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We study the problem of efficient exploration in order to learn an accurate model of an environment, modeled as a Markov decision process (MDP). Efficient exploration in this problem requires the agent to identify the regions in which…

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

Methodology · Statistics 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci

Stochastic choice-based discrete planning is a broad class of decision-making problems characterized by a sequential decision-making process involving a planner and a group of customers. The firm or planner first decides a subset of options…

Optimization and Control · Mathematics 2024-09-20 Jiajie Zhang , Yun Hui Lin , Gerardo Berbeglia

Probabilistic graphical modeling (PGM) provides a framework for formulating an interpretable generative process of data and expressing uncertainty about unknowns, but it lacks flexibility. Deep learning (DL) is an alternative framework for…

Machine Learning · Statistics 2021-04-27 Adji B. Dieng

Rolling forecasts have been almost overlooked in the renewable energy storage literature. In this paper, we provide a new approach for handling uncertainty not just in the accuracy of a forecast, but in the evolution of forecasts over time.…

Optimization and Control · Mathematics 2022-04-18 Saeed Ghadimi , Warren B. Powell

We consider a discounted infinite horizon optimal stopping problem. If the underlying distribution is known a priori, the solution of this problem is obtained via dynamic programming (DP) and is given by a well known threshold rule. When…

Machine Learning · Computer Science 2021-02-23 Daniel Russo , Assaf Zeevi , Tianyi Zhang

We consider the problem of computing optimal generalised policies for relational Markov decision processes. We describe an approach combining some of the benefits of purely inductive techniques with those of symbolic dynamic programming…

Artificial Intelligence · Computer Science 2012-07-19 Charles Gretton , Sylvie Thiebaux

We develop a discrete-time optimal control framework for systems evolving on Lie groups. Our work generalizes the original Differential Dynamic Programming method, by employing a coordinate-free, Lie-theoretic approach for its derivation. A…

Optimization and Control · Mathematics 2018-09-24 George I. Boutselis , Evangelos Theodorou

What do humans do when confronted with a common challenge: we know where we want to go but we are not yet sure the best way to get there, or even if we can. This is the problem posed to agents during spatial navigation and pathfinding, and…

Artificial Intelligence · Computer Science 2021-03-16 Jeremy Gordon , John Chuang

This paper works through the optimization of a real world planning problem, with a combination of a generative planning tool and an influence diagram solver. The problem is taken from an existing application in the domain of oil spill…

Artificial Intelligence · Computer Science 2013-02-18 John Mark Agosta

The increasing share of volatile renewable electricity production motivates demand response. Substantial potential for demand response is offered by flexible processes and their local multi-energy supply systems. Simultaneous optimization…

Optimization and Control · Mathematics 2024-01-10 Florian Joseph Baader , Philipp Althaus , André Bardow , Manuel Dahmen

Dynamic decisions are pivotal to economic policy making. We show how existing evidence from randomized control trials can be utilized to guide personalized decisions in challenging dynamic environments with budget and capacity constraints.…

Econometrics · Economics 2024-11-26 Karun Adusumilli , Friedrich Geiecke , Claudio Schilter

We study existence and uniqueness of the fixed points solutions of a large class of non-linear variable discounted transfer operators associated to a sequential decision-making process. We establish regularity properties of these solutions,…

Dynamical Systems · Mathematics 2019-02-20 L. Cioletti , Elismar R. Oliveira

In this paper, we analyze dynamic programming as a novel approach to solve the problem of maximizing the profits of a bank. The mathematical model of the problem and the description of a bank's work is described in this paper. The problem…

General Finance · Quantitative Finance 2016-11-04 Oleg Malafeyev , Achal Awasthi

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

Machine Learning · Statistics 2016-03-10 Umamahesh Srinivas

Efficient planning in high-dimensional spaces, such as those involving deformable objects, requires computationally tractable yet sufficiently expressive dynamics models. This paper introduces a method that automatically generates…

Robotics · Computer Science 2025-08-27 Alex LaGrassa , Zixuan Huang , Dmitry Berenson , Oliver Kroemer

Active classification, i.e., the sequential decision-making process aimed at data acquisition for classification purposes, arises naturally in many applications, including medical diagnosis, intrusion detection, and object tracking. In this…

Systems and Control · Computer Science 2018-10-02 Bo Wu , Mohamadreza Ahmadi , Suda Bharadwaj , Ufuk Topcu

We consider large-scale Markov decision processes (MDPs) with a risk measure of variability in cost, under the risk-aware MDPs paradigm. Previous studies showed that risk-aware MDPs, based on a minimax approach to handling risk, can be…

Systems and Control · Computer Science 2017-05-17 Pengqian Yu , William B. Haskell , Huan Xu

We consider deterministic infinite horizon optimal control problems with nonnegative stage costs. We draw inspiration from learning model predictive control scheme designed for continuous dynamics and iterative tasks, and propose a rollout…

Optimization and Control · Mathematics 2021-09-30 Yuchao Li , Karl H. Johansson , Jonas Mårtensson , Dimitri P. Bertsekas

Deep generative models for graphs have exhibited promising performance in ever-increasing domains such as design of molecules (i.e, graph of atoms) and structure prediction of proteins (i.e., graph of amino acids). Existing work typically…

Machine Learning · Computer Science 2021-01-21 Wenbin Zhang , Liming Zhang , Dieter Pfoser , Liang Zhao
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