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Dynamical systems theory has long provided a foundation for understanding evolving phenomena across scientific domains. Yet, the application of this theory to complex real-world systems remains challenging due to issues in mathematical…

机器学习 · 计算机科学 2024-11-05 Samuel A. Moore , Brian P. Mann , Boyuan Chen

Modeling and controlling complex spatiotemporal dynamical systems driven by partial differential equations (PDEs) often necessitate dimensionality reduction techniques to construct lower-order models for computational efficiency. This paper…

系统与控制 · 电气工程与系统科学 2024-09-12 Priyabrata Saha , Saibal Mukhopadhyay

We present a novel, model-free, and data-driven methodology for controlling complex dynamical systems into previously unseen target states, including those with significantly different and complex dynamics. Leveraging a parameter-aware…

混沌动力学 · 物理学 2026-02-13 Daniel Köglmayr , Alexander Haluszczynski , Christoph Räth

We present a framework for the unsupervised learning of neurosymbolic encoders, which are encoders obtained by composing neural networks with symbolic programs from a domain-specific language. Our framework naturally incorporates symbolic…

机器学习 · 计算机科学 2022-12-22 Eric Zhan , Jennifer J. Sun , Ann Kennedy , Yisong Yue , Swarat Chaudhuri

We investigate recurrent neural networks with asymmetric interactions and demonstrate that the inclusion of self-couplings or sparse excitatory inter-module connections leads to the emergence of a densely connected manifold of dynamically…

无序系统与神经网络 · 物理学 2026-01-01 Davide Badalotti , Carlo Baldassi , Marc Mézard , Mattia Scardecchia , Riccardo Zecchina

We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear…

最优化与控制 · 数学 2014-09-24 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

High-dimensional observations and unknown dynamics are major challenges when applying optimal control to many real-world decision making tasks. The Learning Controllable Embedding (LCE) framework addresses these challenges by embedding the…

机器学习 · 计算机科学 2020-03-03 Rui Shu , Tung Nguyen , Yinlam Chow , Tuan Pham , Khoat Than , Mohammad Ghavamzadeh , Stefano Ermon , Hung H. Bui

The control of nonlinear dynamical systems remains a major challenge for autonomous agents. Current trends in reinforcement learning (RL) focus on complex representations of dynamics and policies, which have yielded impressive results in…

机器学习 · 计算机科学 2020-05-13 Hany Abdulsamad , Jan Peters

This thesis delves into the world of non-invasive electrophysiological brain signals like electroencephalography (EEG) and magnetoencephalography (MEG), focusing on modelling and decoding such data. The research aims to investigate what…

信号处理 · 电气工程与系统科学 2025-10-30 Richard Csaky

Real-time decoding of target variables from multiple simultaneously recorded neural time-series modalities, such as discrete spiking activity and continuous field potentials, is important across various neuroscience applications. However, a…

机器学习 · 计算机科学 2025-12-16 Eray Erturk , Maryam M. Shanechi

In both neuroscience and artificial intelligence, popular functional frameworks and neural network formulations operate by making use of extrinsic error measurements and global learning algorithms. Through a set of conjectures based on…

神经元与认知 · 定量生物学 2026-02-18 Linus Mårtensson , Jonas M. D. Enander , Udaya B. Rongala , Henrik Jörntell

Dynamical systems are ubiquitous within science and engineering, from turbulent flow across aircraft wings to structural variability of proteins. Although some systems are well understood and simulated, scientific imaging often confronts…

计算机视觉与模式识别 · 计算机科学 2025-09-03 Ali SaraerToosi , Renbo Tu , Kamyar Azizzadenesheli , Aviad Levis

Empirically observed time series in physics, biology, or medicine, are commonly generated by some underlying dynamical system (DS) which is the target of scientific interest. There is an increasing interest to harvest machine learning…

机器学习 · 计算机科学 2022-07-07 Daniel Kramer , Philine Lou Bommer , Carlo Tombolini , Georgia Koppe , Daniel Durstewitz

Controlling continuous-time dynamical systems is generally a two step process: first, identify or model the system dynamics with differential equations, then, minimize the control objectives to achieve optimal control function and optimal…

人工智能 · 计算机科学 2024-04-23 Cheng Chi

The emergence of collective dynamics in neural networks is a mechanism of the animal and human brain for information processing. In this paper, we develop a computational technique using distributed processing elements in a complex network,…

人工智能 · 计算机科学 2018-02-20 Filipe Alves Neto Verri , Paulo Roberto Urio , Liang Zhao

Large and diverse datasets have been the cornerstones of many impressive advancements in artificial intelligence. Intelligent creatures, however, learn by interacting with the environment, which changes the input sensory signals and the…

机器学习 · 计算机科学 2022-10-25 Hao Liu , Tom Zahavy , Volodymyr Mnih , Satinder Singh

Discovering governing equations of complex network dynamics is a fundamental challenge in contemporary science with rich data, which can uncover the mysterious patterns and mechanisms of the formation and evolution of complex phenomena in…

人工智能 · 计算机科学 2024-11-12 Jiao Hu , Jiaxu Cui , Bo Yang

Generative model-based motion prediction techniques have recently realized predicting controlled human motions, such as predicting multiple upper human body motions with similar lower-body motions. However, to achieve this, the…

计算机视觉与模式识别 · 计算机科学 2022-07-05 Chunzhi Gu , Jun Yu , Chao Zhang

Unsupervised pre-training was a critical technique for training deep neural networks years ago. With sufficient labeled data and modern training techniques, it is possible to train very deep neural networks from scratch in a purely…

计算机视觉与模式识别 · 计算机科学 2017-03-29 Jianfeng Dong , Xiao-Jiao Mao , Chunhua Shen , Yu-Bin Yang

Unsupervised learning plays an important role in many fields, such as artificial intelligence, machine learning, and neuroscience. Compared to static data, methods for extracting low-dimensional structure for dynamic data are lagging. We…

机器学习 · 计算机科学 2022-03-07 Rui Meng , Tianyi Luo , Kristofer Bouchard