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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…

Machine Learning · Computer Science 2011-10-19 Wouter Lueks , Bassam Mokbel , Michael Biehl , Barbara Hammer

We consider inference problems for high-dimensional (HD) functional data with a dense number (T) of repeated measurements taken for a large number of p variables from a small number of n experimental units. The spatial and temporal…

Methodology · Statistics 2020-05-06 Shawn Santo , Ping-Shou Zhong

In phylogenomics, species-tree methods must contend with two major sources of noise; stochastic gene-tree variation under the multispecies coalescent model (MSC) and finite-sequence substitutional noise. Fast agglomerative methods such as…

Populations and Evolution · Quantitative Biology 2025-07-11 Georgios Aliatimis , Ruriko Yoshida , Burak Boyaci , James A. Grant

Convolutional Neural Networks (CNNs) have recently been shown to excel at performing visual place recognition under changing appearance and viewpoint. Previously, place recognition has been improved by intelligently selecting relevant…

Robotics · Computer Science 2018-10-31 Stephen Hausler , Adam Jacobson , Michael Milford

Vovk (2015) introduced cross-conformal prediction, a modification of split conformal designed to improve the width of prediction sets. The method, when trained with a miscoverage rate equal to $\alpha$ and $n \gg K$, ensures a marginal…

Machine Learning · Statistics 2025-05-22 Matteo Gasparin , Aaditya Ramdas

In industrial defect segmentation tasks, while pixel accuracy and Intersection over Union (IoU) are commonly employed metrics to assess segmentation performance, the output consistency (also referred to equivalence) of the model is often…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Zhen Qu , Xian Tao , Fei Shen , Zhengtao Zhang , Tao Li

We study the numerical bounds obtained using a conformal-bootstrap method - advocated in ref. [1] but never implemented so far - where different points in the plane of conformal cross ratios $z$ and $\bar z$ are sampled. In contrast to the…

High Energy Physics - Theory · Physics 2016-11-04 Alejandro Castedo Echeverri , Benedict von Harling , Marco Serone

By stacking layers of convolution and nonlinearity, convolutional networks (ConvNets) effectively learn from low-level to high-level features and discriminative representations. Since the end goal of large-scale recognition is to delineate…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Peihua Li , Jiangtao Xie , Qilong Wang , Wangmeng Zuo

It is of great significance to identify the nonhomogeneous distribution of material properties in human tissues for different clinical and medical applications. This leads to the requirement of solving an inverse problem in elasticity. The…

Medical Physics · Physics 2022-11-04 Jianwei Deng , Xu Guo , Yue Mei , Stephane Avril

Existing feature selection methods fail to properly account for interactions between features when evaluating feature subsets. In this paper, we attempt to remedy this issue by using orthogonal variance decomposition to evaluate features.…

Machine Learning · Computer Science 2019-10-23 Firuz Kamalov

We introduce a new measure of coarseness for characterizing phase separation processes such as those described by Cahn--Hilliard equations. An advantage of our measure is that it remains consistent throughout the evolution, including for…

Analysis of PDEs · Mathematics 2026-01-22 Peter Howard , Adam Larios , Quyuan Lin

We propose a novel approach which exploits chaos to enhance classification accuracy. Specifically, the available data that need to be classified are treated as vectors that are first lifted into a higher-dimensional space and then used as…

Machine Learning · Computer Science 2026-04-21 Panos Stinis

We present a comparison of four methods of filtering solar-like variability to increase the efficiency of detection of Earth-like planetary transits by means of box-shaped transit finder algorithms. Two of these filtering methods are the…

Astrophysics · Physics 2009-11-13 A. S. Bonomo , S. Aigrain , P. Bordé , A. F. Lanza

We present a new method to extract cosmological constraints from weak lensing (WL) peak counts, which we denote as `the hierarchical algorithm'. The idea of this method is to combine information from WL maps sequentially smoothed with a…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Laura Marian , Robert E. Smith , Stefan Hilbert , Peter Schneider

Conformal Prediction (CP) is a distribution-free method for constructing prediction sets with marginal finite-sample coverage guarantees, making it a suitable framework for reliable uncertainty quantification in safety-critical object…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Christopher Ries , Moussa Kassem Sbeyti , Nicolas Bianco , Nadja Klein

Min-max problems have broad applications in machine learning, including learning with non-decomposable loss and learning with robustness to data distribution. Convex-concave min-max problem is an active topic of research with efficient…

Optimization and Control · Mathematics 2021-05-12 Hassan Rafique , Mingrui Liu , Qihang Lin , Tianbao Yang

Studying the conformations involved in the dimerization of cadherins is highly relevant to understand the development of tissue and its failure, which is associated with tumors and metastases. Experimental techniques, like X-ray…

Biomolecules · Quantitative Biology 2020-02-26 S. Terzoli , G. Tiana

Recently, the prediction-correction method has been developed to solve nonlinear convex optimization problems. However, its convergence rate is often poor since large regularization parameters are set to ensure convergence conditions. In…

Optimization and Control · Mathematics 2024-11-05 Sai Wang

The goal of extrinsic calibration is the alignment of sensor data to ensure an accurate representation of the surroundings and enable sensor fusion applications. From a safety perspective, sensor calibration is a key enabler of autonomous…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Ilir Tahiraj , Jeremialie Swadiryus , Felix Fent , Markus Lienkamp

Camouflaged object detection (COD) primarily relies on semantic or instance segmentation methods. While these methods have made significant advancements in identifying the contours of camouflaged objects, they may be inefficient or…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Zhimeng Xin , Tianxu Wu , Shiming Chen , Shuo Ye , Zijing Xie , Yixiong Zou , Xinge You , Yufei Guo