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mathematical_methods_machine_learning [2025/03/01 08:41] – [Weeks 9 & 10 (2025)] Diaaeldin Taha | mathematical_methods_machine_learning [2025/03/30 23:11] (current) – [Organization] Diaaeldin Taha |
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* **Location**: [[https://www.mis.mpg.de/|Max Planck Insitute for Mathematics in the Sciences]], Seminar Room E2 10 (Leon Lichtenstein) | * **Location**: [[https://www.mis.mpg.de/|Max Planck Insitute for Mathematics in the Sciences]], Seminar Room E2 10 (Leon Lichtenstein) |
* **Organizers**: Parvaneh Joharinad, Diaaeldin Taha | * **Organizers**: Diaaeldin Taha and Parvaneh Joharinad |
* **Institutional Website**: [[https://www.mis.mpg.de/events/event/mathematics-and-machine-learning|link]] | * **Institutional Website**: [[https://www.mis.mpg.de/events/event/mathematics-and-machine-learning|link]] |
* **Contact**: To contact the organizers, email the lab at ''lab [at] mis [dot] mpg [dot] de''. | * **Contact**: To contact the organizers, email the lab at ''lab [at] mis [dot] mpg [dot] de''. |
^ Week 48 (2024) | Mon, 25.11.2024 | 15:00–16:30 | MIS, E2 10 | Parvaneh Joharinad | Group Equivariant Neural Networks II | | ^ 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 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 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 | | ^ Week 3 (2025) | Mon, 13.01.2025 | 14:00–15:30 | MIS, A3 01 | Jan Ewald | Autoencoder and Their Variants for Biomedical Data | |
^ 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 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 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 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 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 | |
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===== Information ===== | ===== Information ===== |
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**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. | **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) ==== |
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| **Speaker**: Angelica Torres (MPI MIS) |
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| **Title**: Varieties in Machine Learning I & II |
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| **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. |
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**Speaker**: Angelica Torres | |
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==== Weeks 13 (2025) ==== | |
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**Speaker**: Marzieh Eidi | |