Learning Theory
MSC 68Q32Computational learning theory, statistical learning, PAC learning, online learning, information-theoretic limits.
29 problems
Optimal Distribution-Free Prediction Intervals
Global Landscape of Non-Convex Matrix Sensing
Exact Recovery Threshold in Multi-Community SBM
Computational Threshold for Tensor PCA
Posed by Richard & Montanari (2014)
Sharp minimax rate for central-space estimation in the low-signal SIR regime
Sourced from the work of Dongming Huang, Songtao Tian, Qian Lin
Universality of exponential decay of the $d$-th SIR eigenvalue
Sourced from the work of Dongming Huang, Songtao Tian, Qian Lin
Remove the Polylogarithmic Gap to Exact Minimax Optimality
Sourced from the work of Kaizheng Wang
Local-asymptotic limit law with unknown diffusivity levels under vanishing jump
Sourced from the work of Markus Reiß, Claudia Strauch, Lukas Trottner
Multiple change-point inference for piecewise constant diffusivity
Sourced from the work of Markus Reiß, Claudia Strauch, Lukas Trottner
Higher-dimensional change-set (interface) estimation for discontinuous diffusivity
Sourced from the work of Markus Reiß, Claudia Strauch, Lukas Trottner
Rigorous tempered-overfitting guarantees for MDL ReLU interpolators under label noise
Sourced from the work of Sourav Chatterjee, Timothy Sudijono
Does the score-matched optimal convex estimator attain the full semiparametric efficiency bound?
Sourced from the work of Oliver Y. Feng, Yu-Chun Kao, Min Xu, Richard J. Samworth
Quantify and characterize the efficiency gap induced by convex-loss restriction for non-log-concave errors
Sourced from the work of Oliver Y. Feng, Yu-Chun Kao, Min Xu, Richard J. Samworth
Finite-sample error-rate control and power guarantees under the linear subspace model
Sourced from the work of Amitay Eldar, Keren Mor Waknin, Samuel Davenport, Tamir Bendory, Armin Schwartzman, Yoel Shkolnisky
Complete Generic Identifiability in Cyclic LiNGAM with General Confounding
Sourced from the work of Daniele Tramontano, Jalal Etesami, Mathias Drton
Full Causal Graph Recovery Under Arbitrary Nonlinear Latent Confounding
Sourced from the work of Daniele Tramontano, Jalal Etesami, Mathias Drton
Provable Estimation Procedures Under the New Identifiability Criterion
Sourced from the work of Daniele Tramontano, Jalal Etesami, Mathias Drton
State evolution for gradient descent beyond the mean-field scaling
Sourced from the work of Qiyang Han, Xiaocong Xu
Sharp characterization of misspecification robustness for debiased GD inference
Sourced from the work of Qiyang Han, Xiaocong Xu
Log-factor-free adaptive contraction on general Minkowski-dimensional domains
Sourced from the work of Tao Tang, Xiuyuan Cheng, Nan Wu, David Dunson
Optimal adaptation beyond compact manifolds
Sourced from the work of Tao Tang, Xiuyuan Cheng, Nan Wu, David Dunson
Generalization-error estimation beyond Gaussian designs
Sourced from the work of Pierre C Bellec, Kai Tan
Early-stopping optimality without a U-shape risk assumption
Sourced from the work of Pierre C Bellec, Kai Tan
Machine-learning debiased efficient estimation under generalized data-fusion alignments
Sourced from the work of Ellen Sandra Graham, Marco Carone, Andrea Rotnitzky
Beyond smooth finite-dimensional targets in unified semiparametric data fusion
Sourced from the work of Ellen Sandra Graham, Marco Carone, Andrea Rotnitzky
Polynomial-time warm initialization at statistically optimal thresholds
Sourced from the work of Wanteng Ma, Dong Xia
Sharp computational lower bounds for valid inference in the intermediate regime
Sourced from the work of Wanteng Ma, Dong Xia
General-rank intrinsic Cramér–Rao lower bound on Tucker manifolds
Sourced from the work of Wanteng Ma, Dong Xia