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Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

统计力学 · 物理学 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

Reinforcement learning is a powerful paradigm for learning optimal policies from experimental data. However, to find optimal policies, most reinforcement learning algorithms explore all possible actions, which may be harmful for real-world…

机器学习 · 统计学 2017-11-15 Felix Berkenkamp , Matteo Turchetta , Angela P. Schoellig , Andreas Krause

We consider the application of deep generative models in propagating uncertainty through complex physical systems. Specifically, we put forth an implicit variational inference formulation that constrains the generative model output to…

机器学习 · 统计学 2018-12-11 Yibo Yang , Paris Perdikaris

A class of polynomial dynamical systems called complex-balanced are locally stable and conjectured to be globally stable. In general, complex-balancing is not a robust property, i.e., small changes in parameter values may result in the loss…

动力系统 · 数学 2022-10-26 Polly Y. Yu

Multidimensional systems coupled via complex networks are widespread in nature and thus frequently invoked for a large plethora of interesting applications. From ecology to physics, individual entities in mutual interactions are grouped in…

物理与社会 · 物理学 2018-11-21 Giulia Cencetti , Franco Bagnoli , Giorgio Battistelli , Luigi Chisci , Duccio Fanelli

As artificial intelligence (AI) becomes increasingly embedded in the core functions of social, political, and economic life, it catalyzes structural transformations with far-reaching societal implications. This paper advances the concept of…

计算机与社会 · 计算机科学 2025-05-19 Kyle A Kilian

When designing controllers for safety-critical systems, practitioners often face a challenging tradeoff between robustness and performance. While robust control methods provide rigorous guarantees on system stability under certain…

机器学习 · 计算机科学 2021-04-27 Priya L. Donti , Melrose Roderick , Mahyar Fazlyab , J. Zico Kolter

A generative recurrent neural network is quickly trained in an unsupervised manner to model popular reinforcement learning environments through compressed spatio-temporal representations. The world model's extracted features are fed into…

机器学习 · 计算机科学 2018-09-07 David Ha , Jürgen Schmidhuber

As humans, our goals and our environment are persistently changing throughout our lifetime based on our experiences, actions, and internal and external drives. In contrast, typical reinforcement learning problem set-ups consider decision…

机器学习 · 计算机科学 2020-06-19 Annie Xie , James Harrison , Chelsea Finn

We study a system whose dynamics are governed by predictions of its future states. A general formalism and concrete examples are presented. We find that the dynamical characteristics depend on how to shape the predictions as well as on how…

其他凝聚态物理 · 物理学 2015-06-25 Toru Ohira

We propose and study a system whose dynamics are governed by predictions of its future states. General formalism and concrete examples are presented. We find that the dynamical characteristics depend on both how to shape predictions as well…

其他凝聚态物理 · 物理学 2007-05-23 Toru Ohira

Leveraging machine learning methods to solve constraint satisfaction problems has shown promising, but they are mostly limited to a static situation where the problem description is completely known and fixed from the beginning. In this…

机器学习 · 计算机科学 2025-09-23 Wook Lee , Frans A. Oliehoek

Dynamical systems, that are used to model power grids, the brain, and other physical systems, can exhibit coexisting stable states known as attractors. A powerful tool to understand such systems, as well as to better predict when they may…

动力系统 · 数学 2023-07-31 George Datseris , Kalel Luiz Rossi , Alexandre Wagemakers

Critical points separate distinct dynamical regimes of complex systems, often delimiting functional or macroscopic phases in which the system operates. However, the long-term prediction of critical regimes and behaviors is challenging given…

物理与社会 · 物理学 2025-04-15 Xiangrong Wang , Dan Lu , Zongze Wu , Weina Xu , Hongru Hou , Yanqing Hu , Yamir Moreno

This paper presents a new approach to distributed controller design that exploits a partial-structure representation of linear time invariant systems to characterize the structure of a system. This partial-structure representation, called…

最优化与控制 · 数学 2012-09-18 Anurag Rai , Sean Warnick

Learned optimizers -- neural networks that are trained to act as optimizers -- have the potential to dramatically accelerate training of machine learning models. However, even when meta-trained across thousands of tasks at huge…

机器学习 · 计算机科学 2022-09-23 James Harrison , Luke Metz , Jascha Sohl-Dickstein

A classical approach to formal policy synthesis in stochastic dynamical systems is to construct a finite-state abstraction, often represented as a Markov decision process (MDP). The correctness of these approaches hinges on a behavioural…

系统与控制 · 电气工程与系统科学 2025-08-08 Thom Badings , Alessandro Abate

The current dominant paradigm in sensorimotor control, whether imitation or reinforcement learning, is to train policies directly in raw action spaces such as torque, joint angle, or end-effector position. This forces the agent to make…

机器学习 · 计算机科学 2020-12-07 Shikhar Bahl , Mustafa Mukadam , Abhinav Gupta , Deepak Pathak

Despite their impressive performance, contemporary neural networks often lack structural safeguards that promote stable learning and interpretable behavior. In this work, we introduce a reformulation of layer-level transformations that…

机器学习 · 计算机科学 2025-08-04 Saleh Nikooroo , Thomas Engel

Local decision rules are commonly understood to be more explainable, due to the local nature of the patterns involved. With numerical optimization methods such as gradient boosting, ensembles of local decision rules can gain good predictive…

机器学习 · 计算机科学 2025-08-27 Xin Du , Subramanian Ramamoorthy , Wouter Duivesteijn , Jin Tian , Mykola Pechenizkiy