 1 2019 Fast convex pruning of deep neural networks. Zbl 1484.90072Aghasi, Alireza; Abdi, Afshin; Romberg, Justin 1 2020 Matching component analysis for transfer learning. Zbl 1483.65094Clum, Charles; Mixon, Dustin G.; Scarnati, Theresa 1 2020 Blind identification of stochastic block models from dynamical observations. Zbl 07468914Schaub, Michael T.; Segarra, Santiago; Tsitsiklis, John N. 1 2020 Compressive sensing for cut improvement and local clustering. Zbl 1508.68267Lai, Ming-Jun; Mckenzie, Daniel 1 2020 Persistent cohomology for data with multicomponent heterogeneous information. Zbl 1484.55004Cang, Zixuan; Wei, Guo-Wei 1 2020 Core-periphery detection in hypergraphs. Zbl 1515.65081Tudisco, Francesco; Higham, Desmond J. 3 2023 Approximation of Lipschitz functions using deep spline neural networks. Zbl 07703477Neumayer, Sebastian; Goujon, Alexis; Bohra, Pakshal; Unser, Michael 1 2023 Taming neural networks with TUSLA: nonconvex learning via adaptive stochastic gradient Langevin algorithms. Zbl 07703478Lovas, Attila; Lytras, Iosif; Rásonyi, Miklós; Sabanis, Sotirios 1 2023 Approximate Q learning for controlled diffusion processes and its near optimality. Zbl 07732335Bayraktar, Erhan; Kara, Ali Devran 1 2023 An improved central limit theorem and fast convergence rates for entropic transportation costs. Zbl 07732336del Barrio, Eustasio; González Sanz, Alberto; Loubes, Jean-Michel; Niles-Weed, Jonathan 1 2023 Algorithmic regularization in model-free overparametrized asymmetric matrix factorization. Zbl 07732339Jiang, Liwei; Chen, Yudong; Ding, Lijun 1 2023 What kinds of functions do deep neural networks learn? Insights from variational spline theory. Zbl 07511677Parhi, Rahul; Nowak, Robert D. 6 2022 Wasserstein barycenters are NP-hard to compute. Zbl 07493842Altschuler, Jason M.; Boix-Adserà, Enric 4 2022 A variational formulation of accelerated optimization on Riemannian manifolds. Zbl 1504.37104Duruisseaux, Valentin; Leok, Melvin 3 2022 Determinantal point processes implicitly regularize semiparametric regression problems. Zbl 07589189Fanuel, Michaël; Schreurs, Joachim; Suykens, Johan A. K. 2 2022 Sensitivity-informed provable pruning of neural networks. Zbl 1508.68277Baykal, Cenk; Liebenwein, Lucas; Gilitschenski, Igor; Feldman, Dan; Rus, Daniela 2 2022 Randomized Wasserstein barycenter computation: resampling with statistical guarantees. Zbl 1493.62010Heinemann, Florian; Munk, Axel; Zemel, Yoav 2 2022 Fast cluster detection in networks by first order optimization. Zbl 1487.90615Bomze, Immanuel M.; Rinaldi, Francesco; Zeffiro, Damiano 2 2022 A generative variational model for inverse problems in imaging. Zbl 1485.49042Habring, Andreas; Holler, Martin 2 2022 Two steps at a time-taking GAN training in stride with Tseng’s method. Zbl 1492.65175Böhm, Axel; Sedlmayer, Michael; Csetnek, Ernö Robert; Boţ, Radu Ioan 2 2022 Persistent Laplacians: properties, algorithms and implications. Zbl 1496.55007Mémoli, Facundo; Wan, Zhengchao; Wang, Yusu 2 2022 GNMR: a provable one-line algorithm for low rank matrix recovery. Zbl 1492.65115Zilber, Pini; Nadler, Boaz 2 2022 Benefit of interpolation in nearest neighbor algorithms. Zbl 1493.62180Xing, Yue; Song, Qifan; Cheng, Guang 2 2022 Adaptivity of stochastic gradient methods for nonconvex optimization. Zbl 1492.90135Horváth, Samuel; Lei, Lihua; Richtárik, Peter; Jordan, Michael I. 2 2022 Joint community detection and rotational synchronization via semidefinite programming. Zbl 1498.90151Fan, Yifeng; Khoo, Yuehaw; Zhao, Zhizhen 1 2022 Analysis of spatial and spatiotemporal anomalies using persistent homology: case studies with COVID-19 data. Zbl 1498.92221Hickok, Abigail; Needell, Deanna; Porter, Mason A. 1 2022 Block Bregman majorization minimization with extrapolation. Zbl 1486.90154Hien, Le Thi Khanh; Phan, Duy Nhat; Gillis, Nicolas; Ahookhosh, Masoud; Patrinos, Panagiotis 1 2022 Balancing geometry and density: path distances on high-dimensional data. Zbl 1493.62391Little, Anna; McKenzie, Daniel; Murphy, James M. 1 2022 Positive semi-definite embedding for dimensionality reduction and out-of-sample extensions. Zbl 07493841Fanuel, Michaël; Aspeel, Antoine; Delvenne, Jean-Charles; Suykens, Johan A. K. 1 2022 Identifying 3D genome organization in diploid organisms via Euclidean distance geometry. Zbl 1486.92334Belyaeva, Anastasiya; Kubjas, Kaie; Sun, Lawrence J.; Uhler, Caroline 1 2022 Binary classification of Gaussian mixtures: abundance of support vectors, benign overfitting, and regularization. Zbl 1493.62402Wang, Ke; Thrampoulidis, Christos 1 2022 Tukey depths and Hamilton-Jacobi differential equations. Zbl 1490.35478Molina-Fructuoso, Martin; Murray, Ryan 1 2022 Intrinsic dimension adaptive partitioning for kernel methods. Zbl 1491.68154Hamm, Thomas; Steinwart, Ingo 1 2022 Scalable semidefinite programming. Zbl 1470.90068Yurtsever, Alp; Tropp, Joel A.; Fercoq, Olivier; Udell, Madeleine; Cevher, Volkan 15 2021 Greed works: an improved analysis of sampling Kaczmarz-Motzkin. Zbl 07368791Haddock, Jamie; Ma, Anna 14 2021 The gap between theory and practice in function approximation with deep neural networks. Zbl 1483.65028Adcock, Ben; Dexter, Nick 12 2021 On stochastic gradient Langevin dynamics with dependent data streams: the fully nonconvex case. Zbl 07419554Chau, Ngoc Huy; Moulines, Éric; Rásonyi, Miklós; Sabanis, Sotirios; Zhang, Ying 12 2021 Diversity sampling is an implicit regularization for kernel methods. Zbl 1468.62251Fanuel, Michael; Schreurs, Joachim; Suykens, Johan 5 2021 Nonbacktracking eigenvalues under node removal: X-centrality and targeted immunization. Zbl 1470.05107Torres, Leo; Chan, Kevin S.; Tong, Hanghang; Eliassi-Rad, Tina 5 2021 The convex mixture distribution: Granger causality for categorical time series. Zbl 1468.62310Tank, Alex; Li, Xiudi; Fox, Emily B.; Shojaie, Ali 4 2021 Diffusion state distances: multitemporal analysis, fast algorithms, and applications to biological networks. Zbl 1470.60231Cowen, Lenore; Devkota, Kapil; Hu, Xiaozhe; Murphy, James M.; Wu, Kaiyi 4 2021 Doubly stochastic normalization of the Gaussian kernel is robust to heteroskedastic noise. Zbl 1468.62431Landa, Boris; Coifman, Ronald R.; Kluger, Yuval 4 2021 Global minima of overparameterized neural networks. Zbl 1483.68288Cooper, Yaim 4 2021 Multikernel regression with sparsity constraint. Zbl 1479.46026Aziznejad, Shayan; Unser, Michael 3 2021 Tensor methods for nonlinear matrix completion. Zbl 1468.15011Ongie, Greg; Pimentel-Alarcón, Daniel; Balzano, Laura; Willett, Rebecca; Nowak, Robert D. 3 2021 Finite-time performance of distributed temporal-difference learning with linear function approximation. Zbl 1483.68294Doan, Thinh T.; Maguluri, Siva Theja; Romberg, Justin 3 2021 Multi-reference alignment in high dimensions: sample complexity and phase transition. Zbl 1468.62246Romanov, Elad; Bendory, Tamir; Ordentlich, Or 3 2021 Mean-field controls with Q-learning for cooperative MARL: convergence and complexity analysis. Zbl 1479.49088Gu, Haotian; Guo, Xin; Wei, Xiaoli; Xu, Renyuan 3 2021 Interpretable approximation of high-dimensional data. Zbl 1476.65023Potts, Daniel; Schmischke, Michael 3 2021 Implicit deep learning. Zbl 07419553El Ghaoui, Laurent; Gu, Fangda; Travacca, Bertrand; Askari, Armin; Tsai, Alicia 3 2021 Train like a (Var)pro: efficient training of neural networks with variable projection. Zbl 07419557Newman, Elizabeth; Ruthotto, Lars; Hart, Joseph; van Bloemen Waanders, Bart 3 2021 Error bounds for dynamical spectral estimation. Zbl 07368786Webber, Robert J.; Thiede, Erik H.; Dow, Douglas; Dinner, Aaron R.; Weare, Jonathan 2 2021 Rank \(2r\) iterative least squares: efficient recovery of ill-conditioned low rank matrices from few entries. Zbl 07368795Bauch, Jonathan; Nadler, Boaz; Zilber, Pini 2 2021 Normal-bundle bootstrap. Zbl 1475.62292Zhang, Ruda; Ghanem, Roger 2 2021 Simplex-structured matrix factorization: sparsity-based identifiability and provably correct algorithms. Zbl 07368848Abdolali, Maryam; Gillis, Nicolas 2 2021 Matrix denoising for weighted loss functions and heterogeneous signals. Zbl 1476.62127Leeb, William E. 2 2021 Variational representations and neural network estimation of Rényi divergences. Zbl 1477.94037Birrell, Jeremiah; Dupuis, Paul; Katsoulakis, Markos A.; Rey-Bellet, Luc; Wang, Jie 2 2021 A performance guarantee for spectral clustering. Zbl 1468.05223Boedihardjo, March; Deng, Shaofeng; Strohmer, Thomas 1 2021 Generalization error of minimum weighted norm and kernel interpolation. Zbl 1468.41003Li, Weilin 1 2021 A metric on directed graphs and Markov chains based on hitting probabilities. Zbl 1467.05090Boyd, Zachary M.; Fraiman, Nicolas; Marzuola, Jeremy; Mucha, Peter J.; Osting, Braxton; Weare, Jonathan 1 2021 Binary component decomposition. I: The positive-semidefinite case. Zbl 1515.65108Kueng, Richard; Tropp, Joel A. 1 2021 FANOK: knockoffs in linear time. Zbl 1475.62109Askari, Armin; Rebjock, Quentin; d’Aspremont, Alexandre; El Ghaoui, Laurent 1 2021 Approximate spectral gaps for Markov chain mixing times in high dimensions. Zbl 1473.60103Atchadé, Yves F. 1 2021 Is temporal difference learning optimal? An instance-dependent analysis. Zbl 07419556Khamaru, Koulik; Pananjady, Ashwin; Ruan, Feng; Wainwright, Martin J.; Jordan, Michael I. 1 2021 Analysis of the generalization error: empirical risk minimization over deep artificial neural networks overcomes the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations. Zbl 1480.60191Berner, Julius; Grohs, Philipp; Jentzen, Arnulf 41 2020 Two models of double descent for weak features. Zbl 1484.62090Belkin, Mikhail; Hsu, Daniel; Xu, Ji 20 2020 Low-rank Tucker approximation of a tensor from streaming data. Zbl 1512.65077Sun, Yiming; Guo, Yang; Luo, Charlene; Tropp, Joel; Udell, Madeleine 14 2020 Convex-concave backtracking for inertial Bregman proximal gradient algorithms in nonconvex optimization. Zbl 1486.90147Mukkamala, Mahesh Chandra; Ochs, Peter; Pock, Thomas; Sabach, Shoham 10 2020 Detecting overlapping communities in networks using spectral methods. Zbl 1484.62073Zhang, Yuan; Levina, Elizaveta; Zhu, Ji 9 2020 Empirical regularized optimal transport: statistical theory and applications. Zbl 1483.62055Klatt, Marcel; Tameling, Carla; Munk, Axel 9 2020 Layer-parallel training of deep residual neural networks. Zbl 1508.68306Günther, Stefanie; Ruthotto, Lars; Schroder, Jacob B.; Cyr, Eric C.; Gauger, Nicolas R. 8 2020 Randomized algorithms for low-rank tensor decompositions in the Tucker format. Zbl 1484.65091Minster, Rachel; Saibaba, Arvind K.; Kilmer, Misha E. 8 2020 Deep neural networks, generic universal interpolation, and controlled ODEs. Zbl 1485.93062Cuchiero, Christa; Larsson, Martin; Teichmann, Josef 7 2020 Near-optimal sampling strategies for multivariate function approximation on general domains. Zbl 1484.41015Adcock, Ben; Cardenas, Juan M. 7 2020 Lipschitz certificates for layered network structures driven by averaged activation operators. Zbl 07468921Combettes, Patrick L.; Pesquet, Jean-Christophe 6 2020 Toward a mathematical theory of the crystallographic phase retrieval problem. Zbl 1482.94023Bendory, Tamir; Edidin, Dan 5 2020 On a minimum distance procedure for threshold selection in tail analysis. Zbl 1484.62057Drees, Holger; Janßen, Anja; Resnick, Sidney I.; Wang, Tiandong 5 2020 Graph powering and spectral robustness. Zbl 1484.62117Abbe, Emmanuel; Boix-Adserà, Enric; Ralli, Peter; Sandon, Colin 5 2020 ISLET: fast and optimal low-rank tensor regression via importance sketching. Zbl 1484.65095Zhang, Anru R.; Luo, Yuetian; Raskutti, Garvesh; Yuan, Ming 5 2020 A maximum principle argument for the uniform convergence of graph Laplacian regressors. Zbl 1485.35137Trillos, Nicolás García; Murray, Ryan W. 5 2020 A Bayesian framework for persistent homology. Zbl 1484.62032Maroulas, Vasileios; Nasrin, Farzana; Oballe, Christopher 4 2020 Memory capacity of neural networks with threshold and rectified linear unit activations. Zbl 1509.68228Vershynin, Roman 4 2020 Stochastic gradients for large-scale tensor decomposition. Zbl 1485.65054Kolda, Tamara G.; Hong, David 4 2020 Random points on an algebraic manifold. Zbl 1486.14076Breiding, Paul; Marigliano, Orlando 4 2020 Ergodicity coefficients for higher-order stochastic processes. Zbl 1483.60105Fasino, Dario; Tudisco, Francesco 4 2020 On gradient-based learning in continuous games. Zbl 1517.91003Mazumdar, Eric; Ratliff, Lillian J.; Sastry, S. Shankar 3 2020 Phase retrieval with sparse phase constraint. Zbl 1484.65129Thao, Nguyen Hieu; Luke, David Russell; Soloviev, Oleg; Verhaegen, Michel 3 2020 Geometry and symmetry in short-and-sparse deconvolution. Zbl 1482.94030Kuo, Han-Wen; Zhang, Yuqian; Lau, Yenson; Wright, John 2 2020 Tensor regression using low-rank and sparse Tucker decompositions. Zbl 07482293Ahmed, Talal; Raja, Haroon; Bajwa, Waheed U. 2 2020 Stochastic Tverberg theorems with applications in multiclass logistic regression, separability, and centerpoints of data. Zbl 1485.60014De Loera, Jesus A.; Hogan, Thomas 2 2020 Fast convex pruning of deep neural networks. Zbl 1484.90072Aghasi, Alireza; Abdi, Afshin; Romberg, Justin 1 2020 Matching component analysis for transfer learning. Zbl 1483.65094Clum, Charles; Mixon, Dustin G.; Scarnati, Theresa 1 2020 Blind identification of stochastic block models from dynamical observations. Zbl 07468914Schaub, Michael T.; Segarra, Santiago; Tsitsiklis, John N. 1 2020 Compressive sensing for cut improvement and local clustering. Zbl 1508.68267Lai, Ming-Jun; Mckenzie, Daniel 1 2020 Persistent cohomology for data with multicomponent heterogeneous information. Zbl 1484.55004Cang, Zixuan; Wei, Guo-Wei 1 2020 Graph-based regularization for regression problems with alignment and highly correlated designs. Zbl 1483.62136Li, Yuan; Mark, Benjamin; Raskutti, Garvesh; Willett, Rebecca; Song, Hyebin; Neiman, David 1 2020 Moments of uniform random multigraphs with fixed degree sequences. Zbl 1483.05154Chodrow, Philip S. 1 2020 Active subspace of neural networks: structural analysis and universal attacks. Zbl 1486.90152Cui, Chunfeng; Zhang, Kaiqi; Daulbaev, Talgat; Gusak, Julia; Oseledets, Ivan; Zhang, Zheng 1 2020 EnResNet: ResNets ensemble via the Feynman-Kac formalism for adversarial defense and beyond. Zbl 1508.68312Wang, Bao; Yuan, Binjie; Shi, Zuoqiang; Osher, Stanley J. 1 2020 A rigorous theory of conditional mean embeddings. Zbl 1493.46043Klebanov, Ilja; Schuster, Ingmar; Sullivan, T. J. 1 2020 Optimal approximation with sparsely connected deep neural networks. Zbl 1499.41029Bölcskei, Helmut; Grohs, Philipp; Kutyniok, Gitta; Petersen, Philipp 52 2019 Why are big data matrices approximately low rank? Zbl 1513.68057Udell, Madeleine; Townsend, Alex 29 2019 New error bounds for deep ReLU networks using sparse grids. Zbl 1513.68054Montanelli, Hadrien; Du, Qiang 17 2019 Three hypergraph eigenvector centralities. Zbl 1499.05432Benson, Austin R. 15 2019 Consistency of Lipschitz learning with infinite unlabeled data and finite labeled data. Zbl 1499.35598Calder, Jeff 11 2019 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,183 Authors 12 Jentzen, Arnulf 9 Grohs, Philipp 7 Yang, Haizhao 6 Gillis, Nicolas 6 Schwab, Christoph 6 Tudisco, Francesco 5 Bendory, Tamir 5 Calder, Jeff 5 Ding, Lijun 5 Rásonyi, Miklós 5 Zhang, Anru R. 4 Daubechies, Ingrid Chantal 4 Jiao, Yuling 4 Kutyniok, Gitta 4 Langville, Amy N. 4 Lu, Xiliang 4 Maroulas, Vasileios 4 Niles-Weed, Jonathan 4 Petersen, Philipp Christian 4 Schneider, Reinhold 4 Shen, Zuowei 4 Steinerberger, Stefan 4 Tropp, Joel A. 4 Udell, Madeleine 4 Unser, Michael A. 4 Voigtlaender, Felix 4 Xu, Jinchao 3 Adcock, Ben 3 Anderson, Paul E. 3 Beck, Christian 3 Belkin, Mikhail 3 Bölcskei, Helmut 3 Che, Maolin 3 Cheng, Xiuyuan 3 Cucuringu, Mihai 3 d’Aspremont, Alexandre 3 Edidin, Dan 3 Fanuel, Michaël 3 Fornasier, Massimo 3 Gao, Tingran 3 Hien, Le Thi Khanh 3 Leeb, William E. 3 Li, Hanyu 3 Luo, Yuetian 3 Maass, Peter 3 Munk, Axel 3 Needell, Deanna 3 Ng, Michael Kwok-Po 3 Ochs, Peter 3 Pedings-Behling, Kathryn E. 3 Raskutti, Garvesh 3 Raslan, Mones 3 Rebrova, Elizaveta 3 Resnick, Sidney Ira 3 Romance, Miguel 3 Sabanis, Sotirios 3 Schönlieb, Carola-Bibiane 3 Schroder, Jacob B. 3 Siegel, Jonathan W. 3 Slepčev, Dejan 3 Suykens, Johan A. K. 3 Wang, Tiandong 3 Wei, Yimin 3 Yamada, Toshihiro 3 Zdeborová, Lenka 3 Zhang, Shijun 3 Zhang, Yanjun 3 Zuazua, Enrique 2 Ahookhosh, Masoud 2 Alfaro-Bittner, Karin 2 Amblard, Pierre-Olivier 2 Arridge, Simon R. 2 Arrigo, Francesca 2 Arroyo, Jesús 2 Askari, Armin 2 Bandeira, Afonso S. 2 Barthelmé, Simon 2 Becker, Sebastian 2 Benson, Austin R. 2 Bërdëllima, Arian 2 Bertozzi, Andrea Louise 2 Boccaletti, Stefano 2 Bunea, Florentina 2 Cameron, Thomas R. 2 Campos, Joaquim 2 Caragea, Andrei 2 Cardenas, Juan M. 2 Cevher, Volkan 2 Chartier, Timothy P. 2 Chen, Yudong 2 Claes, Rob 2 Cohen, Albert 2 Cremers, Daniel 2 Criado, Regino 2 Cui, Hugo 2 de Hoop, Maarten V. 2 Debarre, Thomas 2 Denoyelle, Quentin 2 DeVore, Ronald A. 2 Dolbeault, Matthieu ...and 1,083 more Authors all top 5 Cited in 161 Journals 36 SIAM Journal on Mathematics of Data Science 24 Applied and Computational Harmonic Analysis 16 Journal of Computational Physics 16 SIAM Journal on Scientific Computing 16 Journal of Machine Learning Research (JMLR) 15 SIAM Journal on Matrix Analysis and Applications 13 The Annals of Statistics 13 SIAM Journal on Optimization 12 Journal of Scientific Computing 11 Electronic Journal of Statistics 9 Constructive Approximation 8 Linear Algebra and its Applications 8 Advances in Computational Mathematics 8 SIAM Journal on Imaging Sciences 8 Statistics and Computing 7 Communications in Computational Physics 6 Inverse Problems 6 Mathematics of Computation 6 Journal of Computational and Applied Mathematics 5 Physica D 5 Mathematical Programming. Series A. Series B 5 Analysis and Applications (Singapore) 5 Acta Numerica 4 Applied Mathematics and Computation 4 Automatica 4 Journal of the American Statistical Association 4 Numerische Mathematik 4 Neural Networks 4 Journal of Global Optimization 4 SIAM Review 4 Computational Optimization and Applications 4 Bernoulli 4 Oberwolfach Reports 4 Research in the Mathematical Sciences 3 Computer Methods in Applied Mechanics and Engineering 3 Physics Reports 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Numerical Analysis 3 Journal of Complexity 3 European Journal of Applied Mathematics 3 Machine Learning 3 The Annals of Applied Probability 3 Proceedings of the National Academy of Sciences of the United States of America 3 SIAM Journal on Mathematical Analysis 3 Journal of Mathematical Imaging and Vision 3 Applied Mathematical Finance 3 The Journal of Fourier Analysis and Applications 3 Extremes 3 Multiscale Modeling & Simulation 3 Journal of Statistical Mechanics: Theory and Experiment 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 The Annals of Applied Statistics 3 Journal of Computational and Graphical Statistics 3 SIAM/ASA Journal on Uncertainty Quantification 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 SN Partial Differential Equations and Applications 2 Artificial Intelligence 2 Computers & Mathematics with Applications 2 Applied Mathematics and Optimization 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Results in Mathematics 2 SIAM Journal on Control and Optimization 2 Statistics & Probability Letters 2 Applied Numerical Mathematics 2 Computers & Operations Research 2 Applied Mathematics Letters 2 The Journal of Geometric Analysis 2 Journal of Nonlinear Science 2 Computational and Applied Mathematics 2 INFORMS Journal on Computing 2 Finance and Stochastics 2 Computing and Visualization in Science 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Optimization and Engineering 2 Quantitative Finance 2 Foundations of Computational Mathematics 2 Numerical Mathematics: Theory, Methods and Applications 2 Sankhyā. Series A 2 Computer Science Review 2 Journal of Computational Dynamics 2 Mathematical Statistics and Learning 2 Foundations of Data Science 2 Sampling Theory, Signal Processing, and Data Analysis 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 European Journal of Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Physica A 1 Problems of Information Transmission 1 Chaos, Solitons and Fractals 1 Annals of the Institute of Statistical Mathematics 1 Calcolo 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Memoirs of the American Mathematical Society ...and 61 more Journals all top 5 Cited in 48 Fields 207 Computer science (68-XX) 199 Numerical analysis (65-XX) 133 Statistics (62-XX) 92 Operations research, mathematical programming (90-XX) 64 Probability theory and stochastic processes (60-XX) 56 Approximations and expansions (41-XX) 53 Linear and multilinear algebra; matrix theory (15-XX) 45 Partial differential equations (35-XX) 38 Information and communication theory, circuits (94-XX) 35 Combinatorics (05-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 25 Biology and other natural sciences (92-XX) 19 Systems theory; control (93-XX) 17 Operator theory (47-XX) 15 Functional analysis (46-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Fluid mechanics (76-XX) 7 Algebraic topology (55-XX) 6 Algebraic geometry (14-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Real functions (26-XX) 4 Convex and discrete geometry (52-XX) 4 Mechanics of particles and systems (70-XX) 3 Ordinary differential equations (34-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 Mathematical logic and foundations (03-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year