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We study least-squares trace regression when the parameter is the sum of a $r$-low-rank matrix and a $s$-sparse matrix and a fraction $\epsilon$ of the labels is corrupted. For subgaussian distributions and feature-dependent noise, we…

统计理论 · 数学 2024-01-08 Philip Thompson

Algorithmic verification of realistic systems to satisfy safety and other temporal requirements has suffered from poor scalability of the employed formal approaches. To design systems with rigorous guarantees, many approaches still rely on…

系统与控制 · 电气工程与系统科学 2024-03-18 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

We propose a novel estimator for the principal component (PC) subspace tailored to the high-dimension, low-sample size (HDLSS) context. The method, termed Adaptive Reference-Guided (ARG) estimator, is designed for data exhibiting spiked…

统计理论 · 数学 2025-08-12 Dongsun Yoon , Sungkyu Jung

In this study, Bayesian inference is developed for structural vector autoregressive models in which the structural parameters are identified via Markov-switching heteroskedasticity. In such a model, restrictions that are just-identifying in…

计量经济学 · 经济学 2023-11-13 Helmut Lütkepohl , Tomasz Woźniak

In this article, we study the asymptotic behaviour of the residual autocorrelations for periodic vector autoregressive time series models (PVAR henceforth) with uncorrelated but dependent innovations (i.e., weak PVAR). We then deduce the…

统计理论 · 数学 2024-10-01 Yacouba Boubacar Mainassara , Eugen Ursu

This paper extends validity of the conditional likelihood ratio (CLR) test developed by Moreira (2003) to instrumental variable regression models with unknown error variance and many weak instruments. In this setting, we argue that the…

计量经济学 · 经济学 2025-04-16 Sreevidya Ayyar , Yukitoshi Matsushita , Taisuke Otsu

This paper presents a simple method for carrying out inference in a wide variety of possibly nonlinear IV models under weak assumptions. The method is non-asymptotic in the sense that it provides a finite sample bound on the difference…

计量经济学 · 经济学 2018-09-12 Joel L. Horowitz

This paper considers inference in a linear instrumental variable regression model with many potentially weak instruments, in the presence of heterogeneous treatment effects. I first show that existing test procedures, including those that…

计量经济学 · 经济学 2025-04-24 Luther Yap

A new feature selection method based on an improved maximal relevance and minimal redundancy (mRMR) criterion was proposed for power system transient stability assessment. First, the standard mRMR was improved by introducing a weight…

信号处理 · 电气工程与系统科学 2019-03-06 Yang Li , Xueping Gu

In this paper new tests for the independence of two high-dimensional vectors are investigated. We consider the case where the dimension of the vectors increases with the sample size and propose multivariate analysis of variance-type…

统计理论 · 数学 2023-04-19 Taras Bodnar , Holger Dette , Nestor Parolya

We give a randomness-efficient homomorphism test in the low soundness regime for functions, $f: G\to \mathbb{U}_t$, from an arbitrary finite group $G$ to $t\times t$ unitary matrices. We show that if such a function passes a derandomized…

计算复杂性 · 计算机科学 2024-09-25 Tushant Mittal , Sourya Roy

We present an approach which allows for modifications of the (minimal) analytic QCD model of Shirkov, Solovtsov et al. The discontinuity function of the (minimal) analytic QCD coupling parameter is changed at the low time-like momenta by a…

高能物理 - 唯象学 · 物理学 2007-05-23 G. Cvetic , C. Valenzuela , I. Schmidt

In a case-control study aimed at locating autosomal disease variants for a disease of interest, association between markers and the disease status is often tested by comparing the marker minor allele frequencies (MAFs) between cases and…

应用统计 · 统计学 2020-02-13 Marianne A. Jonker , Jakub Pecanka

Eigenvectors of the reduced Bardeen-Cooper-Schrieffer Hamiltonian have recently been employed as a variational wavefunction ansatz in quantum chemistry. This wavefunction is a mean-field of pairs of electrons (geminals). In this…

化学物理 · 物理学 2020-08-31 Charles-Émile Fecteau , Hubert Fortin , Samuel Cloutier , Paul A. Johnson

This paper considers the regularized estimation of covariance matrices (CM) of high-dimensional (compound) Gaussian data for minimum variance distortionless response (MVDR) beamforming. Linear shrinkage is applied to improve the accuracy…

信号处理 · 电气工程与系统科学 2021-04-06 Lei Xie , Zishu He , Jun Tong , Jun Li , Jiangtao Xi

The object of investigation in this paper are vector nonlinear programming problems with cone constraints. We introduce the notion of a Fritz John pseudoinvex cone-constrained vector problem. We prove that a problem with cone constraints is…

最优化与控制 · 数学 2014-08-26 Vsevolod I. Ivanov

This paper introduces a likelihood ratio (LR)-type test that possesses the robustness properties of \(C(\alpha)\)-type procedures in an extremum estimation setting. The test statistic is constructed by applying separate adjustments to the…

计量经济学 · 经济学 2025-10-21 Jean-Marie Dufour , Purevdorj Tuvaandorj

In this paper we obtain second- and first-order optimality conditions of Kuhn-Tucker type and Fritz John one for weak efficiency in the vector problem with inequality constraints. In the necessary conditions we suppose that the objective…

最优化与控制 · 数学 2018-05-24 Vsevolod I. Ivanov

The problem of quickest change detection (QCD) in autoregressive (AR) models is investigated. A system is being monitored with sequentially observed samples. At some unknown time, a disturbance signal occurs and changes the distribution of…

信号处理 · 电气工程与系统科学 2023-10-16 Zhongchang Sun , Shaofeng Zou

In this article, a novel identification test is proposed, which can be applied to parameteric models such as Mixture of Normal (MN) distributions, Markow Switching(MS), or Structural Autoregressive (SVAR) models. In the approach, it is…

统计方法学 · 统计学 2022-06-09 Katarzyna Maciejowska