Afonso Bandeira: Catalogue data in Spring Semester 2021 |
Name | Prof. Dr. Afonso Bandeira |
Field | Mathematics |
Address | Professur für Mathematik ETH Zürich, HG G 23.1 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telephone | +41 44 632 79 54 |
bandeira@math.ethz.ch | |
Department | Mathematics |
Relationship | Full Professor |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-2684-00L | Mathematics of Machine Learning ![]() | 5 credits | 2V + 1U | A. Bandeira, N. Zhivotovskii | |
Abstract | Introductory course to Mathematical aspects of Machine Learning, including Supervised Learning, Unsupervised Learning, Sparsity, and Online Learning. | ||||
Objective | Introduction to Mathematical aspects of Machine Learning. | ||||
Content | Mathematical aspects of Supervised Learning, Unsupervised Learning, Sparsity, and Online Learning. This course is a Mathematical course, with Theorems and Proofs. | ||||
Prerequisites / Notice | Note for non Mathematics students: this class requires a certain degree of mathematical maturity--including abstract thinking and the ability to understand and write proofs. | ||||
401-3940-21L | Student Seminar in Mathematics and Data: Optimal Transport ![]() Number of participants limited to 12. | 4 credits | 2S | A. Bandeira, G. Chinot | |
Abstract | The Seminar starts with a basic introduction to Optimal Transport (including but not limited to: Monge and Kantorovich formulations, duality, Wassertstein distance). After the introductory material, each week will be devoted to either a research article in the topic or a more advanced concept. Particular emphasis will be given to applications to statistics and data science. | ||||
Objective | |||||
Lecture notes | More information, including list of papers, will be available at https://forum.math.ethz.ch/c/spring-2021/student-seminar-in-mathematics-and-data/51 | ||||
Literature | More information, including list of papers, will be available at https://forum.math.ethz.ch/c/spring-2021/student-seminar-in-mathematics-and-data/51 | ||||
Prerequisites / Notice | This seminar requires a certain degree of mathematical maturity--including abstract thinking and the ability to understand and write proofs. Probability theory and Linear Algebra is a required pre-requisite. Some basic familiarity with Optimization and Functional Analysis is beneficial. | ||||
401-4944-20L | Mathematics of Data Science Does not take place this semester. | 8 credits | 4G | A. Bandeira | |
Abstract | Mostly self-contained, but fast-paced, introductory masters level course on various theoretical aspects of algorithms that aim to extract information from data. | ||||
Objective | Introduction to various mathematical aspects of Data Science. | ||||
Content | These topics lie in overlaps of (Applied) Mathematics with: Computer Science, Electrical Engineering, Statistics, and/or Operations Research. Each lecture will feature a couple of Mathematical Open Problem(s) related to Data Science. The main mathematical tools used will be Probability and Linear Algebra, and a basic familiarity with these subjects is required. There will also be some (although knowledge of these tools is not assumed) Graph Theory, Representation Theory, Applied Harmonic Analysis, among others. The topics treated will include Dimension reduction, Manifold learning, Sparse recovery, Random Matrices, Approximation Algorithms, Community detection in graphs, and several others. | ||||
Lecture notes | https://people.math.ethz.ch/~abandeira/BandeiraSingerStrohmer-MDS-draft.pdf | ||||
Prerequisites / Notice | The main mathematical tools used will be Probability, Linear Algebra (and real analysis), and a working knowledge of these subjects is required. In addition to these prerequisites, this class requires a certain degree of mathematical maturity--including abstract thinking and the ability to understand and write proofs. We encourage students who are interested in mathematical data science to take both this course and ``227-0434-10L Mathematics of Information'' taught by Prof. H. Bölcskei. The two courses are designed to be complementary. A. Bandeira and H. Bölcskei | ||||
401-5000-00L | Zurich Colloquium in Mathematics ![]() | 0 credits | R. Abgrall, A. Bandeira, M. Iacobelli, A. Iozzi, S. Mishra, R. Pandharipande, further lecturers | ||
Abstract | The lectures try to give an overview of "what is going on" in important areas of contemporary mathematics, to a wider non-specialised audience of mathematicians. | ||||
Objective | |||||
401-5620-00L | Research Seminar on Statistics ![]() | 0 credits | 1K | P. L. Bühlmann, M. H. Maathuis, N. Meinshausen, S. van de Geer, A. Bandeira, R. Furrer, L. Held, T. Hothorn, D. Kozbur, M. Wolf | |
Abstract | Research colloquium | ||||
Objective | |||||
401-5640-00L | ZüKoSt: Seminar on Applied Statistics ![]() | 0 credits | 1K | M. Kalisch, F. Balabdaoui, A. Bandeira, P. L. Bühlmann, R. Furrer, L. Held, T. Hothorn, M. H. Maathuis, M. Mächler, L. Meier, N. Meinshausen, M. Robinson, C. Strobl, S. van de Geer | |
Abstract | 5 to 6 talks on applied statistics. | ||||
Objective | Kennenlernen von statistischen Methoden in ihrer Anwendung in verschiedenen Gebieten, besonders in Naturwissenschaft, Technik und Medizin. | ||||
Content | In 5-6 Einzelvorträgen pro Semester werden Methoden der Statistik einzeln oder überblicksartig vorgestellt, oder es werden Probleme und Problemtypen aus einzelnen Anwendungsgebieten besprochen. 3 bis 4 der Vorträge stehen in der Regel unter einem Semesterthema. | ||||
Lecture notes | Bei manchen Vorträgen werden Unterlagen verteilt. Eine Zusammenfassung ist kurz vor den Vorträgen im Internet unter http://stat.ethz.ch/talks/zukost abrufbar. Ankündigunen der Vorträge werden auf Wunsch zugesandt. | ||||
Prerequisites / Notice | Dies ist keine Vorlesung. Es wird keine Prüfung durchgeführt, und es werden keine Kreditpunkte vergeben. Nach besonderem Programm. Koordinator M. Kalisch, Tel. 044 632 3435 Lehrsprache ist Englisch oder Deutsch je nach ReferentIn. Course language is English or German and may depend on the speaker. | ||||
401-5660-00L | Math and Data (MAD+) ![]() | 0 credits | A. Bandeira, external organisers | ||
Abstract | Research colloquium | ||||
Objective | |||||
401-5680-00L | Foundations of Data Science Seminar ![]() | 0 credits | P. L. Bühlmann, A. Bandeira, H. Bölcskei, J. M. Buhmann, T. Hofmann, A. Krause, A. Lapidoth, H.‑A. Loeliger, M. H. Maathuis, N. Meinshausen, G. Rätsch, S. van de Geer, F. Yang | ||
Abstract | Research colloquium | ||||
Objective | |||||
401-5900-00L | Optimization Seminar ![]() | 0 credits | 1K | A. Bandeira, R. Weismantel, R. Zenklusen | |
Abstract | Lectures on current topics in optimization. | ||||
Objective | This lecture series introduces graduate students to ongoing research activities (including applications) in the domain of optimization. | ||||
Content | This seminar is a forum for researchers interested in optimization theory and its applications. Speakers, invited from both academic and non-academic institutions, are expected to stimulate discussions on theoretical and applied aspects of optimization and related subjects. The focus is on efficient (or practical) algorithms for continuous and discrete optimization problems, complexity analysis of algorithms and associated decision problems, approximation algorithms, mathematical modeling and solution procedures for real-world optimization problems in science, engineering, industries, public sectors etc. | ||||
406-2303-AAL | Complex Analysis Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit. | 6 credits | 13R | A. Bandeira | |
Abstract | Complex functions of one variable, Cauchy-Riemann equations, Cauchy theorem and integral formula, singularities, residue theorem, index of closed curves, analytic continuation, conformal mappings, Riemann mapping theorem. | ||||
Objective | |||||
Literature | L. Ahlfors: "Complex analysis. An introduction to the theory of analytic functions of one complex variable." International Series in Pure and Applied Mathematics. McGraw-Hill Book Co. B. Palka: "An introduction to complex function theory." Undergraduate Texts in Mathematics. Springer-Verlag, 1991. R.Remmert: Theory of Complex Functions.. Springer Verlag E.Hille: Analytic Function Theory. AMS Chelsea Publication | ||||
Prerequisites / Notice | The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material. |