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Computing the marginal likelihood or evidence is one of the core challenges in Bayesian analysis. While there are many established methods for estimating this quantity, they predominantly rely on using a large number of posterior samples…

统计计算 · 统计学 2021-02-26 Eric Chuu , Debdeep Pati , Anirban Bhattacharya

Aiming at the problems of computational inefficiency and insufficient interpretability faced by large models in complex tasks such as multi-round reasoning and multi-modal collaboration, this study proposes a three-layer collaboration…

计算与语言 · 计算机科学 2025-09-23 Luyan Zhang

Model predictive control (MPC) is an optimal control method that predicts the future states of the system being controlled and estimates the optimal control inputs that drive the predicted states to the required reference. The computations…

系统与控制 · 电气工程与系统科学 2023-05-05 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

This paper consider an MMLE (Modified Maximum Likelihood Estimation) based scheme to estimate software reliability using exponential distribution. The MMLE is one of the generalized frameworks of software reliability models of Non…

软件工程 · 计算机科学 2011-11-09 R. Satya Prasad , Bandla Sreenivasa Rao , R. R. L. Kantam

A common setting of reinforcement learning (RL) is a Markov decision process (MDP) in which the environment is a stochastic discrete-time dynamical system. Whereas MDPs are suitable in such applications as video-games or puzzles, physical…

机器人学 · 计算机科学 2022-11-29 Pavel Osinenko , Dmitrii Dobriborsci , Grigory Yaremenko , Georgiy Malaniya

A promising way to improve the sample efficiency of reinforcement learning is model-based methods, in which many explorations and evaluations can happen in the learned models to save real-world samples. However, when the learned model has a…

机器学习 · 计算机科学 2022-09-14 Haoxin Lin , Yihao Sun , Jiaji Zhang , Yang Yu

This work studies the properties of the maximum likelihood estimator (MLE) of a non-linear model with Gaussian errors and multidimensional parameter. The observations are collected in a two-stage experimental design and are dependent since…

统计理论 · 数学 2019-11-01 Nancy Flournoy , Caterina May , Chiara Tommasi

Clinical trials are the gold standard for assessing the effectiveness and safety of drugs for treating diseases. Given the vast design space of drug molecules, elevated financial cost, and multi-year timeline of these trials, research on…

机器学习 · 计算机科学 2025-01-14 Yiqing Zhang , Xiaozhong Liu , Fabricio Murai

Randomization is a common technique used in clinical trials to eliminate potential bias and confounders in a patient population. Equal allocation to treatment groups is the standard due to its optimal efficiency in many cases. However, in…

应用统计 · 统计学 2020-04-09 Thevaa Chandereng , Xiaodan Wei , Rick Chappell

Translating machine learning algorithms into clinical applications requires addressing challenges related to interpretability, such as accounting for the effect of confounding variables (or metadata). Confounding variables affect the…

机器学习 · 计算机科学 2022-07-12 Anthony Vento , Qingyu Zhao , Robert Paul , Kilian M. Pohl , Ehsan Adeli

Modern randomization methods in clinical trials are invariably adaptive, meaning that the assignment of the next subject to a treatment group uses the accumulated information in the trial. Some of the recent adaptive randomization methods…

统计方法学 · 统计学 2024-02-12 Alan R. Vazquez , Weng Kee Wong

A practical limitation of cluster randomized controlled trials (cRCTs) is that the number of available clusters may be small, resulting in an increased risk of baseline imbalance under simple randomization. Constrained randomization…

统计方法学 · 统计学 2022-01-19 Yunji Zhou , Elizabeth L. Turner , Ryan A. Simmons , Fan Li

In clinical trials, response-adaptive randomization (RAR) has the appealing ability to assign more subjects to better-performing treatments based on interim results. The traditional RAR strategy alters the randomization ratio on a…

统计方法学 · 统计学 2021-10-01 David Merrell , Thevaa Chandereng , Yeonhee Park

The ability to rigorously estimate the failure rates of large language models (LLMs) is a prerequisite for their safe deployment. Currently, however, practitioners often face a tradeoff between expensive human gold standards and potentially…

计算与语言 · 计算机科学 2026-04-07 Minghe Shen , Ananth Balashankar , Adam Fisch , David Madras , Miguel Rodrigues

Seamless phase II/III trials have become a cornerstone of modern drug development, offering a means to accelerate evaluation while maintaining statistical rigor. However, most existing inference procedures are model-based, designed…

统计方法学 · 统计学 2025-12-17 Kun Yi , Lucy Xia

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

统计方法学 · 统计学 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

Participants in clinical trials are often viewed as a unique, finite population. Yet, statistical analyses often assume that participants were randomly sampled from a larger population. Under Complete Randomization, Randomization-Based…

统计方法学 · 统计学 2025-10-09 Jonathan J. Chipman , Oleksandr Sverdlov , Diane Uschner

Real-World Data (RWD), with its large sample sizes and rich clinical detail, offers a compelling alternative to randomized controlled trials (RCTs) for studying treatment effects in diverse and complex patient populations. However, its…

应用统计 · 统计学 2026-05-26 Yifei Xu , Hwiyoung Lee , Zhenyao Ye , Yezhi Pan , Jingsong Zhou , Yun Yang , Chixiang Chen , Shuo Chen

This paper studies the evaluation of methods for targeting the allocation of limited resources to a high-risk subpopulation. We consider a randomized controlled trial to measure the difference in efficiency between two targeting methods and…

应用统计 · 统计学 2018-04-04 Eric Potash

Sequential Monte Carlo methods, also known as particle methods, are a popular set of techniques for approximating high-dimensional probability distributions and their normalizing constants. These methods have found numerous applications in…

统计计算 · 统计学 2021-06-23 Jeremy Heng , Adrian N. Bishop , George Deligiannidis , Arnaud Doucet