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Network estimation from multi-variate point process or time series data is a problem of fundamental importance. Prior work has focused on parametric approaches that require a known parametric model, which makes estimation procedures less…

机器学习 · 统计学 2021-06-30 Yue Gao , Garvesh Raskutti

Distribution shifts, where statistical properties differ between training and test datasets, present a significant challenge in real-world machine learning applications where they directly impact model generalization and robustness. In this…

机器学习 · 计算机科学 2024-05-06 Vegard Flovik

Classification is one of the main areas of pattern recognition research, and within it, Support Vector Machine (SVM) is one of the most popular methods outside of field of deep learning -- and a de-facto reference for many Machine Learning…

机器学习 · 计算机科学 2024-02-23 Michał Cholewa , Michał Romaszewski , Przemysław Głomb

In this paper, we propose a novel approach to detect heteroskedasticity in regression models with regressors contaminated by measurement error. Specifically, inspired by the integrated conditional moment (ICM) approach, we construct test…

计量经济学 · 经济学 2026-05-20 Xiaojun Song , Jichao Yuan

In this article we study in detail a family of random matrix ensembles which are obtained from random permutations matrices (chosen at random according to the Ewens measure of parameter $\theta>0$) by replacing the entries equal to one by…

概率论 · 数学 2010-05-05 Joseph Najnudel , Ashkan Nikeghbali

Finite-sample bias is a pervasive challenge in the estimation of structural equation models (SEMs), especially when sample sizes are small or measurement reliability is low. A range of methods have been proposed to improve finite-sample…

统计方法学 · 统计学 2026-03-30 Haziq Jamil , Yves Rosseel , Oliver Kemp , Ioannis Kosmidis

Kernel regression is a popular non-parametric fitting technique. It aims at learning a function which estimates the targets for test inputs as precise as possible. Generally, the function value for a test input is estimated by a weighted…

机器学习 · 计算机科学 2017-12-27 Rongqing Huang , Shiliang Sun

This paper presents a kernel-based discriminative learning framework on probability measures. Rather than relying on large collections of vectorial training examples, our framework learns using a collection of probability distributions that…

机器学习 · 统计学 2013-01-15 Krikamol Muandet , Kenji Fukumizu , Francesco Dinuzzo , Bernhard Schölkopf

We suggest specification tests for the error distribution in vector multiplicative error models (vMEM). The test statistic is formulated as a weighted integrated distance between the parametric estimator of the Laplace transform of the null…

统计方法学 · 统计学 2025-09-09 Šárka Hudecová , Simos G. Meintanis

The support vector machines (SVM) is a powerful classifier used for binary classification to improve the prediction accuracy. However, the non-differentiability of the SVM hinge loss function can lead to computational difficulties in high…

机器学习 · 统计学 2023-03-17 Rachid Kharoubi , Abdallah Mkhadri , Karim Oualkacha

Standard multiple testing procedures are designed to report a list of discoveries, or suspected false null hypotheses, given the hypotheses' p-values or test scores. Recently there has been a growing interest in enhancing such procedures by…

统计方法学 · 统计学 2025-10-29 Jack Freestone , William Stafford Noble , Uri Keich

Real-world robotics applications demand object pose estimation methods that work reliably across a variety of scenarios. Modern learning-based approaches require large labeled datasets and tend to perform poorly outside the training domain.…

计算机视觉与模式识别 · 计算机科学 2023-05-15 Jingnan Shi , Rajat Talak , Dominic Maggio , Luca Carlone

The Semi-Analytical Finite Element (SAFE) method is widely used for computing guided wave dispersion curves in waveguides of arbitrary cross-section. Accurate mode tracking across consecutive wavenumber steps remains challenging,…

数值分析 · 数学 2026-03-16 Dong Xiao , Zahra Sharif-Khodaei , M. H. Aliabadi

The realization of a standard Adaptive Finite Element Method (AFEM) preserves the mesh conformity by performing a completion step in the refinement loop: in addition to elements marked for refinement due to their contribution to the global…

数值分析 · 数学 2024-02-15 Claudio Canuto , Davide Fassino

We investigate the issue of model selection and the use of the nonconformity (strangeness) measure in batch learning. Using the nonconformity measure we propose a new training algorithm that helps avoid the need for Cross-Validation or…

机器学习 · 统计学 2009-09-15 David R. Hardoon , Zakria Hussain , John Shawe-Taylor

The EM procedure is a principal tool for parameter estimation in the hidden Markov models. However, applications replace EM by Viterbi extraction, or training (VT). VT is computationally less intensive, more stable and has more of an…

统计计算 · 统计学 2008-12-18 Jüri Lember , Alexey Koloydenko

Reliable estimation of feature contributions in machine learning models is essential for trust, transparency and regulatory compliance, especially when models are proprietary or otherwise operate as black boxes. While permutation-based…

机器学习 · 统计学 2025-12-24 Albert Dorador

We address the problem of model selection for Support Vector Machine (SVM) classification. For fixed functional form of the kernel, model selection amounts to tuning kernel parameters and the slack penalty coefficient $C$. We begin by…

无序系统与神经网络 · 物理学 2007-05-23 Carl Gold , Peter Sollich

Model checking plays an important role in linear regression as model misspecification seriously affects the validity and efficiency of regression analysis. In practice, model checking is often performed by subjectively evaluating the plot…

统计理论 · 数学 2019-11-19 Rok Blagus , Jakob Peterlin , Janez Stare

Suppose that we observe $y \in \mathbb{R}^n$ and $X \in \mathbb{R}^{n \times m}$ in the following errors-in-variables model: \begin{eqnarray*} y & = & X_0 \beta^* +\epsilon \\ X & = & X_0 + W, \end{eqnarray*} where $X_0$ is an $n \times m$…

机器学习 · 统计学 2017-04-04 Mark Rudelson , Shuheng Zhou