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This paper deals with improvement of linear quantile regression, when there are a few distinct values of the covariates but many replicates. On can improve asymptotic efficiency of the estimated regression coefficients by using suitable…

应用统计 · 统计学 2020-11-30 Kaushik Jana , Debasis Sengupta

Recent advances in deep learning have achieved impressive gains in classification accuracy on a variety of types of data, including images and text. Despite these gains, however, concerns have been raised about the calibration, robustness,…

机器学习 · 计算机科学 2018-11-20 Dallas Card , Michael Zhang , Noah A. Smith

We propose modeling raw functional data as a mixture of a smooth function and a highdimensional factor component. The conventional approach to retrieving the smooth function from the raw data is through various smoothing techniques.…

统计方法学 · 统计学 2021-02-05 Yuan Gao , Han Lin Shang , Yanrong Yang

Consider the problem of estimating the local average treatment effect with an instrument variable, where the instrument unconfoundedness holds after adjusting for a set of measured covariates. Several unknown functions of the covariates…

统计方法学 · 统计学 2020-09-22 Baoluo Sun , Zhiqiang Tan

This paper studies model selection consistency for high dimensional sparse regression when data exhibits both cross-sectional and serial dependency. Most commonly-used model selection methods fail to consistently recover the true model when…

统计方法学 · 统计学 2018-09-12 Jianqing Fan , Yuan Ke , Kaizheng Wang

We discuss a new weighted likelihood method for parametric estimation. The method is motivated by the need for generating a simple estimation strategy which provides a robust solution that is simultaneously fully efficient when the model is…

统计方法学 · 统计学 2019-08-29 Suman Majumder , Adhidev Biswas , Tania Roy , Subir Kumar Bhandari , Ayanendranath Basu

Producing probabilistic forecasts for large collections of similar and/or dependent time series is a practically relevant and challenging task. Classical time series models fail to capture complex patterns in the data, and multivariate…

机器学习 · 统计学 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

Modern statistical analysis often encounters high-dimensional problems but with a limited sample size. It poses great challenges to traditional statistical estimation methods. In this work, we adopt auxiliary learning to solve the…

统计理论 · 数学 2025-01-08 Hanchao Yan , Feifei Wang , Chuanxin Xia , Hansheng Wang

In this paper, prediction for linear systems with missing information is investigated. New methods are introduced to improve the Mean Squared Error (MSE) on the test set in comparison to state-of-the-art methods, through appropriate tuning…

机器学习 · 统计学 2017-01-04 Mohammad Amin Fakharian , Ashkan Esmaeili , Farokh Marvasti

We consider change-point latent factor models for high-dimensional time series, where a structural break may exist in the underlying factor structure. In particular, we propose consistent estimators for factor loading spaces before and…

统计方法学 · 统计学 2019-07-24 Xialu Liu , Ting Zhang

High dimensional Vector Autoregressions (VAR) have received a lot of interest recently due to novel applications in health, engineering, finance and the social sciences. Three issues arise when analyzing VAR's: (a) The high dimensional…

统计理论 · 数学 2022-11-15 Sagnik Halder , George Michailidis

Collaboration between different data centers is often challenged by heterogeneity across sites. To account for the heterogeneity, the state-of-the-art method is to re-weight the covariate distributions in each site to match the distribution…

机器学习 · 统计学 2024-04-25 Tianyu Guo , Sai Praneeth Karimireddy , Michael I. Jordan

In this paper, we develop new statistical theory for probabilistic principal component analysis models in high dimensions. The focus is the estimation of the noise variance, which is an important and unresolved issue when the number of…

统计理论 · 数学 2014-06-23 Damien Passemier , Zhaoyuan Li , Jian-Feng Yao

Assessing sensitivity to unmeasured confounding is an important step in observational studies, which typically estimate effects under the assumption that all confounders are measured. In this paper, we develop a sensitivity analysis…

统计方法学 · 统计学 2023-09-04 Dan Soriano , Eli Ben-Michael , Peter J. Bickel , Avi Feller , Samuel D. Pimentel

The paper considers the problem of distributed adaptive linear parameter estimation in multi-agent inference networks. Local sensing model information is only partially available at the agents and inter-agent communication is assumed to be…

最优化与控制 · 数学 2012-08-07 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

This paper studies the inference of the regression coefficient matrix under multivariate response linear regressions in the presence of hidden variables. A novel procedure for constructing confidence intervals of entries of the coefficient…

统计方法学 · 统计学 2022-01-21 Xin Bing , Wei Cheng , Huijie Feng , Yang Ning

This paper introduces a straightforward sieve-based approach for estimating and conducting inference on regression parameters in panel data models with interactive fixed effects. The method's key assumption is that factor loadings can be…

计量经济学 · 经济学 2025-02-26 Georg Keilbar , Juan M. Rodriguez-Poo , Alexandra Soberon , Weining Wang

In multivariate time series, the estimation of the covariance matrix of the observation innovations plays an important role in forecasting as it enables the computation of the standardized forecast error vectors as well as it enables the…

统计方法学 · 统计学 2008-02-04 K. Triantafyllopoulos

Tensor time series, which is a time series consisting of tensorial observations, has become ubiquitous. It typically exhibits high dimensionality. One approach for dimension reduction is to use a factor model structure, in a form similar to…

统计方法学 · 统计学 2024-07-19 Yuefeng Han , Rong Chen , Dan Yang , Cun-Hui Zhang

Factor models are a very efficient way to describe high dimensional vectors of data in terms of a small number of common relevant factors. This problem, which is of fundamental importance in many disciplines, is usually reformulated in…

最优化与控制 · 数学 2018-06-13 Valentina Ciccone , Augusto Ferrante , Mattia Zorzi