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Causal discovery is a data-driven paradigm for analyzing complex systems, while physics-based models, such as ordinary differential equations (ODEs), provide mechanistic structure for real-world dynamical processes. Integrating these…

机器学习 · 计算机科学 2026-05-21 Jianhong Chen , Naichen Shi , Xubo Yue

Ordinary differential equations (ODE) have been widely used for modeling dynamical complex systems. For high-dimensional ODE models where the number of differential equations is large, it remains challenging to estimate the ODE parameters…

统计方法学 · 统计学 2022-06-20 Muye Nanshan , Nan Zhang , Xiaolei Xun , Jiguo Cao

We address the problem of learning the dynamics of an unknown non-parametric system linking a target and a feature time series. The feature time series is measured on a sparse and irregular grid, while we have access to only a few points of…

机器学习 · 统计学 2023-06-01 Linus Bleistein , Adeline Fermanian , Anne-Sophie Jannot , Agathe Guilloux

We present a new scientific machine learning method that learns from data a computationally inexpensive surrogate model for predicting the evolution of a system governed by a time-dependent nonlinear partial differential equation (PDE), an…

数值分析 · 数学 2022-02-28 Elizabeth Qian , Ionut-Gabriel Farcas , Karen Willcox

Stance detection is an important component of understanding hidden influences in everyday life. Since there are thousands of potential topics to take a stance on, most with little to no training data, we focus on zero-shot stance detection:…

计算与语言 · 计算机科学 2020-10-09 Emily Allaway , Kathleen McKeown

The imputation of missing values represents a significant obstacle for many real-world data analysis pipelines. Here, we focus on time series data and put forward SSSD, an imputation model that relies on two emerging technologies,…

机器学习 · 计算机科学 2023-05-09 Juan Miguel Lopez Alcaraz , Nils Strodthoff

We describe a method for the identification of models for dynamical systems from observational data. The method is based on the concept of symbolic regression and uses genetic programming to evolve a system of ordinary differential…

机器学习 · 计算机科学 2021-07-14 Gabriel Kronberger , Lukas Kammerer , Michael Kommenda

Zero-shot inference is a powerful paradigm that enables the use of large pretrained models for downstream classification tasks without further training. However, these models are vulnerable to inherited biases that can impact their…

机器学习 · 计算机科学 2024-02-13 Dyah Adila , Changho Shin , Linrong Cai , Frederic Sala

We propose a new class of parameterizations for spatio-temporal point processes which leverage Neural ODEs as a computational method and enable flexible, high-fidelity models of discrete events that are localized in continuous time and…

机器学习 · 计算机科学 2021-03-19 Ricky T. Q. Chen , Brandon Amos , Maximilian Nickel

This paper presents a fast algorithm for estimating hidden states of Bayesian state space models. The algorithm is a variation of amortized simulation-based inference algorithms, where a large number of artificial datasets are generated at…

计量经济学 · 经济学 2022-10-14 Ramis Khabibullin , Sergei Seleznev

We introduce a novel grid-independent model for learning partial differential equations (PDEs) from noisy and partial observations on irregular spatiotemporal grids. We propose a space-time continuous latent neural PDE model with an…

机器学习 · 计算机科学 2023-10-27 Valerii Iakovlev , Markus Heinonen , Harri Lähdesmäki

In conventional ODE modelling coefficients of an equation driving the system state forward in time are estimated. However, for many complex systems it is practically impossible to determine the equations or interactions governing the…

Differential equations in general and neural ODEs in particular are an essential technique in continuous-time system identification. While many deterministic learning algorithms have been designed based on numerical integration via the…

机器学习 · 计算机科学 2021-10-18 Lenart Treven , Philippe Wenk , Florian Dörfler , Andreas Krause

Data-driven modelling and scientific machine learning have been responsible for significant advances in determining suitable models to describe data. Within dynamical systems, neural ordinary differential equations (ODEs), where the system…

机器学习 · 计算机科学 2024-05-08 Gevik Grigorian , Sandip V. George , Simon Arridge

We consider the problem of forecasting complex, nonlinear space-time processes when observations provide only partial information of on the system's state. We propose a natural data-driven framework, where the system's dynamics are modelled…

系统与控制 · 计算机科学 2019-03-01 Ibrahim Ayed , Emmanuel de Bézenac , Arthur Pajot , Julien Brajard , Patrick Gallinari

To overcome the absence of training data for unseen classes, conventional zero-shot learning approaches mainly train their model on seen datapoints and leverage the semantic descriptions for both seen and unseen classes. Beyond exploiting…

机器学习 · 计算机科学 2019-10-22 Hyeonwoo Yu , Beomhee Lee

Irregular multivariate time series with missing values present significant challenges for predictive modeling in domains such as healthcare. While deep learning approaches often focus on temporal interpolation or complex architectures to…

机器学习 · 计算机科学 2026-03-16 Dingyi Nie , Yixing Wu , C. -C. Jay Kuo

Ordinary and stochastic differential equations (ODEs and SDEs) are widely used to model continuous-time processes across various scientific fields. While ODEs offer interpretability and simplicity, SDEs incorporate randomness, providing…

统计方法学 · 统计学 2025-05-20 Qingchuan Sun , Susanne Ditlevsen

This is the second part of four series papers, aiming at the problem of sensor dynamics compensation for abstract linear systems. Two major issues are addressed. The first one is about the sensor dynamics compensation in system observation…

系统与控制 · 电气工程与系统科学 2020-09-04 Hongyinping Feng , Xiao-Hui Wu , Bao-Zhu Guo

Missing data imputation can help improve the performance of prediction models in situations where missing data hide useful information. This paper compares methods for imputing missing categorical data for supervised classification tasks.…

机器学习 · 统计学 2020-08-11 Jason Poulos , Rafael Valle