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In this paper, we study the problem of testing the mean vectors of high dimensional data in both one-sample and two-sample cases. The proposed testing procedures employ maximum-type statistics and the parametric bootstrap techniques to…

统计理论 · 数学 2018-01-23 Jinyuan Chang , Chao Zheng , Wen-Xin Zhou , Wen Zhou

The standardized mean difference (SMD) is a widely used measure of effect size, particularly common in psychology, clinical trials, and meta-analysis involving continuous outcomes. Traditionally, under the equal variance assumption, the SMD…

统计方法学 · 统计学 2025-06-05 Jiandong Shi , Xiaochen Zhang , Lu Lin , Hiu Yee Kwan , Tiejun Tong

Medical diagnosis is not a single prediction from a fully specified vignette. It is a sequential workup: clinicians decide what evidence to obtain, revise a differential diagnosis, and stop when the diagnosis is sufficiently supported. Most…

Anomaly detection (AD) plays a vital role across a wide range of real-world domains by identifying data instances that deviate from expected patterns, potentially signaling critical events such as system failures, fraudulent activities, or…

机器学习 · 计算机科学 2025-07-11 Amirhossein Sadough , Mahyar Shahsavari , Mark Wijtvliet , Marcel van Gerven

We introduce a new stable mathematical model for locating and measuring the medial axis of geometric objects, called the quadratic multiscale medial axis map of scale $\lambda$, and prove a sharp regularity result for the squared-distance…

度量几何 · 数学 2015-08-25 Kewei Zhang , Elaine Crooks , Antonio Orlando

This paper presents a general notion of Mahalanobis distance for functional data that extends the classical multivariate concept to situations where the observed data are points belonging to curves generated by a stochastic process. More…

统计理论 · 数学 2013-04-18 Esdras Joseph , Pedro Galeano , Rosa E. Lillo

In deep reinforcement learning (RL) systems, abnormal states pose significant risks by potentially triggering unpredictable behaviors and unsafe actions, thus impeding the deployment of RL systems in real-world scenarios. It is crucial for…

机器学习 · 计算机科学 2024-10-21 Hongming Zhang , Ke Sun , Bo Xu , Linglong Kong , Martin Müller

Interval-valued data are one of the most common symbolic data types, which enables the preservation of the underlying variability of the data. The interval mean and covariance matrix can be estimated using the barycenter approach based on…

统计方法学 · 统计学 2026-04-30 Catarina P. Loureiro , M. Rosário Oliveira , Paula Brito , Lina Oliveira

Histogram-valued variables are a particular kind of variables studied in Symbolic Data Analysis where to each entity under analysis corresponds a distribution that may be represented by a histogram or by a quantile function. Linear…

统计方法学 · 统计学 2013-03-26 Sónia Dias , Paula Brito

This paper introduces several depths for random sets with possibly non-convex realisations, proposes ways to estimate the depths based on the samples and compares them with existing ones. The depths are further applied for the comparison…

统计方法学 · 统计学 2024-02-06 Vesna Gotovac Đogaš

Tabular anomaly detection, which aims at identifying deviant samples, has been crucial in a variety of real-world applications, such as medical disease identification, financial fraud detection, intrusion monitoring, etc. Although recent…

机器学习 · 计算机科学 2025-06-04 Ruiying Lu , Jinhan Liu , Chuan Du , Dandan Guo

We propose a data-driven space-filling curve method for 2D and 3D visualization. Our flexible curve traverses the data elements in the spatial domain in a way that the resulting linearization better preserves features in space compared to…

图形学 · 计算机科学 2020-09-15 Liang Zhou , Chris R. Johnson , Daniel Weiskopf

Deep distance metric learning (DDML), which is proposed to learn image similarity metrics in an end-to-end manner based on the convolution neural network, has achieved encouraging results in many computer vision tasks.$L2$-normalization in…

计算机视觉与模式识别 · 计算机科学 2018-03-29 Xuefei Zhe , Shifeng Chen , Hong Yan

Pattern extraction algorithms are enabling insights into the ever-growing amount of today's datasets by translating reoccurring data properties into compact representations. Yet, a practical problem arises: With increasing data volumes and…

信息检索 · 计算机科学 2018-07-05 Michael Behrisch , Robert Krueger , Fritz Lekschas , Tobias Schreck , Nils Gehlenborg , Hanspeter Pfister

Anomaly detection in smart power grids is a critical challenge due to the complexity, heterogeneity, and dynamic nature of sensor data streams. Existing one-class classification methods, particularly Subspace Support Vector Data Description…

机器学习 · 计算机科学 2026-04-24 Thomas Debelle , Fahad Sohrab , Pekka Abrahamsson , Moncef Gabbouj

Medical Image Analysis (MedIA) has become indispensable in modern healthcare, enhancing clinical diagnostics and personalized treatment. Despite the remarkable advancements supported by deep learning (DL) technologies, their practical…

图像与视频处理 · 电气工程与系统科学 2026-04-21 Zixian Su , Jingwei Guo , Xi Yang , Qiufeng Wang , Frans Coenen , Amir Hussain , Kaizhu Huang

Machine learning algorithms using deep architectures have been able to implement increasingly powerful and successful models. However, they also become increasingly more complex, more difficult to comprehend and easier to fool. So far, most…

机器学习 · 计算机科学 2020-08-20 Alexander Schulz , Fabian Hinder , Barbara Hammer

Distance metric learning is of fundamental interest in machine learning because the distance metric employed can significantly affect the performance of many learning methods. Quadratic Mahalanobis metric learning is a popular approach to…

机器学习 · 计算机科学 2013-02-15 Chunhua Shen , Junae Kim , Fayao Liu , Lei Wang , Anton van den Hengel

Rotated object detection in aerial images is a meaningful yet challenging task as objects are densely arranged and have arbitrary orientations. The eight-parameter (coordinates of box vectors) methods in rotated object detection usually use…

计算机视觉与模式识别 · 计算机科学 2022-10-05 Siyang Wen , Wei Guo , Yi Liu , Ruijie Wu

The paper proposes a novel evaluation metric for automatic medical report generation from X-ray images, VLScore. It aims to overcome the limitations of existing evaluation methods, which either focus solely on textual similarities, ignoring…

计算机视觉与模式识别 · 计算机科学 2024-10-24 Gefen Dawidowicz , Elad Hirsch , Ayellet Tal