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In cognitive radio systems, cyclostationary feature detection plays an important role in spectrum sensing, especially in low SNR cases. To configure the detection threshold under a certain noise level and a pre-set miss detection…

信息论 · 计算机科学 2009-05-04 Gan Xiaoying , Shan Da , Zhou Yuan , Zhang Wei , Qian Liang

In many situations, the choice of an adequate similarity measure or metric on the feature space dramatically determines the performance of machine learning methods. Building automatically such measures is the specific purpose of…

机器学习 · 统计学 2020-02-24 Stéphan Clémençon , Robin Vogel

Area under ROC curve (AUC) is a widely used performance measure for classification models. We propose two new distributionally robust AUC maximization models (DR-AUC) that rely on the Kantorovich metric and approximate the AUC with the…

最优化与控制 · 数学 2020-05-28 Wenbo Ma , Miguel A. Lejeune

Recently, discriminatively learned correlation filters (DCF) has drawn much attention in visual object tracking community. The success of DCF is potentially attributed to the fact that a large amount of samples are utilized to train the…

计算机视觉与模式识别 · 计算机科学 2016-11-16 Kai Chen , Wenbing Tao

The Cram\'er-Rao bound (CRB), a well-known lower bound on the performance of any unbiased parameter estimator, has been used to study a wide variety of problems. However, to obtain the CRB, requires an analytical expression for the…

机器学习 · 计算机科学 2022-10-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

Many astronomical optical systems have the disadvantage of generating curved focal planes requiring flattening optical elements to project the corrected image on flat detectors. The use of these designs in combination with a classical flat…

High dimensional covariance estimation and graphical models is a contemporary topic in statistics and machine learning having widespread applications. An important line of research in this regard is to shrink the extreme spectrum of the…

统计方法学 · 统计学 2016-06-28 Sang-Yun Oh , Bala Rajaratnam , Joong-Ho Won

Area under the receiver operating characteristics curve (AUC) is an important metric for a wide range of signal processing and machine learning problems, and scalable methods for optimizing AUC have recently been proposed. However, handling…

机器学习 · 计算机科学 2018-06-01 San Gultekin , Avishek Saha , Adwait Ratnaparkhi , John Paisley

The area under the receiver operating characteristic curve (AUC) serves as a summary of a binary classifier's performance. Methods for estimating the AUC have been developed under a binormality assumption which restricts the distribution of…

统计方法学 · 统计学 2020-07-28 Zhe Wang , Ryan Martin

We build a unifying convex analysis framework characterizing the statistical properties of a large class of penalized estimators, both under a regular and an irregular design. Our framework interprets penalized estimators as proximal…

统计理论 · 数学 2026-05-12 Alberto Quaini , Fabio Trojani

Robust estimators for linear regression require non-convex objective functions to shield against adverse affects of outliers. This non-convexity brings challenges, particularly when combined with penalization in high-dimensional settings.…

统计计算 · 统计学 2025-08-08 David Kepplinger , Siqi Wei

The characterization of local regularity is a fundamental issue in signal and image processing, since it contains relevant information about the underlying systems. The 2-microlocal frontier, a monotone concave downward curve in $\mathbb…

经典分析与常微分方程 · 数学 2018-10-18 Ursula Molter , Mariel Rosenblatt

Irregular errors such as heteroscedasticity and nonnormality remain major challenges in linear modeling. These issues often lead to biased inference and unreliable measures of uncertainty. Classical remedies, such as robust standard errors…

统计方法学 · 统计学 2026-03-05 Elsayed Elamir

In meta-analysis of diagnostic test accuracy, summary receiver operating characteristic (SROC) is a recommended method to summarize the discriminant capacity of a diagnostic test in the presence of study-specific cutoff values and the area…

统计方法学 · 统计学 2023-01-10 Yi Zhou , Ao Huang , Satoshi Hattori

In high-stakes risk prediction, quantifying uncertainty through interval-valued predictions is essential for reliable decision-making. However, standard evaluation tools like the receiver operating characteristic (ROC) curve and the area…

机器学习 · 计算机科学 2026-02-05 Yuqi Li , Matthew M. Engelhard

The Partial Area Under the ROC Curve (PAUC), typically including One-way Partial AUC (OPAUC) and Two-way Partial AUC (TPAUC), measures the average performance of a binary classifier within a specific false positive rate and/or true positive…

机器学习 · 计算机科学 2022-10-12 Huiyang Shao , Qianqian Xu , Zhiyong Yang , Shilong Bao , Qingming Huang

Covariate imbalance between treatment groups makes it difficult to compare cumulative incidence curves in competing risk analyses. In this paper we discuss different methods to estimate adjusted cumulative incidence curves including inverse…

统计方法学 · 统计学 2024-12-04 Patrick van Hage , Saskia le Cessie , Marissa C. van Maaren , Hein Putter , Nan van Geloven

Recalibration of binary probabilistic classifiers to a target prior probability is an important task in areas like credit risk management. However, recalibration of a classifier learned on a training dataset to a target on a test dataset in…

机器学习 · 计算机科学 2026-02-02 Dirk Tasche

Covariate shift relaxes the widely-employed independent and identically distributed (IID) assumption by allowing different training and testing input distributions. Unfortunately, common methods for addressing covariate shift by trying to…

机器学习 · 计算机科学 2018-01-02 Anqi Liu , Brian D. Ziebart

Nearly all state of the art vision models are sensitive to image rotations. Existing methods often compensate for missing inductive biases by using augmented training data to learn pseudo-invariances. Alongside the resource demanding data…

计算机视觉与模式识别 · 计算机科学 2023-02-08 Johann Schmidt , Sebastian Stober