{"title":"Experimental Design for Any p-Norm","authors":"L. Lau, Robert Wang, Hong Zhou","doi":"10.48550/arXiv.2305.01942","DOIUrl":null,"url":null,"abstract":"We consider a general $p$-norm objective for experimental design problems that captures some well-studied objectives (D/A/E-design) as special cases. We prove that a randomized local search approach provides a unified algorithm to solve this problem for all $p$. This provides the first approximation algorithm for the general $p$-norm objective, and a nice interpolation of the best known bounds of the special cases.","PeriodicalId":54319,"journal":{"name":"Spin","volume":"2015 1","pages":"4:1-4:21"},"PeriodicalIF":1.3000,"publicationDate":"2023-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Spin","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.48550/arXiv.2305.01942","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We consider a general $p$-norm objective for experimental design problems that captures some well-studied objectives (D/A/E-design) as special cases. We prove that a randomized local search approach provides a unified algorithm to solve this problem for all $p$. This provides the first approximation algorithm for the general $p$-norm objective, and a nice interpolation of the best known bounds of the special cases.
SpinMaterials Science-Electronic, Optical and Magnetic Materials
CiteScore
2.10
自引率
11.10%
发文量
34
期刊介绍：
Spin electronics encompasses a multidisciplinary research effort involving magnetism, semiconductor electronics, materials science, chemistry and biology. SPIN aims to provide a forum for the presentation of research and review articles of interest to all researchers in the field.
The scope of the journal includes (but is not necessarily limited to) the following topics:
*Materials:
-Metals
-Heusler compounds
-Complex oxides: antiferromagnetic, ferromagnetic
-Dilute magnetic semiconductors
-Dilute magnetic oxides
-High performance and emerging magnetic materials
*Semiconductor electronics
*Nanodevices:
-Fabrication
-Characterization
*Spin injection
*Spin transport
*Spin transfer torque
*Spin torque oscillators
*Electrical control of magnetic properties
*Organic spintronics
*Optical phenomena and optoelectronic spin manipulation
*Applications and devices:
-Novel memories and logic devices
-Lab-on-a-chip
-Others
*Fundamental and interdisciplinary studies:
-Spin in low dimensional system
-Spin in medical sciences
-Spin in other fields
-Computational materials discovery
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