Department of Statistics and Data Science
Course List -- IN PLANNING for Fall 2025/Spring 2026

• Organizational Meeting for all SPRING term courses whose times are not listed below: TBD.
• Those interested in attending one of the courses but unable to be present at this meeting should inform Jay Emerson beforehand and submit their schedules.
• Courses numbered 600 or above (such as Stat 610a) are intended primarily for graduate students. If such a course does not have an undergraduate cross-listing, undergraduates should consult with the instructor.
• Tables of class times: FALL and SPRING
• Course lists for other years:
     1994-95    1995-96    1996-97    1997-98    1998-99    1999-00    2000-01    2001-02    2002-03    2003-04    2004-05    2005-06    2006-07    2007-08    2008-09    2009-10    2010-11    2011-12    2012-13    2013-14    2014-15    2015-16    2016-17    2017-18    2018-19    2019-20    2020-21    2021-22    2022-23    2023-24    2024-25    [this year] .
  These pages are not being updated; some of the links may no longer be working.
• Director of Undergraduate Studies: Sekhar Tatikonda and Brian Macdonald
• Director of Graduate Studies: Jay Emerson and Zhou Fan

Neural Data Analysis (S&DS 280/580)

Instructor: Ethan Meyers
Time: Tues, Thurs 2:30 - 3:45
Place: TBD
Course description: In this class we will discuss data analysis methods that are used in the neuroscience community. Methods that we will discuss include classical descriptive and inferential statistics, point process models, mutual information measures, machine learning (neural decoding) analyses, dimensionality reduction methods, and representational similarity analyses. Each week we will read a research paper that uses one of these methods, and we will replicate these analyses using the R programming language. The emphasis of the courses will be on analyzing neural spiking data, although we will also discuss other imaging modalities such as magneto/electro-encephalography (EEG/MEG), two-photon imaging, and possibility functional magnetic resonance imaging data (fMRI). Data we will analyze include smaller datasets, such as single neuron recordings from songbird vocal motor system, as well as larger data sets, such as the Allen Brain observatory’s simultaneous recordings from the mouse visual system. Experience using programming to analyze data is required, and background in basic neuroscience is recommended.

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Introductory Statistics (S&DS 100b/500b)

Instructor: Ethan Meyers
Time: Tues, Thurs 2:30-3:45
Place: TBD
An introduction to statistical reasoning. Topics include numerical and graphical summaries of data, data acquisition and experimental design, probability, hypothesis testing, confidence intervals, correlation and regression. Application of statistical concepts to data; analysis of real-world problems. A faster-paced version of this course with a higher level of computing is being created: See STAT 220a.

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Introduction to Statistics (S&DS 100 (plus legacy numbers))

Instructor: Jonathan Reuning-Scherer
Time: Tues, Thurs 1:00-2:15
Place: YSB MARSH
Webpage:  http://www.stat.yale.edu/Courses/QR/stat101106.html
A basic introduction to statistics, including numerical and graphical summaries of data, probability, hypothesis testing, confidence intervals, and regression. Each course focuses on applications to a particular field of study and is taught jointly by two instructors, one specializing in statistics and the other in the relevant area of application. The first seven weeks of classes are attended by all students in STAT 101-106 together, as general concepts and methods of statistics are developed. The remaining weeks are divided into field-specific sections that develop the concepts with examples and applications. Computers are used for data analysis. These courses are alternatives; they do not form a sequence and only one may be taken for credit. No prerequisites beyond high school algebra. May not be taken after STAT 100 or 109.

Students enrolled in STAT 101-106 who wish to change to STAT 109, or those enrolled in STAT 109 who wish to change to STAT 101-106, must submit a course change notice, signed by the instructor, to their residential college dean by Friday, September 28. The approval of the Committee on Honors and Academic Standing is not required.

NEW for Fall 2019: S&DS 108: Introduction to Statistics: Advanced Fundamentals is available and allows students to earn 1/2 credit for completing one of the field-specific courses during the second half of the semester.

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Introduction to Statistics: Life Sciences (S&DS 101a/501a E&EB 210aG/MCDB 215a)

Instructor: Jonathan Reuning-Scherer and Walter Jetz
Time: Tues, Thurs 1:00-2:15
Place: OML 202
Statistical and probabilistic analysis of biological problems presented with a unified foundation in basic statistical theory. Problems are drawn from genetics, ecology, epidemiology, and bioinformatics.

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Introduction to Statistics: Political Science (S&DS 102a/502a EP&E 203a/PLSC 425a)

Instructor: Jonathan Reuning-Scherer
Time: Tues, Thurs 1:00-2:15
Place: OML 202
Statistical analysis of politics and quantitative assessments of public policies. Problems presented with reference to a wide array of examples: public opinion, campaign finance, racially motivated crime, and health policy.

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Introduction to Statistics: Social Sciences (S&DS 103a/503a SOCY 119a)

Instructor: Jonathan Reuning-Scherer
Time: Tues, Thurs 1:00-2:15
Place: OML 202
Descriptive and inferential statistics applied to analysis of data from the social sciences. Introduction of concepts and skills for understanding and conducting quantitative research.

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Introduction to Statistics: Medicine (S&DS 105a/505a)

Instructor: Jonathan Reuning-Scherer and Ethan Meyers
Time: Tues, Thurs 1:00-2:15
Place: OML 202
Statistical methods used in medicine and medical research. Practice in reading medical literature competently and critically, as well as practical experience performing statistical analysis of medical data.

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Introduction to Statistics: Data Analysis (S&DS 106a/506a)

Instructor: Jonathan Reuning-Scherer and Bob Wooster
Time: Tues, Thurs 1:00-2:15
Place: 
An introduction to Probability and Statistics with emphasis on data analysis.

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Introduction to Statistics: Advanced Fundamentals (S&DS 108a)

Instructor: Jonathan Reuning-Scherer
Time: Tues, Thurs 1:00-2:15
Place: TBD
More advanced concepts and methods in statistics. Meets for the second half of the term only. May not be taken after STAT 100 or after completing 101-106 or after more advanced coursework.

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Introduction to Statistics: Fundamentals (S&DS 109a)

Instructor: Jonathan Reuning-Scherer
Time: Tues, Thurs 1:00-2:15
Place: OML 202
General concepts and methods in statistics. Meets for the first half of the term only. May not be taken after STAT 100 or 101-106.

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R for Statistical Computing and Data Science (S&DS 110/510)

Instructor: Jay Emerson
Time: Mon, Wed 2:30-3:45
Place: TEAL?
This will now be revived as a full-credit course. It will have a limited number of seats for Yale College students, and will include graduate students from S&DS. The class provides an intensive introduction to programming with the R statistical language, based on the S language developed at Bell Labs by John Chambers and Richard Becker. It has become the accepted language for advanced statistical computing and data science in both industry and a wide range of academic disciplines.

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[ Statistics and Data Science Computing Laboratory (1/2 credit) (S&DS 110b/510b) ]

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An Introduction to R? for Statistical Computing and Data Science (1 credit?) (S&DS 110/510a)

Instructor: Elena Khusainova
Time: TBD
Place: TBD
This is a 1/2 credit course that meets for the first 7 weeks of the semester. The class provides an introduction to the R statistical language, based on the S language developed at Bell Labs by John Chambers and Richard Becker. It has become the accepted language for advanced statistical computing and data sciencei in both industry and a wide range of academic disciplines.

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YData (S&DS 123b)

Instructor: Yuejie Chi
Time: Tues, Thurs 2:30-3:45
Place: TBD
Computational, programming, and statistical skills are no longer optional in our increasingly data-driven world; these skills are essential for opening doors to manifold research and career opportunities. This course aims to dramatically enhance knowledge and capabilities in fundamental ideas and skills in data science, especially computational and programming skills along with inferential thinking. YData is an introduction to Data Science that emphasizes the development of these skills while providing opportunities for hands-on experience and practice. YData is accessible to students with little or no background in computing, programming, or statistics, but is also engaging for more technically oriented students through extensive use of examples and hands-on data analysis. Python 3, a popular and widely used computing language, is the language used in this course. The computing materials will be hosted on a special purpose web server.

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YData (S&DS 123a)

Instructor: Ethan Meyers
Time: Tues, Thurs 2:30-3:45
Place: TBD
Computational, programming, and statistical skills are no longer optional in our increasingly data-driven world; these skills are essential for opening doors to manifold research and career opportunities. This course aims to dramatically enhance knowledge and capabilities in fundamental ideas and skills in data science, especially computational and programming skills along with inferential thinking. YData is an introduction to Data Science that emphasizes the development of these skills while providing opportunities for hands-on experience and practice. YData is accessible to students with little or no background in computing, programming, or statistics, but is also engaging for more technically oriented students through extensive use of examples and hands-on data analysis. Python 3, a popular and widely used computing language, is the language used in this course. The computing materials will be hosted on a special purpose web server.

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Foreign Assistance to Sub-Saharan Africa: Archival Data Analysis (S&DS 138b/AFST 378/EVST 378/AFST 570)

Instructor: Russell Barbour
Time: TBD
Place: TBD

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Data Science Ethics (S&DS 150)

Instructor: TBD (?)
Time: Mon 9:25-11:15
Place: TBD
Needed.

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[ YData: Text Data Science: An Introduction (S&DS 171b/571b) ]

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YData: Data Science for Political Campaigns (S&DS 172b/572b PLSC347b/524b)

Instructor: Joshua Kalla
Time: Wed 1:30-3:20
Place: TBD
Political campaigns have become increasingly data driven. Data science is used to inform where campaigns compete, which messages they use, how they deliver them, and among which voters. In this course, we explore how data science is being used to design winning campaigns. Students gain an understanding of what data is available to campaigns, how campaigns use this data to identify supporters, and the use of experiments in campaigns. This course provides students with an introduction to political campaigns, an introduction to data science tools necessary for studying politics, and opportunities to practice the data science skills presented in S&DS 123, YData. Prerequisite: S&DS 123, which may be taken concurrently. 0.5 Yale College course credit(s)

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YData: Analysis of Baseball Data (S&DS 173b/573b)

Instructor: Ethan Meyers
Time: TBD
Place: TBD
Prerequisite: S&DS 123, which may be taken concurrently.

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[ YData: Statistics in the Media (S&DS 174b/574b) ]

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YData: Measuring Culture (S&DS 175b/575b)

Instructor: Daniel Karell
Time: Tues, Thurs 1:30-2:20
Place: TBD
Prerequisite: Please check the syllabus..

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YData: Humanities Data Mining (S&DS 176b/576b)

Instructor: Peter Leonard
Time: Tues, Thurs 1:00-2:15
Place: TBD
Prerequisite: S&DS 123, which may be taken concurrently.

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[ YData: COVID-19 Behavior (S&DS 177b/577b) ]

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YData: Foundations of Sociogenomics (S&DS 178/578 SOCY 362)

Instructor: Ramina Sotoudeh
Time: Wed 1:00-3:20
Place: TBD

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YData: Data Science Applications in Insurance (S&DS 179)

Instructor: Perry Beaumont
Time: Mon, Wed 9:00-10:15
Place: TBD

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Data Science Applications in Banking (S&DS 180)

Instructor: Perry Beaumont
Time: Mon, Wed 9:00-10:15
Place: TBD

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Data Science for Environmental Metrics (S&DS 181)

Instructor: Zach Wendling
Time: TBD
Place: TBD

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Intensive Introductory Statistics and Data Science (S&DS 220b/520b)

Instructor: Bob Wooster
Time: Tues, Thurs 9:00-10:15
Place: TBD
Introduction to statistical reasoning for students with particular interest in data science and computing. Using the R language, topics include exploratory data analysis, probability, hypothesis testing, confidence intervals, regression, statistical modeling, and simulation. Computing taught and used extensively, as well as application of statistical concepts to analysis of real-world data science problems. MATH 115 is helpful, but not required.

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YData: Dice, Data, and Decisions (S&DS 224)

Instructor: Bob Wooster
Time: Tues, Thurs 4:00-5:15
Place: 

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Data Exploration and Analysis (S&DS 230/530 PLSC 530)

Instructor: Ethan Meyers
Time: Tues, Thurs 9:00-10:15
Place: ML 211
Survey of statistical methods: plots, transformations, regression, analysis of variance, clustering, principal components, contingency tables, and time series analysis. The R computing language and Web data sources are used. After STAT 100 or the equivalent or with permission from the instructor; students without prior coursework in statistics should take STAT 100, 10X, or 200.

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Data Exploration and Analysis (S&DS 230b/530b PLSC 530b)

Instructor: Jonathan Reuning-Scherer
Time: Tues, Thurs 9:00-10:15
Place: TBD
Survey of statistical methods: plots, transformations, regression, analysis of variance, clustering, principal components, contingency tables, and time series analysis. The R computing language and Web data sources are used. After STAT 100 or the equivalent or with permission from the instructor; students from STAT 200 may be permitted in 230 but are encouraged to take 361 and/or 325.

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Probability and Bayesian Statistics (S&DS 238/538)

Instructor: Bob Wooster
Time: Tues, Thurs 1:00-2:15
Place: 17HLH 101 - TEAL
Fundamental principles and techniques of probabilistic thinking, statistical modeling, and data analysis. Essentials of probability, including conditional probability, random variables, distributions, law of large numbers, central limit theorem, and Markov chains. Statistical inference with emphasis on the Bayesian approach: parameter estimation, likelihood, prior and posterior distributions, Bayesian inference using Markov chain Monte Carlo. Introduction to regression and linear models. Computers are used for calculations, simulations, and analysis of data.

Prerequisite: knowledge of single variable calculus is assumed. Some brief acquaintance with multivariable calculus (e.g. double integrals) and matrices would also be helpful but are not required.
Extra: STAT 238 Extra Session,  Tues 6:30-8:00,  24 Hillhouse

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[ Theory of Probability and Statistics (S&DS 239a/539a) ]

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Probability for Data Science (S&DS 240/540)

Instructor: Bob Wooster
Time: Tues, Thurs 11:35-12:50
Place: ML 211
Introduction to probability theory, not for the major.

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Probability Theory with Applications (S&DS 241/541 MATH 241)

Instructor: Sinho Chewi
Time: Mon, Wed 9:00-10:15
Place: DAVIES AUD
Introduction to probability theory. Topics include probability spaces, random variables, expectations and probabilities, conditional probability, independence, discrete and continuous distributions, central limit theorem, Markov chains, and probabilistic modeling.
Extra: STAT 241 TA Session,  Thurs 6:30-7:30,  24 Hillhouse

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Theory of Statistics (S&DS 242b/542b)

Instructor: Zhou Fan
Time: Mon, Wed 2:30-3:45
Place: TBD
Study of the principles of statistical analysis. Topics include maximum likelihood, sampling distributions, estimation, confidence intervals, tests of significance, regression, analysis of variance, and the method of least squares. Some statistical computing.

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Computational Tools for Data Science (S&DS 262/562)

Instructor: Roy Lederman
Time: Mon, Wed 1:00-2:15 (change?)
Place: TBD
Assumes math chops and some type of programming.

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Introductory Machine Learning (S&DS 265/565)

Instructor: John Lafferty
Time: TBD
Place: WLH 201
BRAINSTORMING: Fewer mathematical prerequisites, for the certificate and not for the major?

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Deep Learning, 265-565-level? (S&DS 266/566)

Instructor: unclear
Time: Tues, Thurs 4:00-5:15
Place: TBD

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Linear Models (S&DS 312/612)

Instructor: Zongming Ma
Time: Mon, Wed 2:30-3:45
Place: DL 220
The geometry of least squares; distribution theory for normal errors; regression, analysis of variance, and designed experiments; numerical algorithms, with particular reference to the R statistical language.

After STAT 242 and MATH 222 or 225.

No final exam.

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Introduction to Causal Inference (S&DS 314b)

Instructor: Winston Lin
Time: Tues, Thurs 4:00-5:15
Place: TBD
Introduction to causal inference with applications to the social and health sciences. Topics include randomized experiments, matching and propensity score methods, sensitivity analysis, instrumental variables, and regression discontinuity designs. Mathematical problems, data analysis in R, and critical discussions of published applied research.

Prerequisite: S&DS 242 and some programming experience in R.

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Measuring Impact and Opinion Change (S&DS 315a/PLSC 340a)

Instructor: Josh Kalla?
Time: TBD
Place: TBD

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Topics in the Design and Analysis of Experiments (S&DS 316a/516a)

Instructor: Winston Lin
Time: 
Place: 

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Applied Machine Learning and Causal Inference (S&DS 317b/517b)

Instructor: P Aronow
Time: Thurs 4:00-5:50
Place: TBD
Undergrad and graduate number needed.

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Stochastic Processes (S&DS 351b/551b)

Instructor: Ilias Zadik
Time:  Mon, Wed 1:00-2:15
Place: TBD
Introduction to the study of random processes, including Markov chains, Markov random fields, martingales, random walks, Brownian motion, and diffusions. Techniques in probability, such as coupling and large deviations. Applications chosen from image reconstruction, Bayesian statistics, finance, probabilistic analysis of algorithms, and genetics and evolution.

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Biomedical Data Science, Mining and Modeling (S&DS 352/MCDB 452)

Instructor: Mark Gerstein and Matthew Simon
Time: Mon, Wed 1:00-2:15
Place: 

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Data Analysis (S&DS 361b/661b)

Instructor: Brian Macdonald
Time: Tues, Thurs 2:30-3:45
Place: TBD
Selected topics in statistics explored through analysis of data sets using the R statistical computing language. Topics include linear and nonlinear models, maximum likelihood, resampling methods, curve estimation, model selection, classification, and clustering.

After or concurrently with STAT 242 and MATH 222 or 225, or equivalents.

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Multivariate Statistics for Social Sciences (S&DS 363b/563b)

Instructor: Jonathan Reuning-Scherer
Time: Tues, Thurs 1:00-2:15
Place: TBD
Introduction to the analysis of multivariate data as applied to examples from the social sciences. Topics include principal components analysis, factor analysis, cluster analysis (hierarchical clustering, k-means), discriminant analysis, multidimensional scaling, and structural equations modeling. Extensive computer work using either SAS or SPSS programming software.

Prerequisites: knowledge of basic inferential procedures and experience with linear models.

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Information Theory (S&DS 364b/664b)

Instructor: Yihong Wu
Time: Tues, Thurs 11:35-12:50
Place: TBD
Foundations of information theory in mathematical communications, statistical inference, statistical mechanics, probability, and algorithmic complexity. Quantities of information and their properties: entropy, conditional entropy, divergence, redundancy, mutual information, channel capacity. Basic theorems of data compression, data summarization, and channel coding. Applications in statistics and finance. After Statistics 241.

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Intermediate Machine Learning (S&DS 365/665)

Instructor: John Lafferty
Time: Mon, Wed 1:00 - 2:15
Place: LC 101
S&DS 365 is a second course in machine learning at the advanced undergraduate or beginning graduate level. The course assumes familiarity with the basic ideas and techniques in machine learning, for example as covered in S&DS 265. The course treats methods together with mathematical frameworks that provide intuition and justifications for how and when the methods work. Assignments give students hands-on experience with machine learning techniques, to build the skills needed to adapt approaches to new problems. Topics include nonparametric regression and classification, kernel methods, risk bounds, nonparametric Bayesian approaches, graphical models, attention and language models, generative models, sparsity and manifolds, and reinforcement learning. Programming is central to the course, and is based on the Python programming language and Jupyter notebooks.

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Intermediate Machine Learning (S&DS 365b/665b)

Instructor: Omar Montasser
Time: TBD
Place: TBD
Techniques for data mining and machine learning are covered from both a statistical and a computational perspective, including support vector machines, bagging, boosting, neural networks, and other nonlinear and nonparametric regression methods. The course will give the basic ideas and intuition behind these methods, a more formal understanding of how and why they work, and opportunities to experiment with machine learning algorithms and apply them to data. After STAT 242b.

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[ Design and Analysis of Algorithms (CPSC 365b) ]

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Advanced Probability (S&DS 400/600 MATH 330)

Instructor: Shuangping Li
Time: Tues, Thurs 2:30-3:45
Place: WTS A51
Measure theoretic probability, conditioning, laws of large numbers, convergence in distribution, characteristic functions, central limit theorems, martingales. Some knowledge of real analysis is assumed.

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Statistical Inference (S&DS 410/610)

Instructor: Theodor Misiakiewicz
Time: Tues, Thurs 11:35-12:50
Place: LUCE 202
A systematic development of the mathematical theory of statistical inference covering methods of estimation, hypothesis testing, and confidence intervals. An introduction to statistical decision theory. Undergraduate probability at the level of Statistics 241a assumed.

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Statistical Case Studies (S&DS 425/625)

Instructor: Jay Emerson
Time: Fri 9:25-11:15
Place: TBD
Statistical analysis of a variety of statistical problems using real data. Emphasis on methods of choosing data, acquiring data, assessing data quality, and the issues posed by extremely large data sets. Extensive computations using R. This is a seminar of limited size but this iteration gives priority to graduate students. A final project is required. S&DS or Applied Math majors who previously took Statistical Case Studies are not permitted to take this course.

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Statistical Case Studies (S&DS 425)

Instructor: Brian Macdonald
Time: Tues, Thurs 2:30-3:45
Place: 17HLH 111
Webpage:  https://classesv2.yale.edu/
Statistical analysis of a variety of statistical problems using real data. Emphasis on methods of choosing data, acquiring data, assessing data quality, and the issues posed by extremely large data sets. Extensive computations using R. This is a seminar of limited size and is not for capstone credit.

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[ Optimization Techniques (S&DS 430a/630a ENAS 530a EENG 437a ECON 413a) ]

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Indep Study (S&DS 480ab)

Instructor: Staff
Time: -
Place: -
Directed individual study for qualified students who wish to investigate an area of statistics not covered in regular courses. A student must be sponsored by a faculty member who sets the requirements and meets regularly with the student. Enrollment requires a written plan of study approved by the faculty adviser and the director of undergraduate studies.

Permission required. No final Exam.

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[ Senior Seminar and Project (S&DS 490a) ]

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Senior Seminar and Project (S&DS 490b)

Instructor: TBD or not offered
Time: TBD
Place: 24 Hillhouse Room 107
Under the supervision of a member of the faculty, each student works on an independent project. Students participate in seminar meetings at which they speak on the progress of their projects.

Permission required. No final Exam.

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Senior Project (S&DS 491)

Instructor: Brian Macdonald
Time: -
Place: -
Individual research that fulfills the S&DS senior requirement. Requires a faculty adviser and DUS permission. The student must submit a written report about results of the project.

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Senior Project (S&DS 492b)

Instructor: Brian Macdonald
Time: -
Place: -
Individual research that fulfills the S&DS senior requirement. Requires a faculty adviser and DUS permission. The student must submit a written report about results of the project.

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[ Research Design and Causal Inference (PLSC 508a) ]

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Design-Based Inference for the Social Sciences (PLSC 528b)

Instructor: Peter Aronow
Time: Mon 3:30-5:20
Place: TBD
Introduction to design-based statistical approaches to survey sampling and causal inference. Design and analysis of complex survey samples and randomized experiments, including model-assisted approaches. Discussion of recent advances in this paradigm, including inference in network settings. Prerequisite: knowledge of statistical theory at the level of PLSC 500 is assumed, with familiarity with probability and estimation theory. Alternative prerequisite courses include S&DS 542 or ECON 550.

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[ Applied Linear Models (S&DS 531a) ]

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Theory of Statistics (S&DS 542)

Instructor: Harry Zhou (?)
Time: Tues, Thurs 9:00-10:15
Place: 
Principles of statistical analysis: maximum likelihood, sampling distributions, estimation, confidence intervals, tests of significance, regression, analysis of variance, and the method of least squares. Intended for Statistics Masters students; others may be admitted with consent of instructor. After or concurrently with Statistics 541a.

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[ Intensive Algorithms (S&DS 566) ]

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Topics in Deep Learning: Methods and Biomedical Applications (S&DS 567 CB&B 567)

Instructor: Martin Renqiang and Mark Gerstein
Time: Mon 9:00-11:15
Place: TBD
This course provides an introduction to recent developments in deep learning, covering topics ranging from basic backpropagation, optimization, to latest developments in deep generative models and network robustness. Applications in Natural Language Processing and Computer Vision will be used as running examples. Several case studies in biomedical applications will be covered in details.

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Numerical Linear Algebra: Deterministic and randomized algorithms (S&DS 569)

Instructor: Roy Lederman
Time: Mon, Wed 9:00-10:15
Place: TBD
TBD

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Advanced Topics in Probability (S&DS 601)

Instructor: Sekhar Tatikonda
Time: Mon, Wed 1:00-2:15
Place: TBD
TBD

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High-dimensional Probability and Applications (S&DS 602)

Instructor: Zhou Fan
Time: Wed 4:00-6:30
Place: TBD
TBD

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Advanced Stochastic Processes (S&DS 603)

Instructor: Sekhar Tatikonda
Time: Tues, Thurs 2:30-3:45
Place: 
Martingales in continuous time, with applications to the stochastic calculus of semimartingales. If time permits, random trees and other exotic random processes will also be discussed.

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Sampling and optimal transport (S&DS 605)

Instructor: Sinho Chewi (bracket?)
Time: Tues, Thurs 1:00-2:15
Place: TBD
MCMC sampling and variational inference have long been utilized in Bayesian statistics and machine learning; what can we say about the convergence of these methods? Recently, a modern theory has emerged which blends principles from convex optimization with a geometric perspective on the space of probability distributions based on optimal transport. This course provides an introduction to this theory, as well as to related tools used for modern algorithmic analysis: Markov semigroup theory and stochastic calculus, coupling, and functional inequalities. Much of the course focuses on the complexity of log-concave sampling, but we will also discuss applications to diffusion models and variational inference. Prerequisites: advanced probability (400/600 MATH 330); the following are helpful but not required: optimization (431/631, 432b/632b); stochastic processes (351b/551b).

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Selected Topics in Statistical Decision Theory (S&DS 411a/611b)

Instructor: TBD
Time: Mon 9:25-11:15
Place: TBD
In this course we will review some recent developments in statistical decision theory including nonparametric estimation, high dimensional (non)linear estimation, low rank and sparse matrices estimation, covariance matrices estimation, graphical models, and network analysis.

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Theory and Practice of Quantitative Methods (S&DS 614 PLSC 503)

Instructor: Melody Huang
Time: Mon, Wed 10:30-11:20
Place: TBD

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[ Introduction to Random Matrix Theory and Applications (S&DS 615b) ]

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Causal Inference and Research Design (S&DS 616 PLSC 508)

Instructor: P Aronow
Time: Thurs 4:00-5:50
Place: TBD
Research seminar

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Advances in Large Language Models: Theory and Applications (S&DS 617)

Instructor: Jas Sekhon
Time: Mon 1:30-3:20
Place: TBD
Research seminar, graduate number needed.

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Asymptotic Statistics (S&DS 618)

Instructor: Zongming Ma
Time: TBD
Place: TBD

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Statistical Case Studies (S&DS 625)

Instructor: Brian Macdonald
Time: Tues, Thurs 1:00-2:15
Place: 17HLH 101 - TEAL
Webpage:  https://classesv2.yale.edu/
Statistical analysis of a variety of statistical problems using real data. Emphasis on methods of choosing data, acquiring data, assessing data quality, and the issues posed by extremely large data sets. Extensive computations using R. Limited size, with permission from the instructor required. This course is likely limited to MS students in S&DS.

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Practical Work (S&DS 626ab)

Instructor: DGS
Time: -
Place: -
Individual one-semester projects, with students working on studies outside the Department, under the guidance of a statistician. This course is a one-credit requirement for the Ph.D. degree.

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Statistical Consulting (S&DS 627a/628b)

Instructor: Jay Emerson
Time: Fri 2:30-4:30
Place: 24 Hillhouse
Webpage:  http://www.stat.yale.edu/~jay/627.html
Statistical consulting and collaborative research projects often require statisticians to explore new topics outside their area of expertise. This course exposes students to real problems, requiring them to draw on their expertise in probability, statistics, and data analysis. Students complete the course with individual projects supervised jointly by faculty outside the department and by one of the instructors. Students enroll for both terms and receive one credit at the end of the year.

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Computation and Optimization (S&DS 431/631)

Instructor: TBD
Time: Tues, Thurs 1:00-2:15
Place: TBD

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Advanced Optimization Techniques (S&DS 432b/632b)

Instructor: Sinho Chewi
Time: Tues, Thurs 1:00-2:15
Place: TBD

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Statistical Methods in Computational Biology (S&DS 645b/BIS 692b/CB&B 692)

Instructor: Hongyu Zhao
Time: Thurs 10:00-11:50
Place: TBD
Probability modeling and statistical methodology for the analysis of human genetics data are presented. Topics include population genetics, single locus and polygenic inheritance, linkage analysis, genome-wide association studies, quantitative trait locus analysis, rare variant analysis, and genetic risk predictions. Offered every other year. Prerequisite: EPH 505 and BIS 505, or equivalents, and permission from the instructor.

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Markov chains for sampling and optimization (S&DS 652a)

Instructor: Andrew Barron
Time: Tues, Thurs 1:00 - 2:15
Place: 

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Mathematics of Deep Learning (S&DS 659)

Instructor: Theodor Misiakiewicz
Time: Wed 4:00-5:50
Place: TBD

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Statistical Computing (S&DS 662)

Instructor: Jay Emerson (rethink)
Time: Tues, Thurs 4:00-5:15
Place: 17HLH 101 - TEAL
Topics in the practice of data analysis and statistical computing, with particular attention to problems involving massive data sets or large, complex simulations and computations. Progamming with R, C/C++, and Python, computational efficiency, memory management, interactive and dynamic graphics, and parallel computing.

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Spectral Graph Theory (CPSC 462/562)

Instructor: Dan Spielman
Time: Mon, Wed 2:30-3:45
Place: TBD
An applied approach to spectral graph theory. The combinatorial meaning of the eigenvalues and eigenvectors of matrices associated with graphs. Applications to optimization, numerical linear algebra, error-correcting codes, computational biology, and the discovery of graph structure.

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Computational Mathematics for Data Science (S&DS 663)

Instructor: Roy Lederman
Time: TBD
Place: TBD
Using a computer to analyze data? Will the computer ever finish processing? Will the result be junk? Will you recognize that it is junk? We will discuss the difference between math on paper and math on a computer and the difference between programming and mathematical programming. The primary approach to our investigation will be making mistakes and analyzing them. We will experience benign mathematical operations failing catastrophically without telling us. We will experience equivalent operations taking anywhere between a fraction of a second and a lifetime. We will practice survival techniques for this harsh environment. We will discuss topics in numerical computation, complexity, programming, and prototyping. Assignments include theory, programming, data analysis, individual work, and collaborative work. We will use C (and/or FORTRAN) and Python or Julia. This is not a programming course or a course in debugging. Prerequisites: linear algebra, multivariate calculus, and some experience in programming (any language). Instructor permission is required.

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[ Probabilistic Networks, Algorithms, and Applications (S&DS 667a) ]

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[ Nonparametric Estimation and Machine Learning (S&DS 468b) ]

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Statistical Learning Theory (S&DS 669)

Instructor: Omar Montasser
Time: Tues 4:00-5:50
Place: 24 Hillhouse
Introduction to theoretical analysis of machine learning algorithms. Focus on the statistical and computational aspects. Will cover subjects such as decision theory, empirical process theory, and convex optimization. Prerequisites linear algebra, multivariable calculus, stochastic processes, and introduction to machine learning such as Stat 365b or a similar course.

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Theory of Deep Learning (S&DS 670a)

Instructor: Andrew Barron
Time: Mon, Wed 9:00-10:15
Place: 24 Hillhouse
Deep neural networks and related statistical learning theory are developed for high-dimensional function estimation and classification. Complexity, approximation capability, statistical accuracy, penalized least squares and stochastic optimization are explored. Students will be expected to propose a topic of investigation (e.g. of literature or computational or theoretical exploration of discussed methods) and to provide a final report. This course is intended for students with background in probability, statistics, and computation.

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[ Topics on Random Graphs (MATH 670) ]

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[ Information Theory Tools in Probability and Statistics (S&DS 672a) ]

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Applied Spatial Statistics (S&DS 674b/F&ES 781b)

Instructor: Tim Gregoire
Time: Tues, Thurs 10:30-11:50
Place: TBD
An introduction to spatial statistical techniques with computer applications. Topics include spatial sampling, visualizing spatial data, quantifying spatial association and autocorrelation, interpolation methods, fitting variograms, kriging, and related modeling techniques for spatially correlated data. Examples are drawn from ecology, sociology, public health, and subjects proposed by students. Four to five lab/homework assignments and a final project. The class makes extensive use of the R programming language as well as ArcGIS.

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[ Topological Data Analysis (S&DS 675a) ]

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[ Signal Processing for Data Science (S&DS 676b) ]

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Information-theoretic methods in high-dimensional statistics (S&DS 677b)

Instructor: Yihong Wu
Time: Tues 4:00-5:50
Place: TBD
The interplay between information theory and statistics is a constant theme in the development of both fields. This course will discuss how techniques rooted in information theory play a key role in understanding the fundamental limits of high-dimensional statistical problems in terms of minimax risk and sample complexity. In particular, we will rigorously justify the phenomena of dimensionality reduction by either intrinsic low-dimensionality (sparsity, smoothness, shape, etc) or - the less familiar - extrinsic low-dimensionality (functional estimation). Complementing this objective of understanding the fundamental limits, another significant direction is to develop computationally efficient procedures that attain the statistical optimality, or to understand the lack thereof.

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[ Function Estimation (S&DS 679) ]

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[ High-Dimensional Function Estimation (prev title) (S&DS 682a) ]

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[ Statistical Methods in Neuroimaging (S&DS 683a) ]

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Statistical Inference on Graphs (S&DS 684)

Instructor: Yihong Wu?
Time: Tues 4:00-5:50
Place: 17 Hillhouse 03
An emerging research thread in statistics and machine learning deals with finding latent structures from data represented in graphs or matrices. This course will provide an introduction to mathematical and algorithmic tools for studying such problems. We will discuss information-theoretic methods for determining the fundamental limits, as well as methodologies for attaining these limits, including spectral methods, semidefinite programming relaxations, message passing algorithms, etc. Specific topics will include spectral clustering, planted clique and partition problem, sparse PCA, community detection on stochastic block models, statistical-computational tradeoffs.

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Theory of Reinforcement Learning (S&DS 685)

Instructor: TBD
Time: Tues 4:00-5:50
Place: TBD
Description here

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High-dimensional phenomena in statistics and learning (S&DS 686)

Instructor: Zhou Fan?
Time: Wed 4:00-6:30
Place: 24 Hillhouse
Description here

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TBD (S&DS 687)

Instructor: Zongming Ma
Time: TBD
Place: TBD
Description here

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Computational and Statistical Trade-offs in High Dimensional Statistics (S&DS 688)

Instructor: TBD
Time: Thurs 4:00-5:50
Place: TBD
Modern statistical tasks require the use of both computationally efficient and statistically accurate methods. But, can we always find a computationally efficient method that achieves the information-theoretic optimal statistical guarantees? If not, is this an artifact of our techniques, or a potentially fundamental source of computational hardness? This course will survey a new and growing research area studying such questions on the intersection of high dimensional statistics and theoretical computer science. We will discuss various tools to explain the presence of such “computational-to-statistical gaps” for several high dimensional inference models. These tools include the “low-degree polynomials” method, statistical query lower bounds and more. We will also discuss connections with other fields such as statistical physics and cryptography.

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Scientific Machine Learning (S&DS 689)

Instructor: Lu Lu
Time: Thurs 4:00-5:50
Place: 

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Independent Study or Topics Course (S&DS 690ab)

Instructor: DGS
Time: -
Place: -
By arrangement with faculty. Approval of Director of Graduate Studies required.

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Research Seminar in Mathematical Statistics (S&DS 698)

Instructor: Harrison Zhou
Time: Fri 10:00-11:50
Place: TBD
This course equips students with the skills to critically understand mathematical statistics papers and deliver professional seminar presentations. The instructor selects high-quality papers from The Annals of Statistics, covering diverse topics such as LLMs, diffusion, reinforcement learning, deep learning, and causal inference.

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[ Research Seminar in Probability (S&DS 699ab) ]

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Departmental Seminar (S&DS 700ab)

Instructor: -
Time: Mon 4:00-5:30
Place: 24 Hillhouse
Webpage:  http://www.stat.yale.edu/Seminars/2011-12/
Important activity for all members of the department. See webpage for weekly seminar announcements.

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[ Placeholder -- Monograph (706) ]

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Statistical Case Studies (S&DS 425/625)

Instructor: Jay Emerson
Time: Tues, Thurs 1:00-2:15
Place: TBD
Webpage:  https://classesv2.yale.edu/
Statistical analysis of a variety of statistical problems using real data. Emphasis on methods of choosing data, acquiring data, assessing data quality, and the issues posed by extremely large data sets. Extensive computations using R. Limited size, with permission from the instructor required. This course is for 2nd-year PhD students in S\amp;DS plus, possible, some undergraduates (with priority to BS/MA studenets).

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