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Empirical fixation densities, spatial distributions estimated from human eye-tracking data, are foundational to saliency benchmarking. They directly shape benchmark conclusions, leaderboard rankings, failure case analyses, and scientific…

Computer Vision and Pattern Recognition · Computer Science 2026-05-06 Susmit Agrawal , Jannis Hollman , Matthias Kümmerer

Estimation and inference of treatment effects under unconfounded treatment assignments often suffer from bias and the `curse of dimensionality' due to the nonparametric estimation of nuisance parameters for high-dimensional confounders.…

Methodology · Statistics 2025-07-08 Zeqi Wu , Meilin Wang , Wei Huang , Zheng Zhang

Panel data, in which multiple units are repeatedly observed over time, arise throughout science and engineering. Quantifying predictive uncertainty in such settings is challenging because conformal prediction, while distribution-free and…

Machine Learning · Statistics 2026-05-19 Daohong Tu , Kay Giesecke

This paper studies multivariate nonparametric change point localization and inference problems. The data consists of a multivariate time series with potentially short range dependence. The distribution of this data is assumed to be…

Statistics Theory · Mathematics 2023-01-30 Carlos Misael Madrid Padilla , Haotian Xu , Daren Wang , Oscar Hernan Madrid Padilla , Yi Yu

We propose a novel iterative algorithm for estimating a deterministic but unknown parameter vector in the presence of model uncertainties. This iterative algorithm is based on a system model where an overall noise term describes both, the…

Statistics Theory · Mathematics 2017-11-27 Oliver Lang , Michael Lunglmayr , Mario Huemer

Distribution estimation for noisy data via density deconvolution is a notoriously difficult problem for typical noise distributions like Gaussian. We develop a density deconvolution estimator based on quadratic programming (QP) that can…

Methodology · Statistics 2018-12-06 Ran Yang , Daniel Apley , Jeremy Staum , David Ruppert

Seismic data denoising is an important part of seismic data processing, which directly relate to the follow-up processing of seismic data. In terms of this issue, many authors proposed many methods based on rank reduction, sparse…

Geophysics · Physics 2024-08-27 Xueting Yang , Yong Li , Zhangquan Liao , Yingtian Liu , Junheng Peng

The fused lasso, also known as (anisotropic) total variation denoising, is widely used for piecewise constant signal estimation with respect to a given undirected graph. The fused lasso estimate is highly nontrivial to compute when the…

Statistics Theory · Mathematics 2018-08-01 Oscar Hernan Madrid Padilla , James G. Scott , James Sharpnack , Ryan J. Tibshirani

This paper considers the quantile regression model with both individual fixed effect and time period effect for general spatial panel data. Instrumental variable quantile regression estimators will be proposed. Asymptotic properties of the…

Methodology · Statistics 2016-08-08 Xiaowen Dai , Zhen Yan , Maozai Tian , Manlai Tang

Marginal structural models are a popular tool for investigating the effects of time-varying treatments, but they require an assumption of no unobserved confounders between the treatment and outcome. With observational data, this assumption…

Methodology · Statistics 2021-06-10 Matthew Blackwell , Soichiro Yamauchi

The problem of covariance estimation for replicated surface-valued processes is examined from the functional data analysis perspective. Considerations of statistical and computational efficiency often compel the use of separability of the…

Methodology · Statistics 2021-10-25 Tomas Masak , Victor M. Panaretos

Estimation of structure, such as in variable selection, graphical modelling or cluster analysis is notoriously difficult, especially for high-dimensional data. We introduce stability selection. It is based on subsampling in combination with…

Methodology · Statistics 2009-05-16 Nicolai Meinshausen , Peter Buehlmann

This paper studies identification of average treatment effects in a panel data setting. It introduces a novel nonparametric factor model and proves identification of average treatment effects. The identification proof is based on the…

Econometrics · Economics 2025-03-26 Susan Athey , Guido Imbens

We present the group fused Lasso for detection of multiple change-points shared by a set of co-occurring one-dimensional signals. Change-points are detected by approximating the original signals with a constraint on the multidimensional…

Quantitative Methods · Quantitative Biology 2011-06-23 Kevin Bleakley , Jean-Philippe Vert

We propose a robust inferential procedure for assessing uncertainties of parameter estimation in high-dimensional linear models, where the dimension $p$ can grow exponentially fast with the sample size $n$. Our method combines the…

Machine Learning · Statistics 2015-03-19 Tianqi Zhao , Mladen Kolar , Han Liu

Time-varying linear state-space models are powerful tools for obtaining mathematically interpretable representations of neural signals. For example, switching and decomposed models describe complex systems using latent variables that evolve…

A standard approach for assessing the performance of partition models is to create synthetic data sets with a prespecified clustering structure, and assess how well the model reveals this structure. A common format is that subjects are…

Methodology · Statistics 2025-07-08 Michail Papathomas

This paper considers identification and estimation of ceteris paribus effects of continuous regressors in nonseparable panel models with time homogeneity. The effects of interest are derivatives of the average and quantile structural…

The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

Methodology · Statistics 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li

We present a distributed (non-Bayesian) learning algorithm for the problem of parameter estimation with Gaussian noise. The algorithm is expressed as explicit updates on the parameters of the Gaussian beliefs (i.e. means and precision). We…

Optimization and Control · Mathematics 2016-12-08 Angelia Nedić , Alex Olshevsky , César A. Uribe
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