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The theory of covariance control and covariance steering (CS) deals with controlling the dispersion of trajectories of a dynamical system, under the implicit assumption that accurate prior knowledge of the system being controlled is…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Joshua Pilipovsky , Panagiotis Tsiotras

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

Studying structural properties of linear dynamical systems through invariant subspaces is one of the key contributions of the geometric approach to system theory. In general, a model of the dynamics is required in order to compute the…

Systems and Control · Electrical Eng. & Systems 2022-01-12 Federico Celi , Fabio Pasqualetti

We present a numerical framework for recovering unknown non-autonomous dynamical systems with time-dependent inputs. To circumvent the difficulty presented by the non-autonomous nature of the system, our method transforms the solution state…

Signal Processing · Electrical Eng. & Systems 2020-06-04 Tong Qin , Zhen Chen , John Jakeman , Dongbin Xiu

Large Language Models (LLMs) increasingly rely on long-form, multi-step reasoning to solve complex tasks such as mathematical problem solving and scientific question answering. Despite strong performance, existing confidence estimation…

Computation and Language · Computer Science 2026-01-21 Zhenjiang Mao , Anirudhh Venkat , Artem Bisliouk , Akshat Kothiyal , Sindhura Kumbakonam Subramanian , Saithej Singhu , Ivan Ruchkin

In many learning based control methodologies, learning the unknown dynamic model precedes the control phase, while the aim is to control the system such that it remains in some safe region of the state space. In this work, our aim is to…

Machine Learning · Computer Science 2021-05-14 Farhad Farokhi , Alex Leong , Iman Shames , Mohammad Zamani

Likelihood-based inference in stochastic non-linear dynamical systems, such as those found in chemical reaction networks and biological clock systems, is inherently complex and has largely been limited to small and unrealistically simple…

Computation · Statistics 2024-07-08 Ben Swallow , David A. Rand , Giorgos Minas

We propose an approach for learning the causal structure in stochastic dynamical systems with a $1$-step functional dependency in the presence of latent variables. We propose an information-theoretic approach that allows us to recover the…

Information Theory · Computer Science 2017-01-25 Saber Salehkaleybar , Jalal Etesami , Negar Kiyavash

Data-driven forecasts of air quality have recently achieved more accurate short-term predictions. Despite their success, most of the current data-driven solutions lack proper quantifications of model uncertainty that communicate how much to…

Machine Learning · Computer Science 2021-12-07 Abdulmajid Murad , Frank Alexander Kraemer , Kerstin Bach , Gavin Taylor

Early warning indicators often suffer from the shortness and coarse-graining of real-world time series. Furthermore, the typically strong and correlated noise contributions in real applications are severe drawbacks for statistical measures.…

Data Analysis, Statistics and Probability · Physics 2026-03-03 Martin Heßler , Oliver Kamps

This paper addresses the problem of data-driven computation of controllers that are correct by design for safety-critical systems and can provably satisfy (complex) functional requirements. With a focus on continuous-space stochastic…

Systems and Control · Electrical Eng. & Systems 2024-11-11 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

This survey presents recent research on determining control-theoretic properties and designing controllers with rigorous guarantees using semidefinite programming and for nonlinear systems for which no mathematical models but measured…

Optimization and Control · Mathematics 2023-11-06 Tim Martin , Thomas B. Schön , Frank Allgöwer

Unifying probabilistic and logical learning is a key challenge in AI. We introduce a Bayesian inductive logic programming approach that learns minimum message length hypotheses from noisy data. Our approach balances hypothesis complexity…

Artificial Intelligence · Computer Science 2026-01-26 Ruben Sharma , Sebastijan Dumančić , Ross D. King , Andrew Cropper

According to the dominant view, time in perceptual decision making is used for integrating new sensory evidence. Based on a probabilistic framework, we investigated the alternative hypothesis that time is used for gradually refining an…

Neurons and Cognition · Quantitative Biology 2015-02-12 Máté Lengyel , Ádám Koblinger , Marjena Popović , József Fiser

In this paper, we consider discrete-time non-linear stochastic dynamical systems with additive process noise in which both the initial state and noise distributions are uncertain. Our goal is to quantify how the uncertainty in these…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Steven Adams , Eduardo Figueiredo , Luca Laurenti

As control engineering methods are applied to increasingly complex systems, data-driven approaches for system identification appear as a promising alternative to physics-based modeling. While the Bayesian approaches prevalent for…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Robert Lefringhausen , Supitsana Srithasan , Armin Lederer , Sandra Hirche

This paper addresses a multi-robot planning problem in environments with partially unknown semantics. The environment is assumed to have known geometric structure (e.g., walls) and to be occupied by static labeled landmarks with uncertain…

Robotics · Computer Science 2022-01-14 Yiannis Kantaros , Samarth Kalluraya , Qi Jin , George J. Pappas

Apprenticeship learning crucially depends on effectively learning rewards, and hence control policies from user demonstrations. Of particular difficulty is the setting where the desired task consists of a number of sub-goals with temporal…

Robotics · Computer Science 2023-11-10 Aniruddh G. Puranic , Jyotirmoy V. Deshmukh , Stefanos Nikolaidis

Several methods have been proposed recently to learn neural network (NN) controllers for autonomous agents, with unknown and stochastic dynamics, tasked with complex missions captured by Linear Temporal Logic (LTL). Due to the…

Robotics · Computer Science 2023-11-23 Jun Wang , Haojun Chen , Zihe Sun , Yiannis Kantaros

We define a context-sensitive temporal probability logic for representing classes of discrete-time temporal Bayesian networks. Context constraints allow inference to be focused on only the relevant portions of the probabilistic knowledge.…

Artificial Intelligence · Computer Science 2013-02-21 Liem Ngo , Peter Haddawy , James Helwig