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Related papers: Robust time series generation via Schr\"odinger Br…

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We propose a procedure for estimating the Schr\"odinger bridge between two probability distributions. Unlike existing approaches, our method does not require iteratively simulating forward and backward diffusions or training neural networks…

Machine Learning · Statistics 2024-08-22 Aram-Alexandre Pooladian , Jonathan Niles-Weed

Modern real-time systems require accurate characterization of task timing behavior to ensure predictable performance, particularly on complex hardware architectures. Existing methods, such as worst-case execution time analysis, often fail…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Georgiy A. Bondar , Abigail Eisenklam , Yifan Cai , Robert Gifford , Tushar Sial , Linh Thi Xuan Phan , Abhishek Halder

The Schr\"{o}dinger Bridge Problem (SBP), which can be understood as an entropy-regularized optimal transport, seeks to compute stochastic dynamic mappings connecting two given distributions. SBP has shown significant theoretical importance…

Optimization and Control · Mathematics 2025-03-25 Yang Jing , Lei Li , Jingtong Zhang

Non-stationarity poses significant challenges for multivariate time series forecasting due to the inherent short-term fluctuations and long-term trends that can lead to spurious regressions or obscure essential long-term relationships. Most…

Machine Learning · Computer Science 2025-05-16 Peiyuan Liu , Beiliang Wu , Yifan Hu , Naiqi Li , Tao Dai , Jigang Bao , Shu-tao Xia

The availability of large datasets is crucial for the development of new power system applications and tools; unfortunately, very few are publicly and freely available. We designed an end-to-end generative framework for the creation of…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Andrea Pinceti , Lalitha Sankar , Oliver Kosut

Recent advancements in optimization-based text-to-3D generation heavily rely on distilling knowledge from pre-trained text-to-image diffusion models using techniques like Score Distillation Sampling (SDS), which often introduce artifacts…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Ziying Li , Xuequan Lu , Xinkui Zhao , Guanjie Cheng , Shuiguang Deng , Jianwei Yin

Modeling the dynamics from sparsely time-resolved snapshot data is crucial for understanding complex cellular processes and behavior. Existing methods leverage optimal transport, Schr\"odinger bridge theory, or their variants to…

Machine Learning · Computer Science 2025-10-28 Zhenyi Zhang , Zihan Wang , Yuhao Sun , Tiejun Li , Peijie Zhou

For a fixed flow-based generative model under a small inference budget, sample quality can depend strongly on where the sampler spends its few function evaluations. Flow matching and Schr\"odinger bridges define probability paths, yet their…

Machine Learning · Computer Science 2026-05-18 Bruno Trentini , Dejan Stancevic , Michael M. Bronstein , Alexander Tong , Luca Ambrogioni

This short paper announces the main results of \cite{SBB2026}, where the Schr\"odinger--Bass Bridge (SBB) problem is introduced and studied in full generality. Here we provide a direct PDE derivation of the SBB system in dimension one,…

We consider the problem to identify the most likely flow in phase space, of (inertial) particles under stochastic forcing, that is in agreement with spatial (marginal) distributions that are specified at a set of points in time. The…

Optimization and Control · Mathematics 2019-02-25 Yongxin Chen , Giovanni Conforti , Tryphon T. Georgiou , Luigia Ripani

We present simulation-free score and flow matching ([SF]$^2$M), a simulation-free objective for inferring stochastic dynamics given unpaired samples drawn from arbitrary source and target distributions. Our method generalizes both the…

SDForger is a flexible and efficient framework for generating high-quality multivariate time series using LLMs. Leveraging a compact data representation, SDForger provides synthetic time series generation from a few samples and…

Computation and Language · Computer Science 2026-01-07 Cécile Rousseau , Tobia Boschi , Giandomenico Cornacchia , Dhaval Salwala , Alessandra Pascale , Juan Bernabe Moreno

We consider a Schr\"odinger bridge problem where the Markov process is subject to parameter perturbations, forming an ensemble of systems. Our objective is to steer this ensemble from the initial distribution to the final distribution using…

Optimization and Control · Mathematics 2024-12-05 Daniel Owusu Adu , Yongxin Chen

We study Diffusion Schr\"odinger Bridge (DSB) models in the context of dynamical astrophysical systems, specifically tackling observational inverse prediction tasks within Giant Molecular Clouds (GMCs) for star formation. We introduce the…

Instrumentation and Methods for Astrophysics · Physics 2025-11-13 Ye Zhu , Duo Xu , Zhiwei Deng , Jonathan C. Tan , Olga Russakovsky

Deep generative models have recently been employed for speech enhancement to generate perceptually valid clean speech on large-scale datasets. Several diffusion models have been proposed, and more recently, a tractable Schr\"odinger Bridge…

Sound · Computer Science 2025-06-03 Seungu Han , Sungho Lee , Juheon Lee , Kyogu Lee

We consider the problem of steering a linear stochastic system between two end-point degenerate Gaussian distributions in finite time. This accounts for those situations in which some but not all of the state entries are uncertain at the…

Optimization and Control · Mathematics 2020-06-18 Valentina Ciccone , Yongxin Chen , Tryphon T. Georgiou , Michele Pavon

Diffusion models have become the go-to method for large-scale generative models in real-world applications. These applications often involve data distributions confined within bounded domains, typically requiring ad-hoc thresholding…

Machine Learning · Statistics 2024-01-09 Wei Deng , Yu Chen , Nicole Tianjiao Yang , Hengrong Du , Qi Feng , Ricky T. Q. Chen

In contemporary data-driven environments, the generation and processing of multivariate time series data is an omnipresent challenge, often complicated by time delays between different time series. These delays, originating from a multitude…

Machine Learning · Computer Science 2024-08-26 Jiajie Wang , Zhiyuan Jerry Lin , Wen Chen

Temporally indexed data are essential in a wide range of fields and of interest to machine learning researchers. Time series data, however, are often scarce or highly sensitive, which precludes the sharing of data between researchers and…

Machine Learning · Computer Science 2024-07-10 Alexander Nikitin , Letizia Iannucci , Samuel Kaski

We present a theoretical framework that reinterprets Population Annealing (PA) through the lens of the discrete-time Schr\"odinger Bridge (SB) problem. We demonstrate that the heuristic reweighting step in PA is derived by analytically…

Statistical Mechanics · Physics 2026-03-18 Masayuki Ohzeki
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