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A decision maker typically (i) incorporates training data to learn about the relative effectiveness of treatments, and (ii) chooses an implementation mechanism that implies an ``optimal'' predicted outcome distribution according to some…

Econometrics · Economics 2025-05-29 Anders Bredahl Kock , David Preinerstorfer

The potential outcomes framework serves as a fundamental tool for quantifying causal effects. The average dose-response function (also called the effect curve), denoted as (\mu(t)), is typically of interest when dealing with a continuous…

Methodology · Statistics 2025-07-21 Juraj Bodik

In optimal control problems, disturbances are typically dealt with using robust solutions, such as H-infinity or tube model predictive control, that plan control actions feasible for the worst-case disturbance. Yet, planning for every…

Optimization and Control · Mathematics 2020-08-27 Luiz F. O. Chamon , Alexandre Amice , Santiago Paternain , Alejandro Ribeiro

A key challenge in sequential decision making is optimizing systems safely under partial information. While much of the literature has focused on the cases of either partially known states or partially known dynamics, it is further…

Optimization and Control · Mathematics 2023-04-21 Qinyang He , Yonatan Mintz

We study the problem of learning individualized dose intervals using observational data. There are very few previous works for policy learning with continuous treatment, and all of them focused on recommending an optimal dose rather than an…

Methodology · Statistics 2022-02-25 Guanhua Chen , Xiaomao Li , Menggang Yu

We develop and evaluate tolerance interval methods for dynamic treatment regimes (DTRs) that can provide more detailed prognostic information to patients who will follow an estimated optimal regime. Although the problem of constructing…

Methodology · Statistics 2017-04-26 Daniel J. Lizotte , Arezoo Tahmasebi

Many policies involve dynamics in their treatment assignments, where individuals receive sequential interventions over multiple stages. We study estimation of an optimal dynamic treatment regime that guides the optimal treatment assignment…

Econometrics · Economics 2024-09-04 Shosei Sakaguchi

The multiple access scheduling decides how the channel is shared among the nodes in the network. Typical scheduling algorithms aims at increasing the channel utilization and thereby throughput of the network. This paper describes several…

Information Theory · Computer Science 2025-09-30 Vijaya Yajnanarayana , Klas E. G. Magnusson , Rasmus Brandt , Satyam Dwivedi , Peter Händel

Dose-finding trials are a key component of the drug development process and rely on a statistical design to help inform dosing decisions. Triallists wishing to choose a design require knowledge of operating characteristics of competing…

Computation · Statistics 2025-03-11 Michael Sweeting , Daniel Slade , Dan Jackson , Kristian Brock

Despite the massive costs and widespread harms of substance use, most individuals with substance use disorders (SUDs) receive no treatment at all. Digital therapeutics platforms are an emerging low-cost and low-barrier means of extending…

Systems and Control · Electrical Eng. & Systems 2025-04-03 Eric Pulick , Yonatan Mintz

The task of maintaining a predefined level of effect in a dynamical plant by applying periodic control actions often arises in e.g. process control and medicine. When the state variables of the plant represent the concentrations of chemical…

Dynamical Systems · Mathematics 2026-01-08 Alexander Medvedev , Anton V. Proskurnikov , Zhanybai T. Zhusubaliyev

We consider experiments for comparing treatments using units that are ordered linearly over time or space within blocks. In addition to the block effect, we assume that a trend effect influences the response. The latter is modeled as a…

Statistics Theory · Mathematics 2008-12-18 Dibyen Majumdar , John Stufken

Dose volume histograms are a useful tool in state-of-the-art radiotherapy planning, and it is essential to be aware of their limitations. Dose distributions computed by treatment planning systems are affected by several sources of…

Medical Physics · Physics 2007-06-13 Francisco Cutanda-Henriquez , Silvia Vargas-Castrillon

Dose-escalation trials in oncology drug development still today typically aim to identify 1-size-fits-all dose recommendations, as arbitrary quantiles of the toxicity thresholds evident in patient samples. In the late 1990s efforts to…

Category Theory · Mathematics 2025-07-03 David C. Norris

Dynamic metabolic control allows key metabolic fluxes to be modulated in real time, enhancing bioprocess flexibility and expanding available optimization degrees of freedom. This is achieved, e.g., via targeted modulation of metabolic…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Sebastián Espinel-Ríos , River Walser , Dongda Zhang

In this paper we consider two problems regarding the scheduling of available personnel in order to perform a given quantity of work, which can be arbitrarily decomposed into a sequence of activities. We are interested in schedules which…

Data Structures and Algorithms · Computer Science 2013-01-22 Mugurel Ionut Andreica , Romulus Andreica , Angela Andreica

It is possible to find the optimized radiation dose per session for a radiotherapy (RT) treatment, using a population dynamics model. This has already been done in a previous work for a protocol with 30 sessions and a fixed dose per…

Adaptive Phase 2/3 designs hold great promise in contemporary oncology drug development, especially when limited data from Phase 1 dose-finding is insufficient for identifying an optimal dose. However, there is a general concern about…

Applications · Statistics 2025-02-25 Cong Chen , Mo Huang

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

We apply control theoretic and optimization techniques to adaptively design incentives. In particular, we consider the problem of a planner with an objective that depends on data from strategic decision makers. The planner does not know the…

Computer Science and Game Theory · Computer Science 2018-06-18 Lillian J. Ratliff , Tanner Fiez
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