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We consider the general class of time-homogeneous stochastic dynamical systems, both discrete and continuous, and study the problem of learning a representation of the state that faithfully captures its dynamics. This is instrumental to…

Machine Learning · Computer Science 2024-03-15 Vladimir R. Kostic , Pietro Novelli , Riccardo Grazzi , Karim Lounici , Massimiliano Pontil

For safely applying reinforcement learning algorithms on high-dimensional nonlinear dynamical systems, a simplified system model is used to formulate a safe reinforcement learning framework. Based on the simplified system model, a…

Robotics · Computer Science 2021-09-09 Zhehua Zhou , Ozgur S. Oguz , Marion Leibold , Martin Buss

ML-based systems are software systems that incorporates machine learning components such as Deep Neural Networks (DNNs) or Large Language Models (LLMs). While such systems enable advanced features such as high performance computer vision,…

Software Engineering · Computer Science 2025-03-14 Shin Yoo , Robert Feldt , Somin Kim , Naryeong Kim

In this paper we consider self-supervised representation learning to improve sample efficiency in reinforcement learning (RL). We propose a forward prediction objective for simultaneously learning embeddings of states and action sequences.…

Machine Learning · Computer Science 2020-01-15 William Whitney , Rajat Agarwal , Kyunghyun Cho , Abhinav Gupta

We introduce Neural Dynamical Systems (NDS), a method of learning dynamical models in various gray-box settings which incorporates prior knowledge in the form of systems of ordinary differential equations. NDS uses neural networks to…

Given a Markov decision process (MDP), we seek to learn representations for a range of policies to facilitate behavior steering at test time. As policies of an MDP are uniquely determined by their occupancy measures, we propose modeling…

Machine Learning · Computer Science 2026-02-02 Beiming Li , Sergio Rozada , Alejandro Ribeiro

Recently, many reinforcement learning techniques were shown to have provable guarantees in the simple case of linear dynamics, especially in problems like linear quadratic regulators. However, in practice, many reinforcement learning…

Machine Learning · Computer Science 2020-06-30 Abraham Frandsen , Rong Ge

Adaptive systems -- such as a biological organism gaining survival advantage, an autonomous robot executing a functional task, or a motor protein transporting intracellular nutrients -- must model the regularities and stochasticity in their…

Statistical Mechanics · Physics 2021-04-13 A. B. Boyd , J. P. Crutchfield , M. Gu

Model selection is central to statistics, and many learning problems can be formulated as model selection problems. In this paper, we treat the problem of selecting a maximum entropy model given various feature subsets and their moments, as…

Information Theory · Computer Science 2013-11-28 Gaurav Pandey , Ambedkar Dukkipati

Encoding time-series with Linear Dynamical Systems (LDSs) leads to rich models with applications ranging from dynamical texture recognition to video segmentation to name a few. In this paper, we propose to represent LDSs with…

Computer Vision and Pattern Recognition · Computer Science 2017-02-28 Wenbing Huang , Fuchun Sun , Lele Cao , Mehrtash Harandi

Incorporating a priori physics knowledge into machine learning leads to more robust and interpretable algorithms. In this work, we combine deep learning techniques and classic numerical methods for differential equations to address two…

Machine Learning · Computer Science 2026-05-04 Caitlin Ho , Andrea Arnold

Control of a dynamical system without the knowledge of dynamics is an important and challenging task. Modern machine learning approaches, such as deep neural networks (DNNs), allow for the estimation of a dynamics model from control inputs…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Suruchi Sharma , Volodymyr Makarenko , Gautam Kumar , Stas Tiomkin

Large scale dynamical systems (e.g. many nonlinear coupled differential equations) can often be summarized in terms of only a few state variables (a few equations), a trait that reduces complexity and facilitates exploration of behavioral…

Dynamic data visualizations can convey large amounts of information over time, such as using motion to depict changes in data values for multiple entities. Such dynamic displays put a demand on our visual processing capacities, yet our…

Human-Computer Interaction · Computer Science 2024-08-12 Songwen Hu , Ouxun Jiang , Jeffrey Riedmiller , Cindy Xiong Bearfield

Nonlinear state-space identification for dynamical systems is most often performed by minimizing the simulation error to reduce the effect of model errors. This optimization problem becomes computationally expensive for large datasets.…

Machine Learning · Computer Science 2021-04-29 Gerben Beintema , Roland Toth , Maarten Schoukens

Learning a stable Linear Dynamical System (LDS) from data involves creating models that both minimize reconstruction error and enforce stability of the learned representation. We propose a novel algorithm for learning stable LDSs. Using a…

Machine Learning · Computer Science 2020-11-19 Giorgos Mamakoukas , Orest Xherija , T. D. Murphey

We consider complex dynamical systems showing metastable behavior but no local separation of fast and slow time scales. The article raises the question of whether such systems exhibit a low-dimensional manifold supporting its effective…

Dynamical Systems · Mathematics 2019-07-10 Andreas Bittracher , Péter Koltai , Stefan Klus , Ralf Banisch , Michael Dellnitz , Christof Schütte

In this study, we employ the recently developed recurrence microstate probabilities as features to improve accuracy of several well-established machine learning (ML) algorithms. These algorithms are applied to classify discrete and…

Chaotic Dynamics · Physics 2025-12-15 J. V. M. Silveira , H. C. Costa , G. S. Spezzatto , T. L. Prado , S. R. Lopes

In this correspondence, we focus on the performance analysis of the widely-used minimum description length (MDL) source enumeration technique in array processing. Unfortunately, available theoretical analysis exhibit deviation from the…

Information Theory · Computer Science 2015-05-13 Farzan Haddadi , Mohammadreza Malekmohammadi , Mohammad Mahdi Nayebi , Mohammad Reza Aref

Distributed optimization finds many applications in machine learning, signal processing, and control systems. In these real-world applications, the constraints of communication networks, particularly limited bandwidth, necessitate…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Mohammadreza Doostmohammadian , Sérgio Pequito