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Previous studies in quantum information have recognized that specific types of noise can encode information in certain applications. However, the role of noise in Quantum Hypothesis Testing (QHT), traditionally assumed to undermine…

Quantum Physics · Physics 2024-08-06 Qing Li , Lingna Wang , Min Jiang , Ze Wu , Haidong Yuan , Xinhua Peng

We study the value of information in sequential compressed sensing by characterizing the performance of sequential information guided sensing in practical scenarios when information is inaccurate. In particular, we assume the signal…

Information Theory · Computer Science 2015-09-02 Ruiyang Song , Yao Xie , Sebastian Pokutta

In this contribution, we propose a detailed study of interpolation-based data-driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer…

Numerical Analysis · Mathematics 2023-01-13 Quirin Aumann , Ion Victor Gosea

Effective exploration is critical for reinforcement learning agents in environments with sparse rewards or high-dimensional state-action spaces. Recent works based on state-visitation counts, curiosity and entropy-maximization generate…

Machine Learning · Computer Science 2022-09-13 Bang You , Jingming Xie , Youping Chen , Jan Peters , Oleg Arenz

In this note we consider the problem of synthesizing optimal control policies for a system from noisy datasets. We present a novel algorithm that takes as input the available dataset and, based on these inputs, computes an optimal policy…

Optimization and Control · Mathematics 2020-03-02 Davide Gagliardi , Giovanni Russo

We present new information-theoretic generalization guarantees through the a novel construction of the "neighboring-hypothesis" matrix and a new family of stability notions termed sample-conditioned hypothesis (SCH) stability. Our approach…

Machine Learning · Statistics 2023-11-01 Ziqiao Wang , Yongyi Mao

This work addresses stochastic optimal control problems where the unknown state evolves in continuous time while partial, noisy, and possibly controllable measurements are only available in discrete time. We develop a framework for…

Optimization and Control · Mathematics 2025-08-19 Christian Bayer , Boualem Djehiche , Eliza Rezvanova , Raul Fidel Tempone

On the wave of recent advances in data-driven predictive control, we present an explicit predictive controller that can be constructed from a batch of input/output data only. The proposed explicit law is build upon a regularized implicit…

Systems and Control · Electrical Eng. & Systems 2021-10-25 Valentina Breschi , Andrea Sassella , Simone Formentin

Controllers for autonomous systems that operate in safety-critical settings must account for stochastic disturbances. Such disturbances are often modelled as process noise, and common assumptions are that the underlying distributions are…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom S. Badings , Alessandro Abate , Nils Jansen , David Parker , Hasan A. Poonawala , Marielle Stoelinga

Data-driven predictive control methods based on the Willems' fundamental lemma have shown great success in recent years. These approaches use receding horizon predictive control with nonparametric data-driven predictors instead of…

Systems and Control · Electrical Eng. & Systems 2023-12-06 Mingzhou Yin , Andrea Iannelli , Roy S. Smith

In this paper we propose a data-driven output-feedback controller synthesis method for discrete-time linear time-invariant systems in a specific autoregressive form. The synthesis goal is either to achieve dissipativity with respect to a…

Optimization and Control · Mathematics 2026-04-03 Pietro Kristović , Andrej Jokić , Mircea Lazar

Modern nonlinear control theory seeks to endow systems with properties such as stability and safety, and has been deployed successfully across various domains. Despite this success, model uncertainty remains a significant challenge in…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Andrew J. Taylor , Victor D. Dorobantu , Sarah Dean , Benjamin Recht , Yisong Yue , Aaron D. Ames

The issue of white-noise-aided control is considered and its availability is proved. And a noise-aiding way is developed to stabilize perturbed systems to be input-to-state stable (ISS) with respect to (w.r.t.) perturbations. To illustrate…

Optimization and Control · Mathematics 2008-06-24 Wuhua Hu

Recent studies found that many channels are affected by additive noise that is impulsive in nature and is best explained by heavy-tailed symmetric alpha-stable distributions. Dealing with impulsive noise environments comes with an added…

Information Theory · Computer Science 2016-10-07 Jihad Fahs , Ibrahim Abou-Faycal

Informational parsimony provides a useful inductive bias for learning representations that achieve better generalization by being robust to noise and spurious correlations. We propose \textit{information gating} as a way to learn…

Machine Learning · Computer Science 2023-12-12 Manan Tomar , Riashat Islam , Matthew E. Taylor , Sergey Levine , Philip Bachman

We study protection of a qubit that transfer through a decoherence noise by quantum control technique. In this work, we assume that the communication participants have some side information about the qubit. Our aim is to take fully…

Quantum Physics · Physics 2019-06-04 Ya Cao , Fei Gao , DanDan Li , QiaoYan Wen

Data assimilation, consisting in the combination of a dynamical model with a set of noisy and incomplete observations in order to infer the state of a system over time, involves uncertainty in most settings. Building upon an existing…

Machine Learning · Computer Science 2026-03-02 Anthony Frion , David S Greenberg

We consider a class of nonlinear control synthesis problems where the underlying mathematical models are not explicitly known. We propose a data-driven approach to stabilize the systems when only sample trajectories of the dynamics are…

Systems and Control · Electrical Eng. & Systems 2020-06-30 Hyungjin Choi , Umesh Vaidya , Yongxin Chen

From an engineering perspective, a design should not only perform well in an ideal condition, but should also resist noises. Such a design methodology, namely robust design, has been widely implemented in the industry for product quality…

Machine Learning · Computer Science 2021-12-09 Jia-Qi Yang , Ke-Bin Fan , Hao Ma , De-Chuan Zhan

[See paper for full abstract] Meta-analysis is a crucial tool for answering scientific questions. It is usually conducted on a relatively small amount of ``trusted'' data -- ideally from randomized, controlled trials -- which allow causal…

Machine Learning · Statistics 2024-07-15 Shiva Kaul , Geoffrey J. Gordon