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Time series analysis is used to understand and predict dynamic processes, including evolving demands in business, weather, markets, and biological rhythms. Exponential smoothing is used in all these domains to obtain simple interpretable…

Machine Learning · Statistics 2017-10-02 Avner Abrami , Aleksandr Y. Aravkin , Younghun Kim

In order to reach the sensitivity required to detect gravitational waves, pulsar timing array experiments need to mitigate as much noise as possible in timing data. A dominant amount of noise is likely due to variations in the dispersion…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 K. J. Lee , C. G. Bassa , G. H. Janssen , R. Karuppusamy , M. Kramer , K. Liu , D. Perrodin , R. Smits , B. W. Stappers , R. van Haasteren , L. Lentati

Given the growing environmental challenges, accurate monitoring and prediction of changes in water bodies are essential for sustainable management and conservation. The Continuous Monitoring of Land Disturbance (COLD) algorithm provides a…

Machine Learning · Computer Science 2025-04-07 Huong Pham , Samuel Cheng , Tao Hu , Chengbin Deng

In this paper, we argue that iterative computation with diffusion models offers a powerful paradigm for not only generation but also visual perception tasks. We unify tasks such as depth estimation, optical flow, and amodal segmentation…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Rahul Ravishankar , Zeeshan Patel , Jathushan Rajasegaran , Jitendra Malik

Diffusion-a measure of dynamics, and entropy-a measure of disorder in the system, are found to be intimately correlated in many systems, and the correlation is often strongly non-linear. We explore the origin of this complex dependence by…

Soft Condensed Matter · Physics 2015-12-09 Kazuhiko Seki , Biman Bagchi

We report a molecular dynamics simulation investigating the dynamics of a simple liquid in the proximity to a non-interacting smooth confining wall. A strong enhancement of the liquid diffusion is observed within the layers adjacent to the…

Materials Science · Physics 2024-12-06 Lorenzo Agosta , Mikhail Dzugutov , Wim Briels , Kersti Hermansson

Real-world deployment of machine learning models is challenging because data evolves over time. While no model can work when data evolves in an arbitrary fashion, if there is some pattern to these changes, we might be able to design methods…

Machine Learning · Computer Science 2024-05-03 Rasool Fakoor , Jonas Mueller , Zachary C. Lipton , Pratik Chaudhari , Alexander J. Smola

The scaling invariance for chaotic orbits near a transition from unlimited to limited diffusion in a dissipative standard mapping is explained via the analytical solution of the diffusion equation. It gives the probability of observing a…

Chaotic Dynamics · Physics 2020-12-02 Edson D. Leonel , Celia Mayumi Kuwana , Makoto Yoshida , Juliano Antonio de Oliveira

In this work, we propose a novel framework for estimating the dimension of the data manifold using a trained diffusion model. A diffusion model approximates the score function i.e. the gradient of the log density of a noise-corrupted…

Machine Learning · Computer Science 2023-05-26 Jan Stanczuk , Georgios Batzolis , Teo Deveney , Carola-Bibiane Schönlieb

Denoising diffusion probabilistic models (DDPMs) are becoming the leading paradigm for generative models. It has recently shown breakthroughs in audio synthesis, time series imputation and forecasting. In this paper, we propose…

Machine Learning · Computer Science 2024-10-22 Xinyu Yuan , Yan Qiao

We propose an inference-time scaling approach for pretrained flow models. Recently, inference-time scaling has gained significant attention in LLMs and diffusion models, improving sample quality or better aligning outputs with user…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Jaihoon Kim , Taehoon Yoon , Jisung Hwang , Minhyuk Sung

Test-time adaptation aims to adapt to realistic environments in an online manner by learning during test time. Entropy minimization has emerged as a principal strategy for test-time adaptation due to its efficiency and adaptability.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Jisu Han , Jaemin Na , Wonjun Hwang

Deep learning-based diagnostic systems have demonstrated potential in skin disease diagnosis. However, their performance can easily degrade on test domains due to distribution shifts caused by input-level corruptions, such as imaging…

Image and Video Processing · Electrical Eng. & Systems 2024-05-21 Ming Hu , Siyuan Yan , Peng Xia , Feilong Tang , Wenxue Li , Peibo Duan , Lin Zhang , Zongyuan Ge

In this paper we consider parameter estimation for discretely observed diffusion processes. In particular, we focus on data that are observed at low frequency and methodology that can estimate parameters with uncertainty quantification.…

Computation · Statistics 2026-05-01 Jingning Yao , Ajay Jasra , Sheng Jiang

Classical search algorithms have long underpinned modern artificial intelligence. In this work, we tackle the challenge of inference-time control in diffusion models -- adapting generated outputs to meet diverse test-time objectives --…

Machine Learning · Computer Science 2025-10-07 Xiangcheng Zhang , Haowei Lin , Haotian Ye , James Zou , Jianzhu Ma , Yitao Liang , Yilun Du

We propose a new formulation of temporal action detection (TAD) with denoising diffusion, DiffTAD in short. Taking as input random temporal proposals, it can yield action proposals accurately given an untrimmed long video. This presents a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-17 Sauradip Nag , Xiatian Zhu , Jiankang Deng , Yi-Zhe Song , Tao Xiang

Permutation patterns-based approaches, such as permutation entropy (PerEn), have been widely and successfully used to analyze data. However, these methods have two main shortcomings. First, when a series is symbolized based on permutation…

Information Theory · Computer Science 2017-08-04 Hamed Azami , Javier Escudero

Diffusion models have emerged as highly effective techniques for inpainting, however, they remain constrained by slow sampling rates. While recent advances have enhanced generation quality, they have also increased sampling time, thereby…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Tsiry Mayet , Pourya Shamsolmoali , Simon Bernard , Eric Granger , Romain Hérault , Clement Chatelain

We have experimentally quantified the temporal structural diversity from the coordinate fluctuations of a laser beam propagating through isotropic optical turbulence. The main focus here is on the characterization of the long-range…

Statistical Mechanics · Physics 2017-10-25 Felipe Olivares , Luciano Zunino , Damián Gulich , Darío G. Pérez , Osvaldo A. Rosso

Motivated by entropic optimal transport, time reversal of diffusion processes is revisited. An integration by parts formula is derived for the carr\'e du champ of a Markov process in an abstract space. It leads to a time reversal formula…

Probability · Mathematics 2022-09-05 Patrick Cattiaux , Giovanni Conforti , Ivan Gentil , Christian Léonard