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A large body of work has suggested that neural populations exhibit low-dimensional dynamics during behavior. However, there are a variety of different approaches for modeling low-dimensional neural population activity. One approach involves…

Neurons and Cognition · Quantitative Biology 2021-10-20 Adrian Valente , Srdjan Ostojic , Jonathan Pillow

Estimating the state of an environment from high-dimensional, multimodal, and noisy observations is a fundamental challenge in reinforcement learning (RL). Traditional approaches rely on probabilistic models to account for the uncertainty,…

Machine Learning · Computer Science 2026-02-13 Alfredo Reichlin , Adriano Pacciarelli , Danica Kragic , Miguel Vasco

Traditional Smooth Transition Autoregressive (STAR) models offer an effective way to model these dynamics through smooth regime changes based on specific transition variables. In this paper, we propose a novel approach by drawing an analogy…

Machine Learning · Computer Science 2025-02-03 Hugo Inzirillo , Remi Genet

Zero-shot generalization (ZSG) to unseen dynamics is a major challenge for creating generally capable embodied agents. To address the broader challenge, we start with the simpler setting of contextual reinforcement learning (cRL), assuming…

Machine Learning · Computer Science 2024-08-06 Sai Prasanna , Karim Farid , Raghu Rajan , André Biedenkapp

In this paper, we tackle the problem of relational behavior forecasting from sensor data. Towards this goal, we propose a novel spatially-aware graph neural network (SpAGNN) that models the interactions between agents in the scene.…

Computer Vision and Pattern Recognition · Computer Science 2019-10-21 Sergio Casas , Cole Gulino , Renjie Liao , Raquel Urtasun

Autonomous vehicles are expected to navigate in complex traffic scenarios with multiple surrounding vehicles. The correlations between road users vary over time, the degree of which, in theory, could be infinitely large, thus posing a great…

Robotics · Computer Science 2019-10-24 Yaohui Guo , Vinay Varma Kalidindi , Mansur Arief , Wenshuo Wang , Jiacheng Zhu , Huei Peng , Ding Zhao

Stochastic Process Model has many applications in analysis of longitudinal biodemographic data. Such data contain various physiological variables (sometimes known as covariates). It also can potentially contain genetic information available…

Populations and Evolution · Quantitative Biology 2016-05-31 Ilya Zhbannikov , Konstantin Arbeev , Anatoliy Yashin

A new dynamic latent space eigenmodel (LSM) is proposed for weighted temporal networks. The model accommodates integer-valued weights, excess of zeros, time-varying node positions (features), and time-varying network sparsity. The latent…

Methodology · Statistics 2026-04-15 Roberto Casarin , Matteo Iacopini , Antonio Peruzzi

Human actions captured in video sequences are three-dimensional signals characterizing visual appearance and motion dynamics. To learn action patterns, existing methods adopt Convolutional and/or Recurrent Neural Networks (CNNs and RNNs).…

Computer Vision and Pattern Recognition · Computer Science 2017-08-15 Lin Sun , Kui Jia , Kevin Chen , Dit Yan Yeung , Bertram E. Shi , Silvio Savarese

Modeling how human moves in the space is useful for policy-making in transportation, public safety, and public health. Human movements can be viewed as a dynamic process that human transits between states (\eg, locations) over time. In the…

Artificial Intelligence · Computer Science 2021-03-24 Hua Wei , Dongkuan Xu , Junjie Liang , Zhenhui Li

We present a novel Multi-Relational Graph Convolutional Network (MRGCN) based framework to model on-road vehicle behaviors from a sequence of temporally ordered frames as grabbed by a moving monocular camera. The input to MRGCN is a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-17 Sravan Mylavarapu , Mahtab Sandhu , Priyesh Vijayan , K Madhava Krishna , Balaraman Ravindran , Anoop Namboodiri

Spatial-temporal data modeling aims to mine the underlying spatial relationships and temporal dependencies of objects in a system. However, most existing methods focus on the modeling of spatial-temporal data in a single mode, lacking the…

Machine Learning · Computer Science 2023-08-23 Zihang Liu , Le Yu , Tongyu Zhu , Leiei Sun

Graph Networks (GNs) enable the fusion of prior knowledge and relational reasoning with flexible function approximations. In this work, a general GN-based model is proposed which takes full advantage of the relational modeling capabilities…

Computational Engineering, Finance, and Science · Computer Science 2021-07-01 Charilaos Mylonas , Imad Abdallah , Eleni Chatzi

Spatiotemporal dynamics models are fundamental for various domains, from heat propagation in materials to oceanic and atmospheric flows. However, currently available neural network-based spatiotemporal modeling approaches fall short when…

Machine Learning · Computer Science 2025-02-11 Valerii Iakovlev , Harri Lähdesmäki

We introduce Neural Dynamical Systems (NDS), a method of learning dynamical models in various gray-box settings which incorporates prior knowledge in the form of systems of ordinary differential equations. NDS uses neural networks to…

Deep neural network models have become ubiquitous in recent years, and have been applied to nearly all areas of science, engineering, and industry. These models are particularly useful for data that have strong dependencies in space (e.g.,…

Machine Learning · Statistics 2022-06-07 Christopher K. Wikle , Andrew Zammit-Mangion

Modelling is an essential procedure in analyzing and controlling a given logical dynamic system (LDS). It has been proved that deterministic LDS can be modeled as a linear-like system using algebraic state space representation. However, due…

Optimization and Control · Mathematics 2022-03-04 Changxi Li , Jun-e Feng , Daizhan Cheng , Xiao Zhang

A nonparametric Bayesian sparse graph linear dynamical system (SGLDS) is proposed to model sequentially observed multivariate data. SGLDS uses the Bernoulli-Poisson link together with a gamma process to generate an infinite dimensional…

Machine Learning · Statistics 2018-02-22 Rahi Kalantari , Joydeep Ghosh , Mingyuan Zhou

Predicting future human motion plays a significant role in human-machine interactions for various real-life applications. A unified formulation and multi-order modeling are two critical perspectives for analyzing and representing human…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Xiaoli Liu , Jianqin Yin , Huaping Liu , Jun Liu

System dynamics (SD) is an effective approach for helping reveal the temporal behavior of complex systems. Although there have been recent developments in expanding SD to include systems' spatial dependencies, most applications have been…

Computational Engineering, Finance, and Science · Computer Science 2015-06-03 Christian Neuwirth , Angela Peck , Slobodan Simonovic