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Stochastic dynamics of several systems can be modeled via piecewise deterministic time evolution of the state, interspersed by random discrete events. Within this general class of systems, we consider time-triggered stochastic hybrid…

系统与控制 · 计算机科学 2018-04-27 Mohammad Soltani , Abhyudai Singh

We propose a dynamic edge exchangeable network model that can capture sparse connections observed in real temporal networks, in contrast to existing models which are dense. The model achieved superior link prediction accuracy on multiple…

机器学习 · 统计学 2017-10-12 Yin Cheng Ng , Ricardo Silva

We present a differentiable soft-body physics simulator that can be composed with neural networks as a differentiable layer. In contrast to other differentiable physics approaches that use explicit forward models to define state…

机器学习 · 计算机科学 2021-09-13 Junior Rojas , Eftychios Sifakis , Ladislav Kavan

State-space models (SSMs) have recently attention as an efficient alternative to computationally expensive attention-based models for sequence modeling. They rely on linear recurrences to integrate information over time, enabling fast…

机器学习 · 计算机科学 2026-01-01 Mahdi Karami , Ali Behrouz , Peilin Zhong , Razvan Pascanu , Vahab Mirrokni

Contagions such as the spread of popular news stories, or infectious diseases, propagate in cascades over dynamic networks with unobservable topologies. However, "social signals" such as product purchase time, or blog entry timestamps are…

机器学习 · 统计学 2016-12-21 Brian Baingana , Georgios B. Giannakis

Predictive simulations of complex systems are essential for applications ranging from weather forecasting to drug design. The veracity of these predictions hinges on their capacity to capture the effective system dynamics. Massively…

计算物理 · 物理学 2021-10-20 Pantelis R. Vlachas , Georgios Arampatzis , Caroline Uhler , Petros Koumoutsakos

Producing probabilistic forecasts for large collections of similar and/or dependent time series is a practically relevant and challenging task. Classical time series models fail to capture complex patterns in the data, and multivariate…

机器学习 · 统计学 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

Dynamical Systems is a field that studies the collective behavior of objects that update their states according to some rules. Discrete-time Boolean Finite Dynamical System (DT-BFDS) is a subfield where the systems have some finite number…

计算复杂性 · 计算机科学 2022-11-16 Mitsunori Ogihara , Kei Uchizawa

Current methods for time series forecasting struggle in the online scenario, since it is difficult to preserve long-term dependency while adapting short-term changes when data are arriving sequentially. Although some recent methods solve…

机器学习 · 计算机科学 2025-02-19 Ruichu Cai , Haiqin Huang , Zhifang Jiang , Zijian Li , Changze Zhou , Yuequn Liu , Yuming Liu , Zhifeng Hao

Combined modeling and verification of dynamic systems and the data they operate on has gained momentum in AI and in several application domains. We investigate the expressive yet concise framework of data-aware dynamic systems (DDS),…

计算机科学中的逻辑 · 计算机科学 2022-03-16 Paolo Felli , Marco Montali , Sarah Winkler

Deep Learning is becoming increasingly relevant in Embedded and Internet-of-things applications. However, deploying models on embedded devices poses a challenge due to their resource limitations. This can impact the model's inference…

机器学习 · 计算机科学 2024-03-14 Max Sponner , Lorenzo Servadei , Bernd Waschneck , Robert Wille , Akash Kumar

While the identification of nonlinear dynamical systems is a fundamental building block of model-based reinforcement learning and feedback control, its sample complexity is only understood for systems that either have discrete states and…

机器学习 · 统计学 2020-06-19 Horia Mania , Michael I. Jordan , Benjamin Recht

Real-world time series are often governed by complex nonlinear dynamics. Understanding these underlying dynamics is crucial for precise future prediction. While deep learning has achieved major success in time series forecasting, many…

Motivated by networked systems in random environment and controlled hybrid stochastic dynamic systems, this work focuses on modeling and analysis of a class of switching diffusions consisting of continuous and discrete components. Novel…

概率论 · 数学 2017-06-19 Dang H. Nguyen , George Yin

Subsequence clustering of time series is an essential task in data mining, and interpreting the resulting clusters is also crucial since we generally do not have prior knowledge of the data. Thus, given a large collection of tensor time…

机器学习 · 计算机科学 2024-02-23 Kohei Obata , Koki Kawabata , Yasuko Matsubara , Yasushi Sakurai

Due to the special gating schemes of Long Short-Term Memory (LSTM), LSTMs have shown greater potential to process complex sequential information than the traditional Recurrent Neural Network (RNN). The conventional LSTM, however, fails to…

计算机视觉与模式识别 · 计算机科学 2018-04-13 Naifan Zhuang , The Duc Kieu , Guo-Jun Qi , Kien A. Hua

Detection of critical slowing down (CSD) is the dominant avenue for anticipating critical transitions from noisy time-series data. Most commonly, changes in variance and lag-1 autocorrelation [AC(1)] are used as CSD indicators. However,…

动力系统 · 数学 2024-06-05 Andreas Morr , Niklas Boers

In this paper, we present a deep neural network based adaptive learning (DNN-AL) approach for switched systems. Currently, deep neural network based methods are actively developed for learning governing equations in unknown dynamic systems,…

机器学习 · 计算机科学 2022-07-12 Junjie He , Zhihang Xu , Qifeng Liao

Learning continuous-time stochastic dynamics is a fundamental and essential problem in modeling sporadic time series, whose observations are irregular and sparse in both time and dimension. For a given system whose latent states and…

机器学习 · 计算机科学 2021-04-30 Yingru Liu , Yucheng Xing , Xuewen Yang , Xin Wang , Jing Shi , Di Jin , Zhaoyue Chen

Early work on narrative modeling used explicit plans and goals to generate stories, but the language generation itself was restricted and inflexible. Modern methods use language models for more robust generation, but often lack an explicit…

计算与语言 · 计算机科学 2020-04-09 Noah Weber , Leena Shekhar , Heeyoung Kwon , Niranjan Balasubramanian , Nathanael Chambers