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Consider a real-valued function that can only be observed with stochastic noise at a finite set of design points within a Euclidean space. We wish to determine whether there exists a convex function that goes through the true function…

其他统计学 · 统计学 2018-07-30 Nanjing Jian , Shane G. Henderson

Monte Carlo simulations are based on the manipulation of random numbers to evaluate probable outcomes, with applicability in a variety of different fields. By assigning probabilities, which can be determined a priori, to various events, it…

物理教育 · 物理学 2022-01-03 Parasuraman Swaminathan

We consider the following sequential decision problem. Given a set of items of unknown utility, we need to select one of as high a utility as possible (``the selection problem''). Measurements (possibly noisy) of item values prior to…

人工智能 · 计算机科学 2009-06-18 David Tolpin , Solomon Eyal Shimony

Probabilistic prediction of sequences from images and other high-dimensional data is a key challenge, particularly in risk-sensitive applications. In these settings, it is often desirable to quantify the uncertainty associated with the…

机器学习 · 计算机科学 2024-10-31 Qidong Yang , Weicheng Zhu , Joseph Keslin , Laure Zanna , Tim G. J. Rudner , Carlos Fernandez-Granda

Large language models (LLMs) have demonstrated promising performance on medical benchmarks; however, their ability to perform medical calculations, a crucial aspect of clinical decision-making, remains underexplored and poorly evaluated.…

计算与语言 · 计算机科学 2026-02-03 Benlu Wang , Iris Xia , Yifan Zhang , Junda Wang , Feiyun Ouyang , Shuo Han , Arman Cohan , Hong Yu , Zonghai Yao

We study Monte Carlo estimation of the expected value of sample information (EVSI) which measures the expected benefit of gaining additional information for decision making under uncertainty. EVSI is defined as a nested expectation in which…

数值分析 · 数学 2020-10-05 Tomohiko Hironaka , Michael B. Giles , Takashi Goda , Howard Thom

Knowing the reliability of a model's response is essential in practical applications. Given the strong generation capabilities of large language models (LLMs), research has focused on generating verbalized confidence. This approach is…

计算与语言 · 计算机科学 2026-04-02 Ante Wang , Weizhi Ma , Yang Liu

Monte Carlo methods play important part in modern statistical physics. The application of these methods suffer from two main difficulties.The first is caused by the relatively small number of particles that can participate in any numerical…

统计力学 · 物理学 2007-05-23 A. Brandt , V. Ilyin

Tabular prediction traditionally relies on gradient-boosted decision trees and deep learning models, which excel in specific tasks but lack interpretability and transferability. Reasoning large language models (LLMs) promise cross-task…

机器学习 · 计算机科学 2026-03-11 Pengxiang Cai , Zihao Gao , Wanchen Lian , Jintai Chen

While Multimodal Large Language Models (MLLMs) have achieved impressive progress in vision-language understanding, they still struggle with complex multi-step reasoning, often producing logically inconsistent or partially correct solutions.…

人工智能 · 计算机科学 2025-06-06 Lingxiao Du , Fanqing Meng , Zongkai Liu , Zhixiang Zhou , Ping Luo , Qiaosheng Zhang , Wenqi Shao

Diffusion language models (DLMs) have recently emerged as a compelling alternative to autoregressive generation, offering parallel generation and improved global coherence. During inference, DLMs generate text by iteratively denoising…

Recent advancements in reinforcement learning with verifiable rewards (RLVR) have significantly improved the complex reasoning ability of vision-language models (VLMs). However, its outcome-level supervision is too coarse to diagnose and…

计算机视觉与模式识别 · 计算机科学 2026-04-28 Yingqian Min , Kun Zhou , Yifan Li , Yuhuan Wu , Han Peng , Yifan Du , Wayne Xin Zhao , Min Yang , Ji-Rong Wen

Pricing options is an important problem in financial engineering. In many scenarios of practical interest, financial option prices associated to an underlying asset reduces to computing an expectation w.r.t.~a diffusion process. In general,…

统计计算 · 统计学 2016-08-12 Deborshee Sen , Ajay Jasra , Yan Zhou

A major challenge for the operation of large language models (LLMs) is how to predict whether a specific LLM will produce sufficiently high-quality output for a given query. Existing approaches rely on external classifiers, most commonly…

计算与语言 · 计算机科学 2026-05-12 Hossein Hosseini Kasnavieh , Gholamreza Haffari , Chris Leckie , Adel N. Toosi

Partially observable Markov decision processes (POMDPs) offer a principled formalism for planning under state and transition uncertainty. Despite advances made towards solving large POMDPs, obtaining performant policies under limited…

人工智能 · 计算机科学 2026-04-03 Zakariya Laouar , Qi Heng Ho , Zachary Sunberg

The problem of optimising functions with intractable gradients frequently arise in machine learning and statistics, ranging from maximum marginal likelihood estimation procedures to fine-tuning of generative models. Stochastic approximation…

机器学习 · 统计学 2026-01-30 James Cuin , Davide Carbone , Yanbo Tang , O. Deniz Akyildiz

Large language models (LLMs) excel on new tasks without additional training, simply by providing natural language prompts that demonstrate how the task should be performed. Prompt ensemble methods comprehensively harness the knowledge of…

计算与语言 · 计算机科学 2024-12-17 Hanxi Liu , Xiaokai Mao , Haocheng Xia , Jian Lou , Jinfei Liu , Kui Ren

In recent times, the standard practice for developing MLLMs is to feed features from vision encoder(s) into the LLM and train with natural language supervision. This approach often causes models to lean towards language comprehension and…

计算机视觉与模式识别 · 计算机科学 2025-10-20 Jitesh Jain , Zhengyuan Yang , Humphrey Shi , Jianfeng Gao , Jianwei Yang

In this paper, we address a method that integrates reinforcement learning into the Monte Carlo tree search to boost online path planning under fully observable environments for automated parking tasks. Sampling-based planning methods under…

人工智能 · 计算机科学 2025-01-03 Xinlong Zheng , Xiaozhou Zhang , Donghao Xu

Large Multimodal Models (LMMs) exhibit impressive cross-modal understanding and reasoning abilities, often assessed through multiple-choice questions (MCQs) that include an image, a question, and several options. However, many benchmarks…

计算机视觉与模式识别 · 计算机科学 2025-02-28 Jinsheng Huang , Liang Chen , Taian Guo , Fu Zeng , Yusheng Zhao , Bohan Wu , Ye Yuan , Haozhe Zhao , Zhihui Guo , Yichi Zhang , Jingyang Yuan , Wei Ju , Luchen Liu , Tianyu Liu , Baobao Chang , Ming Zhang
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