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We study how the lift-and-project procedure applies to the multiparametric analysis of conic linear optimization (CLO) problems. We first introduce the concept of a pair of primal and dual conic representable sets and define the set-valued…

Optimization and Control · Mathematics 2022-12-09 Zi-zong Yan , Xiangjun Li , Jinhai Guo

Many real-world problems require trading off multiple competing objectives. However, these objectives are often in different units and/or scales, which can make it challenging for practitioners to express numerical preferences over…

We present a new technique for visualizing high-dimensional data called cluster MDS (cl-MDS), which addresses a common difficulty of dimensionality reduction methods: preserving both local and global structures of the original sample in a…

Graphics · Computer Science 2024-05-27 Patricia Hernández-León , Miguel A. Caro

We propose a fold change visualization that demonstrates a combination of properties from log and linear plots of fold change. A useful fold change visualization can exhibit: (1) readability, where fold change values are recoverable from…

Graphics · Computer Science 2023-03-21 Bruce A. Corliss , Yaotian Wang , Francis P. Driscoll , Heman Shakeri , Philip E. Bourne

In this paper, we propose a concept to design, track, and compare application-specific feature definitions expressed as sets of critical points. Our work has been inspired by the observation that in many applications a large variety of…

Machine Learning · Computer Science 2020-11-18 Wito Engelke , Talha Bin Masood , Jakob Beran , Rodrigo Caballero , Ingrid Hotz

Glyph-based visualization is an effective tool for depicting multivariate information. Since sorting is one of the most common analytical tasks performed on individual attributes of a multi-dimensional data set, this motivates the…

In the last years, Distributed Visualization over Personal Computer (PC) clusters has become important for research and industrial communities. They have made large-scale visualizations practical and more accessible. In this work we survey…

Graphics · Computer Science 2015-07-07 Jose Rodrigues , Andre Balan , Luciana Zaina , Agma Traina

Bilinear models has been shown to achieve impressive performance on a wide range of visual tasks, such as semantic segmentation, fine grained recognition and face recognition. However, bilinear features are high dimensional, typically on…

Computer Vision and Pattern Recognition · Computer Science 2016-04-13 Yang Gao , Oscar Beijbom , Ning Zhang , Trevor Darrell

Efficient extraction of useful knowledge from these data is still a challenge, mainly when the data is distributed, heterogeneous and of different quality depending on its corresponding local infrastructure. To reduce the overhead cost,…

Databases · Computer Science 2017-04-17 Nhien-An Le-Khac , M-Tahar Kechadi

The recently proposed projection quantization, which is a method to quantize particular subspaces of systems with known quantum theory, is shown to yield a genuine quantization in several cases. This may be inferred from exact results…

Quantum Physics · Physics 2009-10-31 Martin Bojowald , Thomas Strobl

Cyclidic nets are introduced as discrete analogs of curvature line parametrized surfaces and orthogonal coordinate systems. A 2-dimensional cyclidic net is a piecewise smooth $C^1$-surface built from surface patches of Dupin cyclides, each…

Differential Geometry · Mathematics 2015-03-18 Alexander I. Bobenko , Emanuel Huhnen-Venedey

A key challenge when designing particle filters in high-dimensional state spaces is the construction of a proposal distribution that is close to the posterior distribution. Recent advances in particle flow filters provide a promising avenue…

Methodology · Statistics 2017-06-30 Yunpeng Li , Mark Coates

This work approaches the multidimensional scaling problem from a novel angle. We introduce a scalable method based on the h-plot, which inherently accommodates asymmetric proximity data. Instead of embedding the objects themselves, the…

Applications · Statistics 2026-01-12 Aleix Alcacer , Irene Epifanio

This paper presents a significant advancement in the estimation of the Composite Link Model within a penalized likelihood framework, specifically designed to address indirect observations of grouped count data. While the model is effective…

Methodology · Statistics 2025-12-16 Carlo G. Camarda , María Durbán

Automating the solutions of multiple network information theory problems, stretching from fundamental concerns such as determining all information inequalities and the limitations of linear codes, to applied ones such as designing coded…

Information Theory · Computer Science 2017-07-10 Jayant Apte , John MacLaren Walsh

Data visualisation helps understanding data represented by multiple variables, also called features, stored in a large matrix where individuals are stored in lines and variable values in columns. These data structures are frequently called…

Human-Computer Interaction · Computer Science 2022-07-25 Haseeb Younis , Paul Trust , Rosane Minghim

We present a novel clustering algorithm, visClust, that is based on lower dimensional data representations and visual interpretation. Thereto, we design a transformation that allows the data to be represented by a binary integer array…

Computer Vision and Pattern Recognition · Computer Science 2024-05-31 Anna Breger , Clemens Karner , Martin Ehler

Multivalued projections are applied to the study of weighted least squares solutions of linear relations equations (or inclusions) and some of its applications. To this end a matrix representation of multivalued projections with respect to…

Functional Analysis · Mathematics 2023-01-31 Maria Laura Arias , Maximiliano Contino , Alejandra Maestripieri , Stefania Marcantognini

While there is considerable work on change point analysis in univariate time series, more and more data being collected comes from high dimensional multivariate settings. This paper introduces the asymptotic concept of high dimensional…

Statistics Theory · Mathematics 2016-06-28 John A. D. Aston , Claudia Kirch

This article deals with the analysis of high dimensional data that come from multiple sources (experiments) and thus have different possibly correlated responses, but share the same set of predictors. The measurements of the predictors may…

Methodology · Statistics 2020-07-01 Guorong Dai , Ursula U. Müller , Raymond J. Carroll