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Shape graphs are complex geometrical structures commonly found in biological and anatomical systems. A shape graph is a collection of nodes, some connected by curvilinear edges with arbitrary shapes. Their high complexity stems from the…

统计计算 · 统计学 2024-09-17 Benjamin Beaudett , Anuj Srivastava

The use of high-dimensional features has become a normal practice in many computer vision applications. The large dimension of these features is a limiting factor upon the number of data points which may be effectively stored and processed,…

计算机视觉与模式识别 · 计算机科学 2015-06-18 Sakrapee Paisitkriangkrai , Chunhua Shen , Anton van den Hengel

Principal component analysis is a useful dimension reduction and data visualization method. However, in high dimension, low sample size asymptotic contexts, where the sample size is fixed and the dimension goes to infinity,a paradox has…

应用统计 · 统计学 2012-11-21 Dan Shen , Haipeng Shen , Hongtu Zhu , J. S. Marron

This paper presents the novel combination of a visual transformer style patch classifier with saccaded local attention. A novel optimisation paradigm for training object models is also presented, rather than the optimisation function…

计算机视觉与模式识别 · 计算机科学 2022-10-18 Willem. T. Pye , David. A. Sinclair

The success of deep learning has set new benchmarks for many medical image analysis tasks. However, deep models often fail to generalize in the presence of distribution shifts between training (source) data and test (target) data. One…

图像与视频处理 · 电气工程与系统科学 2022-06-28 Dwarikanath Mahapatra

The input data features set for many data driven tasks is high-dimensional while the intrinsic dimension of the data is low. Data analysis methods aim to uncover the underlying low dimensional structure imposed by the low dimensional hidden…

机器学习 · 计算机科学 2019-01-30 Moshe Salhov , Ofir Lindenbaum , Yariv Aizenbud , Avi Silberschatz , Yoel Shkolnisky , Amir Averbuch

Dimension reduction and visualization is a staple of data analytics. Methods such as Principal Component Analysis (PCA) and Multidimensional Scaling (MDS) provide low dimensional (LD) projections of high dimensional (HD) data while…

统计方法学 · 统计学 2017-09-21 J. T. Fry , Matt Slifko , Scotland Leman

The idea of replacing hardware by software to compensate for scattered radiation in flat-panel X-ray imaging is well established in the literature. Recently, deep-learningbased image translation approaches, most notably the U-Net, have…

Cluster analysis of very high dimensional data can benefit from the properties of such high dimensionality. Informally expressed, in this work, our focus is on the analogous situation when the dimensionality is moderate to small, relative…

机器学习 · 统计学 2017-04-07 Fionn Murtagh

In healthcare, accurately classifying medical images is vital, but conventional methods often hinge on medical data with a consistent grid structure, which may restrict their overall performance. Recent medical research has been focused on…

计算机视觉与模式识别 · 计算机科学 2023-06-06 Kishore Babu Nampalle , Pradeep Singh , Vivek Narayan Uppala , Sumit Gangwar , Rajesh Singh Negi , Balasubramanian Raman

OPTICS is a density-based clustering algorithm that performs well in a wide variety of applications. For a set of input objects, the algorithm creates a so-called reachability plot that can be either used to produce cluster membership…

定量方法 · 定量生物学 2013-09-10 Gabor Ivan , Vince Grolmusz

Though analyzing a single scalar field using Morse complexes is well studied, there are few techniques for visualizing a collection of Morse complexes. We focus on analyses that are enabled by looking at a Morse complex as an embedded…

人机交互 · 计算机科学 2023-01-20 Jixian Li , Danielle Van Boxel , Joshua A. Levine

We consider change-point estimation in a sequence of high-dimensional signals given noisy observations. Classical approaches to this problem such as the filtered derivative method are useful for sequences of scalar-valued signals, but they…

统计理论 · 数学 2015-01-08 Yong Sheng Soh , Venkat Chandrasekaran

The growing number of dimensionality reduction methods available for data visualization has recently inspired the development of quality assessment measures, in order to evaluate the resulting low-dimensional representation independently…

机器学习 · 计算机科学 2011-10-19 Wouter Lueks , Bassam Mokbel , Michael Biehl , Barbara Hammer

The development of medical vision-language foundation models has attracted significant attention in the field of medicine and healthcare due to their promising prospect in various clinical applications. While previous studies have commonly…

计算机视觉与模式识别 · 计算机科学 2024-02-27 Weijian Huang , Cheng Li , Hong-Yu Zhou , Jiarun Liu , Hao Yang , Yong Liang , Guangming Shi , Hairong Zheng , Shanshan Wang

Given labeled points in a high-dimensional vector space, we seek a low-dimensional subspace such that projecting onto this subspace maintains some prescribed distance between points of differing labels. Intended applications include…

机器学习 · 统计学 2018-12-10 Culver McWhirter , Dustin G. Mixon , Soledad Villar

Most Machine Learning (ML) methods, from clustering to classification, rely on a distance function to describe relationships between datapoints. For complex datasets it is hard to avoid making some arbitrary choices when defining a distance…

机器学习 · 统计学 2016-07-04 Gina Gruenhage , Manfred Opper , Simon Barthelme

In the supervised learning domain, considering the recent prevalence of algorithms with high computational cost, the attention is steering towards simpler, lighter, and less computationally extensive training and inference approaches. In…

机器学习 · 计算机科学 2022-09-02 Antonello Rosato , Massimo Panella , Denis Kleyko

Manifold learning (ML), known also as non-linear dimension reduction, is a set of methods to find the low dimensional structure of data. Dimension reduction for large, high dimensional data is not merely a way to reduce the data; the new…

机器学习 · 统计学 2023-11-08 Marina Meilă , Hanyu Zhang

This study introduces a novel unsupervised medical image feature extraction method that employs spatial stratification techniques. An objective function based on weight is proposed to achieve the purpose of fast image recognition. The…

图像与视频处理 · 电气工程与系统科学 2024-06-28 Qishi Zhan , Dan Sun , Erdi Gao , Yuhan Ma , Yaxin Liang , Haowei Yang
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