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Simulation design is the choice of locations in parameter space at which simulations are to be run and is the first step in building an emulator capable of quickly providing estimates of simulation results for arbitrary locations in the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Michael D. Schneider , Oskar Holm , Lloyd Knox

Flow-matching generative models are increasingly used to simulate cell responses to biological perturbations. However, the design space for building such models is large and underexplored. We systematically analyse the design space of flow…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Charles Jones , Emmanuel Noutahi , Jason Hartford , Cian Eastwood

This paper introduces a numerical method to enclose the global minimum of a nonlinear function subject to simple bounds on the variables. Using interval analysis, coupled with the computational power and architecture of graphics processing…

Numerical Analysis · Mathematics 2026-04-15 Guanglu Zhang , Qihang Shan , Jonathan Cagan

Approximating integrals is a fundamental task in probability theory and statistical inference, and their applied fields of signal processing, and Bayesian learning, as soon as expectations over probability distributions must be computed…

Statistics Theory · Mathematics 2026-05-06 Solal Martin , Emilie Chouzenoux , Victor Elvira

Machine learning and optimization algorithms have been widely applied in the design and optimization for photonic devices. In this article, we briefly review recent progress of this field of research and show some data-driven applications…

Optics · Physics 2020-07-15 Tian Zhang , Qi Liu , Yihang Dan , Shuai Yu , Xu Han , Jian Dai , Kun Xu

Computer experiments with quantitative and qualitative inputs are widely used to study many scientific and engineering processes. Much of the existing work has focused on design and modeling or process optimization for such experiments.…

Methodology · Statistics 2025-04-30 A. Shahrokhian , X. Deng , C. D. Lin , P. Ranjan , L. Xu

Dynamic mechanical metamaterials (MMs) are artificial media composed of periodic micro-structures, designed to manipulate wave propagation. Modeling and designing these materials can be computationally demanding due to the broad design…

Applied Physics · Physics 2023-07-04 Weidi Wang , Alireza Amirkhizi

Unimodular sequences with good auto/cross-correlation properties are favorable in wireless communication and radar applications. In this paper, we focus on designing these kinds of sequences. The main content is as follows: first, we…

Signal Processing · Electrical Eng. & Systems 2019-07-16 Yongchao Wang , Jiangtao Wang

In this paper, we design constant modulus probing waveforms with good correlation properties for collocated multi-input multi-output (MIMO) radar systems. The main content is as follows: first, we formulate the design problem as a fourth…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Jiangtao Wang , Yongchao Wang

This paper discusses the problem of determining optimal designs for regression models, when the observations are dependent and taken on an interval. A complete solution of this challenging optimal design problem is given for a broad class…

Methodology · Statistics 2015-02-25 Holger Dette , Andrey Pepelyshev , Anatoly Zhigljavsky

A standard objective in computer experiments is to approximate the behaviour of an unknown function on a compact domain from a few evaluations inside the domain. When little is known about the function, space-filling design is advisable:…

Statistics Theory · Mathematics 2018-09-03 Luc Pronzato , Anatoly Zhigljavsky

In common real-world robotic operations, action and state spaces can be vast and sometimes unknown, and observations are often relatively sparse. How do we learn the full topology of action and state spaces when given only few and sparse…

Machine Learning · Computer Science 2019-07-16 Lingzhi Zhang , Andong Cao , Rui Li , Jianbo Shi

A general-purpose, self-adapting Monte Carlo (MC) algorithm implemented in the program {\tt Foam} is described. The high efficiency of the MC, that is small maximum weight or variance of the MC weight is achieved by means of dividing the…

Computational Physics · Physics 2009-11-07 S. Jadach

Dynamic magnetic resonance image reconstruction from incomplete k-space data has generated great research interest due to its capability to reduce scan time. Never-theless, the reconstruction problem is still challenging due to its…

Image and Video Processing · Electrical Eng. & Systems 2022-12-16 Chuanming Yu , Yu Guan , Ziwen Ke , Dong Liang , Qiegen Liu

Algorithms which compute locally optimal continuous designs often rely on a finite design space or on repeatedly solving a complex non-linear program. Both methods require extensive evaluations of the Jacobian Df of the underlying model.…

Methodology · Statistics 2021-01-18 Philipp Seufert , Jan Schwientek , Michael Bortz

Computer simulators are nowadays widely used to understand complex physical systems in many areas such as aerospace, renewable energy, climate modeling, and manufacturing. One fundamental issue in the study of computer simulators is known…

Methodology · Statistics 2019-02-05 Feng Yang , C. Devon Lin , Pritam Ranjan

Mechanical metamaterials represent an innovative class of artificial structures, distinguished by their extraordinary mechanical characteristics, which are beyond the scope of traditional natural materials. The use of deep generative models…

Signal Processing · Electrical Eng. & Systems 2024-07-31 Zihan Wang , Anindya Bhaduri , Hongyi Xu , Liping Wang

We develop, analyze, implement, and compare new algorithms for creating $\varepsilon$-samples of range spaces defined by halfspaces which have size sub-quadratic in $1/\varepsilon$, and have runtime linear in the input size and…

Computational Geometry · Computer Science 2018-07-19 Michael Matheny , Jeff M. Phillips

Pi Fractions are used to create deterministic uniformly distributed pseudorandom decision space sample points for a global search and optimization algorithm. These fractions appear to be uniformly distributed on [0,1] and can be used in any…

Other Computer Science · Computer Science 2014-03-18 Richard A. Formato

Diffusion models are emerging expressive generative models, in which a large number of time steps (inference steps) are required for a single image generation. To accelerate such tedious process, reducing steps uniformly is considered as an…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Lijiang Li , Huixia Li , Xiawu Zheng , Jie Wu , Xuefeng Xiao , Rui Wang , Min Zheng , Xin Pan , Fei Chao , Rongrong Ji
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