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Group Relative Policy Optimization (GRPO) was introduced and used recently for promoting reasoning in LLMs under verifiable (binary) rewards. We show that the mean + variance calibration of these rewards induces a weighted contrastive loss…

Machine Learning · Computer Science 2025-10-22 Youssef Mroueh

As the size and richness of available datasets grow larger, the opportunities for solving increasingly challenging problems with algorithms learning directly from data grow at the same pace. Consequently, the capability of learning…

Machine Learning · Computer Science 2019-12-13 Raffaello Camoriano

The impact of machine learning models on healthcare will depend on the degree of trust that healthcare professionals place in the predictions made by these models. In this paper, we present a method to provide people with clinical expertise…

Machine Learning · Computer Science 2021-03-05 Aniruddh Raghu , John Guttag , Katherine Young , Eugene Pomerantsev , Adrian V. Dalca , Collin M. Stultz

We study distributionally robust quantile regression using type-$p$ Wasserstein ambiguity sets. We derive a closed-form expression for the worst-case quantile regression loss under general $p$-Wasserstein uncertainty. We further give a…

Statistics Theory · Mathematics 2026-03-17 Chunxu Zhang , Tiantian Mao , Ruodu Wang

This paper studies $\ell_1$ regularization with high-dimensional features for support vector machines with a built-in reject option (meaning that the decision of classifying an observation can be withheld at a cost lower than that of…

Statistics Theory · Mathematics 2012-01-06 Marten Wegkamp , Ming Yuan

Nowadays both commercial and open-source academic LLM have become the mainstream models of NLP. However, there is still a lack of research on LLM consistency, meaning that throughout the various stages of LLM research and deployment, its…

Computation and Language · Computer Science 2024-03-05 Fufangchen Zhao , Guoqiang Jin , Jiaheng Huang , Rui Zhao , Fei Tan

We consider the problem of training probabilistic conditional random fields (CRFs) in the context of a task where performance is measured using a specific loss function. While maximum likelihood is the most common approach to training CRFs,…

Machine Learning · Statistics 2015-03-19 Maksims N. Volkovs , Hugo Larochelle , Richard S. Zemel

It is a commonly held belief that enforcing invariance improves generalisation. Although this approach enjoys widespread popularity, it is only very recently that a rigorous theoretical demonstration of this benefit has been established. In…

Machine Learning · Statistics 2021-12-21 Bryn Elesedy

Kernel methods are among the most popular techniques in machine learning. From a frequentist/discriminative perspective they play a central role in regularization theory as they provide a natural choice for the hypotheses space and the…

Machine Learning · Statistics 2012-04-17 Mauricio A. Alvarez , Lorenzo Rosasco , Neil D. Lawrence

Instruction-following language models are trained to be helpful and safe, yet their safety behavior can deteriorate under benign fine-tuning and worsen under adversarial updates. Existing defenses often offer limited protection or force a…

Computation and Language · Computer Science 2026-05-12 Jyotin Goel , Souvik Maji , Pratik Mazumder

In recent years several adversarial attacks and defenses have been proposed. Often seemingly robust models turn out to be non-robust when more sophisticated attacks are used. One way out of this dilemma are provable robustness guarantees.…

Machine Learning · Computer Science 2020-04-27 Francesco Croce , Matthias Hein

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.…

Machine Learning · Computer Science 2016-10-04 Ibrahim Alabdulmohsin

We study continuity and robustness properties of infinite-horizon average expected cost problems with respect to (controlled) transition kernels, and applications of these results to the problem of robustness of control policies designed…

Systems and Control · Electrical Eng. & Systems 2020-12-22 Ali Devran Kara , Maxim Raginsky , Serdar Yuksel

We study the transformed hazards model with time-dependent covariates observed intermittently for the censored outcome. Existing work assumes the availability of the whole trajectory of the time-dependent covariates, which is unrealistic.…

Methodology · Statistics 2023-09-19 Dayu Sun , Zhuowei Sun , Xingqiu Zhao , Hongyuan Cao

A key assumption in supervised learning is that training and test data follow the same probability distribution. However, this fundamental assumption is not always satisfied in practice, e.g., due to changing environments, sample selection…

Machine Learning · Computer Science 2021-12-21 Nan Lu , Tianyi Zhang , Tongtong Fang , Takeshi Teshima , Masashi Sugiyama

Predicting patient survival probabilities based on observed covariates is an important assessment in clinical practice. These patient-specific covariates are often measured over multiple follow-up appointments. It is then of interest to…

Methodology · Statistics 2021-11-11 Annabel L. Davies , Anthony C. C. Coolen , Tobias Galla

This paper reviews the checkered history of predictive distributions in statistics and discusses two developments, one from recent literature and the other new. The first development is bringing predictive distributions into machine…

Machine Learning · Computer Science 2017-10-25 Vladimir Vovk , Ilia Nouretdinov , Valery Manokhin , Alex Gammerman

Although language model scores are often treated as probabilities, their reliability as probability estimators has mainly been studied through calibration, overlooking other aspects. In particular, it is unclear whether language models…

Computation and Language · Computer Science 2024-10-01 Eitan Wagner , Yuli Slavutsky , Omri Abend

This paper investigates the critical role of eigenalignments between the kernel matrix and learning targets in achieving robust generalization in learning problems. We establish a direct connection between generalization performance in…

Machine Learning · Statistics 2026-05-18 Yang Liu , Ernest Fokoue , Richard Lange , Daniel Krutz

This research delves deeply into Meta Reinforcement Learning (Meta RL) through a exploration focusing on defining generalization limits and ensuring convergence. By employing a approach this article introduces an innovative theoretical…

Machine Learning · Computer Science 2024-05-24 Cangqing Wang , Mingxiu Sui , Dan Sun , Zecheng Zhang , Yan Zhou