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A $k$-plane of a $d$-dimensional array is a subarray formed by fixing $d-k$ coordinates and allowing the remaining $k$ coordinates to vary freely. A Latin hypercube of dimension $d$ and order $n$ is an $n\times n\times\cdots\times n$ array…

Combinatorics · Mathematics 2026-05-05 Billy Child , Ian M. Wanless

A framework for designing and analyzing computer experiments is presented, which is constructed for dealing with functional and real number inputs and real number outputs. For designing experiments with both functional and real number…

Methodology · Statistics 2014-10-03 Thomas Muehlenstaedt , Jana Fruth , Olivier Roustant

Faced with complex and unstructured construction environments, wheeled and tracked robots exhibit significant limitations in terrain adaptability and flexibility, making it difficult to meet the requirements of autonomous operation.…

Robotics · Computer Science 2025-07-23 Xiao Liu , Xianlong Yang , Weijun Wang , Wei Feng

Linear algebra algorithms are used widely in a variety of domains, e.g machine learning, numerical physics and video games graphics. For all these applications, loop-level parallelism is required to achieve high performance. However,…

Machine Learning · Computer Science 2020-01-24 G. Laberge , S. Shirzad , P. Diehl , H. Kaiser , S. Prudhomme , A. Lemoine

We consider the problem of determining the optimal block (or subsample) size for a spatial subsampling method for spatial processes observed on regular grids. We derive expansions for the mean square error of the subsampling variance…

Statistics Theory · Mathematics 2007-06-13 Daniel J. Nordman , Soumendra N. Lahiri

The uniform sampling of convex regions in high dimension is an important computational issue, from both theoretical and applied point of view. The hit-and-run montecarlo algorithms are the most efficient methods known to perform it and one…

Statistical Mechanics · Physics 2015-06-18 G. De Concini , D. De Martino

Sliced Stein discrepancy (SSD) and its kernelized variants have demonstrated promising successes in goodness-of-fit tests and model learning in high dimensions. Despite their theoretical elegance, their empirical performance depends…

Machine Learning · Computer Science 2021-07-22 Wenbo Gong , Kaibo Zhang , Yingzhen Li , José Miguel Hernández-Lobato

Optimally selecting a subset of targets from a larger catalog is a common problem in astronomy and cosmology. A specific example is the selection of targets from an imaging survey for multi-object spectrographic follow-up. We present a new…

Astrophysics · Physics 2009-11-11 E. C. Elson , B. A. Bassett , K. van der Heyden , Z. Z. Vilakazi

Hybrid Solid-State Drives (SSDs), which integrate several types of flash cells (e.g., single-level cell (SLC) and multiple-level cell (MLC)) in a single drive and enable them to convert between each other, are designed to deliver both high…

Hardware Architecture · Computer Science 2025-03-18 Qian Wei , Yi Li , Zehao Chen , Zhaoyan Shen , Dongxiao Yu , Bingzhe Li

In this paper, we introduce some new hybrid algorithms for finding a solution of a system of equilibrium problems. In these algorithms, by constructing specially cutting-halfspaces, we avoid using the extra-steps as in the extragradient…

Optimization and Control · Mathematics 2015-10-29 Dang Van Hieu

The distributed operating room (OR) scheduling problem aims to find an assignment of surgeries to ORs across collaborating hospitals that share their waiting lists and ORs. We propose a stochastic extension of this problem where surgery…

Optimization and Control · Mathematics 2020-10-06 Cheng Guo , Merve Bodur , Dionne M. Aleman , David R. Urbach

Many biological and physical systems exhibit behaviour at multiple spatial, temporal or population scales. Multiscale processes provide challenges when they are to be simulated using numerical techniques. While coarser methods such as…

Quantitative Methods · Quantitative Biology 2018-02-12 Cameron A. Smith , Christian A. Yates

We consider the problem of estimating an SU(d) quantum operation when n copies of it are available at the same time. It is well known that, if one uses a separable state as the input for the unitaries, the optimal mean square error will…

Quantum Physics · Physics 2007-05-23 Manuel A. Ballester

An $n\times n\times\dots\times n$ hypercube is made from $n^d$ unit hypercubes. Two unit hypercubes are neighbours if they share a $(d-1)$-dimensional face. In each step of a dismantling process, we remove a unit hypercube that has…

Combinatorics · Mathematics 2026-03-26 János Barát , Ian M. Wanless

Three-dimensional integrated circuits (3D ICs) have emerged as a promising solution to the scaling limits of two-dimensional designs, offering higher integration density, shorter interconnects, and improved performance. As design complexity…

Robotics · Computer Science 2025-09-30 Hung-Ying Chu , Guan-Wei Chen , Shao-Yu Wei , Yu-Cheng Lin

The LHC accelerator complex will be upgraded between 2020-2022, to the High-Luminosity-LHC, to considerably increase statistics for the various physics analyses. To operate under these challenging new conditions, and maintain excellent…

Instrumentation and Detectors · Physics 2015-04-09 C. Nellist , N. Dinu , E. Gkougkousis , A. Lounis

We identify locally $D$-optimal crossover designs for generalized linear models. We use generalized estimating equations to estimate the model parameters along with their variances. To capture the dependency among the observations coming…

Methodology · Statistics 2020-01-20 Jeevan Jankar , Abhyuday Mandal , Jie Yang

The numerical performance of algorithms can be studied using test sets or procedures that generate such problems. This paper proposes various methods for generating linear, semidefinite, and second-order cone optimization problems.…

Optimization and Control · Mathematics 2023-02-03 Mohammadhossein Mohammadisiahroudi , Ramin Fakhimi , Brandon Augustino , Tamás Terlaky

In this paper, we give a method for constructing linear codes with small hulls by generalizing the method in \cite{LCD-T-matric}. As a result, we obtain many optimal Euclidean LCD codes and Hermitian LCD codes, which improve the previously…

Information Theory · Computer Science 2022-04-12 Shitao Li

In this talk we show that any spherically symmetric spacetime admits locally a maximal spacelike slicing. The above condition is reduced to solve a decoupled system of first order quasi-linear partial differential equations. The solution…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Isabel Cordero-Carrión , José María Ibáñez , Juan Antonio Morales-Lladosa
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