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ORCIDSIAM Journal on Mathematics of Data Science, Volume 2
Volume 2, Number 1, 2020
- Stefanie Günther, Lars Ruthotto
, Jacob B. Schroder, Eric C. Cyr, Nicolas R. Gauger:
Layer-Parallel Training of Deep Residual Neural Networks. 1-23 - Raphaël Berthier, Francis R. Bach, Pierre Gaillard:
Accelerated Gossip in Networks of Given Dimension Using Jacobi Polynomial Iterations. 24-47 - Vasileios Maroulas, Farzana Nasrin, Christopher Oballe:
A Bayesian Framework for Persistent Homology. 48-74 - Holger Drees, Anja Janßen, Sidney I. Resnick, Tiandong Wang:
On a Minimum Distance Procedure for Threshold Selection in Tail Analysis. 75-102 - Eric Mazumdar, Lillian J. Ratliff, S. Shankar Sastry:
On Gradient-Based Learning in Continuous Games. 103-131 - Emmanuel Abbe, Enric Boix-Adserà, Peter Ralli, Colin Sandon:
Graph Powering and Spectral Robustness. 132-157 - Alireza Aghasi, Afshin Abdi, Justin Romberg:
Fast Convex Pruning of Deep Neural Networks. 158-188 - Rachel Minster, Arvind K. Saibaba, Misha E. Kilmer:
Randomized Algorithms for Low-Rank Tensor Decompositions in the Tucker Format. 189-215 - Han-Wen Kuo, Yuqian Zhang, Yenson Lau, John Wright:
Geometry and Symmetry in Short-and-Sparse Deconvolution. 216-245 - Nguyen Hieu Thao, David Russell Luke, Oleg Soloviev, Michel Verhaegen:
Phase Retrieval with Sparse Phase Constraint. 246-263
Volume 2, Number 2, 2020
- Yuan Zhang, Elizaveta Levina, Ji Zhu:
Detecting Overlapping Communities in Networks Using Spectral Methods. 265-283 - Xinye Zheng, Jianbo Ye, James Z. Wang, Jia Li:
SCOTT: Shape-Location Combined Tracking with Optimal Transport. 284-308 - Charles Clum, Dustin G. Mixon, Theresa Scarnati:
Matching Component Analysis for Transfer Learning. 309-334 - Michael T. Schaub, Santiago Segarra, John N. Tsitsiklis:
Blind Identification of Stochastic Block Models from Dynamical Observations. 335-367 - Ming-Jun Lai, Daniel McKenzie:
Compressive Sensing for Cut Improvement and Local Clustering. 368-395 - Zixuan Cang, Guo-Wei Wei:
Persistent Cohomology for Data With Multicomponent Heterogeneous Information. 396-418 - Marcel Klatt, Carla Tameling, Axel Munk:
Empirical Regularized Optimal Transport: Statistical Theory and Applications. 419-443 - Anru R. Zhang, Yuetian Luo, Garvesh Raskutti, Ming Yuan:
ISLET: Fast and Optimal Low-Rank Tensor Regression via Importance Sketching. 444-479 - Yuan Li, Benjamin Mark, Garvesh Raskutti, Rebecca Willett, Hyebin Song, David Neiman:
Graph-Based Regularization for Regression Problems with Alignment and Highly Correlated Designs. 480-504 - Thomas Reeves, Anil Damle, Austin R. Benson:
Network Interpolation. 505-528 - Patrick L. Combettes, Jean-Christophe Pesquet:
Lipschitz Certificates for Layered Network Structures Driven by Averaged Activation Operators. 529-557
Volume 2, Number 3, 2020
- Bao Wang, Binjie Yuan, Zuoqiang Shi, Stanley J. Osher:
EnResNet: ResNets Ensemble via the Feynman-Kac Formalism for Adversarial Defense and Beyond. 559-582 - Ilja Klebanov, Ingmar Schuster, Timothy John Sullivan:
A Rigorous Theory of Conditional Mean Embeddings. 583-606 - Ben Adcock, Juan M. Cardenas:
Near-Optimal Sampling Strategies for Multivariate Function Approximation on General Domains. 607-630 - Julius Berner, Philipp Grohs, Arnulf Jentzen:
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. 631-657 - Mahesh Chandra Mukkamala, Peter Ochs, Thomas Pock, Shoham Sabach:
Convex-Concave Backtracking for Inertial Bregman Proximal Gradient Algorithms in Nonconvex Optimization. 658-682 - Paul Breiding, Orlando Marigliano:
Random Points on an Algebraic Manifold. 683-704 - Nicolás García Trillos, Ryan W. Murray:
A Maximum Principle Argument for the Uniform Convergence of Graph Laplacian Regressors. 705-739 - Dario Fasino, Francesco Tudisco:
Ergodicity Coefficients for Higher-Order Stochastic Processes. 740-769 - Charles Fefferman, Sergei Ivanov, Matti Lassas, Hariharan Narayanan:
Reconstruction of a Riemannian Manifold from Noisy Intrinsic Distances. 770-808 - Tamir Bendory, Dan Edidin:
Toward a Mathematical Theory of the Crystallographic Phase Retrieval Problem. 809-839 - Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang:
Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization. 840-871 - William H. Weir, Benjamin Walker, Lenka Zdeborová, Peter J. Mucha:
Multilayer Modularity Belief Propagation to Assess Detectability of Community Structure. 872-900 - Christa Cuchiero, Martin Larsson, Josef Teichmann:
Deep Neural Networks, Generic Universal Interpolation, and Controlled ODEs. 901-919
Volume 2, Number 4, 2020
- Miles E. Lopes, Suofei Wu, Thomas C. M. Lee:
Measuring the Algorithmic Convergence of Randomized Ensembles: The Regression Setting. 921-943 - Talal Ahmed, Haroon Raja, Waheed U. Bajwa:
Tensor Regression Using Low-Rank and Sparse Tucker Decompositions. 944-966 - Abhishek Gupta, Hao Chen, Jianzong Pi, Gaurav Tendolkar:
Some Limit Properties of Markov Chains Induced by Recursive Stochastic Algorithms. 967-1003 - Roman Vershynin:
Memory Capacity of Neural Networks with Threshold and Rectified Linear Unit Activations. 1004-1033 - Philip S. Chodrow:
Moments of Uniform Random Multigraphs with Fixed Degree Sequences. 1034-1065 - Tamara G. Kolda, David Hong:
Stochastic Gradients for Large-Scale Tensor Decomposition. 1066-1095 - Chunfeng Cui, Kaiqi Zhang, Talgat Daulbaev, Julia Gusak, Ivan V. Oseledets, Zheng Zhang:
Active Subspace of Neural Networks: Structural Analysis and Universal Attacks. 1096-1122 - Yiming Sun, Yang Guo, Charlene Luo, Joel A. Tropp, Madeleine Udell:
Low-Rank Tucker Approximation of a Tensor from Streaming Data. 1123-1150 - Jesús A. De Loera, Thomas A. Hogan:
Stochastic Tverberg Theorems With Applications in Multiclass Logistic Regression, Separability, and Centerpoints of Data. 1151-1166 - Mikhail Belkin, Daniel Hsu, Ji Xu:
Two Models of Double Descent for Weak Features. 1167-1180 - Hayden Schaeffer, Scott G. McCalla:
Extending the Step-Size Restriction for Gradient Descent to Avoid Strict Saddle Points. 1181-1197
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