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Generating optimal plans in highly dynamic environments is challenging. Plans are predicated on an assumed initial state, but this state can change unexpectedly during plan generation, potentially invalidating the planning effort. In this…

Artificial Intelligence · Computer Science 2012-05-14 Christian Fritz , Sheila McIlraith

A popular approach for improving the correctness of output from large language models (LLMs) is Self-Consistency - poll the LLM multiple times and output the most frequent solution. Existing Self-Consistency techniques always generate a…

Computation and Language · Computer Science 2023-11-17 Pranjal Aggarwal , Aman Madaan , Yiming Yang , Mausam

It has long been noticed that the efficacy observed in small early phase studies is generally better than that observed in later larger studies. Historically, the inflation of the efficacy results from early proof-of-concept studies is…

Methodology · Statistics 2020-06-11 Yongming Qu , Yu Du , Ying Zhang , Lei Shen

In this work, we develop an adaptive algorithm for the efficient numerical solution of the minimum compliance problem in topology optimization. The algorithm employs the phase field approximation and continuous density field. The adaptive…

Optimization and Control · Mathematics 2024-04-18 Bangti Jin , Jing Li , Yifeng Xu , Shengfeng Zhu

Phase I dose-finding trials in oncology seek to find the maximum tolerated dose (MTD) of a drug under a specific schedule. Evaluating drug-schedules aims at improving treatment safety while maintaining efficacy. However, while we can…

Combination drug therapies hold significant promise for enhancing treatment efficacy, particularly in fields such as oncology, immunotherapy, and infectious diseases. However, designing clinical trials for these regimens poses unique…

Methodology · Statistics 2025-06-04 Nan Miles Xi , Man Mandy Jin , Lin Wang , Xin Huang

We study piecewise affine policies for multi-stage adjustable robust optimization (ARO) problems with non-negative right-hand side uncertainty. First, we construct new dominating uncertainty sets and show how a multi-stage ARO problem can…

Optimization and Control · Mathematics 2024-02-06 Simon Thomä , Grit Walther , Maximilian Schiffer

The commonplace description of phase 1 clinical trials in oncology as "primarily concerned with safety" is belied by their near universal adoption of dose-escalation practices which are inherently unsafe. In contrast with dose titration,…

Methodology · Statistics 2020-04-28 David C. Norris

In phase I dose escalation studies for dual-agent combinations, at least one drug often has an established monotherapy dose. Consequently, substantial prior clinical safety data often exist for one or more monotherapies, allowing the study…

Methodology · Statistics 2026-05-07 Yuxuan Chen , Haiming Zhou , Keiko Nakajima , Philip He

Understanding treatment effect heterogeneity has become an increasingly popular task in various fields, as it helps design personalized advertisements in e-commerce or targeted treatment in biomedical studies. However, most of the existing…

Methodology · Statistics 2024-07-12 Waverly Wei , Xinwei Ma , Jingshen Wang

Understanding the dose-response relation between a continuous treatment and the outcome for an individual can greatly drive decision-making, particularly in areas like personalized drug dosing and personalized healthcare interventions.…

Machine Learning · Computer Science 2026-01-07 Jarne Verhaeghe , Jef Jonkers , Sofie Van Hoecke

Response-adaptive designs allow the randomization probabilities to change during the course of a trial based on cumulated response data, so that a greater proportion of patients can be allocated to the better performing treatments. A major…

Methodology · Statistics 2020-06-03 David S. Robertson , James M. S. Wason

Early phase, personalized dose-finding trials for combination therapies seek to identify patient-specific optimal biological dose (OBD) combinations, which are defined as safe dose combinations which maximize therapeutic benefit for a…

Methodology · Statistics 2024-04-18 James Willard , Shirin Golchi , Erica EM Moodie

Observational studies often benefit from an abundance of observational units. This can lead to studies that -- while challenged by issues of internal validity -- have inferences derived from sample sizes substantially larger than randomized…

Methodology · Statistics 2020-08-24 Rachael C. Aikens , Dylan Greaves , Michael Baiocchi

Background: Drug development is often inefficient, costly and lengthy, yet it is essential for evaluating the safety and efficacy of new interventions. Compared with other disease areas, this is particularly true for Phase II / III cancer…

Methodology · Statistics 2024-05-13 Abigail Burdon , Thomas Jaki , Xijin Chen , Pavel Mozgunov , Haiyan Zheng , Richard Baird

An important task in drug development is to identify patients, which respond better or worse to an experimental treatment. Identifying predictive covariates, which influence the treatment effect and can be used to define subgroups of…

Methodology · Statistics 2018-11-27 Marius Thomas , Björn Bornkamp , Katja Ickstadt

We consider the optimal design problem for a comparison of two regression curves, which is used to establish the similarity between the dose response relationships of two groups. An optimal pair of designs minimizes the width of the…

Methodology · Statistics 2014-11-19 Holger Dette , Kirsten Schorning

Oncology drug development starts with a dose escalation phase to find the maximal tolerable dose (MTD). Dose limiting toxicity (DLT) is the primary endpoint for dose escalation phase. Traditionally, model-based dose escalation trial designs…

Applications · Statistics 2024-04-18 Arnab Kumar Maity , Satrajit Roy Chowdhury , Ray Li , Lada Markovtsova , Roberto Bugarini

Phase type (PH) distributions are widely used in modeling and simulation due to their generality and analytical properties. In such settings, it is often necessary to construct a PH distribution that aligns with real-world data by matching…

Optimization and Control · Mathematics 2025-05-28 Eliran Sherzer , Yehezkel Resheff , Miklos Telek

Currently, the field of structure-based drug design is dominated by three main types of algorithms: search-based algorithms, deep generative models, and reinforcement learning. While existing works have typically focused on comparing models…

Machine Learning · Computer Science 2026-01-22 Kangyu Zheng , Kai Zhang , Jiale Tan , Xuehan Chen , Yingzhou Lu , Zaixi Zhang , Lichao Sun , Marinka Zitnik , Tianfan Fu , Zhiding Liang
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