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Time series (TS) modeling has come a long way from early statistical, mainly linear, approaches to the current trend in TS foundation models. With a lot of hype and industrial demand in this field, it is not always clear how much progress…

Data-driven inference of the generative dynamics underlying a set of observed time series is of growing interest in machine learning and the natural sciences. In neuroscience, such methods promise to alleviate the need to handcraft models…

机器学习 · 计算机科学 2024-11-06 Eric Volkmann , Alena Brändle , Daniel Durstewitz , Georgia Koppe

In-context learning, the ability of large language models to perform tasks using only examples provided in the prompt, has recently been adapted for time series forecasting. This paradigm enables zero-shot prediction, where past values…

机器学习 · 计算机科学 2025-11-04 Andreas Auer , Patrick Podest , Daniel Klotz , Sebastian Böck , Günter Klambauer , Sepp Hochreiter

This work proposes a novel neural network architecture, called the Dynamically Controlled Recurrent Neural Network (DCRNN), specifically designed to model dynamical systems that are governed by ordinary differential equations (ODEs). The…

神经与进化计算 · 计算机科学 2019-11-04 Yiwei Fu , Samer Saab , Asok Ray , Michael Hauser

While dense non-rigid structure from motion (NRSfM) has been extensively studied from the perspective of the reconstructability problem over the recent years, almost no attempts have been undertaken to bring it into the practical realm. The…

计算机视觉与模式识别 · 计算机科学 2020-07-01 Vladislav Golyanik , André Jonas , Didier Stricker , Christian Theobalt

How to improve the ability of scene representation is a key issue in vision-oriented decision-making applications, and current approaches usually learn task-relevant state representations within visual reinforcement learning to address this…

人工智能 · 计算机科学 2024-10-24 Dayang Liang , Jinyang Lai , Yunlong Liu

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…

Diffusion models (DMs) have shown promising results on single-image super-resolution and other image-to-image translation tasks. Benefiting from more computational resources and longer inference times, they are able to yield more realistic…

计算机视觉与模式识别 · 计算机科学 2024-10-24 Yuanting Fan , Chengxu Liu , Nengzhong Yin , Changlong Gao , Xueming Qian

In science, we are often interested in obtaining a generative model of the underlying system dynamics from observed time series. While powerful methods for dynamical systems reconstruction (DSR) exist when data come from a single domain,…

机器学习 · 计算机科学 2025-02-18 Manuel Brenner , Elias Weber , Georgia Koppe , Daniel Durstewitz

In science we are interested in finding the governing equations, the dynamical rules, underlying empirical phenomena. While traditionally scientific models are derived through cycles of human insight and experimentation, recently deep…

机器学习 · 计算机科学 2024-06-11 Niclas Göring , Florian Hess , Manuel Brenner , Zahra Monfared , Daniel Durstewitz

Empirically observed time series in physics, biology, or medicine, are commonly generated by some underlying dynamical system (DS) which is the target of scientific interest. There is an increasing interest to harvest machine learning…

机器学习 · 计算机科学 2022-07-07 Daniel Kramer , Philine Lou Bommer , Carlo Tombolini , Georgia Koppe , Daniel Durstewitz

Learning complex trajectories from demonstrations in robotic tasks has been effectively addressed through the utilization of Dynamical Systems (DS). State-of-the-art DS learning methods ensure stability of the generated trajectories;…

机器人学 · 计算机科学 2024-12-10 Andreas Sochopoulos , Michael Gienger , Sethu Vijayakumar

Dynamical Systems (DS) are an effective and powerful means of shaping high-level policies for robotics control. They provide robust and reactive control while ensuring the stability of the driving vector field. The increasing complexity of…

机器人学 · 计算机科学 2024-03-19 Bernardo Fichera , Aude Billard

Many, if not most, systems of interest in science are naturally described as nonlinear dynamical systems. Empirically, we commonly access these systems through time series measurements. Often such time series may consist of discrete random…

机器学习 · 计算机科学 2024-06-10 Manuel Brenner , Florian Hess , Georgia Koppe , Daniel Durstewitz

Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly…

动力系统 · 数学 2024-08-06 George Haller , Bálint Kaszás

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

Most conventional supervised super-resolution (SR) algorithms assume that low-resolution (LR) data is obtained by downscaling high-resolution (HR) data with a fixed known kernel, but such an assumption often does not hold in real scenarios.…

计算机视觉与模式识别 · 计算机科学 2020-11-10 Suyoung Lee , Myungsub Choi , Kyoung Mu Lee

Recent advances in autoregressive neural surrogate models have enabled orders-of-magnitude speedups in simulating dynamical systems. However, autoregressive models are generally prone to distribution drift: compounding errors in…

机器学习 · 计算机科学 2026-03-19 Qi Liu , Laure Zanna , Joan Bruna

Optimal decision-making in social settings is often based on forecasts from time series (TS) data. Recently, several approaches using deep neural networks (DNNs) such as recurrent neural networks (RNNs) have been introduced for TS…

机器学习 · 计算机科学 2020-11-17 Philippe Chatigny , Jean-Marc Patenaude , Shengrui Wang

Learning models for dynamical systems in continuous time is significant for understanding complex phenomena and making accurate predictions. This study presents a novel approach utilizing differential neural networks (DNNs) to model…

机器学习 · 计算机科学 2024-12-13 Wenjie Mei , Xiaorui Wang , Yanrong Lu , Ke Yu , Shihua Li
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