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We present a novel method to improve pharmacokinetics modeling, an essential step of drug development. Conventional models frequently fail to fully represent the intricacies of drug absorption and distribution, which limits their predictive…

Quantitative Methods · Quantitative Biology 2024-12-31 Nazanin Ahmadi , Shupeng Wang , George Karniadakis

Operating complex real-world systems, such as soft robots, can benefit from precise predictive control schemes that require accurate state and model knowledge. This knowledge is typically not available in practical settings and must be…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Jan-Hendrik Ewering , Max Bartholdt , Simon F. G. Ehlers , Niklas Wahlström , Thomas B. Schön , Thomas Seel

Recent advances in artificial intelligence have propelled the development of innovative computational materials modeling and design techniques. Generative deep learning models have been used for molecular representation, discovery, and…

Chemical Physics · Physics 2021-02-12 Navid Shervani-Tabar , Nicholas Zabaras

Understanding and controlling engineered quantum systems is key to developing practical quantum technology. However, given the current technological limitations, such as fabrication imperfections and environmental noise, this is not always…

Many networked systems such as electric networks, the brain, and social networks of opinion dynamics are known to obey conservation laws. Examples of this phenomenon include the Kirchoff laws in electric networks and opinion consensus in…

Machine Learning · Statistics 2022-06-16 Anirudh Rayas , Rajasekhar Anguluri , Gautam Dasarathy

Physics-informed neural network architectures have emerged as a powerful tool for developing flexible PDE solvers which easily assimilate data, but face challenges related to the PDE discretization underpinning them. By instead adapting a…

Numerical Analysis · Mathematics 2020-12-11 Ravi G. Patel , Indu Manickam , Nathaniel A. Trask , Mitchell A. Wood , Myoungkyu Lee , Ignacio Tomas , Eric C. Cyr

We present an algorithm to learn the relevant latent variables of a large-scale discretized physical system and predict its time evolution using thermodynamically-consistent deep neural networks. Our method relies on sparse autoencoders,…

Computational Engineering, Finance, and Science · Computer Science 2021-03-25 Quercus Hernandez , Alberto Badias , David Gonzalez , Francisco Chinesta , Elias Cueto

Biotechnology offers many opportunities for the sustainable manufacturing of valuable products. The toolbox to optimize bioprocesses includes \textit{extracellular} process elements such as the bioreactor design and mode of operation,…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Sebastián Espinel-Ríos , Bruno Morabito , Johannes Pohlodek , Katja Bettenbrock , Steffen Klamt , Rolf Findeisen

Quantitative studies of cell metabolism are often based on large chemical reaction network models. A steady state approach is suited to analyze phenomena on the timescale of cell growth and circumvents the problem of incomplete experimental…

Molecular Networks · Quantitative Biology 2019-02-20 A. De Martino , D. De Martino , E. Marinari

Deep learning (DL) has become an essential tool in prognosis and health management (PHM), commonly used as a regression algorithm for the prognosis of a system's behavior. One particular metric of interest is the remaining useful life (RUL)…

Signal Processing · Electrical Eng. & Systems 2020-06-17 Sergio Cofre-Martel , Enrique Lopez Droguett , Mohammad Modarres

Computational models of atmospheric composition are not always physically consistent. For example, not all models respect fundamental conservation laws such as conservation of atoms in an interconnected chemical system. In well performing…

Atmospheric and Oceanic Physics · Physics 2024-08-30 Patrick Obin Sturm , Sam J. Silva

Invariants and conservation laws convey critical information about the underlying dynamics of a system, yet it is generally infeasible to find them from large-scale data without any prior knowledge or human insight. We propose ConservNet to…

Machine Learning · Computer Science 2021-07-01 Seungwoong Ha , Hawoong Jeong

A central challenge in data-driven model discovery is the presence of hidden, or latent, variables that are not directly measured but are dynamically important. Takens' theorem provides conditions for when it is possible to augment these…

Machine Learning · Computer Science 2022-01-14 Joseph Bakarji , Kathleen Champion , J. Nathan Kutz , Steven L. Brunton

Fast and accurate structural dynamics analysis is important for structural design and damage assessment. Structural dynamics analysis leveraging machine learning techniques has become a popular research focus in recent years. Although the…

Geophysics · Physics 2020-12-29 Yuan Feng , Hexiang Wang , Han Yang , Fangbo Wang

We propose a new method for spatio-temporal forecasting on arbitrarily distributed points. Assuming that the observed system follows an unknown partial differential equation, we derive a continuous-time model for the dynamics of the data…

Machine Learning · Computer Science 2022-03-18 Marten Lienen , Stephan Günnemann

Most recent advances in machine learning and analytics for process control pose the question of how to naturally integrate new data-driven methods with classical process models and control. We propose a process modeling framework enabling…

Neural and Evolutionary Computing · Computer Science 2025-08-08 Michael R. Wartmann , B. Erik Ydstie

Deep learning has been widely used within learning algorithms for robotics. One disadvantage of deep networks is that these networks are black-box representations. Therefore, the learned approximations ignore the existing knowledge of…

Machine Learning · Computer Science 2023-03-20 Michael Lutter , Jan Peters

Identifying dynamical systems from experimental data is a notably difficult task. Prior knowledge generally helps, but the extent of this knowledge varies with the application, and customized models are often needed. Neural ordinary…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Mona Buisson-Fenet , Valery Morgenthaler , Sebastian Trimpe , Florent Di Meglio

Recent advances in deep learning frameworks have established valuable tools for analyzing the long-timescale behavior of complex systems such as proteins. Especially the inclusion of physical constraints, e.g. time-reversibility, was a…

Quantitative Methods · Quantitative Biology 2021-12-22 Andreas Mardt , Frank Noé

Learning physically structured representations of dynamical systems that include contact between different objects is an important problem for learning-based approaches in robotics. Black-box neural networks can learn to approximately…

Machine Learning · Computer Science 2022-08-16 Andreas Hochlehnert , Alexander Terenin , Steindór Sæmundsson , Marc Peter Deisenroth