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Information-Theoretic Foundations for Machine Learning
Information-Theoretic Foundations for Machine Learning
Information-Theoretic Foundations for Machine Learning

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자료유형  
 학위논문 서양
최종처리일시  
20260202104850
ISBN  
9798288817090
DDC  
519.2
저자명  
Jeon, Hong Jun.
서명/저자  
Information-Theoretic Foundations for Machine Learning
발행사항  
[Sl] : Stanford University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
120 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
주기사항  
Advisor: Sadigh, Dorsa;Van Roy, Benjamin.
학위논문주기  
Thesis (Ph.D.)--Stanford University, 2025.
초록/해제  
요약The progress of machine learning over the past decade is undeniable. In retrospect, it is both remarkable and unsettling that this progress was achievable with little to no rigorous theory to guide experimentation. Despite this fact, practitioners have been able to guide their future experimentation via observations from previous large-scale empirical investigations. However, alluding to Plato's Allegory of the cave, it is likely that the observations which form the field's notion of reality are but shadows representing fragments of that reality. In this work, we propose a theoretical framework which attempts to answer what exists outside of the cave. To the theorist, we provide a framework which is mathematically rigorous and leaves open many interesting ideas for future exploration. To the practitioner, we provide a framework whose results are simple, and provide intuition to guide future investigations across a wide range of learning paradigms. Concretely, we provide a theoretical framework rooted in Bayesian statistics and Shannon's information theory which is general enough to unify the analysis of many phenomena in machine learning. Our framework characterizes the performance of an optimal Bayesian learner as it learns from a stream of experience. Unlike existing analyses that weaken with increasing data complexity, our theoretical tools provide accurate insights across diverse machine learning settings. Throughout this work, we derive theoretical results and demonstrate their generality by applying them to derive insights specific to multiple settings. These settings range from learning from data which is independently and identically distributed under an unknown distribution, to data which is sequential, to data which exhibits hierarchical structure amenable to meta-learning, and finally to data which is not fully explainable under the learner's beliefs (misspecification). These results are particularly relevant as we strive to understand and overcome increasingly difficult machine learning challenges in this endlessly complex world.
일반주제명  
Probability
일반주제명  
Deep learning
일반주제명  
Information theory
일반주제명  
Neural networks
일반주제명  
Statistics
일반주제명  
Computer science
키워드  
Machine learning
키워드  
Bayesian statistics
키워드  
Meta-learning
기타저자  
Stanford University.
기본자료저록  
Dissertations Abstracts International. 87-01B.
전자적 위치 및 접속  
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MARC

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■035    ▼a(MiAaPQ)Stanfordgx002mv2026
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a519.2
■1001  ▼aJeon,  Hong  Jun.
■24510▼aInformation-Theoretic  Foundations  for  Machine  Learning
■260    ▼a[Sl]▼bStanford  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a120  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-01,  Section:  B.
■500    ▼aAdvisor:  Sadigh,  Dorsa;Van  Roy,  Benjamin.
■5021  ▼aThesis  (Ph.D.)--Stanford  University,  2025.
■520    ▼aThe  progress  of  machine  learning  over  the  past  decade  is  undeniable.  In  retrospect,  it  is  both  remarkable  and  unsettling  that  this  progress  was  achievable  with  little  to  no  rigorous  theory  to  guide  experimentation.  Despite  this  fact,  practitioners  have  been  able  to  guide  their  future  experimentation  via  observations  from  previous  large-scale  empirical  investigations.  However,  alluding  to  Plato's  Allegory  of  the  cave,  it  is  likely  that  the  observations  which  form  the  field's  notion  of  reality  are  but  shadows  representing  fragments  of  that  reality.  In  this  work,  we  propose  a  theoretical  framework  which  attempts  to  answer  what  exists  outside  of  the  cave.  To  the  theorist,  we  provide  a  framework  which  is  mathematically  rigorous  and  leaves  open  many  interesting  ideas  for  future  exploration.  To  the  practitioner,  we  provide  a  framework  whose  results  are  simple,  and  provide  intuition  to  guide  future  investigations  across  a  wide  range  of  learning  paradigms.  Concretely,  we  provide  a  theoretical  framework  rooted  in  Bayesian  statistics  and  Shannon's  information  theory  which  is  general  enough  to  unify  the  analysis  of  many  phenomena  in  machine  learning.  Our  framework  characterizes  the  performance  of  an  optimal  Bayesian  learner  as  it  learns  from  a  stream  of  experience.  Unlike  existing  analyses  that  weaken  with  increasing  data  complexity,  our  theoretical  tools  provide  accurate  insights  across  diverse  machine  learning  settings.  Throughout  this  work,  we  derive  theoretical  results  and  demonstrate  their  generality  by  applying  them  to  derive  insights  specific  to  multiple  settings.  These  settings  range  from  learning  from  data  which  is  independently  and  identically  distributed  under  an  unknown  distribution,  to  data  which  is  sequential,  to  data  which  exhibits  hierarchical  structure  amenable  to  meta-learning,  and  finally  to  data  which  is  not  fully  explainable  under  the  learner's  beliefs  (misspecification).  These  results  are  particularly  relevant  as  we  strive  to  understand  and  overcome  increasingly  difficult  machine  learning  challenges  in  this  endlessly  complex  world.
■590    ▼aSchool  code:  0212.
■650  4▼aProbability
■650  4▼aDeep  learning
■650  4▼aInformation  theory
■650  4▼aNeural  networks
■650  4▼aStatistics
■650  4▼aComputer  science
■653    ▼aMachine  learning
■653    ▼aBayesian  statistics
■653    ▼aMeta-learning
■690    ▼a0800
■690    ▼a0463
■690    ▼a0984
■71020▼aStanford  University.
■7730  ▼tDissertations  Abstracts  International▼g87-01B.
■790    ▼a0212
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359214▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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