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In the present paper we construct plans orthogonal through the block factor (POTBs). We describe procedures for adding blocks as well as factors to an initial plan and thus generate a bigger plan. Using these procedures we construct POTBs…

Other Statistics · Statistics 2020-12-24 Sunanda Bagchi

The projection construction has been used to construct semifields of odd characteristic using a field and a twisted semifield [Commutative semifields from projection mappings, Designs, Codes and Cryptography, 61 (2011), 187--196]. We…

Combinatorics · Mathematics 2016-03-02 Stephen M. Gagola , Joanne L. Hall

First-order fully implicit as well as implicit--explicit schemes for coupled elliptic-parabolic systems are discussed in [Ern and Meunier, ESAIM: M2AN, 2009] and [Altmann et al., Math.\ Comp., 2021], respectively. The extension of the…

Numerical Analysis · Mathematics 2026-01-06 Georgios Akrivis , Minghua Chen , Fan Yu

Semi-parallel, or folded, VLSI architectures are used whenever hardware resources need to be saved at design time. Most recent applications that are based on Projective Geometry (PG) based balanced bipartite graph also fall in this…

Hardware Architecture · Computer Science 2012-08-07 Hrishikesh Sharma , Sachin Patkar

The component-by-component construction is the standard method of finding good lattice rules or polynomial lattice rules for numerical integration. Several authors have reported that in numerical experiments the generating vector sometimes…

Numerical Analysis · Mathematics 2015-06-29 Josef Dick , Peter Kritzer

In the architectural design process, floor plan generation is inherently progressive and iterative. However, existing generative models for floor plans are predominantly end-to-end generation that produce an entire pixel-based layout in a…

Computation and Language · Computer Science 2025-08-05 Jun Yin , Pengyu Zeng , Jing Zhong , Peilin Li , Miao Zhang , Ran Luo , Shuai Lu

Simultaneously utilizing several complementary solvers is a simple yet effective strategy for solving computationally hard problems. However, manually building such solver portfolios typically requires considerable domain knowledge and…

Artificial Intelligence · Computer Science 2018-04-18 Shengcai Liu , Ke Tang , Xin Yao

The standard method for constructing generating vectors for good lattice point sets is the component-by-component construction. Numerical experiments have shown that the generating vectors found by these constructions sometimes tend to have…

Numerical Analysis · Mathematics 2015-12-16 Helene Laimer

Constant dimension codes (CDCs) have become an important object in coding theory due to their application in random network coding. The multilevel construction is one of the most effective ways to construct constant dimension codes. The…

Information Theory · Computer Science 2025-11-03 Dengming Xu , Mengmeng LI

Hybrid model predictive control (MPC) with both continuous and discrete variables is widely applicable to robotic control tasks, especially those involving contact with the environment. Due to the combinatorial complexity, the solving speed…

Robotics · Computer Science 2023-10-12 Xuan Lin

Unitary designs are essential tools in several quantum information protocols. Similarly to other design concepts, unitary designs are mainly used to facilitate averaging over a relevant space, in this case, the unitary group…

Quantum Physics · Physics 2026-02-25 Ágoston Kaposi , Zoltán Kolarovszki , Adrián Solymos , Zoltán Zimborás

Generalized Class Discovery (GCD) aims to dynamically assign labels to unlabelled data partially based on knowledge learned from labelled data, where the unlabelled data may come from known or novel classes. The prevailing approach…

Machine Learning · Computer Science 2024-05-01 Ye Wang , Yaxiong Wang , Yujiao Wu , Bingchen Zhao , Xueming Qian

This paper introduces a novel approach for the construction of bulk--surface splitting schemes for semi-linear parabolic partial differential equations with dynamic boundary conditions. The proposed construction is based on a reformulation…

Numerical Analysis · Mathematics 2023-07-06 R. Altmann , C. Zimmer

A $k$-regular graph on $v$ vertices is a {\em divisible design graph} if there exist integers $\lambda_1,\lambda_2,m,n$ such that the vertex set can be partitioned into $m$ classes of size $n$ and any two different vertices from the same…

Combinatorics · Mathematics 2025-02-19 Vladislav V. Kabanov

A method is developed here for building differentiable three-dimensional manifolds on multicube structures. This method constructs a sequence of reference metrics that determine differentiable structures on the cubic regions that serve as…

Numerical Analysis · Mathematics 2022-04-13 Lee Lindblom , Oliver Rinne , Nicholas W. Taylor

Verification is one of the central tasks during circuit design. While most of the approaches have exponential worst-case behaviour, in the following techniques are discussed for proving polynomial circuit verification based on Binary…

Hardware Architecture · Computer Science 2021-04-08 Rolf Drechsler

We propose a method to construct a variety of partition identities at once. The main application is an all-moduli generalization of some of Andrews' results in [5]. The novelty is that the method constructs solutions to functional equations…

Combinatorics · Mathematics 2013-02-28 Kağan Kurşungöz

Pairwise difference learning (PDL) has recently been introduced as a new meta-learning technique for regression. Instead of learning a mapping from instances to outcomes in the standard way, the key idea is to learn a function that takes…

Machine Learning · Computer Science 2024-07-01 Mohamed Karim Belaid , Maximilian Rabus , Eyke Hüllermeier

Symmetrization of topologically ordered wavefunctions is a powerful method for constructing new topological models. Here, we study wavefunctions obtained by symmetrizing quantum double models of a group $G$ in the Projected Entangled Pair…

Strongly Correlated Electrons · Physics 2016-10-06 Carlos Fernandez-Gonzalez , Roger S. K. Mong , Olivier Landon-Cardinal , David Perez-Garcia , Norbert Schuch

A design-based individual prediction approach is developed based on the expected cross-validation results, given the sampling design and the sample-splitting design for cross-validation. Whether the predictor is selected from an ensemble of…

Machine Learning · Statistics 2023-01-24 Li-Chun Zhang , Danhyang Lee