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Dynamical systems governed by ordinary differential equations (ODEs) serve as models for a vast number of natural and social phenomena. In this work, we offer a fresh perspective on the classical problem of imputing missing time series…

机器学习 · 计算机科学 2025-03-17 Patrick Seifner , Kostadin Cvejoski , Antonia Körner , Ramsés J. Sánchez

Lasso problems arise in many areas, including signal processing, machine learning, and control, and are closely connected to sparse coding mechanisms observed in neuroscience. A continuous-time ordinary differential equation (ODE)…

To model time series accurately is important within a wide range of fields. As the world is generally too complex to be modelled exactly, it is often meaningful to assess the probability of a dynamical system to be in a specific state. This…

机器学习 · 计算机科学 2023-03-16 Mari Dahl Eggen , Alise Danielle Midtfjord

Model-free reinforcement learning (RL) is a powerful, general tool for learning complex behaviors. However, its sample efficiency is often impractically large for solving challenging real-world problems, even with off-policy algorithms such…

机器学习 · 计算机科学 2020-02-25 Vitchyr Pong , Shixiang Gu , Murtaza Dalal , Sergey Levine

Stochastic differential equations (SDEs) describe dynamical systems where deterministic flows, governed by a drift function, are superimposed with random fluctuations, dictated by a diffusion function. The accurate estimation (or discovery)…

机器学习 · 计算机科学 2025-10-22 Patrick Seifner , Kostadin Cvejoski , David Berghaus , Cesar Ojeda , Ramses J. Sanchez

Simulation-based inference provides a powerful framework for extracting rich information from nonlinear scales in current and upcoming cosmological surveys, and ensuring its robustness requires stringent validation of forward models. In…

宇宙学与河外天体物理 · 物理学 2025-08-12 Kangning Diao , Biwei Dai , Uros Seljak

We present Latent Diffeomorphic Dynamic Mode Decomposition (LDDMD), a new data reduction approach for the analysis of non-linear systems that combines the interpretability of Dynamic Mode Decomposition (DMD) with the predictive power of…

机器学习 · 计算机科学 2025-08-04 Willem Diepeveen , Jon Schwenk , Andrea Bertozzi

Out-of-distribution (OOD) detection remains challenging for deep learning models, particularly when test-time OOD samples differ significantly from training outliers. We propose OODD, a novel test-time OOD detection method that dynamically…

计算机视觉与模式识别 · 计算机科学 2025-03-14 Yifeng Yang , Lin Zhu , Zewen Sun , Hengyu Liu , Qinying Gu , Nanyang Ye

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

Discrete diffusion models are a powerful class of generative models with strong performance across many domains. For efficiency, however, discrete diffusion typically parameterizes the generative (reverse) process with factorized…

机器学习 · 统计学 2026-05-19 Grigory Bartosh , Teodora Pandeva , Sushrut Karmalkar , Javier Zazo

Time-Series Forecasting based on Cumulative Data (TSFCD) is a crucial problem in decision-making across various industrial scenarios. However, existing time-series forecasting methods often overlook two important characteristics of…

机器学习 · 计算机科学 2023-09-26 Zhichao Chen , Leilei Ding , Zhixuan Chu , Yucheng Qi , Jianmin Huang , Hao Wang

Robots capable of learning from demonstration (LfD) must exhibit stability while executing learned motion skills. To be effective in the real world, they should also remember multiple skills over time -- a capability lacking in current…

Neural ordinary differential equations (ODEs) are widely recognized as the standard for modeling physical mechanisms, which help to perform approximate inference in unknown physical or biological environments. In partially observable (PO)…

机器学习 · 计算机科学 2023-10-31 Xuanle Zhao , Duzhen Zhang , Liyuan Han , Tielin Zhang , Bo Xu

Real-world time series data often present recurrent or repetitive patterns and it is often generated in real time, such as transportation passenger volume, network traffic, system resource consumption, energy usage, and human gait.…

机器学习 · 计算机科学 2021-05-05 Ming-Chang Lee , Jia-Chun Lin , Ernst Gunnar Gran

Deep generative models such as flow matching and diffusion models have shown great potential in learning complex distributions and dynamical systems, but often act as black-boxes, neglecting underlying physics. In contrast, physics-based…

机器学习 · 计算机科学 2026-04-28 Gurjeet Sangra Singh , Frantzeska Lavda , Giangiacomo Mercatali , Alexandros Kalousis

In many real-world regression tasks, the data distribution is heavily skewed, and models learn predominantly from abundant majority samples while failing to predict minority labels accurately. While imbalanced classification has been…

机器学习 · 计算机科学 2025-09-30 Shayan Alahyari

Discrete time spatial time series data arise routinely in meteorological and environmental studies. Inference and prediction associated with them are mostly carried out using any of the several variants of the linear state space model that…

统计方法学 · 统计学 2017-08-25 Suman Guha , Sourabh Bhattacharya

Time-series forecasting (TSF) finds broad applications in real-world scenarios. Due to the dynamic nature of time-series data, it is crucial to equip TSF models with out-of-distribution (OOD) generalization abilities, as historical training…

机器学习 · 计算机科学 2024-06-14 Haoxin Liu , Harshavardhan Kamarthi , Lingkai Kong , Zhiyuan Zhao , Chao Zhang , B. Aditya Prakash

I propose a novel framework that integrates stochastic differential equations (SDEs) with deep generative models to improve uncertainty quantification in machine learning applications involving structured and temporal data. This approach,…

机器学习 · 统计学 2026-01-09 James Rice

Model-based reinforcement learning (MBRL) approaches rely on discrete-time state transition models whereas physical systems and the vast majority of control tasks operate in continuous-time. To avoid time-discretization approximation of the…

机器学习 · 计算机科学 2021-06-14 Çağatay Yıldız , Markus Heinonen , Harri Lähdesmäki