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Delay Differential Equations (DDEs) are a class of differential equations that can model diverse scientific phenomena. However, identifying the parameters, especially the time delay, that make a DDE's predictions match experimental results…

机器学习 · 计算机科学 2024-05-16 Robert Stephany

Predicting the evolution of systems that exhibit spatio-temporal dynamics in response to external stimuli is a key enabling technology fostering scientific innovation. Traditional equations-based approaches leverage first principles to…

机器学习 · 计算机科学 2023-05-02 Francesco Regazzoni , Stefano Pagani , Matteo Salvador , Luca Dede' , Alfio Quarteroni

While numerous methods achieving remarkable performance exist in the Object Detection literature, addressing data distribution shifts remains challenging. Continual Learning (CL) offers solutions to this issue, enabling models to adapt to…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Francesco Pasti , Marina Ceccon , Davide Dalle Pezze , Francesco Paissan , Elisabetta Farella , Gian Antonio Susto , Nicola Bellotto

Time series anomaly detection is a challenging problem due to the complex temporal dependencies and the limited label data. Although some algorithms including both traditional and deep models have been proposed, most of them mainly focus on…

机器学习 · 计算机科学 2023-03-28 Chaoli Zhang , Tian Zhou , Qingsong Wen , Liang Sun

Modeling and simulation of complex fluid flows with dynamics that span multiple spatio-temporal scales is a fundamental challenge in many scientific and engineering domains. Full-scale resolving simulations for systems such as highly…

机器学习 · 计算机科学 2025-02-13 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

机器学习 · 计算机科学 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee

In designing efficient feedback control laws for fluid flow, the modern control theory can serve as a powerful tool if the model can be represented by a linear ordinary differential equation (ODE). However, it is generally difficult to find…

流体动力学 · 物理学 2023-11-16 Hiroshi Omichi , Takeru Ishize , Koji Fukagata

Frequency domain representation of time series feature offers a concise representation for handling real-world time series data with inherent complexity and dynamic nature. However, current frequency-based methods with complex operations…

计算机视觉与模式识别 · 计算机科学 2024-07-22 Xianing Chen , Hanting Chen , Hailin Hu

Increased use of sensor signals from wearable devices as rich sources of physiological data has sparked growing interest in developing health monitoring systems to identify changes in an individual's health profile. Indeed, machine learning…

机器学习 · 计算机科学 2022-10-17 Magda Amiridi , Gregory Darnell , Sean Jewell

Anomaly subsequence detection is to detect inconsistent data, which always contains important information, among time series. Due to the high dimensionality of the time series, traditional anomaly detection often requires a large time…

机器学习 · 计算机科学 2019-07-02 Chunkai Zhang , Yingyang Chen , Ao Yin

Many real-world time series exhibit strong periodic structures arising from physical laws, human routines, or seasonal cycles. However, modern deep forecasting models often fail to capture these recurring patterns due to spectral bias and a…

机器学习 · 计算机科学 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Lijun Sun

Learning a stable Linear Dynamical System (LDS) from data involves creating models that both minimize reconstruction error and enforce stability of the learned representation. We propose a novel algorithm for learning stable LDSs. Using a…

机器学习 · 计算机科学 2020-11-19 Giorgos Mamakoukas , Orest Xherija , T. D. Murphey

In the traditional framework of spectral learning of stochastic time series models, model parameters are estimated based on trajectories of fully recorded observations. However, real-world time series data often contain missing values, and…

机器学习 · 计算机科学 2018-10-22 Tianlin Liu

In this paper, we propose to model the video dynamics by learning the trajectory of independently inverted latent codes from GANs. The entire sequence is seen as discrete-time observations of a continuous trajectory of the initial latent…

计算机视觉与模式识别 · 计算机科学 2023-04-25 Weihao Xia , Yujiu Yang , Jing-Hao Xue

Latent dynamics models have emerged as powerful tools for modeling and interpreting neural population activity. Recently, there has been a focus on incorporating simultaneously measured behaviour into these models to further disentangle…

神经元与认知 · 定量生物学 2021-10-29 Cole Hurwitz , Akash Srivastava , Kai Xu , Justin Jude , Matthew G. Perich , Lee E. Miller , Matthias H. Hennig

This thesis makes considerable contributions to the realm of machine learning, specifically in the context of open-world scenarios where systems face previously unseen data and contexts. Traditional machine learning models are usually…

机器学习 · 计算机科学 2023-10-11 Yiyou Sun

Learning from Demonstration (LfD) is a useful paradigm for training policies that solve tasks involving complex motions, such as those encountered in robotic manipulation. In practice, the successful application of LfD requires overcoming…

人工智能 · 计算机科学 2025-02-12 Peter David Fagan , Subramanian Ramamoorthy

Neural CDEs provide a natural way to process the temporal evolution of irregular time series. The number of function evaluations (NFE) is these systems' natural analog of depth (the number of layers in traditional neural networks). It is…

机器学习 · 计算机科学 2026-01-27 Ilya Kuleshov , Evgenia Romanenkova , Vladislav Zhuzhel , Galina Boeva , Evgeni Vorsin , Alexey Zaytsev

Data-driven modeling of constrained multibody dynamics remains challenged by (i) the training cost of Neural ODEs, which typically require backpropagation through an ODE solver, and (ii) error accumulation in rollout predictions. We…

机器学习 · 计算机科学 2026-03-23 Hongyu Wang , Jingquan Wang , Dan Negrut

Reinforcement learning algorithms are typically designed for discrete-time dynamics, even though the underlying real-world control systems are often continuous in time. In this paper, we study the problem of continuous-time reinforcement…

机器学习 · 计算机科学 2026-03-03 Klemens Iten , Lenart Treven , Bhavya Sukhija , Florian Dörfler , Andreas Krause