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Zou [J. Amer. Statist. Assoc. 101 (2006) 1418-1429] proposed the Adaptive LASSO (ALASSO) method for simultaneous variable selection and estimation of the regression parameters, and established its oracle property. In this paper, we…

Statistics Theory · Mathematics 2013-07-09 A. Chatterjee , S. N. Lahiri

Conformal regression provides finite-sample marginal coverage, but it does not by itself determine how interval width should adapt across heterogeneous inputs. Existing locally adaptive methods mainly account for aleatoric noise, leaving…

Machine Learning · Computer Science 2026-05-06 Dongseok Kim , Hyoungsun Choi , Mohamed Jismy Aashik Rasool , Gisung Oh

The problem of test of fit for Vector AutoRegressive (VAR) processes with unconditionally heteroscedastic errors is studied. The volatility structure is deterministic but time-varying and allows for changes that are commonly observed in…

Methodology · Statistics 2015-03-19 Valentin Patilea , Hamdi Raïssi

Precision matrix, which is the inverse of covariance matrix, plays an important role in statistics, as it captures the partial correlation between variables. Testing the equality of two precision matrices in high dimensional setting is a…

Methodology · Statistics 2018-10-23 Mingjuan Zhang , Yong He , Cheng Zhou , Xinsheng Zhang

In this paper an autoregressive time series model with conditional heteroscedasticity is considered, where both conditional mean and conditional variance function are modeled nonparametrically. A test for the model assumption of…

Statistics Theory · Mathematics 2016-10-12 Marie Hušková , Natalie Neumeyer , Tobias Niebuhr , Leonie Selk

This paper investigates the accuracy of bootstrap-based bias correction of persistence measures for long memory fractionally integrated processes. The bootstrap method is based on the semi-parametric sieve approach, with the dynamics in the…

Methodology · Statistics 2016-03-08 Simone D. Grose , Gael M. Martin , Donald S. Poskitt

Partial Label Learning (PLL) aims to learn from the data where each training instance is associated with a set of candidate labels, among which only one is correct. Most existing methods deal with such problem by either treating each…

Machine Learning · Computer Science 2019-06-04 Gengyu Lyu , Songhe Feng , Yi Jin , Guojun Dai , Congyan Lang , Yidong Li

The statistical regression technique is an extraordinarily essential data fitting tool to explore the potential possible generation mechanism of the random phenomenon. Therefore, the model selection or the variable selection is becoming…

Methodology · Statistics 2020-03-25 Yue Su , Patrick Kandege Mwanakatwe

In multitemporal InSAR, phase linking (PL) refers to the estimation of a single-reference interferometric phase history for distributed scatterers (DS) from the information contained in the sample coherence matrix. Because the phase…

Signal Processing · Electrical Eng. & Systems 2026-04-22 Magnus Heimpel , Irena Hajnsek , Othmar Frey

We develop a new statistical model to analyse time-varying ranking data. The model can be used with a large number of ranked items, accommodates exogenous time-varying covariates and partial rankings, and is estimated via the maximum…

Methodology · Statistics 2022-11-23 Vladimír Holý , Jan Zouhar

Weak-identification-robust tests for instrumental variable (IV) regressions are typically developed separately depending on whether the number of IVs is treated as fixed or increasing with the sample size, forcing researchers to make a…

Econometrics · Economics 2025-10-01 Dennis Lim , Wenjie Wang , Yichong Zhang

The bootstrap resampling method has been popular for performing significance analysis on word error rate (WER) in automatic speech recognition (ASR) evaluation. To deal with dependent speech data, the blockwise bootstrap approach is also…

Audio and Speech Processing · Electrical Eng. & Systems 2022-10-11 Zhe Liu , Fuchun Peng

Large scale image classification datasets often contain noisy labels. We take a principled probabilistic approach to modelling input-dependent, also known as heteroscedastic, label noise in these datasets. We place a multivariate Normal…

Machine Learning · Computer Science 2021-05-24 Mark Collier , Basil Mustafa , Efi Kokiopoulou , Rodolphe Jenatton , Jesse Berent

We propose a pseudo-structural framework for analyzing contemporaneous co-movements in reduced-rank matrix autoregressive (RRMAR) models. Unlike conventional vector-autoregressive (VAR) models that would discard the matrix structure, our…

Econometrics · Economics 2025-09-25 Alain Hecq , Ivan Ricardo , Ines Wilms

Spatial regression models have a variety of applications in several fields ranging from economics to public health. Typically, it is of interest to select important exogenous predictors of the spatially autocorrelated response variable. In…

Methodology · Statistics 2025-10-31 Sagar Pandhare , Divya Kappara , Siuli Mukhopadhyay

We propose a simple modification to the wild bootstrap procedure and establish its asymptotic validity for linear regression models with many covariates and heteroskedastic errors. Monte Carlo simulations show that the modified wild…

Econometrics · Economics 2025-06-27 Wenze Li

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

Machine Learning · Computer Science 2021-08-13 Benjamin Gravell , Tyler Summers

We propose a Bayesian vector autoregressive (VAR) model for mixed-frequency data. Our model is based on the mean-adjusted parametrization of the VAR and allows for an explicit prior on the 'steady states' (unconditional means) of the…

Econometrics · Economics 2019-11-22 Sebastian Ankargren , Måns Unosson , Yukai Yang

We consider the problem of testing for long-range dependence in time-varying coefficient regression models, where the covariates and errors are locally stationary, allowing complex temporal dynamics and heteroscedasticity. We develop KPSS,…

Statistics Theory · Mathematics 2023-03-10 Lujia Bai , Weichi Wu

We consider the estimation of the transition matrix in the high-dimensional time-varying vector autoregression (TV-VAR) models. Our model builds on a general class of locally stationary VAR processes that evolve smoothly in time. We propose…

Statistics Theory · Mathematics 2017-10-03 Xin Ding , Ziyi Qiu , Xiaohui Chen