Notices of the American Mathematical Society
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Featured Articles and Invitations from the AMS
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Applied Stochastic Analysis
Bring Your Perspective to an AMS Committee
Extremal Aspects of Representation Theory
Prakash Belkale and Joshua Kiers
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Functional Analysis, Second Edition
On the Geometry of Deep Learning
Randall Balestriero, Ahmed Imtiaz Humayun and Richard G. Baraniuk
In this paper, we overview one promising avenue of progress at the mathematical foundation of deep learning: the connection between deep networks and function approximation by affine splines (continuous piecewise linear functions in multiple dimensions). In particular, we overview work over the past decade on understanding certain geometrical properties of a deep network’s affine spline mapping, in particular how it tessellates its input space.
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Early Career, Graduates, Education
Other articles of note
- An Interview with Bryna Kra
- Bookshelf
- Editorial
- In Memoriam—Alan H. Durfee (1943–2024)
- Robert Harington on Trends in AMS Publishing
- Selected Results from the Mathematical Conventions Survey
- Triangulating Ancient Egyptian Mathematics
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