Vahid Shahverdi
I'm a PhD student in Mathematics under supervision of Kathlén Kohn and Joakim Anden at KTH. Currently, my research is focused on algebraic geometry, machine learning, and signal processing.
Current position
PhD student in Mathematics
Area: Algebraic geometry, machine learning, and signal processing
Supervisors: Kathlén Kohn & Joakim Anden
University: KTH
Contact details
Email address: vahidsha at kth dot se
Office: 7-th floor, LINDSTEDTSVÄGEN 25
Papers
On the Geometry and Optimization of Polynomial Convolutional Networks (soon), with Giovanni Luca Marchetti and Kathlén Kohn
Moment Constraints and Phase Recovery for Multireference Alignment (arXiv preprint arXiv:2409.04868), with Emanuel Ström and Joakim Andén
Function Space and Critical Points of Linear Convolutional Networks (SIAM Journal on Applied Algebra and Geometry 8 (2), 333-362), with Kathlén Kohn, Guido Montúfar, and Matthew Trager
Geometry of Linear Neural Networks: Equivariance and Invariance under Permutation Groups (arXiv preprint arXiv:2309.13736), with Kathlén Kohn, and Anna-Laura Sattelberger
Algebraic Complexity and Neurovariety of Linear Convolutional Networks (accepted in Acta Univ. Sapientiae Math)
New Approach to Character-Free Proof for Frobenius Theorem (Bachelor Project) with Seyedeh Fatemeh ARFAEE ZARANDI
Previous study
MSc in Mathematics
Area: Algebraic geometry
Thesis: Local and global aspects of Deligne-Mumford moduli space of curves
University: EPFL
Teaching
Modern Methods of Statistical Learning
Commutative Algebra and Algebraic Geometry
Groups and Rings
Lecture notes
Machine Learning and Algebraic Geometry