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Ordinary and partial differential equations (ODEs/PDEs) play a paramount role in analyzing and simulating complex dynamic processes across all corners of science and engineering. In recent years machine learning tools are aspiring to…

机器学习 · 计算机科学 2021-06-11 Sifan Wang , Paris Perdikaris

Decision-making often requires accurate estimation of treatment effects from observational data. This is challenging as outcomes of alternative decisions are not observed and have to be estimated. Previous methods estimate outcomes based on…

机器学习 · 计算机科学 2021-10-14 Tobias Hatt , Stefan Feuerriegel

Neural ordinary differential equations (ODEs) have attracted much attention as continuous-time counterparts of deep residual neural networks (NNs), and numerous extensions for recurrent NNs have been proposed. Since the 1980s, ODEs have…

机器学习 · 计算机科学 2022-10-17 Kazuki Irie , Francesco Faccio , Jürgen Schmidhuber

Time-series data in real-world medical settings typically exhibit long-range dependencies and are observed at non-uniform intervals. In such contexts, traditional sequence-based recurrent models struggle. To overcome this, researchers…

机器学习 · 统计学 2024-03-18 Fernando Moreno-Pino , Álvaro Arroyo , Harrison Waldon , Xiaowen Dong , Álvaro Cartea

Neural ordinary differential equations (Neural ODEs) are an effective framework for learning dynamical systems from irregularly sampled time series data. These models provide a continuous-time latent representation of the underlying…

机器学习 · 计算机科学 2023-03-06 Edward De Brouwer , Rahul G. Krishnan

Estimating treatment effects, especially individualized treatment effects (ITE), using observational data is challenging due to the complex situations of confounding bias. Existing approaches for estimating treatment effects from…

机器学习 · 统计学 2022-07-26 Zheng Feng , Mattia Prosperi , Jiang Bian

Causal inference methods are widely applied in the fields of medicine, policy, and economics. Central to these applications is the estimation of treatment effects to make decisions. Current methods make binary yes-or-no decisions based on…

机器学习 · 计算机科学 2020-04-24 Will Y. Zou , Smitha Shyam , Michael Mui , Mingshi Wang , Jan Pedersen , Zoubin Ghahramani

Continuous deep learning architectures have recently re-emerged as Neural Ordinary Differential Equations (Neural ODEs). This infinite-depth approach theoretically bridges the gap between deep learning and dynamical systems, offering a…

机器学习 · 计算机科学 2021-01-12 Stefano Massaroli , Michael Poli , Jinkyoo Park , Atsushi Yamashita , Hajime Asama

Diffusion-based inverse algorithms have shown remarkable performance across various inverse problems, yet their reliance on numerous denoising steps incurs high computational costs. While recent developments of fast diffusion ODE solvers…

计算机视觉与模式识别 · 计算机科学 2025-10-22 Jiawei Zhang , Ziyuan Liu , Leon Yan , Gen Li , Yuantao Gu

Ordinary differential equations (ODEs), via their induced flow maps, provide a powerful framework to parameterize invertible transformations for the purpose of representing complex probability distributions. While such models have achieved…

统计理论 · 数学 2023-09-06 Youssef Marzouk , Zhi Ren , Sven Wang , Jakob Zech

The existing Neural ODE formulation relies on an explicit knowledge of the termination time. We extend Neural ODEs to implicitly defined termination criteria modeled by neural event functions, which can be chained together and…

机器学习 · 计算机科学 2021-10-28 Ricky T. Q. Chen , Brandon Amos , Maximilian Nickel

Learning underlying dynamics from data is important and challenging in many real-world scenarios. Incorporating differential equations (DEs) to design continuous networks has drawn much attention recently, however, most prior works make…

机器学习 · 计算机科学 2023-02-03 Yesom Park , Jaemoo Choi , Changyeon Yoon , Chang hoon Song , Myungjoo Kang

Estimating how a treatment affects different individuals, known as heterogeneous treatment effect estimation, is an important problem in empirical sciences. In the last few years, there has been a considerable interest in adapting machine…

机器学习 · 计算机科学 2024-10-18 Christopher Tran , Keith Burghardt , Kristina Lerman , Elena Zheleva

Accurately estimating heterogeneous treatment effects (HTE) in longitudinal settings is essential for personalized decision-making across healthcare, public policy, education, and digital marketing. However, time-varying interventions…

统计方法学 · 统计学 2025-10-28 Lei Shi , Sizhu Lu , Qiuran Lyu , Peng Ding , Nikos Vlassis

Estimating how a treatment affects units individually, known as heterogeneous treatment effect (HTE) estimation, is an essential part of decision-making and policy implementation. The accumulation of large amounts of data in many domains,…

机器学习 · 计算机科学 2022-06-28 Christopher Tran , Elena Zheleva

Recent works on optical flow estimation use neural networks to predict the flow field that maps positions of one image to positions of the other. These networks consist of a feature extractor, a correlation volume, and finally several…

计算机视觉与模式识别 · 计算机科学 2025-06-05 Leyla Mirvakhabova , Hong Cai , Jisoo Jeong , Hanno Ackermann , Farhad Zanjani , Fatih Porikli

Latent ODE models provide flexible descriptions of dynamic systems, but they can struggle with extrapolation and predicting complicated non-linear dynamics. The latent ODE approach implicitly relies on encoders to identify unknown system…

机器学习 · 计算机科学 2024-10-14 Matt L. Sampson , Peter Melchior

Uncertainty estimation aims to evaluate the confidence of a trained deep neural network. However, existing uncertainty estimation approaches rely on low-dimensional distributional assumptions and thus suffer from the high dimensionality of…

机器学习 · 计算机科学 2023-10-26 Tsai Hor Chan , Kin Wai Lau , Jiajun Shen , Guosheng Yin , Lequan Yu

Most machine learning methods are used as a black box for modelling. We may try to extract some knowledge from physics-based training methods, such as neural ODE (ordinary differential equation). Neural ODE has advantages like a possibly…

机器学习 · 计算机科学 2022-06-08 Yakov Golovanev , Alexander Hvatov

Causal inference is capable of estimating the treatment effect (i.e., the causal effect of treatment on the outcome) to benefit the decision making in various domains. One fundamental challenge in this research is that the treatment…

机器学习 · 计算机科学 2021-12-28 Qian Li , Zhichao Wang , Shaowu Liu , Gang Li , Guandong Xu