arXiv:2609.39512v1 Announce Type: new
Abstract: The small-sample learning problem remains a fundamental challenge in machine learning because limited training data lead to unstable model estimation a...
By Hong Zheng
arXiv:2605.28517v2 Announce Type: replace-cross
Abstract: Stochastic gradient descent with momentum (SGDM) is one of the most widely used optimization algorithms in machine learning. While optimizati...
By Yunwen Lei, Zimeng Wang, Xiaoming Yuan
Uniform stability controls how much one training example can change the loss at any test point. A new logarithmic-free upper bound shows that a $γ$-uniformly stable algorithm with loss in $[0,L]$ has...
arXiv:2604. 10727v2 Announce Type: replace-cross Abstract: Classical information-theoretic learning bounds typically rely on KL mutual information and moment-generating-function (MGF) arguments, which are well matched to bounded or sub-Gaussian losses but can be ineffective when losses or rewards are heavy-tailed.
By Huiming Zhang, Binghan Li, Wan Tian, Qiang Sun
arXiv:2601.11701v2 Announce Type: replace-cross
Abstract: Algorithmic stability is a central concept in statistics and learning theory that measures how sensitive an algorithm's output is to small ch...
By Abhinav Chakraborty, Yuetian Luo, Rina Foygel Barber
The paper discusses the data processing inequality (DPI) in statistics, which states that a stochastically modified experiment cannot have a lower Bayes risk than the original. It shows that this classical DPI does not hold for constrained learning problems common in machine learning, where the model class is limited. The authors propose a generalized DPI that applies to constrained Bayes risks, linking it to a set containment condition on a superprediction set, and provide sufficient conditions for this containment.
By Laura Iacovissi, Rabanus Derr, Robert C. Williamson