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Shape is commonly used to distinguish between categories in multi-class scatterplots. However, existing guidelines for choosing effective shape palettes rely largely on intuition and do not consider how these needs may change as the number…

Human-Computer Interaction · Computer Science 2024-10-18 Chin Tseng , Arran Zeyu Wang , Ghulam Jilani Quadri , Danielle Albers Szafir

Symmetry plays a fundamental role in design of experiments. In particular, symmetries of factorial designs that preserve their statistical properties are exploited to find designs with the best statistical properties. By using a result…

Combinatorics · Mathematics 2021-04-23 Andrew J. Geyer , Dursun A. Bulutoglu , Steven J. Rosenberg

Microplate-based 'omic studies of large clinical cohorts can massively accelerate biomedical research, but experimental power and veracity may be negatively impacted when plate positional effects confound clinical variables of interest.…

Quantitative Methods · Quantitative Biology 2026-01-09 Avigail Taylor , Micah P. Fletcher

A rank-invariant clustering of variables is introduced that is based on the predictive strength between groups of variables, i.e., two groups are assigned a high similarity if the variables in the first group contain high predictive…

Methodology · Statistics 2023-12-29 Sebastian Fuchs , Yuping Wang

Grouping structures arise naturally in many statistical modeling problems. Several methods have been proposed for variable selection that respect grouping structure in variables. Examples include the group LASSO and several concave group…

Statistics Theory · Mathematics 2013-01-07 Jian Huang , Patrick Breheny , Shuangge Ma

We consider the problem of designing experiments for investigating particle in-flight properties in thermal spraying. Observations are available on an extensive design for an initial day and thereafter in limited number for any particular…

Applications · Statistics 2013-12-17 Holger Dette , Laura Hoyden , Sonja Kuhnt , Kirsten Schorning

It is shown how by not losing information on higher order interactions, optimal paired comparison designs involving alternatives of either full or partial profiles to reduce information overload as frequently encountered in applications can…

Methodology · Statistics 2019-12-04 Eric Nyarko

Spaces with locally varying scale of measurement, like multidimensional structures with differently scaled dimensions, are pretty common in statistics and machine learning. Nevertheless, it is still understood as an open question how to…

Machine Learning · Statistics 2024-03-05 Christoph Jansen , Georg Schollmeyer , Hannah Blocher , Julian Rodemann , Thomas Augustin

In psychological research often paired comparisons are used in which either full or partial profiles of the alternatives described by a common set of two-level attributes are presented. For this situation the problem of finding optimal…

Methodology · Statistics 2019-08-20 Eric Nyarko

Assembling parts into an object is a combinatorial problem that arises in a variety of contexts in the real world and involves numerous applications in science and engineering. Previous related work tackles limited cases with identical unit…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Jinhwi Lee , Jungtaek Kim , Hyunsoo Chung , Jaesik Park , Minsu Cho

Designing real and virtual garments is becoming extremely demanding with rapidly changing fashion trends and increasing need for synthesizing realistic dressed digital humans for various applications. This necessitates creating simple and…

Graphics · Computer Science 2018-07-17 Tuanfeng Y. Wang , Duygu Ceylan , Jovan Popovic , Niloy J. Mitra

We present algorithms and data structures that support the interactive analysis of the grouping structure of one-, two-, or higher-dimensional time-varying data while varying all defining parameters. Grouping structures characterise…

Computational Geometry · Computer Science 2016-03-22 Arthur van Goethem , Marc van Kreveld , Maarten Löffler , Bettina Speckmann , Frank Staals

Unrolled networks have become prevalent in various computer vision and imaging tasks. Although they have demonstrated remarkable efficacy in solving specific computer vision and computational imaging tasks, their adaptation to other…

Image and Video Processing · Electrical Eng. & Systems 2025-01-13 Eric Chen , Xi Chen , Arian Maleki , Shirin Jalali

In a mixture experiment, we study the behavior and properties of $m$ mixture components, where the primary focus is on the proportions of the components that make up the mixture rather than the total amount. Mixture-amount experiments are…

Methodology · Statistics 2025-10-29 Taha Hasan , Touqeer Ahmad

Gradient-based inverse design in photonics has already achieved remarkable results in designing small-footprint, high-performance optical devices. The adjoint variable method, which allows for the efficient computation of gradients, has…

Most existing theoretical investigations of the accuracy of diffusion models, albeit significant, assume the score function has been approximated to a certain accuracy, and then use this a priori bound to control the error of generation.…

Machine Learning · Computer Science 2024-10-29 Yuqing Wang , Ye He , Molei Tao

Given a reference model that includes all the available variables, projection predictive inference replaces its posterior with a constrained projection including only a subset of all variables. We extend projection predictive inference to…

Computation · Statistics 2021-09-13 Alejandro Catalina , Paul Bürkner , Aki Vehtari

Sparse modelling or model selection with categorical data is challenging even for a moderate number of variables, because one parameter is roughly needed to encode one category or level. The Group Lasso is a well known efficient algorithm…

Methodology · Statistics 2022-11-14 Szymon Nowakowski , Piotr Pokarowski , Wojciech Rejchel , Agnieszka Sołtys

Additive regression models are actively researched in the statistical field because of their usefulness in the analysis of responses determined by non-linear relationships with multivariate predictors. In this kind of statistical models,…

Applications · Statistics 2018-03-14 German A. Schnaidt Grez , Brani Vidakovic

A common approach in computational science is to use a set of of highly precise but expensive calculations to parameterize a model that allows less precise, but more rapid calculations on larger scale systems. Least-squares fitting on a…

Materials Science · Physics 2015-05-13 Eric Cockayne , Axel van de Walle