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We study the problem of controlling a partially observed Markov decision process (POMDP) to either aid or hinder the estimation of its state trajectory. We encode the estimation objectives via the smoother entropy, which is the conditional…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Timothy L. Molloy , Girish N. Nair

We consider Bayesian inverse problems arising in data assimilation for dynamical systems governed by partial and stochastic partial differential equations. The space-time dependent field is inferred jointly with static parameters of the…

Computation · Statistics 2026-03-20 Baptiste Simandoux , Nikolas Kantas , Dan Crisan

We consider fixed-interval smoothing problems for counter-adversarial autonomous systems. An adversary deploys an autonomous filtering and control system that i) measures our current state via a noisy sensor, ii) computes a posterior…

Systems and Control · Electrical Eng. & Systems 2019-10-17 Robert Mattila , Inês Lourenço , Vikram Krishnamurthy , Cristian R. Rojas , Bo Wahlberg

In this paper, we consider the problem of controlling a partially observed Markov decision process (POMDP) in order to actively estimate its state trajectory over a fixed horizon with minimal uncertainty. We pose a novel active smoothing…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Timothy L. Molloy , Girish N. Nair

Smoothing is a technique for estimating the state of an imperfectly monitored open system by combining both prior and posterior measurement information. In the quantum regime, current approaches to smoothing either give unphysical outcomes,…

Quantum Physics · Physics 2025-09-30 Mingxuan Liu , Valerio Scarani , Alexia Auffèves , Kiarn T. Laverick

We present an adaptive smoother for linear state-space models with unknown process and measurement noise covariances. The proposed method utilizes the variational Bayes technique to perform approximate inference. The resulting smoother is…

Systems and Control · Computer Science 2023-07-19 Tohid Ardeshiri , Emre Özkan , Umut Orguner , Fredrik Gustafsson

We consider a Bayesian adaptive optimal stochastic control problem where a hidden static signal has a non-separable influence on the drift of a noisy observation. Being allowed to control the specific form of this dependence, we aim at…

Optimization and Control · Mathematics 2025-12-22 Alexander M. G. Cox , Sigrid Källblad , Chaorui Wang

Estimating the state of an open quantum system monitored over time requires incorporating information from past measurements (filtering) and, for improved accuracy, also from future measurements (smoothing). While classical smoothing is…

Quantum Physics · Physics 2025-10-10 Mingxuan Liu , Ge Bai , Valerio Scarani

The entropy regularization is inspired by information entropy from machine learning and the ideas of exploration and exploitation in reinforcement learning, which appears in the control problem to design an approximating algorithm for the…

Optimization and Control · Mathematics 2024-11-21 Ziyue Chen , Qi Zhang

The main goal of this paper is developing the method of discrete approximations to derive necessary optimality conditions for a class of constrained sweeping processes with nonsmooth perturbations. Optimal control problems for sweeping…

Optimization and Control · Mathematics 2020-05-13 Boris S. Mordukhovich , Dao Nguyen

We study Bayesian optimal control of a general class of smoothly parameterized Markov decision problems. Since computing the optimal control is computationally expensive, we design an algorithm that trades off performance for computational…

Machine Learning · Computer Science 2014-06-17 Yasin Abbasi-Yadkori , Csaba Szepesvari

Extending data-driven algorithms based on Willems' fundamental lemma to stochastic data often requires empirical and customized workarounds. This work presents a unified Bayesian framework for linear systems that provides a systematic and…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Mingzhou Yin , Andrea Iannelli , Seyed Ali Nazari , Matthias A. Müller

Tracking the dynamics of a quantum system is conventionally achieved by monitoring the system continuously in time and filtering the information contained in measurement records via the causal quantum trajectory approach. However, in…

Smooth entropies are a tool for quantifying resource trade-offs in (quantum) information theory and cryptography. In typical bi- and multi-partite problems, however, some of the sub-systems are often left unchanged and this is not reflected…

Quantum Physics · Physics 2020-07-20 Anurag Anshu , Mario Berta , Rahul Jain , Marco Tomamichel

We study the filtering problem over a Lie group that plays an important role in robotics and aerospace applications. We present a new particle filtering algorithm based on stochastic control. In particular, our algorithm is based on a…

Optimization and Control · Mathematics 2022-12-06 Bo Yuan , Qinsheng Zhang , Yongxin Chen

We study the problem of optimal inside control of an SPDE (a stochastic evolution equation) driven by a Brownian motion and a Poisson random measure. Our optimal control problem is new in two ways: (i) The controller has access to inside…

Optimization and Control · Mathematics 2016-08-31 Olfa Draouil , Bernt Øksendal

We propose two new Bayesian smoothing methods for general state-space models with unknown parameters. The first approach is based on the particle learning and smoothing algorithm, but with an adjustment in the backward resampling weights.…

Computation · Statistics 2016-04-20 Biao Yang , Jonathan R. Stroud , Gabriel Huerta

Bayesian filtering deals with computing the posterior distribution of the state of a stochastic dynamic system given noisy observations. In this paper, motivated by applications in counter-adversarial systems, we consider the following…

Systems and Control · Electrical Eng. & Systems 2020-10-28 Robert Mattila , Cristian R. Rojas , Vikram Krishnamurthy , Bo Wahlberg

Reliable optimal control is challenging when the dynamics of a nonlinear system are unknown and only infrequent, noisy output measurements are available. This work addresses this setting of limited sensing by formulating a Bayesian prior…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Robert Lefringhausen , Theodor Springer , Sandra Hirche

For challenging state estimation problems arising in domains like vision and robotics, particle-based representations attractively enable temporal reasoning about multiple posterior modes. Particle smoothers offer the potential for more…

Machine Learning · Computer Science 2025-02-18 Ali Younis , Erik B. Sudderth
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