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Neural Dynamics for Science: The Symbiosis of Deep Graph Learning and Differential Equations
Neural Dynamics for Science: The Symbiosis of Deep Graph Learning and Differential Equations
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152005
- ISBN
- 9798382837741
- DDC
- 004
- 저자명
- Huang, Zijie.
- 서명/저자
- Neural Dynamics for Science: The Symbiosis of Deep Graph Learning and Differential Equations
- 발행사항
- [Sl] : University of California, Los Angeles, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 159 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
- 주기사항
- Advisor: Sun, Yizhou;Wang, Wei.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Los Angeles, 2024.
- 초록/해제
- 요약Many scientific problems require a deep understanding of internal structures and complex dynamics, spanning physical interactions within molecules, brain networks, and beyond. These problems can be formulated as modeling interacting dynamical systems using graphs, which represent entities as nodes and their relationship as edges. Traditionally, the dynamics of interacting systems are described by ordinary differential equations (ODEs), offering continuous and interpretable solutions but requiring significant domain expertise. Recent data-driven approaches such as Graph Neural Networks (GNNs) learn system dynamics from observational data, which however, struggle with long-term predictions and irregular observations due to their discrete dynamics.My research aims to develop novel frameworks that bridge these two worlds, i.e. combining the learning power of neural networks (NNs) with the symbolic knowledge encoded in ODEs. In contrast with discrete models, such methods provide a principled approach to model continuous dynamical systems, from synthetic simulations to real-world scenarios like brain network analysis and COVID-19 prediction. Building upon this, I have further strengthened its power in three key areas: 1.) integrating data-driven inductive biases like energy conservation law; 2.) enhancing generalization ability; 3.) enabling causal decision-making. By merging deep graph learning with differential equations, I believe my research will pave the way for breakthroughs in symbolic deep learning for scientific discovery.
- 일반주제명
- Computer science
- 일반주제명
- Computer engineering
- 키워드
- COVID-19
- 키워드
- Brain networks
- 기타저자
- University of California, Los Angeles Computer Science 0201
- 기본자료저록
- Dissertations Abstracts International. 85-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211152005
■006m o d
■007cr#unu||||||||
■020 ▼a9798382837741
■035 ▼a(MiAaPQ)AAI31330475
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a004
■1001 ▼aHuang, Zijie.
■24510▼aNeural Dynamics for Science: The Symbiosis of Deep Graph Learning and Differential Equations
■260 ▼a[Sl]▼bUniversity of California, Los Angeles▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a159 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-12, Section: B.
■500 ▼aAdvisor: Sun, Yizhou;Wang, Wei.
■5021 ▼aThesis (Ph.D.)--University of California, Los Angeles, 2024.
■520 ▼aMany scientific problems require a deep understanding of internal structures and complex dynamics, spanning physical interactions within molecules, brain networks, and beyond. These problems can be formulated as modeling interacting dynamical systems using graphs, which represent entities as nodes and their relationship as edges. Traditionally, the dynamics of interacting systems are described by ordinary differential equations (ODEs), offering continuous and interpretable solutions but requiring significant domain expertise. Recent data-driven approaches such as Graph Neural Networks (GNNs) learn system dynamics from observational data, which however, struggle with long-term predictions and irregular observations due to their discrete dynamics.My research aims to develop novel frameworks that bridge these two worlds, i.e. combining the learning power of neural networks (NNs) with the symbolic knowledge encoded in ODEs. In contrast with discrete models, such methods provide a principled approach to model continuous dynamical systems, from synthetic simulations to real-world scenarios like brain network analysis and COVID-19 prediction. Building upon this, I have further strengthened its power in three key areas: 1.) integrating data-driven inductive biases like energy conservation law; 2.) enhancing generalization ability; 3.) enabling causal decision-making. By merging deep graph learning with differential equations, I believe my research will pave the way for breakthroughs in symbolic deep learning for scientific discovery.
■590 ▼aSchool code: 0031.
■650 4▼aComputer science
■650 4▼aComputer engineering
■653 ▼aGraph Neural Networks
■653 ▼aOrdinary differential equations
■653 ▼aCOVID-19
■653 ▼aDeep graph learning
■653 ▼aBrain networks
■690 ▼a0984
■690 ▼a0464
■71020▼aUniversity of California, Los Angeles▼bComputer Science 0201.
■7730 ▼tDissertations Abstracts International▼g85-12B.
■790 ▼a0031
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17162378▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.


