arXiv Machine Learning

The Interplay Between Interpolation and Aggregation in Regression: Optimal Sample Complexity

arXiv:2605. 29819v2 Announce Type: replace Abstract: This work investigates theoretically the interplay between interpolation and aggregation in regression.

arXiv Machine Learning
Aug 5

Benign interpolation and Occam's razor

arXiv:2608. 03386v1 Announce Type: new Abstract: Contemporary deep learning methods generalize well even when they fit their training data perfectly, a phenomenon known as benign interpolation.

By Tom F. Sterkenburg, Daniel A. Herrmann, Jan-Willem Romeijn
arXiv Machine Learning
Aug 20

Lost in Aggregation: How Benchmarks Overlook Irreplaceable Model Strengths

The paper argues that typical tabular machine learning benchmarks, which aggregate results by averaging scores or ranks, can hide which models are essential for achieving the best performance on specific datasets. It proposes evaluating models against a data‑centric peak performance frontier, classifying them as irreplaceable, sufficient, redundant, or fallible based on their position relative to other models. Applying this to the TabArena benchmark shows that common aggregation metrics mainly capture consistency and failure avoidance, but fail to reflect dataset‑specific strengths, leading to a misalignment between aggregate rewards and true model utility.

By Andrej Tschalzev, Stefan L\"udtke, Heiner Stuckenschmidt, Christian Bartelt
arXiv Statistics ML
Sep 7

Reconciling Universal and Uniform Learning with $Q$-Aggregation

The paper investigates regression with bounded responses, comparing two learning frameworks: model selection aggregation, which requires improper algorithms to achieve minimax excess risk, and universal learning, where empirical risk minimization suffices for exponential learning rates. For finite hypothesis classes, the authors show that the $Q$-aggregation estimator simultaneously attains minimax optimal tails and exponential universal rates, while other common estimators fail to do so. For countably infinite classes, they prove an inherent trade‑off between exponential universal and minimax uniform rates, resolved by combining optimal algorithms from each framework via $Q$-aggregation.

By Mikael M{\o}ller H{\o}gsgaard, Patrick Rebeschini, Tobias Wegel
arXiv Machine Learning
Jul 28

Learning Distributions from Multiple Data Providers

arXiv:2607. 24732v1 Announce Type: cross Abstract: Motivated by learning from heterogeneous and overlapping data providers, we study a stylized model of distribution learning from restricted conditional samples.

By Jon Kleinberg, Amin Saberi, Xizhi Tan, Grigoris Velegkas
arXiv Machine Learning
Jul 9

Any-Dimensional Learning by Sampling

arXiv:2607. 07680v1 Announce Type: cross Abstract: Many machine learning models are defined for inputs of different sizes, such as point clouds containing different numbers of points, sequences of tokens of different lengths, and graphs on different numbers of nodes.

By Eitan Levin, Venkat Chandrasekaran
arXiv Machine Learning
Jun 24

Relatively Smart: A New Approach for Instance-Optimal Learning

arXiv:2603. 01346v2 Announce Type: replace Abstract: We revisit the framework of Smart PAC learning, which seeks supervised learners which compete with semi-supervised learners that are provided full knowledge of the marginal distribution on unlabeled data.

By Shaddin Dughmi, Alireza F. Pour