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AF: Small: Fundamental Problems in Geometric Data Structures

AF：小：几何数据结构中的基本问题

基本信息

批准号：
1814026
负责人：
Timothy Chan
金额：
$ 50万
依托单位：
University of Illinois at Urbana-Champaign
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-10-01 至 2021-09-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1814026&HistoricalAwards=false
关键词：
AF Small Fundamental Problems Geometric

项目摘要

In today's era of big data, we frequently encounter large amounts of data that are geometric, or that may be represented as points or objects in geometric spaces. There is a growing need for the design of efficient data structures that can process and answer queries about such geometric data quickly. This project focuses on some of the most fundamental and central data structuring problems in computational geometry, and explores new ideas to obtain improved results on these longstanding problems. The research project will be integrated with the development of courses for undergraduate and graduate students that incorporate the latest research findings on geometric data structures.Among the fundamental problems studied are point location and nearest neighbor search. The project will also investigate geometric data structure problems in new settings that arise from modern-day applications, including distance-related problems in high dimensions, distance-related problems concerning unit-disk graphs (frequently used to model ad hoc wireless networks) and other types of geometric graphs, and streaming algorithms that can process high volumes of geometric data quickly with a limited amount of storage space.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

在当今的大数据时代，我们经常遇到大量的几何数据，或者可以表示为几何空间中的点或对象。有一个不断增长的需求，设计高效的数据结构，可以处理和回答查询，这样的几何数据迅速。该项目侧重于计算几何中一些最基本和最核心的数据结构问题，并探索新的想法，以获得这些长期存在的问题的改进结果。该研究项目将与本科生和研究生课程的开发相结合，其中包括几何数据结构的最新研究成果。研究的基本问题包括点定位和最近邻搜索。该项目还将研究现代应用中出现的新设置中的几何数据结构问题，包括高维中与距离相关的问题，与单位圆盘图相关的距离相关问题，（经常用于对自组织无线网络建模）和其他类型的几何图，和流算法，可以用有限的存储空间快速处理大量的几何数据。这个奖项反映了NSF的法定使命，通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

期刊论文数量（22）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Near-Optimal Randomized Algorithms for Selection in Totally Monotone Matrices

DOI：
10.1137/1.9781611976465.89
发表时间：
2021-01
期刊：
影响因子：
0
作者：
Timothy M. Chan
通讯作者：
Timothy M. Chan

Dynamic Generalized Closest Pair: Revisiting Eppstein's Technique

动态广义最近对：重温 Eppstein 的技术

DOI：
10.1137/1.9781611976014.6
发表时间：
2020
期刊：
Proc. SIAM Symposium on Simplicity of Algorithms (SOSA
影响因子：
0
作者：
Chan, Timothy M.
通讯作者：
Chan, Timothy M.

Further Results on Colored Range Searching

DOI：
10.4230/lipics.socg.2020.28
发表时间：
2020-03
期刊：
影响因子：
0
作者：
Timothy M. Chan;Qizheng He;Yakov Nekrich
通讯作者：
Timothy M. Chan;Qizheng He;Yakov Nekrich

More Dynamic Data Structures for Geometric Set Cover with Sublinear Update Time

DOI：
10.4230/lipics.socg.2021.25
发表时间：
2021-03
期刊：
影响因子：
0
作者：
Timothy M. Chan;Qizheng He
通讯作者：
Timothy M. Chan;Qizheng He

Faster Approximation Algorithms for Geometric Set Cover

几何集覆盖的更快近似算法

DOI：
10.4230/lipics.socg.2020.27
发表时间：
2020
期刊：
Proc. Sympos. Computational Geometry (SoCG
影响因子：
0
作者：
Chan, Timothy M.;He, Qizheng
通讯作者：
He, Qizheng

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Timothy Chan其他文献

Theory of Computing

计算理论

DOI：
10.4086/toc
发表时间：
2013
期刊：
影响因子：
0
作者：
Alexandr Andoni;Nikhil Bansal;P. Beame;Giuseppe Italiano;Sanjeev Khanna;Ryan O’Donnell;T. Pitassi;T. Rabin;Tim Roughgarden;Clifford Stein;Rocco Servedio;Amir Abboud;Nima Anari;Ibm Srinivasan Arunachalam;T. J. Watson;Research Center;Petra Berenbrink;Aaron Bernstein;Aditya Bhaskara;Sayan Bhattacharya;Eric Blais;H. Bodlaender;Adam Bouland;Anne Broadbent;Mark Bun;Timothy Chan;Arkadev Chattopadhyay;Xue Chen;Gil Cohen;Dana Dachman;Anindya De;Shahar Dobzhinski;Zhiyi Huang;Ken;Robin Kothari;Marvin Künnemann;Tu Kaiserslautern;Rasmus Kyng;E. Zurich;Sophie Laplante;D. Lokshtanov;S. Mahabadi;Nicole Megow;Ankur Moitra;Technion Shay Moran;Google Research;Christopher Musco;Prasad Raghavendra;Alex Russell;Laura Sanità;Alex Slivkins;David Steurer;Epfl Ola Svensson;Chaitanya Swamy;Madhur Tulsiani;Christos Tzamos;Andreas Wiese;Mary Wootters;Huacheng Yu;Aaron Potechin;Aaron Sidford;Aarushi Goel;Aayush Jain;Abhiram Natarajan;Abhishek Shetty;Adam Karczmarz;Adam O’Neill;Aditi Dudeja;Aditi Laddha;Aditya Krishnan;Adrian Vladu Afrouz;J. Ameli;Ainesh Bakshi;Akihito Soeda;Akshay Krishnamurthy;Albert Cheu;A. Grilo;Alex Wein;Alexander Belov;Alexander Block;Alexander Golovnev;Alexander Poremba;Alexander Shen;Alexander Skopalik;Alexandra Henzinger;Alexandros Hollender;Ali Parviz;Alkis Kalavasis;Allen Liu;Aloni Cohen;Amartya Shankha;Biswas Amey;Bhangale Amin;Coja;Yehudayoff Amir;Zandieh Amit;Daniely Amit;Kumar Amnon;Ta;Beimel Anand;Louis Anand Natarajan;Anders Claesson;André Chailloux;André Nusser;Andrea Coladangelo;Andrea Lincoln;Andreas Björklund;Andreas Maggiori;A. Krokhin;A. Romashchenko;Andrej Risteski;Anirban Chowdhury;Anirudh Krishna;A. Mukherjee;Ankit Garg;Anna Karlin;Anthony Leverrier;Antonio Blanca;A. Antoniadis;Anupam Gupta;Anupam Prakash;A. Singh;Aravindan Vijayaraghavan;Argyrios Deligkas;Ariel Kulik;Ariel Schvartzman;Ariel Shaulker;A. Cornelissen;Arka Rai;Choudhuri Arkady;Yerukhimovich Arnab;Bhattacharyya Arthur Mehta;Artur Czumaj;A. Backurs;A. Jambulapati;Ashley Montanaro;A. Sah;A. Mantri;Aviad Rubinstein;Avishay Tal;Badih Ghazi;Bartek Blaszczyszyn;Benjamin Moseley;Benny Pinkas;Bento Natura;Bernhard Haeupler;Bill Fefferman;B. Mance;Binghui Peng;Bingkai Lin;B. Sinaimeri;Bo Waggoner;Bodo Manthey;Bohdan Kivva;Brendan Lucier Bundit;Laekhanukit Burak;Sahinoglu Cameron;Seth Chaodong Zheng;Charles Carlson;Chen;Chenghao Guo;Chenglin Fan;Chenwei Wu;Chethan Kamath;Chi Jin;J. Thaler;Jyun;Kaave Hosseini;Kaito Fujii;Kamesh Munagala;Kangning Wang;Kanstantsin Pashkovich;Karl Bringmann Karol;Wegrzycki Karteek;Sreenivasaiah Karthik;Chandrasekaran Karthik;Sankararaman Karthik;C. S. K. Green;Larsen Kasturi;Varadarajan Keita;Xagawa Kent Quanrud;Kevin Schewior;Kevin Tian;Kilian Risse;Kirankumar Shiragur;K. Pruhs;K. Efremenko;Konstantin Makarychev;Konstantin Zabarnyi;Krišj¯anis Pr¯usis;Kuan Cheng;Kuikui Liu;Kunal Marwaha;Lars Rohwedder László;Kozma László;A. Végh;L'eo Colisson;Leo de Castro;Leonid Barenboim Letong;Li;Li;L. Roditty;Lieven De;Lathauwer Lijie;Chen Lior;Eldar Lior;Rotem Luca Zanetti;Luisa Sinisclachi;Luke Postle;Luowen Qian;Lydia Zakynthinou;Mahbod Majid;Makrand Sinha;Malin Rau Manas;Jyoti Kashyop;Manolis Zampetakis;Maoyuan Song;Marc Roth;Marc Vinyals;Marcin Bieńkowski;Marcin Pilipczuk;Marco Molinaro;Marcus Michelen;Mark de Berg;M. Jerrum;Mark Sellke;Mark Zhandry;Markus Bläser;Markus Lohrey;Marshall Ball;Marthe Bonamy;Martin Fürer;Martin Hoefer;M. Kokainis;Masahiro Hachimori;Matteo Castiglioni;Matthias Englert;Matti Karppa;Max Hahn;Max Hopkins;Maximilian Probst;Gutenberg Mayank Goswami;Mehtaab Sawhney;Meike Hatzel;Meng He;Mengxiao Zhang;Meni Sadigurski;M. Parter;M. Dinitz;Michael Elkin;Michael Kapralov;Michael Kearns;James R. Lee;Sudatta Bhattacharya;Michal Koucký;Hadley Black;Deeparnab Chakrabarty;C. Seshadhri;Mahsa Derakhshan;Naveen Durvasula;Nika Haghtalab;Peter Kiss;Thatchaphol Saranurak;Soheil Behnezhad;M. Roghani;Hung Le;Shay Solomon;Václav Rozhon;Anders Martinsson;Christoph Grunau;G. Z. —. Eth;Zurich;Switzerland;Morris Yau — Massachusetts;Noah Golowich;Dhruv Rohatgi — Massachusetts;Qinghua Liu;Praneeth Netrapalli;Csaba Szepesvári;Debarati Das;Jacob Gilbert;Mohammadtaghi Hajiaghayi;Tomasz Kociumaka;B. Saha;K. Bringmann;Nick Fischer — Weizmann;Ce Jin;Yinzhan Xu — Massachusetts;Virginia Vassilevska Williams;Yinzhan Xu;Josh Alman;Kevin Rao;Hamed Hatami;—. XiangMeng;McGill University;Edith Cohen;Xin Lyu;Tamás Jelani Nelson;Uri Stemmer — Google;Research;Daniel Alabi;Pravesh K. Kothari;Pranay Tankala;Prayaag Venkat;Fred Zhang;Samuel B. Hopkins;Gautam Kamath;Shyam Narayanan — Massachusetts;Marco Gaboardi;R. Impagliazzo;Rex Lei;Satchit Sivakumar;Jessica Sorrell;T. Korhonen;Marco Bressan;Matthias Lanzinger;Huck Bennett;Mahdi Cheraghchi;V. Guruswami;João Ribeiro;Jan Dreier;Nikolas Mählmann;Sebastian Siebertz — TU Wien;The Randomized k ;Conjecture Is;False;Sébastien Bubeck;Christian Coester;Yuval Rabani — Microsoft;Wei;Ethan Mook;Daniel Wichs;Joshua Brakensiek;Sai Sandeep — Stanford;University;Lorenzo Ciardo;Stanislav Živný;Amey Bhangale;Subhash Khot;Dor Minzer;David Ellis;Guy Kindler;Noam Lifshitz;Ronen Eldan;Dan Mikulincer;George Christodoulou;E. Koutsoupias;Annamária Kovács;José Correa;Andrés Cristi;Xi Chen;Matheus Venturyne;Xavier Ferreira;David C. Parkes;Yang Cai;Jinzhao Wu;Zhengyang Liu;Zeyu Ren;Zihe Wang;Ravishankar Krishnaswamy;Shi Li;Varun Suriyanarayana
通讯作者：
Varun Suriyanarayana

The aim of belief

信仰的目的

DOI：
发表时间：
2013
期刊：
影响因子：
0
作者：
Timothy Chan
通讯作者：
Timothy Chan

Moore’s Paradox is not just another pragmatic paradox

DOI：
10.1007/s11229-008-9403-x
发表时间：
2008-10-15
期刊：
SYNTHESE
影响因子：
1.300
作者：
Timothy Chan
通讯作者：
Timothy Chan

Ultrafast disinfection of SARS-CoV-2 viruses

SARS-CoV-2 病毒的超快速消毒

DOI：
发表时间：
2022
期刊：
影响因子：
0
作者：
Yang Xu;A. Chin;Haosong Zhong;Connie Lee;Yi Chen;Timothy Chan;Z. Fan;Molong Duan;Leo L. M. Poon;Mitch Guijun Li
通讯作者：
Mitch Guijun Li

P-330 The third-generation genetic engineered mouse model of late-stage multiple myeloma

DOI：
10.1016/s2152-2650(23)01948-1
发表时间：
2023-09-01
期刊：
Conference abstract
影响因子：
作者：
Jianhong Lin;Mohsin Maqbool;Kylin Emhoff;Tyler Alban;Hanna Hong;Eric Irons;Wanying Zhang;Rie Maeda;Sarah Ondrejka;Megan Nakashima;Faiz Anwer;Jason Valent;Jennifer Yu;Timothy Chan;Justin Lathia;Jianjun Zhao
通讯作者：
Jianjun Zhao