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We present a latent diffusion-based differentiable inversion method (LD-DIM) for PDE-constrained inverse problems involving high-dimensional spatially distributed coefficients. LD-DIM couples a pretrained latent diffusion prior with an…

Numerical Analysis · Mathematics 2025-12-30 Zihan Lin , QiZhi He

Relevant events in a three state illness-death model (IDM) of a chronic disease are the diagnosis of the disease and death with or without the disease. In this article a simulation framework for populations moving in the IDM is presented.…

Populations and Evolution · Quantitative Biology 2013-01-01 Ralph Brinks

Time series imputation models have traditionally been developed using complete datasets with artificial masking patterns to simulate missing values. However, in real-world infrastructure monitoring, practitioners often encounter datasets…

Machine Learning · Computer Science 2025-06-26 Ryan Hildebrant , Rahul Bhope , Sharad Mehrotra , Christopher Tull , Nalini Venkatasubramanian

For model-based estimation methods, the modeling that is as close to reality as possible makes a vital estimation result. In simple applications, it is sufficient to model a system with a single state space model. However, there are…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Sebastian Dingler

Difference-in-differences (DID) is one of the most widely used causal inference frameworks in observational studies. However, most existing DID methods are designed for binary treatments and cannot be readily applied to non-binary treatment…

Methodology · Statistics 2025-12-01 Siyu Heng , Yuan Huang , Hyunseung Kang

Single index models provide an effective dimension reduction tool in regression, especially for high dimensional data, by projecting a general multivariate predictor onto a direction vector. We propose a novel single-index model for…

Methodology · Statistics 2023-07-13 Satarupa Bhattacharjee , Hans-Georg Müller

Recent advances in denoising diffusion probabilistic models have shown great success in image synthesis tasks. While there are already works exploring the potential of this powerful tool in image semantic segmentation, its application in…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Xinrong Hu , Yu-Jen Chen , Tsung-Yi Ho , Yiyu Shi

Probabilistic modeling is cyclical: we specify a model, infer its posterior, and evaluate its performance. Evaluation drives the cycle, as we revise our model based on how it performs. This requires a metric. Traditionally, predictive…

Machine Learning · Statistics 2016-05-25 Alp Kucukelbir , David M. Blei

This paper discusses difference-in-differences (DID) estimation when there exist many control variables, potentially more than the sample size. In this case, traditional estimation methods, which require a limited number of variables, do…

General Economics · Economics 2019-01-09 Neng-Chieh Chang

Infectious disease models can be of great use for understanding the underlying mechanisms that influence the spread of diseases and predicting future disease progression. Modeling has been increasingly used to evaluate the potential impact…

Applications · Statistics 2019-08-20 Md Mahsin , Rob Deardon , Patrick Brown

This paper addresses the task of modeling severity losses using segmentation when the data distribution does not fall into the usual regression frameworks. This situation is not uncommon in lines of business such as third-party liability…

Applications · Statistics 2021-11-29 Martin Bladt

The SIR model with spatially inhomogeneous infection rate is studied with numerical simulations in one, two, and three dimensions, considering the case that the infection spreads inhomogeneously in densely populated regions or hot spots. We…

Medical Physics · Physics 2020-12-25 Hidetsugu Sakaguchi , Yuta Nakao

Scoring systems are linear classification models that only require users to add, subtract and multiply a few small numbers in order to make a prediction. These models are in widespread use by the medical community, but are difficult to…

Machine Learning · Statistics 2017-11-07 Berk Ustun , Cynthia Rudin

Evaluating platform-level interventions in search-based two-sided marketplaces is fundamentally challenged by systemic effects such as spillovers and network interference. While widely used for causal inference, the PSM (Propensity Score…

Artificial Intelligence · Computer Science 2025-11-04 Ying Song , Yijing Wang , Hui Yang , Weihan Jin , Jun Xiong , Congyi Zhou , Jialin Zhu , Xiang Gao , Rong Chen , HuaGuang Deng , Ying Dai , Fei Xiao , Haihong Tang , Bo Zheng , KaiFu Zhang

Estimation mainly for two classes of popular models, single-index and partially linear single-index models, is studied in this paper. Such models feature nonstationarity. Orthogonal series expansion is used to approximate the unknown…

Statistics Theory · Mathematics 2016-01-25 Chaohua Dong , Jiti Gao , Dag Tjøstheim

A Multiregression Dynamic Model (MDM) is a class of multivariate time series that represents various dynamic causal processes in a graphical way. One of the advantages of this class is that, in contrast to many other Dynamic Bayesian…

Methodology · Statistics 2015-05-27 Lilia Costa , Jim Smith , Thomas Nichols , James Cussens , Eugene P. Duff , Tamar R. Makin

In machine learning and data mining, linear models have been widely used to model the response as parametric linear functions of the predictors. To relax such stringent assumptions made by parametric linear models, additive models consider…

Machine Learning · Statistics 2017-10-18 Sheng Chen , Arindam Banerjee

Predicting counterfactual outcomes in longitudinal data, where sequential treatment decisions heavily depend on evolving patient states, is critical yet notoriously challenging due to complex time-dependent confounding and inadequate…

Machine Learning · Statistics 2026-04-15 Farbod Alinezhad , Jianfei Cao , Gary J. Young , Brady Post

Distribution matching (DM) is a versatile domain-invariant representation learning technique that has been applied to tasks such as fair classification, domain adaptation, and domain translation. Non-parametric DM methods struggle with…

Machine Learning · Computer Science 2025-06-18 Ziyu Gong , Jim Lim , David I. Inouye

Linear regression is a fundamental and popular statistical method. There are various kinds of linear regression, such as mean regression and quantile regression. In this paper, we propose a new one called distribution regression, which…

Methodology · Statistics 2017-12-27 Xin Chen , Xuejun Ma , Wang Zhou
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