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Learning stable dynamics from observed time-series data is an essential problem in robotics, physical modeling, and systems biology. Many of these dynamics are represented as an inputs-output system to communicate with the external…

Dynamical Systems · Mathematics 2023-01-18 Yuji Okamoto , Ryosuke Kojima

Enabling robots to perform complex dynamic tasks such as picking up an object in one sweeping motion or pushing off a wall to quickly turn a corner is a challenging problem. The dynamic interactions implicit in these tasks are critical…

Robotics · Computer Science 2022-10-03 Saumya Saxena , Oliver Kroemer

Effective control of biological systems can often be achieved through the control of a surprisingly small number of distinct variables. We bring clarity to such results using the formalism of Boolean dynamical networks, analyzing the…

Molecular Networks · Quantitative Biology 2021-09-13 Enrico Borriello , Bryan C. Daniels

Hyperparameter optimization of neural networks can be elegantly formulated as a bilevel optimization problem. While research on bilevel optimization of neural networks has been dominated by implicit differentiation and unrolling,…

Machine Learning · Computer Science 2020-10-27 Juhan Bae , Roger Grosse

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

Dynamical Systems · Mathematics 2023-05-17 Nan Chen , Yinling Zhang

Characterizing the interactions and dynamics of quantum mechanical systems is an essential task in the development of quantum technologies. We propose an efficient protocol based on the estimation of the time derivatives of few qubit…

Optimal feedback control with implicit Hamiltonians poses a fundamental challenge for learning-based value function methods due to the absence of closed-form optimal control laws. Recent work~\cite{gelphman2025end} introduced an implicit…

Optimization and Control · Mathematics 2026-04-28 Eric Gelphman , Deepanshu Verma , Nicole Tianjiao Yang , Stanley Osher , Samy Wu Fung

Cognition is supported by neurophysiological processes that occur both in local anatomical neighborhoods and in distributed large-scale circuits. Recent evidence from network control theory suggests that white matter pathways linking…

Neurons and Cognition · Quantitative Biology 2016-06-30 John D. Medaglia , Shi Gu , Fabio Pasqualetti , Rebecca L. Ashare , Caryn Lerman , Joseph Kable , Danielle S. Bassett

Neural Controlled Differential Equations (Neural CDEs, NCDEs) are a unique branch of methods, specifically tailored for analysing temporal sequences. However, they come with drawbacks, the main one being the number of parameters, required…

Machine Learning · Computer Science 2025-12-25 Ilya Kuleshov , Alexey Zaytsev

Cognitive function is driven by dynamic interactions between large-scale neural circuits or networks, enabling behavior. Fundamental principles constraining these dynamic network processes have remained elusive. Here we use network control…

Neurons and Cognition · Quantitative Biology 2015-10-28 Shi Gu , Fabio Pasqualetti , Matthew Cieslak , Scott T. Grafton , Danielle S. Bassett

Studies regarding knowledge organization and acquisition are of great importance to understand areas related to science and technology. A common way to model the relationship between different concepts is through complex networks. In such…

Social and Information Networks · Computer Science 2018-08-09 Thales S. Lima , Henrique F. de Arruda , Filipi N. Silva , Cesar H. Comin , Diego R. Amancio , Luciano da F. Costa

Brain-wide recordings of large-scale networks of neurons now provide an unprecedented view into how the brain drives behavior. However, brain activity contains both information directly related to behavior as well as the potential for many…

Neurons and Cognition · Quantitative Biology 2026-05-06 Eva Yezerets , En Yang , Misha B. Ahrens , Adam S. Charles

Networks of coupled dynamical systems provide a powerful way to model systems with enormously complex dynamics, such as the human brain. Control of synchronization in such networked systems has far reaching applications in many domains,…

Adaptation and Self-Organizing Systems · Physics 2018-03-21 Julien Gout , Markus Quade , Kamran Shafi , Robert K. Niven , Markus Abel

The neural dynamics underlying brain activity are critical to understanding cognitive processes and mental disorders. However, current voxel-based whole-brain dimensionality reduction techniques fall short of capturing these dynamics,…

Neurons and Cognition · Quantitative Biology 2023-05-25 Eloy Geenjaar , Donghyun Kim , Riyasat Ohib , Marlena Duda , Amrit Kashyap , Sergey Plis , Vince Calhoun

Control of complex systems involves both system identification and controller design. Deep neural networks have proven to be successful in many identification tasks, however, from model-based control perspective, these networks are…

Optimization and Control · Mathematics 2019-02-28 Yize Chen , Yuanyuan Shi , Baosen Zhang

Dynamical systems provide a comprehensive way to study complex and changing behaviors across various sciences. Many modern systems are too complicated to analyze directly or we do not have access to models, driving significant interest in…

Dynamical Systems · Mathematics 2024-07-10 Matthew J. Colbrook , Igor Mezić , Alexei Stepanenko

To make predictions or design control, information on local sensitivity of initial conditions and state-space contraction is both central, and often instrumental. However, it is not always simple to reliably determine instability fields or…

Understanding the dynamics of spatially extended systems represents a challenge in diverse scientific disciplines, ranging from physics and mathematics to the earth and climate sciences or the neurosciences. This challenge has stimulated…

Data Analysis, Statistics and Probability · Physics 2012-08-06 S. Bialonski

A Bayesian network is a graphical model that encodes probabilistic relationships among variables of interest. When used in conjunction with statistical techniques, the graphical model has several advantages for data analysis. One, because…

Machine Learning · Computer Science 2022-01-11 David Heckerman

The characterization of dynamical processes in living systems provides important clues for their mechanistic interpretation and link to biological functions. Thanks to recent advances in microscopy techniques, it is now possible to…

Data Analysis, Statistics and Probability · Physics 2023-11-29 Jesús Pineda , Benjamin Midtvedt , Harshith Bachimanchi , Sergio Noé , Daniel Midtvedt , Giovanni Volpe , Carlo Manzo