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We study a class of nonsmooth stochastic optimization problems on Riemannian manifolds. In this work, we propose MARS-ADMM, the first stochastic Riemannian alternating direction method of multipliers with provable near-optimal complexity…

Optimization and Control · Mathematics 2025-12-30 Jiachen Jin , Kangkang Deng , Hongxia Wang

Tasks requiring deductive reasoning, especially those involving multiple steps, often demand adaptive strategies such as intermediate generation of rationales or programs, as no single approach is universally optimal. While Language Models…

Artificial Intelligence · Computer Science 2024-10-22 Rongxing Liu , Kumar Shridhar , Manish Prajapat , Patrick Xia , Mrinmaya Sachan

As multi-modal large language models (MLLMs) are increasingly applied to complex reasoning tasks, the diversity and quality of reasoning paths become crucial factors affecting their performance. Although current methods aim to enhance…

Neural and Evolutionary Computing · Computer Science 2024-12-12 Biqing Qi , Zhouyi Qian , Yiang Luo , Junqi Gao , Dong Li , Kaiyan Zhang , Bowen Zhou

Selecting a single high-quality output from multiple stochastic generations remains a fundamental challenge for large language models (LLMs), particularly in open-ended tasks where no canonical answer exists. While Best-of-N and…

Computation and Language · Computer Science 2026-04-10 Hyeong Kyu Choi , Sharon Li

The application of Reinforcement Learning with Verifiable Rewards (RLVR) to mathematical and coding domains has demonstrated significant improvements in the reasoning and problem-solving abilities of Large Language Models. Despite its…

Machine Learning · Computer Science 2025-10-28 Farid Bagirov , Mikhail Arkhipov , Ksenia Sycheva , Evgeniy Glukhov , Egor Bogomolov

We examine a wide class of stochastic approximation algorithms for solving (stochastic) nonlinear problems on Riemannian manifolds. Such algorithms arise naturally in the study of Riemannian optimization, game theory and optimal transport,…

Optimization and Control · Mathematics 2022-12-29 Mohammad Reza Karimi , Ya-Ping Hsieh , Panayotis Mertikopoulos , Andreas Krause

We develop a new approach to robust adaptive beamforming in the presence of signal steering vector errors. Since the signal steering vector is known imprecisely, its presumed (prior) value is used to find a more accurate estimate of the…

Information Theory · Computer Science 2012-05-15 Arash Khabbazibasmenj , Sergiy A. Vorobyov , Aboulnasr Hassanien

Test-time scaling via explicit reasoning trajectories significantly boosts large language model (LLM) performance but often triggers overthinking. To explore this, we analyze reasoning through two lenses: Reasoning Length Dynamics, which…

Computation and Language · Computer Science 2026-01-14 Zihao Wei , Liang Pang , Jiahao Liu , Wenjie Shi , Jingcheng Deng , Shicheng Xu , Zenghao Duan , Fei Sun , Huawei Shen , Xueqi Cheng

Activation steering methods were shown to be effective in conditioning language model generation by additively intervening over models' intermediate representations. However, the evaluation of these techniques has so far been limited to…

Computation and Language · Computer Science 2024-12-02 Daniel Scalena , Gabriele Sarti , Malvina Nissim

Recent progress in randomized motion planners has led to the development of a new class of sampling-based algorithms that provide asymptotic optimality guarantees, notably the RRT* and the PRM* algorithms. Careful analysis reveals that the…

Robotics · Computer Science 2016-09-21 Oktay Arslan , Panagiotis Tsiotras

Language models have demonstrated remarkable capabilities in reasoning tasks through test-time scaling techniques like best-of-N sampling and tree search. However, these approaches often demand substantial computational resources, creating…

Computation and Language · Computer Science 2026-05-22 Woomin Song , Saket Dingliwal , Sai Muralidhar Jayanthi , Bhavana Ganesh , Jinwoo Shin , Aram Galstyan , Sravan Babu Bodapati

Large Language Models (LLMs) often generate inconsistent responses when prompted with semantically equivalent paraphrased inputs. Recently, activation steering, a technique that modulates LLMs' behaviours by adjusting their latent…

Computation and Language · Computer Science 2025-01-23 Jingyuan Yang , Rongjun Li , Weixuan Wang , Ziyu Zhou , Zhiyong Feng , Wei Peng

Simulating realistic financial time series is essential for stress testing, scenario generation, and decision-making under uncertainty. Despite advances in deep generative models, there is no consensus metric for their evaluation. We focus…

Machine Learning · Computer Science 2025-09-09 Ruben Bontorno , Songyan Hou

Simultaneous behavioral and electrophysiological recordings call for new methods to reveal the interactions between neural activity and behavior. A milestone would be an interpretable model of the co-variability of spiking activity and…

Neurons and Cognition · Quantitative Biology 2023-12-04 Christos Sourmpis , Carl Petersen , Wulfram Gerstner , Guillaume Bellec

As a highly expressive generative model, diffusion models have demonstrated exceptional success across various domains, including image generation, natural language processing, and combinatorial optimization. However, as data distributions…

Machine Learning · Computer Science 2025-10-27 Myunsoo Kim , Donghyeon Ki , Seong-Woong Shim , Byung-Jun Lee

Generative reward models with parallel sampling have enabled effective test-time scaling for reasoning tasks. Current approaches employ pointwise scoring of individual solutions or pairwise comparisons. However, pointwise methods…

Machine Learning · Computer Science 2025-07-25 Shubham Toshniwal , Ivan Sorokin , Aleksander Ficek , Ivan Moshkov , Igor Gitman

While Large Reasoning Models (LRMs) have achieved remarkable performance by scaling test-time compute, they frequently suffer from Cognitive Inertia, a failure pattern manifesting as either overthinking (inertia of motion) or reasoning…

Machine Learning · Computer Science 2026-02-02 Seojin Lee , ByeongJeong Kim , Hwanhee Lee

Current methods for end-to-end constructive neural combinatorial optimization usually train a policy using behavior cloning from expert solutions or policy gradient methods from reinforcement learning. While behavior cloning is…

Machine Learning · Computer Science 2024-11-05 Jonathan Pirnay , Dominik G. Grimm

While a lot of recent research focuses on enhancing the textual reasoning capabilities of Large Language Models (LLMs) by optimizing the multi-agent framework or reasoning chains, several benchmark tasks can be solved with 100\% success…

Computation and Language · Computer Science 2025-03-04 Yongchao Chen , Harsh Jhamtani , Srinagesh Sharma , Chuchu Fan , Chi Wang

In this article we consider the problem of choosing an optimal sampling scheme for the regression problem simultaneously with that of model selection. We consider a batch type approach and an on-line approach following algorithms recently…

Statistics Theory · Mathematics 2018-01-30 Ana Karina Fermin , Carenne Ludeña