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This paper presents a physics-based data-driven method to learn predictive reduced-order models (ROMs) from high-fidelity simulations, and illustrates it in the challenging context of a single-injector combustion process. The method…

Computational Physics · Physics 2020-07-14 Renee Swischuk , Boris Kramer , Cheng Huang , Karen Willcox

In this paper we propose the Structured Deep Neural Network (Structured DNN) as a structured and deep learning algorithm, learning to find the best structured object (such as a label sequence) given a structured input (such as a vector…

Machine Learning · Computer Science 2015-06-04 Yi-Hsiu Liao , Hung-Yi Lee , Lin-shan Lee

Dynamical systems are found in innumerable forms across the physical and biological sciences, yet all these systems fall naturally into universal equivalence classes: conservative or dissipative, stable or unstable, compressible or…

Machine Learning · Computer Science 2023-02-28 Matthew Ricci , Noa Moriel , Zoe Piran , Mor Nitzan

We consider the problem of learning a classifier from observed functional data. Here, each data-point takes the form of a single time-series and contains numerous features. Assuming that each such series comes with a binary label, the…

Machine Learning · Computer Science 2020-02-25 Kristiaan Pelckmans , Hong-Li Zeng

The need for multimodal data integration arises naturally when multiple complementary sets of features are measured on the same sample. Under a dependent multifactor model, we develop a fully data-driven orchestrated approximate message…

Methodology · Statistics 2026-01-22 Sagnik Nandy , Zongming Ma

This work develops an active learning framework to intelligently enrich data-driven reduced-order models (ROMs) of parametric dynamical systems, which can serve as the foundation of virtual assets in a digital twin. Data-driven ROMs are…

Machine Learning · Statistics 2026-01-05 Shane A. McQuarrie , Mengwu Guo , Anirban Chaudhuri

In this paper, we introduce a data-driven modeling approach for dynamics problems with latent variables. The state-space of the proposed model includes artificial latent variables, in addition to observed variables that can be fitted to a…

Optimization and Control · Mathematics 2024-06-19 Yushuang Luo , Xiantao Li , Wenrui Hao

In this paper we propose a unified framework for structured prediction with latent variables which includes hidden conditional random fields and latent structured support vector machines as special cases. We describe a local entropy…

Machine Learning · Computer Science 2012-07-03 Alexander Schwing , Tamir Hazan , Marc Pollefeys , Raquel Urtasun

New explicit velocity- and position-Verlet-like algorithms of the second order are proposed to integrate the equations of motion in many-body systems. The algorithms are derived on the basis of an extended decomposition scheme at the…

Statistical Mechanics · Physics 2009-11-07 Igor Omelyan , Ihor Mryglod , Reinhard Folk

Policy iteration is one of the classical frameworks of reinforcement learning, which requires a known initial stabilizing control. However, finding the initial stabilizing control depends on the known system model. To relax this requirement…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Dongdong Li , Jiuxiang Dong

We present a physics-informed framework for system identification based on randomized stable atomic features. Impulse responses are represented as random superpositions of stable atoms, namely damped complex exponentials associated with…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Rajiv Singh , Mario Sznaier , Lennart Ljung

We consider the problem of estimating missing values in trajectories of linear parameter-varying (LPV) systems. We solve this interpolation problem for the class of shifted-affine LPV systems. Conditions for the existence and uniqueness of…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Chris Verhoek , Ivan Markovsky , Roland Tóth

A method for data-driven interpolatory model reduction is presented in this extended abstract. This framework enables the computation of the transfer function values at given interpolation points based on time-domain input-output data only,…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Azka Muji Burohman , Bart Besselink , Jacquelien M. A. Scherpen , M. Kanat Camlibel

This paper addresses the problem of state and parameter estimation for a class of second-order systems with single output. A new filtered transformation is proposed for the system via dynamic vector and matrix. In this method, the dynamics…

Systems and Control · Computer Science 2018-03-14 Mehdi Tavan , Kamel Sabahi , Saeid Hoseinzadeh

We construct an auto-validated algorithm that calculates a close to identity change of variables which brings a general saddle point into a normal form. The transformation is robust in the underlying vector field, and is analytic on a…

Dynamical Systems · Mathematics 2010-01-24 Tomas Johnson , Warwick Tucker

A novel correction algorithm is proposed for multi-class classification problems with corrupted training data. The algorithm is non-intrusive, in the sense that it post-processes a trained classification model by adding a correction…

Machine Learning · Computer Science 2020-02-13 Jun Hou , Tong Qin , Kailiang Wu , Dongbin Xiu

Many large MDPs can be represented compactly using a dynamic Bayesian network. Although the structure of the value function does not retain the structure of the process, recent work has shown that value functions in factored MDPs can often…

Artificial Intelligence · Computer Science 2013-01-18 Daphne Koller , Ron Parr

In this paper, we propose a novel structure for a cross-modal data association, which is inspired by the recent research on the associative learning structure of the brain. We formulate the cross-modal association in Bayesian inference…

Machine Learning · Computer Science 2019-05-31 Dae Ung Jo , ByeongJu Lee , Jongwon Choi , Haanju Yoo , Jin Young Choi

Mechatronic systems are described by an interconnection of the electromagnetic part, i.e., a static position-dependent nonlinear relation between currents and forces, and the mechanical part, i.e., a dynamic relation from forces to…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Max Bolderman , Mircea Lazar , Hans Butler

This study addresses the challenge of accurately identifying multi-task contention types in high-dimensional system environments and proposes a unified contention classification framework that integrates representation transformation,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-29 Xiao Yang , Yinan Ni , Yuqi Tang , Zhimin Qiu , Chen Wang , Tingzhou Yuan