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Although linear regression models are fundamental tools in statistical science, the estimation results can be sensitive to outliers. While several robust methods have been proposed in frequentist frameworks, statistical inference is not…

Methodology · Statistics 2020-07-15 Shintaro Hashimoto , Shonosuke Sugasawa

We formulate, and present a numerical method for solving, an inverse problem for inferring parameters of a deterministic model from stochastic observational data (quantities of interest). The solution, given as a probability measure, is…

Numerical Analysis · Mathematics 2021-05-04 T. Butler , J. D. Jakeman , T. Wildey

The problem of error density estimation for a functional single index model with dependent errors is studied. A Bayesian method is utilized to simultaneously estimate the bandwidths in the kernel-form error density and regression function,…

Applications · Statistics 2018-10-23 Han Lin Shang

The paper proposes a time-varying parameter global vector autoregressive (TVP-GVAR) framework for predicting and analysing developed region economic variables. We want to provide an easily accessible approach for the economy application…

Econometrics · Economics 2022-09-14 Yukang Jiang , Xueqin Wang , Zhixi Xiong , Haisheng Yang , Ting Tian

We develop a conformal inference method to construct a joint confidence region for a given group of missing entries within a sparsely observed matrix, focusing primarily on entries from the same column. Our method is model-agnostic and can…

Methodology · Statistics 2025-02-11 Ziyi Liang , Tianmin Xie , Xin Tong , Matteo Sesia

In many situations, data are recorded over a period of time and may be regarded as realizations of a stochastic process. In this paper, robust estimators for the principal components are considered by adapting the projection pursuit…

Statistics Theory · Mathematics 2012-03-12 Juan Lucas Bali , Graciela Boente , David E. Tyler , Jane-Ling Wang

Tackling pattern recognition problems in areas such as computer vision, bioinformatics, speech or text recognition is often done best by taking into account task-specific statistical relations between output variables. In structured…

Machine Learning · Statistics 2016-03-14 Rein Houthooft , Filip De Turck

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

Methodology · Statistics 2024-02-14 David Strieder , Mathias Drton

Quantiles and expected shortfalls are commonly used risk measures in financial risk management. The two measurements are correlated while have distinguished features. In this project, our primary goal is to develop stable and practical…

Methodology · Statistics 2022-08-24 Xiang Peng , Huixia Judy Wang

This paper is concerned with parameter identification problem for finite impulse response (FIR) systems with binary-valued observations under low computational complexity. Most of the existing algorithms under binary-valued observations…

Systems and Control · Electrical Eng. & Systems 2024-12-09 Tianning Han , Ying Wang , Yanlong Zhao

We consider inference from non-random samples in data-rich settings where high-dimensional auxiliary information is available both in the sample and the target population, with survey inference being a special case. We propose a regularized…

Methodology · Statistics 2021-04-13 Yutao Liu , Andrew Gelman , Qixuan Chen

Consider a quite arbitrary (semi)parametric model with a Euclidean parameter of interest and assume that an asymptotically (semi)parametrically efficient estimator of it is given. If the parameter of interest is known to lie on a general…

Statistics Theory · Mathematics 2015-08-17 Chris A. J. Klaassen , Nanang Susyanto

Structured embedding transformations offer a promising approach for enhancing the efficiency and coherence of language model inference. The introduction of Structural Embedding Projection (SEP) provides a mechanism for refining token…

Computation and Language · Computer Science 2025-08-11 Vincent Enoasmo , Cedric Featherstonehaugh , Xavier Konstantinopoulos , Zacharias Huntington

Structured prediction provides a general framework to deal with supervised problems where the outputs have semantically rich structure. While classical approaches consider finite, albeit potentially huge, output spaces, in this paper we…

Machine Learning · Statistics 2018-06-27 Alessandro Rudi , Carlo Ciliberto , Gian Maria Marconi , Lorenzo Rosasco

We propose a visualization method to understand the effect of multidimensional projection on local subspaces, using implicit function differentiation. Here, we understand the local subspace as the multidimensional local neighborhood of data…

Machine Learning · Computer Science 2023-07-21 Rongzheng Bian , Yumeng Xue , Liang Zhou , Jian Zhang , Baoquan Chen , Daniel Weiskopf , Yunhai Wang

In the context of having an instrumental variable, the standard practice in causal inference begins by targeting an effect of interest and proceeds by formulating assumptions enabling its identification. We turn this around by adhering to…

Statistics Theory · Mathematics 2026-05-25 Carlos García Meixide , Mark J. van der Laan

Prediction-powered inference is a recent methodology for the safe use of black-box ML models to impute missing data, strengthening inference of statistical parameters. However, many applications require strong properties besides valid…

In this paper we show that the classical problem of frequency estimation can be formulated and solved efficiently in an empirical Bayesian framework by assigning a uniform a priori probability distribution to the unknown frequency. We…

Signal Processing · Electrical Eng. & Systems 2020-10-27 Giorgio Picci , Bin Zhu

We introduce a Bayesian Gaussian process latent variable model that explicitly captures spatial correlations in data using a parameterized spatial kernel and leveraging structure-exploiting algebra on the model covariance matrices for…

Machine Learning · Statistics 2018-05-23 Steven Atkinson , Nicholas Zabaras

Neural networks are popular state-of-the-art models for many different tasks.They are often trained via back-propagation to find a value of the weights that correctly predicts the observed data. Although back-propagation has shown good…

Machine Learning · Statistics 2020-12-29 Simón Rodríguez Santana , Daniel Hernández-Lobato
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