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Immunotherapy has transformed cancer treatment, yet its delayed therapeutic effects often lead to non-proportional hazards, rendering many conventional phase II designs underpowered and prone to type I error inflation. To address this…

统计方法学 · 统计学 2025-09-03 Zhongheng Cai , Haitao Pan

Bayesian Optimal Experimental Design (BOED) is a powerful tool to reduce the cost of running a sequence of experiments. When based on the Expected Information Gain (EIG), design optimization corresponds to the maximization of some…

机器学习 · 统计学 2025-03-14 Jacopo Iollo , Christophe Heinkelé , Pierre Alliez , Florence Forbes

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…

统计方法学 · 统计学 2024-05-13 Abigail Burdon , Thomas Jaki , Xijin Chen , Pavel Mozgunov , Haiyan Zheng , Richard Baird

An important experimental design problem in early-stage drug discovery is how to prioritize available compounds for testing when very little is known about the target protein. Informer based ranking (IBR) methods address the prioritization…

统计方法学 · 统计学 2023-06-26 Peng Yu , Spencer S. Ericksen , Anthony Gitter , Michael A. Newton

In multi-stage radiotherapy, a patient is treated in several stages separated by weeks or months. This regimen has been motivated mostly by radiobiological considerations, but also provides an approach to reduce normal tissue dose by…

Anchored covariate-adjusted indirect comparisons inform reimbursement decisions where there are no head-to-head trials between the treatments of interest, there is a common comparator arm shared by the studies, and there are patient-level…

统计方法学 · 统计学 2022-12-06 Antonio Remiro-Azócar

An important task in early phase drug development is to identify patients, which respond better or worse to an experimental treatment. While a variety of different subgroup identification methods have been developed for the situation of…

统计方法学 · 统计学 2020-01-22 Marius Thomas , Björn Bornkamp , Heidi Seibold

We study two-stage stochastic optimization problems with random recourse, where the adaptive decisions are multiplied with the uncertain parameters in both the objective function and the constraints. To mitigate the computational…

最优化与控制 · 数学 2021-10-05 Xiangyi Fan , Grani A. Hanasusanto

Chemotherapy is one of the primary modalities of cancer treatment. Chemotherapy drug administration is a complex problem that often requires expensive clinical trials to evaluate potential regimens. One way to alleviate this burden and…

It is increasingly common for therapies in oncology to be given in combination. In some cases, patients can benefit from the interaction between two drugs, although often at the risk of higher toxicity. A large number of designs to conduct…

We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

最优化与控制 · 数学 2024-11-05 Xian Yu , Siqian Shen

Phase 1-2 designs provide a methodological advance over phase 1 designs for dose finding by using both clinical response and toxicity. A phase 1-2 trial still may fail to select a truly optimal dose. because early response is not a perfect…

应用统计 · 统计学 2024-04-03 Cheng-Han Yang , Peter F. Thall , Ruitao Lin

Bilevel optimization has arisen as a powerful tool for many machine learning problems such as meta-learning, hyperparameter optimization, and reinforcement learning. In this paper, we investigate the nonconvex-strongly-convex bilevel…

机器学习 · 计算机科学 2021-08-30 Kaiyi Ji , Junjie Yang , Yingbin Liang

The type of decision dependent uncertainties (DDUs) imposes a great challenge in decision making, while existing methodologies are not sufficient to support many real practices. In this paper, we present a systematic study to handle this…

最优化与控制 · 数学 2022-03-31 Bo Zeng , Wei Wang

Two-stage robust optimization problems constitute one of the hardest optimization problem classes. One of the solution approaches to this class of problems is K-adaptability. This approach simultaneously seeks the best partitioning of the…

最优化与控制 · 数学 2024-10-16 Esther Julien , Krzysztof Postek , Ş. İlker Birbil

Two-stage stochastic optimization is a framework for modeling uncertainty, where we have a probability distribution over possible realizations of the data, called scenarios, and decisions are taken in two stages: we make first-stage…

数据结构与算法 · 计算机科学 2023-10-25 Andre Linhares , Chaitanya Swamy

Group sequential designs (GSDs) are well established and the most commonly used adaptive design in confirmatory clinical trials with interim analyses. However, they remain underutilised, and their implementation involves unique theoretical…

统计方法学 · 统计学 2025-09-09 Zhangyi He , Suzie Cro , Laurent Billot

We present a method for handling dose constraints as part of a convex programming framework for inverse treatment planning. Our method uniformly handles mean dose, maximum dose, minimum dose, and dose-volume (i.e., percentile) constraints…

医学物理 · 物理学 2019-03-05 Anqi Fu , Baris Ungun , Lei Xing , Stephen Boyd

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

最优化与控制 · 数学 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

This paper proposes an adaptive random experiment design (ARED) algorithm that can be applied to optimize the multiple factors and levels experiments. The algorithm takes real-time model error as the adaptive condition, and outputs a model…

信号处理 · 电气工程与系统科学 2020-09-01 Zhou Qiao , Duan Xiaochang , Tang Wei