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Relative efficiency (RE), the Pitman asymptotic relative efficiency (ARE) and efficacy are important relative performance measures of signal detection techniques. These measures allow comparing two detectors in terms of the relative sample…

Information Theory · Computer Science 2019-06-26 Nagananda , K. G

We analyze the finite sample mean squared error (MSE) performance of regression trees and forests in the high dimensional regime with binary features, under a sparsity constraint. We prove that if only $r$ of the $d$ features are relevant…

Statistics Theory · Mathematics 2020-10-23 Vasilis Syrgkanis , Manolis Zampetakis

Estimating the parameters of max-stable parametric models poses significant challenges, particularly when some parameters lie on the boundary of the parameter space. This situation arises when a subset of variables exhibits extreme values…

Methodology · Statistics 2026-04-08 Anas Mourahib , Anna Kiriliouk , Johan Segers

A persistent challenge in astronomical machine learning is a systematic bias where predictions compress the dynamic range of true values-high values are consistently predicted too low while low values are predicted too high. Understanding…

Instrumentation and Methods for Astrophysics · Physics 2025-07-17 Yuan-Sen Ting

Periodic nonuniform sampling has been considered in literature as an effective approach to reduce the sampling rate far below the Nyquist rate for sparse spectrum multiband signals. In the presence of non-ideality the sampling parameters…

Systems and Control · Computer Science 2010-10-12 Moslem Rashidi , Sara Mansouri

In numerous applications, surrogate models are used as a replacement for accurate parameter-to-observable mappings when solving large-scale inverse problems governed by partial differential equations (PDEs). The surrogate model may be a…

Optimization and Control · Mathematics 2025-12-08 Ruanui Nicholson , Radoslav Vuchkov , Umberto Villa , Noemi Petra

We consider the problem of estimating the parameters of a linear univariate autoregressive model with sub-Gaussian innovations from a limited sequence of consecutive observations. Assuming that the parameters are compressible, we analyze…

Information Theory · Computer Science 2017-04-05 Abbas Kazemipour , Sina Miran , Piya Pal , Behtash Babadi , Min Wu

In the image classification task, the most common approach is to resize all images in a dataset to a unique shape, while reducing their precision to a size which facilitates experimentation at scale. This practice has benefits from a…

Computer Vision and Pattern Recognition · Computer Science 2021-05-21 Ferran Parés , Anna Arias-Duart , Dario Garcia-Gasulla , Gema Campo-Francés , Nina Viladrich , Eduard Ayguadé , Jesús Labarta

We consider benchmarked empirical Bayes (EB) estimators under the basic area-level model of Fay and Herriot while requiring the standard benchmarking constraint. In this paper we determine the excess mean squared error (MSE) from…

Methodology · Statistics 2013-04-08 Rebecca C. Steorts , Malay Ghosh

Despite numerous studies of deep autoencoders (AEs) for unsupervised anomaly detection, AEs still lack a way to express uncertainty in their predictions, crucial for ensuring safe and trustworthy machine learning systems in high-stake…

Machine Learning · Computer Science 2022-02-28 Bang Xiang Yong , Alexandra Brintrup

In this paper, we propose a sparse signal estimation algorithm that is suitable for many wireless communication systems, especially for the future millimeter wave and underwater communication systems. This algorithm is not only…

Information Theory · Computer Science 2018-07-20 Chongwen Huang , Lei Liu , Chau Yuen

Building a scalable machine learning system for unsupervised anomaly detection via representation learning is highly desirable. One of the prevalent methods is using a reconstruction error from variational autoencoder (VAE) via maximizing…

Machine Learning · Computer Science 2020-05-08 Seonho Park , George Adosoglou , Panos M. Pardalos

Recently, data-driven weather forecasting methods have received significant attention for surpassing the RMSE performance of traditional NWP (Numerical Weather Prediction)-based methods. However, data-driven models are tuned to minimize the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Doyi Kim , Minseok Seo , Yeji Choi

For underwater vehicles, robotic applications have the added difficulty of operating in highly unstructured and dynamic environments. Environmental effects impact not only the dynamics and controls of the robot but also the perception and…

Robotics · Computer Science 2023-07-18 Jingyu Song , Onur Bagoren , Katherine A. Skinner

Climate models are limited by heavy computational costs, often producing outputs at coarse spatial resolutions, while many climate change impact studies require finer scales. Statistical downscaling bridges this gap, and we adapt the…

Machine Learning · Computer Science 2025-11-06 Maryam Alipourhajiagha , Pierre-Louis Lemaire , Youssef Diouane , Julie Carreau

This paper describes the RRMSE (Relative Root Mean Square Error) based weights to weight the occurrences of predictive values before averaging for the ensemble voting regression. The core idea behind ensemble regression is to combine…

Machine Learning · Computer Science 2022-07-12 Shikun Chen , Nguyen Manh Luc

This paper proposes a hierarchical, multi-resolution framework for the identification of model parameters and their spatially variability from noisy measurements of the response or output. Such parameters are frequently encountered in…

Mathematical Physics · Physics 2015-05-13 P. S. Koutsourelakis

A difficulty in MSE estimation occurs because we do not specify a full distribution for the survey weights. This obfuscates the use of fully parametric bootstrap procedures. To overcome this challenge, we develop a novel MSE estimator. We…

Methodology · Statistics 2022-10-25 Yanghyeon Cho , Emily Berg

Whilst the size and complexity of ML models have rapidly and significantly increased over the past decade, the methods for assessing their performance have not kept pace. In particular, among the many potential performance metrics, the ML…

Machine Learning · Computer Science 2023-12-29 Michael Roberts , Alon Hazan , Sören Dittmer , James H. F. Rudd , Carola-Bibiane Schönlieb

Traditional covariate selection methods for causal inference focus on achieving unbiasedness and asymptotic efficiency. In many practical scenarios, researchers must estimate causal effects from observational data with limited sample sizes…

Statistics Theory · Mathematics 2025-06-17 Nadja Rutsch , Sara Magliacane , Stéphanie van der Pas