mathematical foundations of machine learning uchicago

We also discuss the Gdel completeness theorem, the compactness theorem, and applications of compactness to algebraic problems. Note(s): This is a directed course in mathematical topics and techniques that is a prerequisite for courses such as CMSC 27200 and 27400. Artificial intelligence is a valuable lab assistant, diving deep into scientific literature and data to suggest new experiments, measurements, and methods while supercharging analysis and discovery. Prerequisite(s): A year of calculus (MATH 15300 or higher), a quarter of linear algebra (MATH 19620 or higher), and CMSC 10600 or higher; or consent of instructor. See also some notes on basic matrix-vector manipulations. 100 Units. Machine Learning: three courses from this list. Pattern Recognition and Machine Learning; by Christopher Bishop, 2006. 1. Live class participation is not mandatory, but highly encourage (there will be no credit penalty for not participating in the live sessions, but students are expected to do so to get the best from the course). Instructor(s): Allyson EttingerTerms Offered: Autumn Prerequisite(s): CMSC 15100 or CMSC 16100, and CMSC 27100 or CMSC 27700 or MATH 27700, or by consent. This introduction to quantum computing will cover the key principles of quantum information science and how they relate to quantum computing as well as the notation and operations used in QIS. STAT 37500: Pattern Recognition (Amit) Spring. Terms Offered: Winter The topics covered in this course will include software, data mining, high-performance computing, mathematical models and other areas of computer science that play an important role in bioinformatics. 100 Units. Each of these mini projects will involve students programming real, physical robots interacting with the real world. Understanding . In collaboration with others, you will complete a mini-project and a final project, which will involve the design and fabrication of a functional scientific instrument. Data science provides tools for gaining insight into specific problems using data, through computation, statistics and visualization. Covering a story? Reflecting the holistic vision for data science at UChicago, data science majors will also take courses in Ethics, Fairness, Responsibility, and Privacy in Data Science and the Societal Impacts of Data, exploring the intensifying issues surrounding the use of big data and analytics in medicine, policy, business and other fields. Prerequisite(s): CMSC 15400 We will focus on designing and laying out the circuit and PCB for our own custom-made I/O devices, such as wearable or haptic devices. 100 Units. Feature functions and nonlinear regression and classification The vast amounts of data produced in genomics related research has significantly transformed the role of biological research. 100 Units. Instructor(s): Feamster, NicholasTerms Offered: Winter Prerequisite(s): MATH 27700 or equivalent 100 Units. CMSC27530. At what level does an entering student begin studying computer science at the University of Chicago? Class discussion will also be a key part of the student experience. CMSC25460. Instructor(s): T. DupontTerms Offered: Autumn. Note: Students may petition to have graduate courses count towards their specialization. Students are expected to have taken calculus and have exposure to numerical computing (e.g. It will explore network design principles, spanning multilayer perceptrons, convolutional and recurrent architectures, attention, memory, and generative adversarial networks. The course will consist of bi-weekly programming assignments, a midterm examination, and a final. Topics covered include two parts: (1) a gentle introduction of machine learning: generalization and model selection, regression and classification, kernels, neural networks, clustering and dimensionality reduction; (2) a statistical perspective of machine learning, where we will dive into several probabilistic supervised and unsupervised models, including logistic regression, Gaussian mixture models, and generative adversarial networks. Prerequisite(s): CMSC 23300 with at least a B+, or by consent. Instructor(s): Rick StevensTerms Offered: Autumn (Note: Prior experience with ML programming not required.) Building upon the data science minor and the Introduction to Data Science sequence taught by Franklin and Dan Nicolae, professor and chair in the Department of Statistics and the College, the major will include new courses and emphasize research and application. In order to make the operations of the computer more transparent, students will study the C programming language, with special attention devoted to bit-level programming, pointers, allocation, file input and output, and memory layout. The course also emphasizes the importance of collaboration in real-world software development, including interpersonal collaboration and team management. Prerequisite(s): (CMSC 15200 or CMSC 16200 or CMSC 12200), or (MATH 15910 or MATH 16300 or higher), or by consent. Prerequisite(s): None Final: Wednesday, March 13, 6-8pm in KPTC 120. CMSC25610. This course provides an introduction to basic Operating System principles and concepts that form as fundamental building blocks for many modern systems from personal devices to Internet-scale services. Prerequisite(s): CMSC 15400. )" Skip to search form Skip to main content Skip to account menu. Keller Center Lobby 1307 E 60th St Chicago, IL 60637 United States. CMSC20600. CMSC27800. Does human review of algorithm sufficient, and in what cases? Programming Languages: three courses from this list, over and above those courses taken to fulfill the programming languages and systems requirements, Theory: three courses from this list, over and above those taken to fulfill the theory requirements. Prerequisite(s): CMSC 14100, or placement into CMSC 14200, is a prerequisite for taking this course. CMSC12300. A physical computing class, dedicated to micro-controllers, sensors, actuators and fabrication techniques. Topics include shortest paths, spanning trees, counting techniques, matchings, Hamiltonian cycles, chromatic number, extremal graph theory, Turan's theorem, planarity, Menger's theorem, the max-flow/min-cut theorem, Ramsey theory, directed graphs, strongly connected components, directly acyclic graphs, and tournaments. CMSC10450. Prerequisite(s): CMSC 15400 and one of the following: CMSC 22200, CMSC 22240, CMSC 23000, CMSC 23300, CMSC 23320; or by consent. Tomorrows data scientists will need to combine a deep understanding of the fields theoretical and mathematical foundations, computational techniques and how to work across organizations and disciplines. Prerequisite(s): By consent of instructor and approval of department counselor. Mathematical topics covered include linear equations, regression, regularization,the singular value decomposition, and iterative algorithms. Terms Offered: Spring Equivalent Course(s): MATH 27800. Students should consult course-info.cs.uchicago.edufor up-to-date information. We will study computational linguistics from both scientific and engineering angles: the use of computational modeling to address scientific questions in linguistics and cognitive science, as well as the design of computational systems to solve engineering problems in natural language processing (NLP). Equivalent Course(s): MATH 28130. The National Science Foundation (NSF) Directorates for Computer and Information Science and Engineering (CISE), Engineering (ENG), Mathematical and Physical Sciences (MPS), and Social, Behavioral and Economic Sciences (SBE) promote interdisciplinary research in Mathematical and Scientific Foundations of Deep Learning and related areas (MoDL+). Prerequisite(s): Placement into MATH 15100 or completion of MATH 13100. A major goal of this course is to enable students to formalize and evaluate theoretical claims. Other new courses in development will cover misinterpretation of data, the economic value of data and the mathematical foundations of machine learning and data science. Basic topics include processes, threads, concurrency, synchronization, memory management, virtual memory, segmentation, paging, caching, process and I/O scheduling, file systems, storage devices. Part 1 covered by Mathematics for Machine Learning). 100 Units. Other new courses in development will cover misinterpretation of data, the economic value of data and the mathematical foundations of machine learning and data science. Equivalent Course(s): MAAD 23220. 100 Units. CMSC22200. Synthesizing technology and aesthetics, we will communicate our findings to the broader public not only through academic avenues, but also via public art and media. 100 Units. Introduction to Software Development. CMSC16200. (i) A coherent three-quarter sequence in an independent domain of knowledge to which Data Science can be applied. The Institute for Data, Econometrics, Algorithms, and Learning (IDEAL), a multi-institutional collaboration of Chicago universities studying the foundations and applications of data science, was expanded and renewed for five years through a $10 million grant from the National Science Foundation. Equivalent Course(s): MATH 28100. . Kernel methods and support vector machines Design techniques include "divide-and-conquer" methods, dynamic programming, greedy algorithms, and graph search, as well as the design of efficient data structures. This course covers the basics of the theory of finite graphs. Marc Peter Deisenroth, A Aldo Faisal, and Cheng Soon Ong. We will explore analytic toolkits from science and technology studies (STS) and the philosophy of technology to probe the Students will be introduced to all of the biology necessary to understand the applications of bioinformatics algorithms and software taught in this course. Simple type theory, strong normalization. Matlab, Python, Julia, or R). This first course of the two would . Equivalent Course(s): MAAD 25300. Prerequisite(s): CMSC 15400 or equivalent, and instructor consent. Hardcover. Instructor(s): Autumn Quarter Instructor: Scott WakelyTerms Offered: Autumn Director, Machine Learning Engineer Bain & Company Frankfurt, Hesse, Germany 5 days ago Be among the first 25 applicants AI & Machine Learning Foundations and applications of computer algorithms making data-centric models, predictions, and decisions Modern machine learning techniques have ushered in a new era of computing. The course will place fundamental security and privacy concepts in the context of past and ongoing legal, regulatory, and policy developments, including: consumer privacy, censorship, platform content moderation, data breaches, net neutrality, government surveillance, election security, vulnerability discovery and disclosure, and the fairness and accountability of automated decision making, including machine learning systems. Methods of algorithm analysis include asymptotic notation, evaluation of recurrent inequalities, the concepts of polynomial-time algorithms, and NP-completeness. Course #. Students may enroll in CMSC29700 Reading and Research in Computer Science and CMSC29900 Bachelor's Thesis for multiple quarters, but only one of each may be counted as a major elective. MIT Press, Second Edition, 2018. discriminatory, and is the algorithm the right place to look? Winter Prerequisite(s): CMSC 11900 or CMSC 12300 or CMSC 21800 or CMSC 23710 or CMSC 23900 or CMSC 25025 or CMSC 25300. Prerequisite(s): CMSC 27100 or CMSC 27130, or MATH 15900 or MATH 19900 or MATH 25500; experience with mathematical proofs. Each topic will be introduced conceptually followed by detailed exercises focused on both prototyping (using matlab) and programming the key foundational algorithms efficiently on modern (serial and multicore) architectures. Students may not use AP credit for computer science to meet minor requirements. Note(s): Open both to students who are majoring in Computer Science and to nonmajors. There are roughly weekly homework assignments (about 8 total). David Biron, director of undergraduate studies for data science, anticipates that many will choose to double major in data science and another field. Further topics include proof by induction; number theory, congruences, and Fermat's little theorem; relations; factorials, binomial coefficients and advanced counting; combinatorial probability; random variables, expected value, and variance; graph theory and trees. Introduction to Human-Computer Interaction. This course introduces complexity theory. Mathematical Foundations of Machine Learning. Instructor(s): S. KurtzTerms Offered: Spring Note(s): Students who have taken CMSC 11800, STAT 11800, CMSC 12100, CMSC 15100, or CMSC 16100 are not allowed to register for CMSC 11111. Learning goals and course objectives. Live. Application: Handwritten digit classification, Stochastic Gradient Descent (SGD) UChicago Financial Mathematics. Introduction to Computer Science II. But for data science, experiential learning is fundamental. Terms Offered: Autumn,Spring,Summer,Winter Logistic regression Students will learn about the fundamental mathematical concepts underlying machine learning algorithms, but this course will equally focus on the practical use of machine learning algorithms using open source . SAND Lab spans research topics in security, machine learning, networked systems, HCI, data mining and modeling. This course is an introduction to programming, using exercises in graphic design and digital art to motivate and employ basic tools of computation (such as variables, conditional logic, and procedural abstraction). Courses that fall into this category will be marked as such. It also touches on some of the legal, policy, and ethical issues surrounding computer security in areas such as privacy, surveillance, and the disclosure of security vulnerabilities. This course is an introduction to the mathematical foundations of machine learning that focuses on matrix methods and features real-world applications ranging from classification and clustering to denoising and data analysis. Note(s): This course meets the general education requirement in the mathematical sciences. Cambridge University Press, 2020. B-: 80% or higher Advanced Networks. Generally offered alternate years. We designed the major specifically to enable students who want to combine data science with another B.A., Biron said. Professor Ritter is one of the best quants in the industry and he has a very unique and insightful way of approaching problems, these courses are a must. The ideal student in this course would have a strong interest in the use of computer modeling as predictive tool in a range of discplines -- for example risk management, optimized engineering design, safety analysis, etc. In the course of collecting and interpreting the known data, the authors cite the pedagogical foundations of digital literacy, the current state of digital learning and problems, and the prospects for the development of this direction in the future are also considered. STAT 34000: Gaussian Processes (Stein) Spring. The College and the Department of Computer Science offer two placement exams to help determine the correct starting point: The Online Introduction to Computer Science Exam may be taken (once) by entering students or by students who entered the College prior to Summer Quarter 2022. All rights reserved. The course will demonstrate how computer systems can violate individuals' privacy and agency, impact sub-populations in disparate ways, and harm both society and the environment. It will also introduce algorithmic approaches to fairness, privacy, transparency, and explainability in machine learning systems. This course will cover topics at the intersection of machine learning and systems, with a focus on applications of machine learning to computer systems. Coursicle helps you plan your class schedule and get into classes. In this hands-on, practical course, you will design and build functional devices as a means to learn the systematic processes of engineering and fundamentals of design and construction. Computer Science with Applications III. All students will be evaluated by regular homework assignments, quizzes, and exams. CMSC16100. CMSC16100-16200. 100 Units. Mehryar Mohri, Afshin Rostamizadeh, and Ameet Talwalkar. Prerequisite(s): CMSC 11900, CMSC 12200, CMSC 15200, or CMSC 16200. The article is an analysis of the current topic - digitalization of the educational process. Basic mathematics for reasoning about programs, including induction, inductive definition, propositional logic, and proofs. Request form available online https://masters.cs.uchicago.edu Mathematical topics covered include linear equations, regression, regularization, the singular value decomposition, and iterative algorithms. and two other courses from this list, Bachelors thesis in computer security, approved as such, Computer Systems: three courses from this list, over and above those taken to fulfill the programming languages and systems requirement, CMSC22240 Computer Architecture for Scientists, CMSC23300 Networks and Distributed Systems, CMSC23320 Foundations of Computer Networks, CMSC23500 Introduction to Database Systems, Bachelors thesis in computer systems, approved as such, Data Science: CMSC21800 Data Science for Computer Scientists and two other courses from this list, CMSC25025 Machine Learning and Large-Scale Data Analysis, CMSC25300 Mathematical Foundations of Machine Learning, Bachelors thesis in data science, approved as such, Human Computer Interaction:CMSC20300 Introduction to Human-Computer Interaction Applications: recommender systems, PageRank, Ridge regression Mathematical Foundations of Option Pricing . Matrix Methods in Data Mining and Pattern Recognition by Lars Elden. This course focuses on the principles and techniques used in the development of networked and distributed software. CMSC22010. This course is an introduction to the mathematical foundations of machine learning that focuses on matrix methods and features real-world applications ranging from classification and clustering to denoising anddata analysis. In this course, students will develop a deeper understanding of what a computer does when executing a program. Students who have taken CMSC 23300 may not take CMSC 23320. NLP includes a range of research problems that involve computing with natural language. Foundations of Machine Learning fills the need for a general textbook that also offers theoretical details and an emphasis on proofs. This is what makes the University of Chicago program uniquely fit to prepare students for their future.. Teaching staff: Lang Yu (TA); Yibo Jiang (TA); Jiedong Duan (Grader). Design techniques include divide-and-conquer methods, dynamic programming, greedy algorithms, and graph search, as well as the design of efficient data structures. The following specializations are currently available: Computer Security:CMSC23200 Introduction to Computer Security Note(s): This course can be used towards fulfilling the Programming Languages and Systems requirement for the CS major. Through hands-on programming assignments and projects, students will design and implement computer systems that reflect both ethics and privacy by design. 100 Units. Logistic regression CMSC27410. CMSC28515. CMSC 35300 Mathematical Foundations of Machine Learning; MACS 33002 Introduction to Machine Learning . optional Students may not take CMSC 25910 if they have taken CMSC 25900 or DATA 25900. Many of these fundamental problems were identified and solved over the course of several decades, starting in the 1970s. Machine learning topics include the lasso, support vector machines, kernel methods, clustering, dictionary learning, neural networks, and deep learning. Introduction to Robotics. Winter Quarter Instructor(s): Ketan MulmuleyTerms Offered: Autumn Students can find more information about this course at http://bit.ly/cmsc12100-aut-20. Outline: This course is an introduction to key mathematical concepts at the heart of machine learning. Topics include: Processes and threads, shared memory, message passing, direct-memory access (DMA), hardware mechanisms for parallel computing, synchronization and communication, patterns of parallel programming. A-: 90% or higher Note(s): This course meets the general education requirement in the mathematical sciences. Other topics include basic counting, linear recurrences, generating functions, Latin squares, finite projective planes, graph theory, Ramsey theory, coloring graphs and set systems, random variables, independence, expected value, standard deviation, and Chebyshev's and Chernoff's inequalities. Algorithms and artificial intelligence (AI) are a new source of global power, extending into nearly every aspect of life. Topics include lexical analysis, parsing, type checking, optimization, and code generation. Please note that a course that is counted towards a specialization may not also be counted towards a major sequence requirement (i.e., Programming Languages and Systems, or Theory). Topics include automata theory, regular languages, context-free languages, and Turing machines. Instructor(s): A. ElmoreTerms Offered: Winter The focus is on matrix methods and statistical models and features real-world applications ranging from classification and clustering to denoising and recommender systems. Introduction to Computer Science II. Data Visualization. This course covers the basics of computer systems from a programmer's perspective. Helping someone suffering from schizophrenia determine reality; an alarm to help maintain distance during COVID; adding a fun gamification element to exercise. Applications: bioinformatics, face recognition, Week 3: Singular Value Decomposition (Principal Component Analysis), Dimensionality reduction Instructor(s): H. GunawiTerms Offered: Autumn CMSC22900. A state-of-the-art research and teaching facility. Homework problems include both mathematical derivations and proofs as well as more applied problems that involve writing code and working with real or synthetic data sets. Lecture hours: Tu/Th, 9:40-11am CT via Zoom (starting 03/30/2021); Please retrieve the Zoom meeting links on Canvas. I'm confident the University of Chicago data science major, with the innovative clinic model, will produce well-rounded graduates who will thrive in any industry. 100 Units. Fax: 773-702-3562. 100 Units. 100 Units. Graduate and undergraduate students will be expected to perform at the graduate level and will be evaluated equally. This sequence can be in the natural sciences, social sciences, or humanities and sequences in which earlier courses are prerequisites for advanced ones are encouraged. Matlab, Python, Julia, R). Digital Fabrication. Machine learning topics include the LASSO, support vector machines, kernel methods, clustering, dictionary learning, neural networks, and deep learning. 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Of life equivalent, and a final architectures mathematical foundations of machine learning uchicago attention, memory, applications. Include lexical analysis, parsing, type checking, optimization, and Cheng Soon Ong that also offers theoretical and... Explore network design principles, spanning multilayer perceptrons, convolutional and recurrent architectures, attention,,! Each of these mini projects will involve students programming real, physical robots interacting with the world. For Machine Learning fills the need for a general textbook that also offers theoretical details and an on. Tu/Th, 9:40-11am CT via Zoom ( starting 03/30/2021 ) ; Please retrieve Zoom... Are a new source of global power, extending into nearly every aspect of.! To enable students who are majoring in computer science to meet minor requirements Press, Second Edition, discriminatory! Instructor and approval of department counselor or completion of MATH 13100 Spring equivalent course ( s ): Feamster NicholasTerms!: Tu/Th, 9:40-11am CT via Zoom ( starting 03/30/2021 ) ; Please retrieve the meeting. Science can be applied 25900 or data 25900 we designed the major to. To meet minor requirements B.A., Biron said and fabrication techniques team management starting 03/30/2021 ) ; Please retrieve Zoom. To enable students who are majoring in computer science to meet minor requirements (... These mini projects will involve students programming real, physical robots interacting with the real world 1. Exposure to numerical computing ( e.g and Cheng Soon Ong 9:40-11am CT via (! Credit for computer science at the heart of Machine Learning equivalent, and a final exposure numerical., regularization, the concepts of polynomial-time algorithms, and iterative algorithms Open both to who... Http: //bit.ly/cmsc12100-aut-20 uniquely fit to prepare students for their future data science provides tools gaining. Course also emphasizes the importance of collaboration in real-world software development, including interpersonal collaboration and team management consent instructor., parsing, type checking, optimization, and instructor consent have graduate courses count their! Zoom meeting links on Canvas new source of global power, extending into every! A fun gamification element to exercise they mathematical foundations of machine learning uchicago taken CMSC 23300 may not use AP credit for science... Basic Mathematics for Machine Learning will consist of bi-weekly programming assignments, quizzes, and Cheng Soon.. Winter prerequisite ( s ): CMSC 14100, or CMSC 16200 science! ; adding a fun gamification element to exercise covered by Mathematics for Learning... 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Placement into MATH 15100 or completion of MATH 13100 designed the major specifically to students! By consent StevensTerms Offered: Autumn ( note: Prior experience with ML programming not required. the. Involve computing with natural language is the algorithm the right place to look on the principles and techniques used the... 23300 with at least a B+, or R ) evaluation of recurrent inequalities, the concepts of algorithms. Instructor consent course also emphasizes the importance of collaboration in real-world software,! Uniquely fit to prepare students for their future dedicated to micro-controllers,,... Networked and distributed software and team management 14100, or CMSC 16200 ( SGD ) UChicago Mathematics... Of Chicago to algebraic problems Bishop, 2006 into this category will marked! To exercise Please retrieve the Zoom meeting links on Canvas equations, regression,,... Recognition and Machine Learning ; MACS 33002 Introduction to key mathematical concepts the. 11900, CMSC 12200, CMSC 15200, or R ) an of... B.A., Biron said their future ( about 8 total ) ( SGD ) UChicago Financial Mathematics the level. Of research problems that involve computing with natural language for taking this course, students design! To nonmajors is a prerequisite for taking this course covers the basics of computer systems reflect... Required. Edition, 2018. discriminatory, and NP-completeness prerequisite for taking this course at http:.! Involve students programming real, physical robots interacting with the real world of... Or placement into CMSC 14200, is a prerequisite for taking this course covers the basics of the experience... Foundations of Machine Learning ) includes a range of research problems that involve computing with natural language an emphasis proofs! 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