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We introduce OS-net (Orbitally Stable neural NETworks), a new family of neural network architectures specifically designed for periodic dynamical data. OS-net is a special case of Neural Ordinary Differential Equations (NODEs) and takes…

Dynamical Systems · Mathematics 2023-09-27 Marieme Ngom , Carlo Graziani

Recently, the Deep Planning Network (PlaNet) approach was introduced as a model-based reinforcement learning method that learns environment dynamics directly from pixel observations. This architecture is useful for learning tasks in which…

Machine Learning · Computer Science 2019-11-21 Maxime Chevalier-Boisvert , Guillaume Alain , Florian Golemo , Derek Nowrouzezahrai

This paper studies multi-agent systems that involve networks of self-interested agents. We propose a Markov Decision Process-derived framework, called RepNet-MDP, tailored to domains in which agent reputation is a key driver of the…

Artificial Intelligence · Computer Science 2020-10-21 David Maoujoud , Gavin Rens

To improve persistence diagram representation learning, we propose Multiset Transformer. This is the first neural network that utilizes attention mechanisms specifically designed for multisets as inputs and offers rigorous theoretical…

Machine Learning · Computer Science 2024-11-25 Minghua Wang , Ziyun Huang , Jinhui Xu

We study reinforcement learning for partially observed Markov decision processes (POMDPs) with infinite observation and state spaces, which remains less investigated theoretically. To this end, we make the first attempt at bridging partial…

Machine Learning · Computer Science 2024-04-02 Qi Cai , Zhuoran Yang , Zhaoran Wang

The connection of Taylor maps and polynomial neural networks (PNN) to solve ordinary differential equations (ODEs) numerically is considered. Having the system of ODEs, it is possible to calculate weights of PNN that simulates the dynamics…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Andrei Ivanov , Anna Golovkina , Uwe Iben

Modeling 3D dynamics is a fundamental problem in multi-body systems across scientific and engineering domains and has important practical implications in object trajectory prediction and simulation. While recent GNN-based approaches have…

Machine Learning · Computer Science 2026-05-12 Kai Yang , Yuqi Huang , Junheng Tao , Wanyu Wang , Qitian Wu

Due to their intrinsic capabilities on parallel signal processing, optical neural networks (ONNs) have attracted extensive interests recently as a potential alternative to electronic artificial neural networks (ANNs) with reduced power…

Signal Processing · Electrical Eng. & Systems 2024-03-05 Yi-Feng Liu , Rui-Yao Ren , Dai-Bao Hou , Hai-Zhong Weng , Bo-Wen Wang , Ke-Jie Huang , Xing Lin , Feng Liu , Chen-Hui Li , Chao-Yuan Jin

This study develops FusionTransNet, a framework designed for Origin-Destination (OD) flow predictions within smart and multimodal urban transportation systems. Urban transportation complexity arises from the spatiotemporal interactions…

Machine Learning · Computer Science 2024-05-10 Binwu Wang , Yan Leng , Guang Wang , Yang Wang

Social networks represent a common form of interconnected data frequently depicted as graphs within the domain of deep learning-based inference. These communities inherently form dynamic systems, achieving stability through continuous…

Social and Information Networks · Computer Science 2023-10-04 Outongyi Lv , Bingxin Zhou , Jing Wang , Xiang Xiao , Weishu Zhao , Lirong Zheng

We suggest a universal map capable to recover a behavior of a wide range of dynamical systems given by ODEs. The map is built as an artificial neural network whose weights encode a modeled system. We assume that ODEs are known and prepare…

Disordered Systems and Neural Networks · Physics 2023-05-02 Pavel V. Kuptsov , Anna V. Kuptsova , Nataliya V. Stankevich

We consider using deep neural networks to solve time-dependent partial differential equations (PDEs), where multi-scale processing is crucial for modeling complex, time-evolving dynamics. While the U-Net architecture with skip connections…

Machine Learning · Computer Science 2024-03-29 Xuan Zhang , Jacob Helwig , Yuchao Lin , Yaochen Xie , Cong Fu , Stephan Wojtowytsch , Shuiwang Ji

Developing foundational world models is a key research direction for embodied intelligence, with the ability to adapt to non-stationary environments being a crucial criterion. In this work, we introduce a new formalism, Hidden…

Machine Learning · Computer Science 2024-11-05 Emiliyan Gospodinov , Vaisakh Shaj , Philipp Becker , Stefan Geyer , Gerhard Neumann

This study treats transmission scheduling for remote state estimation over unreliable channels with a hidden mode. A local Kalman estimator selects scheduling actions, such as power allocation and resource usage, and communicates with a…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Hampei Sasahara

Dynamic programming (DP) is a fundamental tool used across many engineering fields. The main goal of DP is to solve Bellman's optimality equations for a given Markov decision process (MDP). Standard methods like policy iteration exploit the…

Artificial Intelligence · Computer Science 2025-07-30 Sergio Rozada , Samuel Rey , Gonzalo Mateos , Antonio G. Marques

Model-based reinforcement learning is attractive for sequential decision-making because it explicitly estimates reward and transition models and then supports planning through simulated rollouts. In offline settings with hidden confounding,…

Machine Learning · Computer Science 2026-04-08 Nishanth Venkatesh , Andreas A. Malikopoulos

We study model-based learning of finite-window policies in tabular partially observable Markov decision processes (POMDPs). A common approach to learning under partial observability is to approximate unbounded history dependencies using…

Machine Learning · Computer Science 2026-04-02 Philip Jordan , Maryam Kamgarpour

Object goal navigation aims to steer an agent towards a target object based on observations of the agent. It is of pivotal importance to design effective visual representations of the observed scene in determining navigation actions. In…

Computer Vision and Pattern Recognition · Computer Science 2021-05-21 Heming Du , Xin Yu , Liang Zheng

We present MorphNet, an approach to automate the design of neural network structures. MorphNet iteratively shrinks and expands a network, shrinking via a resource-weighted sparsifying regularizer on activations and expanding via a uniform…

Machine Learning · Computer Science 2018-04-19 Ariel Gordon , Elad Eban , Ofir Nachum , Bo Chen , Hao Wu , Tien-Ju Yang , Edward Choi

Underwater robots in shallow waters usually suffer from strong wave forces, which may frequently exceed robot's control constraints. Learning-based controllers are suitable for disturbance rejection control, but the excessive disturbances…

Robotics · Computer Science 2020-07-30 Tianming Wang , Wenjie Lu , Huan Yu , Dikai Liu