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This work interprets and generalizes consensus-type algorithms as switching dynamics leading to symmetrization of some vector variables with respect to the actions of a finite group. We show how the symmetrization framework we develop…

Quantum Physics · Physics 2015-06-17 Luca Mazzarella , Francesco Ticozzi , Alain Sarlette

Knowledge distillation is a technique to imitate a performance that a deep learning model has, but reduce the size on another model. It applies the outputs of a model to train another model having comparable accuracy. These two distinct…

Machine Learning · Computer Science 2025-03-13 Kazuhiro Matsuyama , Usman Anjum , Satoko Matsuyama , Tetsuo Shoda , Justin Zhan

Fine-tuning LLMs on tabular classification tasks can lead to the phenomenon of fine-tuning multiplicity where equally well-performing models make conflicting predictions on the same input. Fine-tuning multiplicity can arise due to…

Machine Learning · Computer Science 2025-06-05 Faisal Hamman , Pasan Dissanayake , Saumitra Mishra , Freddy Lecue , Sanghamitra Dutta

The deployment of pre-trained perception models in novel environments often leads to performance degradation due to distributional shifts. Although recent artificial intelligence approaches for metacognition use logical rules to…

Most image restoration problems are ill-conditioned or ill-posed and hence involve significant uncertainty. Quantifying this uncertainty is crucial for reliably interpreting experimental results, particularly when reconstructed images…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Jasper M. Everink , Bernardin Tamo Amougou , Marcelo Pereyra

Deep learning requires regularization mechanisms to reduce overfitting and improve generalization. We address this problem by a new regularization method based on distributional robust optimization. The key idea is to modify the…

Machine Learning · Computer Science 2020-06-08 Aurora Cobo Aguilera , Antonio Artés-Rodríguez , Fernando Pérez-Cruz , Pablo Martínez Olmos

Traditional statistical estimation, or statistical inference in general, is static, in the sense that the estimate of the quantity of interest does not change the future evolution of the quantity. In some sequential estimation problems…

Machine Learning · Computer Science 2021-12-01 Aolin Xu

In this paper, we propose a stochastic optimization method that adaptively controls the sample size used in the computation of gradient approximations. Unlike other variance reduction techniques that either require additional storage or the…

Optimization and Control · Mathematics 2017-11-01 Raghu Bollapragada , Richard Byrd , Jorge Nocedal

Conformal prediction, which makes no distributional assumptions about the data, has emerged as a powerful and reliable approach to uncertainty quantification in practical applications. The nonconformity measure used in conformal prediction…

Machine Learning · Computer Science 2024-10-15 Yuko Kato , David M. J. Tax , Marco Loog

Self-consistency-based approaches, which involve repeatedly sampling multiple outputs and selecting the most consistent one as the final response, prove to be remarkably effective in improving the factual accuracy of large language models.…

Computation and Language · Computer Science 2025-01-24 Yi Cheng , Xiao Liang , Yeyun Gong , Wen Xiao , Song Wang , Yuji Zhang , Wenjun Hou , Kaishuai Xu , Wenge Liu , Wenjie Li , Jian Jiao , Qi Chen , Peng Cheng , Wayne Xiong

In using data assimilation to import information from observations to estimate parameters and state variables of a model, one must assume a distribution for the noise in the measurements and in the model errors. Using the path integral…

Chaotic Dynamics · Physics 2010-12-10 Henry D. I. Abarbanel

Simulated annealing is an effective and general means of optimization. It is in fact inspired by metallurgy, where the temperature of a material determines its behavior in thermodynamics. Likewise, in simulated annealing, the actions that…

Machine Learning · Computer Science 2020-07-01 Avrim Blum , Chen Dan , Saeed Seddighin

We study self-distillation in settings where supervision is unreliable: there are no ground truth labels, verifiable rewards, or external graders to evaluate answers. We focus on document-grounded question answering with asymmetric context,…

Machine Learning · Computer Science 2026-02-25 Alex Stein , Furong Huang , Tom Goldstein

Self-Consistency samples diverse reasoning chains with answers and chooses the final answer by majority voting. It is based on forward reasoning and cannot further improve performance by sampling more reasoning chains when saturated. To…

Computation and Language · Computer Science 2024-06-06 Weisen Jiang , Han Shi , Longhui Yu , Zhengying Liu , Yu Zhang , Zhenguo Li , James T. Kwok

Large Language Models (LLMs) are increasingly applied to complex tasks that require extended reasoning. In such settings, models often benefit from diverse chains-of-thought to arrive at multiple candidate solutions. This requires two…

Machine Learning · Computer Science 2025-10-08 Xueyan Li , Guinan Su , Mrinmaya Sachan , Jonas Geiping

Large language models (LLMs) have achieved widespread success on a variety of in-context few-shot tasks, but this success is typically evaluated via correctness rather than consistency. We argue that self-consistency is an important…

Computation and Language · Computer Science 2024-02-09 Angelica Chen , Jason Phang , Alicia Parrish , Vishakh Padmakumar , Chen Zhao , Samuel R. Bowman , Kyunghyun Cho

Consistency models imitate the multi-step sampling of score-based diffusion in a single forward pass of a neural network. They can be learned in two ways: consistency distillation and consistency training. The former relies on the true…

Machine Learning · Computer Science 2025-07-03 Thibaut Issenhuth , Sangchul Lee , Ludovic Dos Santos , Jean-Yves Franceschi , Chansoo Kim , Alain Rakotomamonjy

Reasoning distillation aims to transfer multi-step reasoning capabilities from large language models to smaller, more efficient ones. While recent methods have shown promising gains, they typically rely on static teacher-student hierarchies…

Machine Learning · Computer Science 2026-05-12 Khouloud Saadi , Di Wang

In this paper we deal with stochastic optimization problems where the data distributions change in response to the decision variables. Traditionally, the study of optimization problems with decision-dependent distributions has assumed…

Optimization and Control · Mathematics 2023-10-05 Zifan Wang , Changxin Liu , Thomas Parisini , Michael M. Zavlanos , Karl H. Johansson

Research interests in the robustness of deep neural networks against domain shifts have been rapidly increasing in recent years. Most existing works, however, focus on improving the accuracy of the model, not the calibration performance…

Machine Learning · Computer Science 2024-02-26 Wonjeong Choi , Jungwuk Park , Dong-Jun Han , Younghyun Park , Jaekyun Moon
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