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Motivated by techniques developed in recent progress on lower bounds for sublinear time algorithms (Behnezhad, Roghani and Rubinstein, STOC 2023, FOCS 2023, and STOC 2024) we introduce and study a new class of randomized algorithmic…

Data Structures and Algorithms · Computer Science 2026-03-19 Amir Azarmehr , Soheil Behnezhad , Alma Ghafari , Madhu Sudan

Classical approaches to experimental design assume that intervening on one unit does not affect other units. There are many important settings, however, where this non-interference assumption does not hold, as when running experiments on…

Optimization and Control · Mathematics 2020-07-01 Stefan Wager , Kuang Xu

Reinforcement learning in environments with many action-state pairs is challenging. At issue is the number of episodes needed to thoroughly search the policy space. Most conventional heuristics address this search problem in a stochastic…

Artificial Intelligence · Computer Science 2018-03-06 Isaac J. Sledge , Matthew S. Emigh , Jose C. Principe

This paper focuses on the design of time-invariant memoryless control policies for fully observed controlled Markov chains, with a finite state space. Safety constraints are imposed through a pre-selected set of forbidden states. A state is…

Systems and Control · Computer Science 2012-11-09 Eduardo Arvelo , Nuno C. Martins

We propose a bottom-up approach, based on Reinforcement Learning, to the design of a chain achieving efficient excitation-transfer performances. We assume distance-dependent interactions among particles arranged in a chain under…

Quantum Physics · Physics 2024-02-27 S. Sgroi , G. Zicari , A. Imparato , M. Paternostro

Most successful applications of deep learning involve similar training and test conditions. However, tasks such as biological sequence design involve searching for sequences that improve desirable properties beyond previously known values,…

Machine Learning · Computer Science 2025-05-27 Sophia Hager , Aleem Khan , Andrew Wang , Nicholas Andrews

The Exploration-Exploitation tradeoff arises in Reinforcement Learning when one cannot tell if a policy is optimal. Then, there is a constant need to explore new actions instead of exploiting past experience. In practice, it is common to…

Machine Learning · Computer Science 2019-09-10 Lior Shani , Yonathan Efroni , Shie Mannor

This paper concentrates on the reliability of a discrete-time controlled Markov system with finite states and actions, and aims to give an efficient algorithm for obtaining an optimal (control) policy that makes the system have the maximal…

Optimization and Control · Mathematics 2025-05-06 Yanyun Li , Xin Guo , Xianping Guo

Motivated by the widespread adoption of large-scale A/B testing in industry, we propose a new experimentation framework for the setting where potential experiments are abundant (i.e., many hypotheses are available to test), and observations…

Machine Learning · Statistics 2018-05-31 Sven Schmit , Virag Shah , Ramesh Johari

Causal structure learning is a key problem in many domains. Causal structures can be learnt by performing experiments on the system of interest. We address the largely unexplored problem of designing a batch of experiments that each…

Machine Learning · Computer Science 2021-11-25 Scott Sussex , Andreas Krause , Caroline Uhler

We introduce the active exploration problem in Markov decision processes (MDPs). Each state of the MDP is characterized by a random value and the learner should gather samples to estimate the mean value of each state as accurately as…

Machine Learning · Statistics 2019-03-01 Jean Tarbouriech , Alessandro Lazaric

This paper considers the problem of efficient exploration of unseen environments, a key challenge in AI. We propose a `learning to explore' framework where we learn a policy from a distribution of environments. At test time, presented with…

Machine Learning · Computer Science 2019-10-30 Hanjun Dai , Yujia Li , Chenglong Wang , Rishabh Singh , Po-Sen Huang , Pushmeet Kohli

Determining the causal structure of a set of variables is critical for both scientific inquiry and decision-making. However, this is often challenging in practice due to limited interventional data. Given that randomized experiments are…

Methodology · Statistics 2019-02-28 Raj Agrawal , Chandler Squires , Karren Yang , Karthik Shanmugam , Caroline Uhler

Exploration in unknown environments is a fundamental problem in reinforcement learning and control. In this work, we study task-guided exploration and determine what precisely an agent must learn about their environment in order to complete…

Machine Learning · Computer Science 2021-07-13 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

Quantum computers provide an opportunity to efficiently sample from probability distributions that include non-trivial interference effects between amplitudes. Using a simple process wherein all possible state histories can be specified by…

Quantum Physics · Physics 2019-08-22 Davide Provasoli , Benjamin Nachman , Wibe A. de Jong , Christian W Bauer

We examine the problem of optimal design in the context of filtering multiple random walks. Specifically, we define the steady state E-optimal design criterion and show that the underlying optimization problem leads to a second order cone…

Applications · Statistics 2010-10-07 Harsh Singhal , George Michailidis

The scientific method relies on the iterated processes of inference and inquiry. The inference phase consists of selecting the most probable models based on the available data; whereas the inquiry phase consists of using what is known about…

Machine Learning · Statistics 2015-05-19 N. K. Malakar , K. H. Knuth

Euclidean Markov decision processes are a powerful tool for modeling control problems under uncertainty over continuous domains. Finite state imprecise, Markov decision processes can be used to approximate the behavior of these infinite…

Artificial Intelligence · Computer Science 2020-06-29 Manfred Jaeger , Giorgio Bacci , Giovanni Bacci , Kim Guldstrand Larsen , Peter Gjøl Jensen

Markov chains are simple yet powerful mathematical structures to model temporally dependent processes. They generally assume stationary data, i.e., fixed transition probabilities between observations/states. However, live, real-world…

Machine Learning · Computer Science 2024-11-27 Kutalmış Coşkun , Borahan Tümer , Bjarne C. Hiller , Martin Becker

Markov automata combine non-determinism, probabilistic branching, and exponentially distributed delays. This compositional variant of continuous-time Markov decision processes is used in reliability engineering, performance evaluation and…

Logic in Computer Science · Computer Science 2017-05-11 Tim Quatmann , Sebastian Junges , Joost-Pieter Katoen