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We investigate model assessment and selection in a changing environment, by synthesizing datasets from both the current time period and historical epochs. To tackle unknown and potentially arbitrary temporal distribution shift, we develop…

Machine Learning · Computer Science 2024-06-05 Elise Han , Chengpiao Huang , Kaizheng Wang

In this paper, we propose and analyze a trust-region model-based algorithm for solving unconstrained stochastic optimization problems. Our framework utilizes random models of an objective function $f(x)$, obtained from stochastic…

Optimization and Control · Mathematics 2016-09-26 Ruobing Chen , Matt Menickelly , Katya Scheinberg

The stochastic interpolant framework offers a powerful approach for constructing generative models based on ordinary differential equations (ODEs) or stochastic differential equations (SDEs) to transform arbitrary data distributions.…

Machine Learning · Computer Science 2025-07-29 Yuhao Liu , Yu Chen , Rui Hu , Longbo Huang

Missing data is an universal problem in statistics. We develop a unified framework for estimating parameters defined by general estimating equations under a missing-at-random (MAR) mechanism, based on generalized entropy calibration…

Methodology · Statistics 2026-03-31 Mst Moushumi Pervin , Hengfang Wang , Jae Kwang Kim

The essential of navigation, perception, and decision-making which are basic tasks for intelligent robots, is to estimate necessary system states. Among them, navigation is fundamental for other upper applications, providing precise…

Robotics · Computer Science 2024-01-12 Feng Zhu , Zhuo Xu , Xveqing Zhang , Yuantai Zhang , Weijie Chen , Xiaohong Zhang

International comparisons of hierarchical time series data sets based on survey data, such as annual country-level estimates of school enrollment rates, can suffer from large amounts of missing data due to differing coverage of surveys…

Methodology · Statistics 2025-03-31 Daphne H. Liu , Adrian E. Raftery

Sequential models like recurrent neural networks and transformers have become standard for probabilistic multivariate time series forecasting across various domains. Despite their strengths, they struggle with capturing high-dimensional…

Machine Learning · Computer Science 2024-10-07 Yu Chen , Marin Biloš , Sarthak Mittal , Wei Deng , Kashif Rasul , Anderson Schneider

The success of many computer vision tasks lies in the ability to exploit the interdependency between different image modalities such as intensity and depth. Fusing corresponding information can be achieved on several levels, and one…

Computer Vision and Pattern Recognition · Computer Science 2014-06-26 Martin Kiechle , Tim Habigt , Simon Hawe , Martin Kleinsteuber

This paper studies theory and inference related to a class of time series models that incorporates nonlinear dynamics. It is assumed that the observations follow a one-parameter exponential family of distributions given an accompanying…

Statistics Theory · Mathematics 2012-04-19 Richard A. Davis , Heng Liu

Consider a time series with missing observations but a known final point. Using control theory ideas we estimate/predict these missing observations. We obtain recurrence equations which minimize sum of squares of a control sequence. An…

Statistics Theory · Mathematics 2011-11-09 Vyacheslav M. Abramov , Fima C. Klebaner

Regression with sparse inputs is a common theme for large scale models. Optimizing the underlying linear algebra for sparse inputs allows such models to be estimated faster. At the same time, centering the inputs has benefits in improving…

Computation · Statistics 2019-10-30 Jeffrey Wong

Data imbalance is common in production data, where controlled production settings require data to fall within a narrow range of variation and data are collected with quality assessment in mind, rather than data analytic insights. This…

Machine Learning · Statistics 2021-12-17 Rune D. Kjærsgaard , Manja G. Grønberg , Line K. H. Clemmensen

We propose a framework for learning maps between probability distributions that broadly generalizes the time dynamics of flow and diffusion models. To enable this, we generalize stochastic interpolants by replacing the scalar time variable…

Machine Learning · Computer Science 2026-02-26 Hugo Negrel , Florentin Coeurdoux , Michael S. Albergo , Eric Vanden-Eijnden

Pattern-mixture models provide a transparent approach for handling missing data, where the full-data distribution is factorized in a way that explicitly shows the parts that can be estimated from observed data alone, and the parts that…

Methodology · Statistics 2019-04-26 Yen-Chi Chen , Mauricio Sadinle

Joint models of longitudinal and event-time data have been extensively studied and applied in many different fields. Estimation of joint models is challenging, most present procedures are computational expensive and have a strict…

Methodology · Statistics 2018-09-05 Yanqiao Zheng , Xiaobing Zhao , Xiaoqi Zhang

Medical time series are often irregular and face significant missingness, posing challenges for data analysis and clinical decision-making. Existing methods typically adopt a single modeling perspective, either treating series data as…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Liuqing Chen , Shuhong Xiao , Shixian Ding , Shanhai Hu , Lingyun Sun

In this paper we study the problem of inferring the initial conditions of a dynamical system under incomplete information. Studying several model systems, we infer the latent microstates that best reproduce an observed time series when the…

Dynamical Systems · Mathematics 2022-04-04 Blas Kolic , Juan Sabuco , J. Doyne Farmer

Experimental and observational studies often lack validity due to untestable assumptions. We propose a double machine learning approach to combine experimental and observational studies, allowing practitioners to test for assumption…

High-resolution estimates of population health indicators are critical for precision public health. We propose a method for high-resolution estimation that fuses distinct data sources: an unbiased, low-resolution data source (e.g.…

Methodology · Statistics 2025-08-21 Amy Guan , Marissa Reitsma , Roshni Sahoo , Joshua Salomon , Stefan Wager

Class imbalance and distributional differences in large datasets present significant challenges for classification tasks machine learning, often leading to biased models and poor predictive performance for minority classes. This work…

Machine Learning · Statistics 2024-12-20 Alex Mak , Shubham Sahoo , Shivani Pandey , Yidan Yue , Linglong Kong