面向计算优化的纯数学:结构、算法与效率博士研究员
Pure mathematics for computational optimization: structure, algorithms and efficiency
原帖优先:申请材料、截止时间与资格以原帖和学校官方说明为准。
博士招生与资助公告
- 申请年度
- 2027;原帖说明:How to apply Apply now You need to: • choose programme type (Research), 2027/28, Faculty of Engineering and Physical Sciences • select Full time or Part time • search for programme PhD Computer Science (7089) • add name of the supervisor in section 2 of the application Applications should include: • your CV (resumé) • 2 academic references • degree transcripts and certificates to date • English language qualification (if applicable)
- 最近申请截止
- 2027-05-31
- 全部申请截止
- (Europe/London)
- 资助原文
- Fees and funding We offer a range of funding opportunities for both UK and international students. Horizon Europe fee waivers automatically cover the difference between overseas and UK fees for qualifying students. Competition-based Presidential Bursaries from the University cover the difference between overseas and UK fees for top-ranked applicants. Competition-based studentships offered by our schools typically cover UK-level tuition fees and a stipend for living costs for top-ranked applicants. Funding will be awarded on a rolling basis, so apply early for the best opportunity to be considered. For more information, please visit our postgraduate research funding pages.
- 资助条件
- 原帖为竞争性或附条件资助说明,未确认本项目获资助及申请人能获奖;不作为保证全奖。
- 原帖材料说明
- • your CV (resumé)
- • 2 academic references
- • degree transcripts and certificates to date
- • English language qualification (if applicable)
确定性信息来自对应版本的完整原帖。原帖只提供日期,日末和学校当地时区为本站转换假设。筛选使用最后申请截止;资助与录取以学校审核结果为准。
AI 中文速览
- 研究内容
- 该博士项目利用纯数学的思想来为机器学习、工程和数据科学创建更快、更可靠的优化算法,探索如何利用纯数学来改进应用数学、机器学习和工程中数学优化算法的设计、分析、抽象和计算效率。具体的数学方向具有灵活性,可根据学生背景和兴趣塑造,可能的方向包括变分分析与非光滑优化、泛函分析与单调算子方法、用于不确定性感知的随机分析、约束优化的偏微分方程技术、用于信号和反问题的调和分析、用于优化和控制的凸几何与代数几何、基于图的信息检索的离散拓扑,或持久同调与拓扑数据分析。
- 申请条件
- 申请人必须拥有英国 2:1 荣誉学位或其国际同等学历,强烈偏好纯数学专业。必须具备深厚的数学背景、数学成熟度以及参与计算问题的意愿;无需编程经验,有限的编码经验即可。
- 待遇
- 学校为英国本土及国际学生提供一系列资助机会,包括地平线欧洲学费减免、竞争性的校级总统奖学金(覆盖海外与英国本土学费差额)以及学院提供的竞争性奖学金(通常涵盖英国本土学费及生活费津贴)。资助以滚动方式颁发。
- 申请方式
- 申请人需选择项目类型(Research)、2027/28学年、工程与物理科学学院,选择全职或兼职,搜索项目 PhD Computer Science (7089),并在申请表的第二部分添加导师姓名。
- 材料清单
- 个人简历 (CV)
- 2 封学术推荐信
- 至今的学位成绩单和证书
- 英语语言资格证明(如适用)
由 gemini-2.5-flash-lite 生成,博士岗判定置信度 100%。
岗位信息
- 最终轮次截止
- 2027-05-31
- 学科
- 数学
- 合同类型
- 项目资助
- 本站收录
- 内容更新
- 导师
- Andersen Ang
- 来源
- 南安普顿大学博士研究项目招生 · 最近核对 2026-10-10
- 详情核验
判定依据(原文摘录)
- is_phd为true
Type of degree Doctor of Philosophy
- english_ok为false
English language qualification (if applicable)
- bachelor_ok为false
You must have a UK 2:1 honours degree, or its international equivalent, pure mathematics is strongly preferred.
原文
View all current projects
Postgraduate research project
Pure mathematics for computational optimization: structure, algorithms and efficiency
Funding
Competition funded
Competition funded
View fees and funding
Type of degree
Doctor of Philosophy
Entry requirements
2:1 honours degree
2:1 honours degree
View full entry requirements
Faculty graduate school
Faculty of Engineering and Physical Sciences
Closing date
31 May 2027
On this page
About the project
Potential supervisors
Entry requirements
Fees and funding
How to apply
Contact us
About the project
Potential supervisors
Entry requirements
Fees and funding
How to apply
Contact us
About the project
This PhD project uses ideas from pure mathematics to create faster and more reliable optimization algorithms for machine learning, engineering and data science. It is especially suited to mathematically trained students who want to move into computational research, even with little programming experience.
The PhD project explores how ideas from pure mathematics can be drawn upon to improve the design, analysis, abstraction and computational efficiency of mathematical optimization algorithms arising in applied mathematics, machine learning and engineering.
The specific mathematical direction is flexible and will be shaped by the student’s background and interests. Possible directions include variational analysis and nonsmooth optimization; functional analysis and monotone operator methods; stochastic analysis for uncertainty-aware optimization; PDE techniques for constrained optimization; harmonic analysis for signal and inverse problems; convex and algebraic geometry for optimization and control; discrete topology for graph-based information retrieval; and persistent homology or topological data analysis.
The central emphasis is computational rather than purely theoretical. Pure mathematics is used as a source of structure, abstraction and analytical tools that can lead to faster algorithms, stronger convergence guarantees, improved numerical stability, dimensional reduction, or more efficient representations of optimization problems. The aim is to translate mathematical structure into concrete computational advantage.
This project is suited to students with training in pure mathematics who wish to transition towards applied or computational mathematics related to optimization or machine learning. Prior programming experience is not essential; limited coding experience is acceptable. A strong mathematical background, mathematical maturity, and willingness to engage with computational problems are more important.
The School of Engineering is committed to promoting equality, diversity inclusivity as demonstrated by our Athena SWAN award. We welcome all applicants regardless of their gender, ethnicity, disability, sexual orientation or age, and will give full consideration to applicants seeking flexible working patterns and those who have taken a career break. The University has a generous maternity policy, onsite childcare facilities, and offers a range of benefits to help ensure employees’ well-being and work-life balance. The University of Southampton is committed to sustainability and has been awarded the Platinum EcoAward.
Potential supervisors
Lead supervisor
Dr Andersen Ang
Lecturer
Research interests
• Mathematical programming / optimisation algorithm
• Nonnegative Matrix/Tensor factorisation
• Machine Learning
Entry requirements
You must have a UK 2:1 honours degree, or its international equivalent, pure mathematics is strongly preferred.
You must have:
• a strong mathematical background
• mathematical maturity
• willingness to engage with computational problems
Prior programming experience is not essential.
Limited coding experience is acceptable.
Fees and funding
We offer a range of funding opportunities for both UK and international students. Horizon Europe fee waivers automatically cover the difference between overseas and UK fees for qualifying students.
Competition-based Presidential Bursaries from the University cover the difference between overseas and UK fees for top-ranked applicants.
Competition-based studentships offered by our schools typically cover UK-level tuition fees and a stipend for living costs for top-ranked applicants.
Funding will be awarded on a rolling basis, so apply early for the best opportunity to be considered.
For more information, please visit our postgraduate research funding pages.
How to apply
Apply now
You need to:
• choose programme type (Research), 2027/28, Faculty of Engineering and Physical Sciences
• select Full time or Part time
• search for programme PhD Computer Science (7089)
• add name of the supervisor in section 2 of the application
Applications should include:
• your CV (resumé)
• 2 academic references
• degree transcripts and certificates to date
• English language qualification (if applicable)
Contact us
Faculty of Engineering and Physical Sciences
For questions about applying, email our Doctoral College: doctoralcollege-admissions@soton.ac.uk.
Project leader
For an initial conversation, email Dr Andersen Ang (andersen.ang@soton.ac.uk).