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A collection of robust Mahalanobis distances for multivariate outlier detection is proposed, based on the notion of shrinkage. Robust intensity and scaling factors are optimally estimated to define the shrinkage. Some properties are…

Methodology · Statistics 2020-01-06 Elisa Cabana , Rosa E. Lillo , Henry Laniado

We calculate the next-to-leading order short distance QCD corrections to the coefficient $\eta_1$ of the effective $\Delta S = 2$ hamiltonian in the standard model. This part dominates the short distance contribution $(\Delta m_K)^{\rm SD}$…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. Herrlich , U. Nierste

Doubly robust (DR) estimation is a crucial technique in causal inference and missing data problems. We propose a novel Propensity score Augmentved Doubly robust (PAD) estimator to enhance the commonly used DR estimator for average treatment…

Methodology · Statistics 2023-04-18 Liangbo Lyu , Molei Liu

K-Medoids(KM) is a standard clustering method, used extensively on semi-metric data.Error analyses of KM have traditionally used an in-sample notion of error,which can be far from the true error and suffer from generalization gap. We…

Machine Learning · Computer Science 2019-10-31 Aravindakshan Babu , Saurabh Agarwal , Sudarshan Babu , Hariharan Chandrasekaran

The $k$-means is a popular clustering objective, although it is inherently non-robust and sensitive to outliers. Its popular seeding or initialization called $k$-means++ uses $D^{2}$ sampling and comes with a provable $O(\log k)$…

Machine Learning · Computer Science 2023-09-07 Amit Deshpande , Rameshwar Pratap

Dissipative estimator (observer) design for continuous time-delay systems poses a significant challenge when an unlimited number of pointwise and general distributed delays (DDs) are concerned. We propose an effective solution to this…

Optimization and Control · Mathematics 2024-08-08 Qian Feng , Feng Xiao , Xiaoyu Wang

In this article we revisit the auxiliary variable method introduced in Smith and kohn (1996) for the fitting of P-th order spline regression models with an unknown number of knot points. We introduce modifications which allow the location…

Methodology · Statistics 2009-11-11 Y. Fan , J. -L Dortet-Bernadet , S. A. Sisson

A new anomaly detection method called kernel outlier detection (KOD) is proposed. It is designed to address challenges of outlier detection in high-dimensional settings. The aim is to overcome limitations of existing methods, such as…

Machine Learning · Computer Science 2025-07-01 Can Hakan Dağıdır , Mia Hubert , Peter J. Rousseeuw

The stable principal component pursuit (SPCP) is a non-smooth convex optimization problem, the solution of which enables one to reliably recover the low rank and sparse components of a data matrix which is corrupted by a dense noise matrix,…

Optimization and Control · Mathematics 2015-02-10 Necdet Serhat Aybat , Garud Iyengar

We study the problem of high-dimensional variable selection via some two-step procedures. First we show that given some good initial estimator which is $\ell_{\infty}$-consistent but not necessarily variable selection consistent, we can…

Statistics Theory · Mathematics 2008-10-10 Jian Zhang , Xinge Jessie Jeng , Han Liu

We study the asymptotic properties of a class of estimators of the structural parameters in dynamic discrete choice games. We consider K-stage policy iteration (PI) estimators, where K denotes the number of policy iterations employed in the…

Econometrics · Economics 2020-05-26 Federico A. Bugni , Jackson Bunting

Sketch-and-solve (SAS) is a very successful method to efficiently estimate the solution of heavily overdetermined large linear least squares problems. It uses random sketching to reduce the size of the problem, hence reducing the…

Numerical Analysis · Mathematics 2026-05-26 Irina-Beatrice Haas , Michael B. Giles , Yuji Nakatsukasa

How can we efficiently compress a model while maintaining its performance? Knowledge Distillation (KD) is one of the widely known methods for model compression. In essence, KD trains a smaller student model based on a larger teacher model…

Machine Learning · Computer Science 2020-12-14 Ikhyun Cho , U Kang

We present the attempt to study the problem of the estimates of higher-order perturbative corrections to physical quantities in the Euclidean region. Our considerations are based on the application of the scheme-invariant methods, namely…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. L. Kataev , V. V. Starshenko

This paper proposes novel pilot optimization and channel estimation algorithm for the downlink multiuser massive multiple input multiple output (MIMO) system with $K$ decentralized single antenna mobile stations (MSs), and time division…

Applications · Statistics 2014-02-07 Tadilo Endeshaw Bogale , Long Bao Le

We consider the problem of estimating parameters of stochastic differential equations (SDEs) with discrete-time observations that are either completely or partially observed. The transition density between two observations is generally…

Methodology · Statistics 2015-09-09 Libo Sun , Chihoon Lee , Jennifer A. Hoeting

We propose a minimum distance estimation method for robust regression in sparse high-dimensional settings. The traditional likelihood-based estimators lack resilience against outliers, a critical issue when dealing with high-dimensional…

Methodology · Statistics 2013-07-12 Aurélie C. Lozano , Nicolai Meinshausen

In two and three dimensional Lipschitz, but not necessarily convex, polytopal domains, we propose and analyze a posteriori error estimators for an optimal control problem involving the stationary Navier--Stokes equations; control…

Numerical Analysis · Mathematics 2021-01-13 Alejandro Allendes , Francisco Fuica , Enrique Otarola , Daniel Quero

We consider the joint estimation of change point locations and the sparsity pattern of the variance covariance matrix, which is assumed to evolve in a piecewise constant manner. By applying Group Fused LASSO and LASSO penalties to the…

Methodology · Statistics 2026-05-14 Ying Lin , Benjamin Poignard

Numerous approaches are proposed in the literature for non-stationarity marginal extreme value inference, including different model parameterisations with respect to covariate, and different inference schemes. The objective of this article…

Applications · Statistics 2022-02-16 Matthew Jones , David Randell , Kevin Ewans , Philip Jonathan
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