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conference
08/08/2022 08/08/2022

Workshop on Algebraic Geometry, Combinatorics, and Machine Learning

Numerous learning algorithms rely on the geometry and combinatorics of individual hypothesis functions, function classes, their particular parametrization, and the corresponding structure of optimization objectives in parameter and function space, which also depend on the data at hand. In this meeting we will discuss the application of mathematical methods and challenges in Algebraic Geometry and Combinatorics in the realm of Machine Learning and Deep Learning in particular.

Participation is possible both in-person and online.

Speakers

Christoph Hertrich

London School of Economics

Kathlén Kohn

KTH Royal Institute of Technology

Johannes Müller

Max Planck Institute for Mathematics in the Sciences

Yue Ren

University of Durham

Rishi Sonthalia

University of California, LA

Jayden Wang

University of Texas, Austin

Program

Aug 8, 2022
13:20 - 13:30 Guido Montúfar (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany)
13:30 - 14:00 Yue Ren (University of Durham, United Kingdom)
Tropical geometry and linear regions of maxout networks
14:00 - 14:30 Johannes Müller (Max Planck Institute for Mathematics in the Sciences, Germany)
From Markov decision processes to algebraic statistics
14:30 - 15:00 Rishi Sonthalia (University of California, LA, USA)
Universality of Generalizations of Restricted Boltzmann Machines
15:00 - 15:30
15:30 - 16:00 Kathlén Kohn (KTH Royal Institute of Technology, Stockholm, Sweden)
The Geometry of Linear Convolutional Networks
16:00 - 16:30
Representing piecewise linear functions minimally:
Online

16:30 - 17:00
Lower Bounds on Neural Network Depth via (Lattice) Polytopes:
Online

17:00 - 18:00
18:00 - 00:00

Participants

Carlos Améndola

TU Berlin / MPI-MiS

Pradeep Banerjee

MPI for Mathematics in the Sciences

Mara Belotti

Technische universität berlin

Tobias Boege

MPI-MiS

Marie Brandenburg

MPI MiS

Axel Flinth

Umeå University

Moritz Grillo

TU Berlin

Marc Härkönen

Max Planck Institute for Mathematics in the Sciences

Christoph Hertrich

London School of Economics

Ben Hollering

Max Planck Institute for Mathematics in the Sciences

Naihuan Jing

North Carolina State University

Kathlén Kohn

KTH Royal Institute of Technology

Julia Lindberg

MPI

Guido Montúfar

Max Planck Institute for Mathematics in the Sciences

Johannes Müller

Max Planck Institute for Mathematics in the Sciences

Gabriel Ong

Bowdoin College

Yue Ren

University of Durham

Kemal Rose

MPI mis

Anna-Laura Sattelberger

MPI MiS

Anna Seigal

Harvard University

Linus Sommer

Universität Leipzig

Rishi Sonthalia

University of California, LA

Bernd Sturmfels

MPI Leipzig

Mikael Tchato

African institute for mathematical science

Angelica Torres

KTH Royal Institute of Technology

Hanna Tseran

MPI MiS

Jayden Wang

University of Texas, Austin

Scientific Organizers

Guido Montúfar

Max Planck Institute for Mathematics in the Sciences

Administrative Contact

Katharina Matschke

Max Planck Institute for Mathematics in the Sciences Contact via Mail