Differences

This shows you the differences between two versions of the page.

--- mathematical_methods_machine_learning [2025/03/01 08:41] – [Weeks 9 & 10 (2025)] Diaaeldin Taha
+++ mathematical_methods_machine_learning [2025/03/13 13:05] (current) – [Schedule] Diaaeldin Taha
@@ Line 21: / Line 21: @@
 ^ Week 48 (2024) | Mon, 25.11.2024 | 15:00–16:30  | MIS, E2 10      | Parvaneh Joharinad | Group Equivariant Neural Networks II   |
 ^ Week 49 (2024) | Mon, 02.12.2024 | 15:00–16:30  | MIS, G3 10      | Nico Scherf           | Deep Generative Models   |
+^ Week 50 (2024) | Mon, 09.12.2024 | ---  | ---      | ---           | **NO MEETING**   |
 ^ Week 51 (2024) | Mon, 16.12.2024 | 15:00–16:30  | MIS, E2 10      | Jan Ewald             | On the (Underestimated) Importance of Objective/Loss Functions   |
 ^ Week 3 (2025)  | Mon, 13.01.2025 | 14:00–15:30  | MIS, A3 01      | Jan Ewald             | Autoencoder and Their Variants for Biomedical Data   |
@@ Line 29: / Line 30: @@
 ^ Week 8 (2025)  | Mon, 17.02.2025 | 14:00–15:30  | MIS, A3 01      | Guido Montufar        | An Overview of Theories for Feature Learning in Neural Networks II   |
 ^ Week 9 (2025)  | Mon, 24.02.2025 | 14:00–15:30  | MIS, A3 01      | Paul Breiding         | Computing with Algebraic Varieties I   |
-^ Week 10 (2025) | Mon, 03.03.2025 | ---  | ---     | ---         | ---   |
+^ Week 10 (2025) | Mon, 03.03.2025 | ---  | ---     | ---         | **NO MEETING**   |
-^ Week 11 (2025) | Mon, 10.03.2025 | 14:00–15:30  | MIS, A3 01      | Paul Breiding         | Computing with Algebraic Varieties II   |
+^ Week 11 (2025) | Mon, 10.03.2025 | ---  | ---      | ---         | **NO MEETING**   |
 ^ Week 12 (2025) | Mon, 17.03.2025 | 14:00–15:30  | MIS, A3 01      | Angelica Torres       | Varieties in Machine Learning I   |
 ^ Week 13 (2025) | Mon, 24.03.2025 | 14:00–15:30  | MIS, A3 01      | Angelica Torres       | Varieties in Machine Learning II   |
-^ Week 14 (2025) | Mon, 31.03.2025 | 14:00–15:30  | MIS, A3 01      | Marzieh Eidi          | Geometric Machine Learning   |
+^ Week 11 (2025) | Mon, 31.03.2025 | ---  | ---      | ---         | **NO MEETING**   |
+^ Week 14 (2025)  | Mon, 07.04.2025 | 14:00–15:30  | MIS, A3 01      | Paul Breiding         | Computing with Algebraic Varieties II   |
+^ Week 15 (2025) | Mon, 14.04.2025 | 14:00–15:30  | MIS, A3 01      | Marzieh Eidi          | Geometric Machine Learning   |
 ===== Information =====
@@ Line 113: / Line 116: @@
 **Description**: These lectures will consider algebraic varieties from a computational point of view.  They will cover topics such as dimension, degree, Gröbner bases and homotopy continuation. As a motivation, we will discuss varieties relevant in machine learning and data science.
-==== Weeks 11 & 12 (2025) ====
+==== Weeks 12 & 13 (2025) ====
-**Speaker**: Angelica Torres
+**Speaker**: Angelica Torres (MPI MIS)
-==== Weeks 13 (2025) ====
+**Title**: Varieties in Machine Learning I & II
+**Description**:
+  * **Varieties in Machine Learning I**: In this session we will build on Paul Breiding’s lectures and focus on the relation between the implicitization problem in Algebraic Geometry and the function space of neural networks.  We will review the work by Kohn, Trager, Kileel, Montufar, Li, and others, regarding the geometric properties of the function space of linear neural networks and polynomial neural networks.
+  * **Varieties in Machine Learning II**: In this session we focus on the algebraic and geometric properties of the varieties studied in the previous session. We will pay special attention to the Euclidean Distance Degree and its relation with the optimization problem in Machine Learning.
+==== Weeks 14 (2025) ====
 **Speaker**: Marzieh Eidi