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相关论文: Latent Space Energy-based Neural ODEs

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Methods based on ordinary differential equations (ODEs) are widely used to build generative models of time-series. In addition to high computational overhead due to explicitly computing hidden states recurrence, existing ODE-based models…

机器学习 · 统计学 2023-02-07 Linqi Zhou , Michael Poli , Winnie Xu , Stefano Massaroli , Stefano Ermon

The neural ordinary differential equation (ODE) framework has emerged as a powerful tool for developing accelerated surrogate models of complex physical systems governed by partial differential equations (PDEs). A popular approach for PDE…

流体动力学 · 物理学 2025-03-26 Ashish S. Nair , Shivam Barwey , Pinaki Pal , Jonathan F. MacArt , Troy Arcomano , Romit Maulik

We propose to learn energy-based model (EBM) in the latent space of a generator model, so that the EBM serves as a prior model that stands on the top-down network of the generator model. Both the latent space EBM and the top-down network…

机器学习 · 统计学 2020-10-30 Bo Pang , Tian Han , Erik Nijkamp , Song-Chun Zhu , Ying Nian Wu

Latent space Energy-Based Models (EBMs), also known as energy-based priors, have drawn growing interests in generative modeling. Fueled by its flexibility in the formulation and strong modeling power of the latent space, recent works built…

机器学习 · 计算机科学 2023-10-06 Peiyu Yu , Sirui Xie , Xiaojian Ma , Baoxiong Jia , Bo Pang , Ruiqi Gao , Yixin Zhu , Song-Chun Zhu , Ying Nian Wu

End-to-end learning of dynamical systems with black-box models, such as neural ordinary differential equations (ODEs), provides a flexible framework for learning dynamics from data without prescribing a mathematical model for the dynamics.…

机器学习 · 统计学 2022-06-20 Paidamoyo Chapfuwa , Sherri Rose , Lawrence Carin , Edward Meeds , Ricardo Henao

Numerical simulation of ordinary differential equations (ODEs) can be challenging when the system exhibits high accelerations and rapidly changing dynamics. Under these conditions the ODE solver often needs to take very small time steps in…

数值分析 · 数学 2026-05-11 Andrew Tagg , Andrew Frandsen , Andrew Ning

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 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

Fine-grained open-set recognition (FineOSR) aims to recognize images belonging to classes with subtle appearance differences while rejecting images of unknown classes. A recent trend in OSR shows the benefit of generative models to…

计算机视觉与模式识别 · 计算机科学 2023-10-31 Wentao Bao , Qi Yu , Yu Kong

Despite having been studied to a great extent, the task of conditional generation of sequences of frames, or videos, remains extremely challenging. It is a common belief that a key step towards solving this task resides in modelling…

计算机视觉与模式识别 · 计算机科学 2021-09-09 David Kanaa , Vikram Voleti , Samira Ebrahimi Kahou , Christopher Pal

We develop interacting particle algorithms for learning latent variable models with energy-based priors. To do so, we leverage recent developments in particle-based methods for solving maximum marginal likelihood estimation (MMLE) problems.…

机器学习 · 统计学 2025-10-15 Joanna Marks , Tim Y. J. Wang , O. Deniz Akyildiz

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

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

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

Discrete structures play an important role in applications like program language modeling and software engineering. Current approaches to predicting complex structures typically consider autoregressive models for their tractability, with…

机器学习 · 计算机科学 2020-11-12 Hanjun Dai , Rishabh Singh , Bo Dai , Charles Sutton , Dale Schuurmans

We study the problem of modeling a non-linear dynamical system when given a time series by deriving equations directly from the data. Despite the fact that time series data are given as input, models for dynamics and estimation algorithms…

机器学习 · 计算机科学 2025-04-16 Ren Fujiwara , Yasuko Matsubara , Yasushi Sakurai

Neural ODE Processes approach the problem of meta-learning for dynamics using a latent variable model, which permits a flexible aggregation of contextual information. This flexibility is inherited from the Neural Process framework and…

机器学习 · 计算机科学 2021-04-30 Ben Day , Alexander Norcliffe , Jacob Moss , Pietro Liò

We present two elegant solutions for modeling continuous-time dynamics, in a novel model-based reinforcement learning (RL) framework for semi-Markov decision processes (SMDPs), using neural ordinary differential equations (ODEs). Our models…

机器学习 · 计算机科学 2020-10-27 Jianzhun Du , Joseph Futoma , Finale Doshi-Velez

Ordinary differential equations (ODEs) can provide mechanistic models of temporally local changes of processes, where parameters are often informed by external knowledge. While ODEs are popular in systems modeling, they are less established…

统计方法学 · 统计学 2025-07-10 Maren Hackenberg , Astrid Pechmann , Clemens Kreutz , Janbernd Kirschner , Harald Binder

Discrete latent space models have recently achieved performance on par with their continuous counterparts in deep variational inference. While they still face various implementation challenges, these models offer the opportunity for a…

机器学习 · 统计学 2023-08-22 Max Cohen , Maurice Charbit , Sylvain Le Corff
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