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To stabilize the training of Large Language Models (LLMs), gradient clipping is a nearly ubiquitous heuristic used to alleviate exploding gradients. However, traditional global norm clipping erroneously presupposes gradient homogeneity…

机器学习 · 计算机科学 2026-01-21 Zhiyuan Li , Yuan Wu , Yi Chang

The estimation problem in a high regression model with structured sparsity is investigated. An algorithm using a two steps block thresholding procedure called GR-LOL is provided. Convergence rates are produced: they depend on simple…

统计理论 · 数学 2012-07-10 Mathilde Mougeot , Dominique Picard , Karine Tribouley

Alignment methodologies have emerged as a critical pathway for enhancing language model alignment capabilities. While SFT (supervised fine-tuning) accelerates convergence through direct token-level loss intervention, its efficacy is…

In this note, we examine the aggregation of preferences achieved by the Group Policy Optimisation (GRPO) algorithm, a reinforcement learning method used to train advanced artificial intelligence models such as DeepSeek-R1-Zero and…

机器学习 · 计算机科学 2025-03-14 Milan Vojnovic , Se-Young Yun

Cross-validation is a common method for estimating the predictive performance of machine learning models. In a data-scarce regime, where one typically wishes to maximize the number of instances used for training the model, an approach…

统计方法学 · 统计学 2025-03-25 George I. Austin , Itsik Pe'er , Tal Korem

We propose the holdout randomization test (HRT), an approach to feature selection using black box predictive models. The HRT is a specialized version of the conditional randomization test (CRT; Candes et al., 2018) that uses data splitting…

统计方法学 · 统计学 2021-03-23 Wesley Tansey , Victor Veitch , Haoran Zhang , Raul Rabadan , David M. Blei

One fundamental goal in any learning algorithm is to mitigate its risk for overfitting. Mathematically, this requires that the learning algorithm enjoys a small generalization risk, which is defined either in expectation or in probability.…

机器学习 · 计算机科学 2016-10-04 Ibrahim Alabdulmohsin

Reinforcement learning with verifiable rewards (RLVR), due to the deterministic verification, becomes a dominant paradigm for enhancing the reasoning ability of large language models (LLMs). The community witnesses the rapid change from the…

计算与语言 · 计算机科学 2026-05-08 Mingwei Xu , Hao Fang

In this paper, we introduce a new learning strategy based on a seminal idea of Mojirsheibani (1999, 2000, 2002a, 2002b), who proposed a smart method for combining several classifiers, relying on a consensus notion. In many aggregation…

机器学习 · 统计学 2018-03-09 Aurélie Fischer , Mathilde Mougeot

Reinforcement learning for agentic large language models (LLMs) typically relies on a sparse, trajectory-level outcome reward, making it difficult to evaluate the contribution of individual tool-calls within multi-turn interactions.…

计算与语言 · 计算机科学 2026-05-08 Dingwei Chen , Zefang Zong , Zhipeng Ma , Leo Luo , Yang Li , Chengming Li , Peng Chen , Jie Jiang

A framework previously introduced in [3] for solving a sequence of stochastic optimization problems with bounded changes in the minimizers is extended and applied to machine learning problems such as regression and classification. The…

机器学习 · 计算机科学 2019-04-08 Craig Wilson , Yuheng Bu , Venugopal Veeravalli

Large Language Models (LLMs) often suffer from mode collapse, repeatedly generating the same few completions even when many valid answers exist, limiting their diversity across a wide range of tasks. We introduce Group-Aware Policy…

In linear regression with fixed design, we propose two procedures that aggregate a data-driven collection of supports. The collection is a subset of the $2^p$ possible supports and both its cardinality and its elements can depend on the…

统计理论 · 数学 2016-06-01 Pierre C. Bellec

Minimizing expected loss measured by a proper scoring rule, such as Brier score or log-loss (cross-entropy), is a common objective while training a probabilistic classifier. If the data have experienced dataset shift where the class…

机器学习 · 计算机科学 2021-11-05 Theodore James Thibault Heiser , Mari-Liis Allikivi , Meelis Kull

Effective out-of-distribution (OOD) detection is crucial for the safe deployment of machine learning models in real-world scenarios. However, recent work has shown that OOD detection methods are vulnerable to adversarial attacks,…

机器学习 · 计算机科学 2025-02-28 Hugo Lyons Keenan , Sarah Erfani , Christopher Leckie

Reinforcement Learning with Verifiable Rewards (RLVR) is increasingly viewed as a tree pruning mechanism. However, we identify a systemic pathology termed Recursive Space Contraction (RSC), an irreversible collapse driven by the combined…

人工智能 · 计算机科学 2026-02-06 Tianyi Wang , Long Li , Hongcan Guo , Yibiao Chen , Yixia Li , Yong Wang , Yun Chen , Guanhua Chen

Prediction models often fail if train and test data do not stem from the same distribution. Out-of-distribution (OOD) generalization to unseen, perturbed test data is a desirable but difficult-to-achieve property for prediction models and…

统计方法学 · 统计学 2022-05-25 Lucas Kook , Beate Sick , Peter Bühlmann

We introduce a new recursive aggregation procedure called Bernstein Online Aggregation (BOA). The exponential weights include an accuracy term and a second order term that is a proxy of the quadratic variation as in Hazan and Kale (2010).…

机器学习 · 统计学 2016-09-14 Olivier Wintenberger

Value aggregation is a general framework for solving imitation learning problems. Based on the idea of data aggregation, it generates a policy sequence by iteratively interleaving policy optimization and evaluation in an online learning…

机器学习 · 计算机科学 2018-01-24 Ching-An Cheng , Byron Boots

We consider the problem of variables selection and estimation in linear regression model in situations where the number of parameters diverges with the sample size. We propose the adaptive Generalized Ridge-Lasso (\mbox{AdaGril}) which is…

统计方法学 · 统计学 2013-02-27 Mohammed El Anbari , Abdallah Mkhadri