Calendar

Week	Lecture I Info	Lecture II Info	Exercises	Important Info
Week 1 02/05 - 02/09	Lecture 1 (Mon, 02/05) Course Overview Readings: GDL Ch. 3 & 7	Lecture 2 (Wed, 02/07) Intro to Finite Groups (Theory) Readings: Dresselhaus Ch. 1.1 - 1.7 Dresselhaus Ch. 2.1 Georgi Ch. 1.[1,2,7,8,10]	Exercises: Numpy (optional) Groups (due 2/18)
Week 2 02/12 - 02/16	Lecture 3 (Mon, 02/12) Intro to Finite Groups (Code) + Intro to (Group) Convolution Readings: Dresselhaus Ch. 1.1 - 1.7 Dresselhaus Ch. 2.1 Georgi Ch. 1.[1,2,7,8,10] GDL Ch. 5.1 & 5.2 (except Spherical CNNs), pgs. 69-77 (top)	Lecture 4 (Wed, 02/14) Group Convolution Readings: GDL Ch. 5.1 & 5.2 (except Spherical CNNs), pgs. 69-77 (top) Group Conv. Nets Paper	Exercises: Groups (due 2/18)
Week 3 02/19 - 02/23	Lecture 5 (Tue, 02/20) Linear Algebra Readings: Dresselhaus Ch. 1.1 - 1.7 Dresselhaus Ch. 2.1 Laub Ch 13.[1,2,3]	Lecture 6 (Wed, 02/21) Representations of Finite Groups I: Reps, Irreps, Schur's Lemma, Wonderful Orthogonality Theorem Readings: Dresselhaus Ch. 2 Georgi Ch. 1.[3,4,6,9,11,12]	Exercises: Groups 2 (due 2/25)	Monday, Feb. 19 is President's Day Holiday. Tuesday, Feb. 20 -- Monday schedule held
Week 4 02/26 - 03/01	Lecture 7 (Mon, 02/26) Representations of Finite Groups II: Character of Representations Readings: Dresselhaus Ch. 3.[1-.7] Georgi Ch. 1.[3,4,6,9,11,12]	Lecture 8 (Wed, 02/28) Exam Logistics and Review of Lec. 2-7 Readings: See Exam Details HERE	Exercises: Linear Algebra and Group Representation I (due 3/3)
Week 5 03/04 - 03/08	Lecture 9 (Mon, 03/04) Guest Tutorial by Dr. Rui (Ray) Wang: (Relaxed) Group Convolution Neural Networks Readings: Approximately equivariant neural networks Discovering Symmetry Breaking with Relaxed Group Conv.	Lecture 10 (Wed, 03/06) Exam 1: Finite Groups (Lectures 1-7) Readings: See Exam Details HERE
Week 6 03/11 - 03/15	Lecture 11 (Mon, 03/11) Representations of Finite Groups III: Tensor Products Readings: Dresselhaus Ch. 3.[1-.7] Dresselhaus Ch. 6.[3, 4, 5] Georgi Ch. 1.[15, 16, 17] Serre Ch. 1.5 & 3.2 Georgi Ch. 1.15, 1.16	Lecture 12 (Wed, 03/13) Basis Functions and Filters Readings: Dresselhaus Ch. 4.[1-5] Cohen16 [2.5: Table 1] Cesa22 [2.1: Example 2] Weiler19 [2.5]	Exercises: Group Representations II (due 3/22)
Week 7 03/18 - 03/22	Lecture 13 (Mon, 03/18) Intro to Lie Algebra Readings: Georgi Ch. 2	Lecture 14 (Wed, 03/20) SO(2) and SO(3) and their Representations Readings: Georgi Ch. 3		Project proposal due Friday 3/22. Submit via email (symm4ml-instructors@mit.edu)
MIT Spring Break 3/25 - 3/29
Week 8 04/01 - 04/05	Lecture 15 (Mon, 04/01) Recap on Lie Groups and Irrep Basis Functions and Connection to Fourier Transforms and Convolution Readings: Terence Tao's Notes on Fourier Transforms Steve Brunton's Video on Fourier Transform and Convolution Integrals Clebsch-Gordan Nets (NeurIPS 2018)	Lecture 16 (Wed, 04/03) Big Ideas in Group and Steerable Convolutions Readings: FFT on Rotation Groups Spherical CNNs Erik Bekker's Notes Section 5 Equivalence between SE(3) Equivariant Networks	Exercises: Lie Groups (due 4/14)
Week 9 04/08 - 04/12	Lecture 17 (Mon, 04/08) Making and Rotating Spherical Harmonic Projections Readings: Solar Eclipse Max View at 3:30pm Lecture will be pre-recorded and linked here. If you are on campus, come watch the eclipse at Hockfield Court. We will have some eclipse glasses available.	Lecture 18 (Wed, 04/10) Recap for Exam 2 and Symmetry + Neural Networks Readings: See Exam Details HERE	Exercises: Rotations (due 4/14) Neural Networks (due 4/14)
Week 10 04/15 - 04/19		Lecture 19 (Wed, 04/17) Exam 2: Lie Groups, SO(2), and SO(3) Readings: See Exam Details HERE Review Session Notes		4/15 is a Patriots' Day! No class Monday!
Week 11 04/22 - 04/26	Lecture 20 (Mon, 04/22) Neural Networks with Symmetry: Basics, Resources, and e3nn and escnn	Lecture 21 (Wed, 04/24) Neural Networks with Symmetry: Activation Functions, Reduced Tensor Products, NequIP		First Draft of Project Paper Due Friday 4/26. Submit via email (symm4ml-instructors@mit.edu) Drop Date is Tuesday 4/23!
Week 12 04/29 - 05/03	Lecture 22 (Mon, 04/29) GUEST LECTURE: Hannah Lawrence (MIT) Readings: Frame-averaging Learnable canonicalization Probabilistic canonicalization On continuity (Hannah + collaborators)	Lecture 23 (Wed, 05/01) GUEST LECTURE: Prof. Robin Walters (Northeastern)
Week 13 05/06 - 05/10	Lecture 24 (Mon, 05/06) GUEST LECTURE: Behrooz Tahmasebi (MIT)	Lecture 25 (Wed, 05/08) GUEST LECTURE: Dr. Alby Musaelian (Harvard)		Posters due Thursday, 5/9 at 9am! Final Draft of Project Paper due Monday 5/13 @ 2:30pm! Submit both via email (symm4ml-instructors@mit.edu)
Week 14 05/13 - 05/17	Lecture 26 (Mon, 05/13) Class Poster Reception Readings: During class time in 36-462			Final Draft of Project Paper due Monday 5/13 @ 2:30pm! May 14th is last day of classes.