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Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with fewer degrees of freedom in comparison to low-order meshes.…

Mathematical Software · Computer Science 2024-01-30 Ketan Mittal , Veselin A. Dobrev , Patrick Knupp , Tzanio Kolev , Franck Ledoux , Claire Roche , Vladimir Z. Tomov

Under a nonlinear regression model with univariate response an algorithm for the generation of sequential adaptive designs is studied. At each stage, the current design is augmented by adding $p$ design points where $p$ is the dimension of…

Statistics Theory · Mathematics 2023-07-06 Fritjof Freise , Norbert Gaffke , Rainer Schwabe

Many processes of scientific and technological interest are characterized by time scales that render their simulation impossible if one uses present day simulation capabilities. To overcome this challenge a variety of enhanced simulation…

Statistical Mechanics · Physics 2019-02-26 Z. Faidon Brotzakis , Dan Mendels , Michele Parrinello

Optimum experimental design theory has recently been extended for parameter estimation in copula models. However, the choice of the correct dependence structure still requires wider analyses. In this work the issue of copula selection is…

Methodology · Statistics 2016-01-29 Elisa Perrone , Andreas Rappold , Werner G. Müller

Adaptive radar waveform design grounded in information-theoretic principles is critical for advancing cognitive radar performance in complex environments. This paper investigates the optimization of phase-coded waveforms under constant…

Signal Processing · Electrical Eng. & Systems 2025-05-01 Ruofeng Yu , Caiguang Zhang , Chenyang Luo , Mengdi Bai , Shangqu Yan , Wei Yang , Yaowen Fu

Constant dimension codes (CDCs) are essential for error correction in random network coding. A fundamental problem of CDCs is to determine their maximal possible size for given parameters. Inserting construction and multilevel construction…

Information Theory · Computer Science 2025-02-19 Han Li , Fang-Wei Fu

The construction of uniform designs (UDs) has received much attention in computer experiments over the past decades, but most of the previous works obtain uniform designs over a U-type by lattice domain. Due to increasing demands for…

Computation · Statistics 2023-01-26 Jianfa Lai , Kai-Tai Fang , Xiaoling Peng , Yuxuan Lin

In oncology phase I trials, model-assisted designs have been increasingly adopted because they enable adaptive yet operationally simple dose adjustment based on accumulating safety data, leading to a paradigm shift in dose-escalation…

Methodology · Statistics 2026-02-23 Kana Yamada , Hisato Sunami , Kentaro Takeda , Keisuke Hanada , Masahiro Kojima

We develop $D$-optimal designs for linear models with first-order interactions on a subset of the $2^K$ full factorial design region, when both the number of factors set to the higher level and the number of factors set to the lower level…

Statistics Theory · Mathematics 2019-05-14 Fritjof Freise , Rainer Schwabe

Large Language Models (LLMs) are increasingly utilized for domain-specific tasks, yet evaluating their outputs remains challenging. A common strategy is to apply evaluation criteria to assess alignment with domain-specific standards, yet…

Human-Computer Interaction · Computer Science 2026-02-17 Annalisa Szymanski , Simret Araya Gebreegziabher , Oghenemaro Anuyah , Ronald A. Metoyer , Toby Jia-Jun Li

Tremendous variation in the scale of people/head size is a critical problem for crowd counting. To improve the scale invariance of feature representation, recent works extensively employ Convolutional Neural Networks with multi-column…

Computer Vision and Pattern Recognition · Computer Science 2019-09-18 Zhi-Qi Cheng , Jun-Xiu Li , Qi Dai , Xiao Wu , Jun-Yan He , Alexander Hauptmann

Nowadays, more and more clinical trials choose combinational agents as the intervention to achieve better therapeutic responses. However, dose-finding for combinational agents is much more complicated than single agent as the full order of…

Applications · Statistics 2022-08-05 Shu Wang , Ji-Hyun Lee

We consider the problem of constructing optimal designs for model discrimination between competing regression models. Various new properties of optimal designs with respect to the popular $T$-optimality criterion are derived, which in many…

Statistics Theory · Mathematics 2009-08-14 Holger Dette , Stefanie Titoff

Higher-order exceptional points in non-Hermitian systems have recently been used as a tool to engineer high-sensitivity devices, attracting tremendous attention from multidisciplinary fields. Here, we present a simple yet effective scheme…

Optics · Physics 2022-08-31 Ambaresh Sahoo , Amarendra K. Sarma

The growing availability of observational databases like electronic health records (EHR) provides unprecedented opportunities for secondary use of such data in biomedical research. However, these data can be error-prone and need to be…

Methodology · Statistics 2024-05-28 Sarah C. Lotspeich , Gustavo G. C. Amorim , Pamela A. Shaw , Ran Tao , Bryan E. Shepherd

Large-scale overlapping problems are prevalent in practical engineering applications, and the optimization challenge is significantly amplified due to the existence of shared variables. Decomposition-based cooperative coevolution (CC)…

Neural and Evolutionary Computing · Computer Science 2024-04-17 Maojiang Tian , Mingke Chen , Wei Du , Yang Tang , Yaochu Jin

Multilevel models (mixed-effect models or hierarchical linear models) are now a standard approach to analysing clustered and longitudinal data in the social, behavioural and medical sciences. This review article focuses on multilevel linear…

Methodology · Statistics 2019-07-16 George Leckie

Various deep learning (DL) methods have recently been utilized to detect software vulnerabilities. Real-world software vulnerability datasets are rare and hard to acquire, as there is no simple metric for classifying vulnerability. Such…

Software Engineering · Computer Science 2025-04-29 Seyed Shayan Daneshvar , Da Tan , Shaowei Wang , Carson Leung

We study approaches to robust model-based design of experiments in the context of maximum-likelihood estimation. These approaches provide robustification of model-based methodologies for the design of optimal experiments by accounting for…

Methodology · Statistics 2021-09-03 Anwesh Reddy Gottu Mukkula , Michal Mateáš , Miroslav Fikar , Radoslav Paulen

We combine the advantages of the adaptive and multilevel approaches, proposed previously by the authors, to propose a new method that preserves both, parallel scalability with increasing number of subdomains and excellent convergence…

Numerical Analysis · Mathematics 2014-07-17 Bedřich Sousedík , Jan Mandel