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Data assimilation refers to the problem of finding trajectories of a prescribed dynamical model in such a way that the output of the model (usually some function of the model states) follows a given time series of observations. Typically…

Atmospheric and Oceanic Physics · Physics 2015-05-30 Jochen Bröcker , Ivan G. Szendro

In many prediction problems, we have extra information during training (for example, measurements that are expensive or slow to collect) that will not be available when the model is deployed. A common strategy is to first train a model that…

Machine Learning · Statistics 2026-05-25 Jiahao Shi , Omar Hagrass , Jason M. Klusowski

Conformal Prediction offers a powerful framework for quantifying uncertainty in machine learning models, enabling the construction of prediction sets with finite-sample validity guarantees. While easily adaptable to non-probabilistic…

Machine Learning · Statistics 2024-11-27 Eshant English , Christoph Lippert

Matrix-variate data of high dimensions are frequently observed in finance and economics, spanning extended time periods, such as the long-term data on international trade flows among numerous countries. To address potential structural…

Methodology · Statistics 2024-04-03 Bin Chen , Elynn Y. Chen , Stevenson Bolivar , Rong Chen

Flow Matching has recently emerged as a popular class of generative models for simulating a target distribution $\mu_1$ from samples drawn from a source distribution $\mu_0$. This framework relies on a fixed coupling between $\mu_0$ and…

Machine Learning · Computer Science 2026-05-12 Le-Tuyet-Nhi Pham , Giovanni Conforti , Zhenjie Ren , Alain Durmus

From CNNs to attention mechanisms, encoding inductive biases into neural networks has been a fruitful source of improvement in machine learning. Adding auxiliary losses to the main objective function is a general way of encoding biases that…

Machine Learning · Computer Science 2021-09-07 Ferran Alet , Maria Bauza , Kenji Kawaguchi , Nurullah Giray Kuru , Tomas Lozano-Perez , Leslie Pack Kaelbling

Missing time-series data is a prevalent practical problem. Imputation methods in time-series data often are applied to the full panel data with the purpose of training a model for a downstream out-of-sample task. For example, in finance,…

Machine Learning · Statistics 2023-04-13 Jose Blanchet , Fernando Hernandez , Viet Anh Nguyen , Markus Pelger , Xuhui Zhang

In this paper, we propose several models, which can realize synchronization of complex networks in finite time effectively. The results apply to heterogeneous dynamic networks, too. The mechanism of finite time convergence is revealed.…

Adaptation and Self-Organizing Systems · Physics 2021-03-03 Wenlian Lu , Xiwei Liu , Tianping Chen

Learning probabilistic surrogates for partial differential equations remains challenging in data-scarce regimes: neural operators require large amounts of high-fidelity data, while generative approaches typically sacrifice resolution…

Computation · Statistics 2025-12-18 Sahil Bhola , Karthik Duraisamy

Time series forecasting faces two important but often overlooked challenges. Firstly, the inherent random noise in the time series labels sets a theoretical lower bound for the forecasting error, which is positively correlated with the…

Machine Learning · Computer Science 2025-09-26 Tianyi Shi , Zhu Meng , Yue Chen , Siyang Zheng , Fei Su , Jin Huang , Changrui Ren , Zhicheng Zhao

It was recently shown by Motes, Gilchrist, Dowling & Rohde [PRL 113, 120501 (2014)] that a time-bin encoded fiber-loop architecture can implement an arbitrary passive linear optics transformation. This was shown in the case of an ideal…

Quantum Physics · Physics 2015-11-25 Keith R. Motes , Jonathan P. Dowling , Alexei Gilchrist , Peter P. Rohde

Data obtained from Flow Cytometry present pronounced variability due to biological and technical reasons. Biological variability is a well-known phenomenon produced by measurements on different individuals, with different characteristics…

Modelling and understanding time remains a challenge in contemporary video understanding models. With language emerging as a key driver towards powerful generalization, it is imperative for foundational video-language models to have a sense…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Piyush Bagad , Makarand Tapaswi , Cees G. M. Snoek

Time series data are often obtained only within a limited time range due to interruptions during observation process. To classify such partial time series, we need to account for 1) the variable-length data drawn from 2) different…

Machine Learning · Computer Science 2022-07-14 Azusa Sawada , Taiki Miyagawa , Akinori F. Ebihara , Shoji Yachida , Toshinori Hosoi

This paper introduces a novel approach for modelling time-varying connectivity in neuroimaging data, focusing on the slow fluctuations in synaptic efficacy that mediate neuronal dynamics. Building on the framework of Dynamic Causal…

Neurons and Cognition · Quantitative Biology 2024-12-05 Johan Medrano , Karl J. Friston , Peter Zeidman

To maximize future rewards in this ever-changing world, animals must be able to discover the temporal structure of stimuli and then anticipate or act correctly at the right time. How the animals perceive, maintain, and use time intervals…

Neurons and Cognition · Quantitative Biology 2020-07-08 Zedong Bi , Changsong Zhou

Language models are prone to dataset biases, known as shortcuts and spurious correlations in data, which often result in performance drop on new data. We present a new debiasing framework called ``FairFlow'' that mitigates dataset biases by…

Machine Learning · Computer Science 2025-03-25 Jiali Cheng , Hadi Amiri

The promise of Rectified Flow rests on producing self-generated couplings whose trajectories are straight, or nearly so. In practice, trajectories generated by the base flow model can bend and intertwine, and the resulting coupling inherits…

Artificial Intelligence · Computer Science 2026-05-19 Yimeng Min , Carla P. Gomes

Irregularly sampled time series with missing values are often observed in multiple real-world applications such as healthcare, climate and astronomy. They pose a significant challenge to standard deep learning models that operate only on…

Machine Learning · Computer Science 2024-10-04 Christian Klötergens , Vijaya Krishna Yalavarthi , Maximilian Stubbemann , Lars Schmidt-Thieme

Deterministic hydrological models with uncertain, but inferred-to-be-time-invariant parameters typically show time-dependent model structural errors. Such errors can occur if a hydrological process is active in certain time periods in…

Methodology · Statistics 2022-03-09 Han-Fang Hsueh , Anneli Guthke , Thomas Wöhling , Wolfgang Nowak