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We propose a new marginal data density estimator (MDDE) that uses the variational Bayes posterior density as a weighting density of the reciprocal importance sampling (RIS) MDDE. This computationally convenient estimator is based on…

Applications · Statistics 2020-05-12 Gholamreza Hajargasht , Tomasz Woźniak

Fueled by the call for formative assessments, diagnostic classification models (DCMs) have recently gained popularity in psychometrics. Despite their potential for providing diagnostic information that aids in classroom instruction and…

Computation · Statistics 2022-08-26 Motonori Oka , Kensuke Okada

In this paper we derive the asymptotic properties of the least squares estimator (LSE) of fractionally integrated autoregressive moving-average (FARIMA) models under the assumption that the errors are uncorrelated but not necessarily…

Applications · Statistics 2021-03-19 Yacouba Boubacar Maïnassara , Youssef Esstafa , Bruno Saussereau

We propose algorithms for addressing the bias of the posterior mean when used as an estimator of parameters. These algorithms build upon the recently proposed Bayesian infinitesimal jackknife approximation (Giordano and Broderick (2023))…

Methodology · Statistics 2024-09-06 Yukito Iba

We consider the problem of estimating a random state vector when there is information about the maximum distances between its subvectors. The estimation problem is posed in a Bayesian framework in which the minimum mean square error (MMSE)…

Statistics Theory · Mathematics 2012-10-30 Dave Zachariah , Isaac Skog , Magnus Jansson , Peter Händel

In this paper, we study the low-rank matrix completion problem, a class of machine learning problems, that aims at the prediction of missing entries in a partially observed matrix. Such problems appear in several challenging applications…

Machine Learning · Statistics 2023-09-04 The Tien Mai

The MM principle is a device for creating optimization algorithms satisfying the ascent or descent property. The current survey emphasizes the role of the MM principle in nonlinear programming. For smooth functions, one can construct an…

Optimization and Control · Mathematics 2015-07-29 Kenneth Lange , Kevin L. Keys

We consider the linear regression problem of estimating an unknown, deterministic parameter vector based on measurements corrupted by colored Gaussian noise. We present and analyze blind minimax estimators (BMEs), which consist of a bounded…

Statistics Theory · Mathematics 2007-09-26 Zvika Ben-Haim , Yonina C. Eldar

A modified Deep BSDE (backward differential equation) learning method with measurability loss, called Deep BSDE-ML method, is introduced in this paper to solve a kind of linear decoupled forward-backward stochastic differential equations…

Optimization and Control · Mathematics 2022-01-06 Yutian Wang , Yuan-Hua Ni

An important step in a multi-sensor surveillance system is to estimate sensor biases from their noisy asynchronous measurements. This estimation problem is computationally challenging due to the highly nonlinear transformation between the…

Information Theory · Computer Science 2018-05-21 Wenqiang Pu , Ya-Feng Liu , Junkun Yan , Hongwei Liu , Zhi-Quan Luo

This paper focuses on the minimum mean squared error (MMSE) channel estimator for multiple-input multiple-output (MIMO) systems with one-bit quantization at the receiver side. Despite its optimality and significance in estimation theory,…

Information Theory · Computer Science 2025-01-23 Minhua Ding , Italo Atzeni , Antti Tölli , A. Lee Swindlehurst

In this paper, we investigate the asymptotic properties of Le Cam's one-step estimator for weak Fractionally AutoRegressive Integrated Moving-Average (FARIMA) models. For these models, noises are uncorrelated but neither necessarily…

Statistics Theory · Mathematics 2022-06-22 Samir Ben Hariz , Alexandre Brouste , Youssef Esstafa , Marius Soltane

A new modification of the minimum-contrast estimator (the weighted MCE) of drift parameter in a linear stochastic evolution equation with additive fractional noise is introduced in the setting of the spectral approach (Fourier coordinates…

Probability · Mathematics 2019-09-30 Pavel Kriz

The distributed biased min-consensus (DBMC) protocol is an iterative scheme that solves the shortest path problem asymptotically, requiring only local information exchange between neighboring nodes. By appropriately designing the gain…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Zicheng Huang , Wangzhi Zhou , Yuanqiu Mo

This paper focuses on recursive estimation of time varying autoregressive processes in a nonparametric setting. The stability of the model is revisited and uniform results are provided when the time-varying autoregressive parameters belong…

Statistics Theory · Mathematics 2007-06-13 Eric Moulines , Pierre Priouret , François Roueff

This paper develops a difference-in-differences (DiD) estimation method that selects the optimal length of pre-trends by minimizing the mean squared error (MSE). Conventional DiD regression models, such as the two-way fixed effects model or…

Econometrics · Economics 2026-05-07 Yamato Igarashi

In conventional 2D DCE-US, motion correction algorithms take advantage of accompanying side-by-side anatomical Bmode images that contain time-stable features. However, current commercial models of 3D DCE-US do not provide side-by-side Bmode…

Image and Video Processing · Electrical Eng. & Systems 2020-10-06 Jia-Shu Chen , Maged Goubran Ph. D. , Gaeun Kim , Jurgen K. Willmann M. D. , Michael Zeineh M. D. , Ph. D. , Dimitre Hristov Ph. D. , Ahmed El Kaffas Ph. D

INTRODUCTION: Mild cognitive impairment (MCI) is characterized by a decline in cognitive functions beyond typical age and education-related expectations. Since, MCI has been linked to reduced social interactions and increased aimless…

Artificial Intelligence · Computer Science 2024-08-21 Chaitra Hegde , Yashar Kiarashi , Allan I Levey , Amy D Rodriguez , Hyeokhyen Kwon , Gari D Clifford

This paper studies the error metric selection for long-term memory learning in sequence modelling. We examine the bias towards short-term memory in commonly used errors, including mean absolute/squared error. Our findings show that all…

Machine Learning · Computer Science 2023-07-24 Shida Wang , Zhanglu Yan

In forecasting problems it is important to know whether or not recent events represent a regime change (low long-term predictive potential), or rather a local manifestation of longer term effects (potentially higher predictive potential).…

Methodology · Statistics 2014-07-09 Timothy Graves , Robert B. Gramacy , Christian Franzke , Nicholas Watkins