Journal cover: Notices of the American Mathematical Society

Notices of the American Mathematical Society

For issues spanning 1954 to 2015, the complete Tables of Contents (TOCs) are fully accessible only by downloading the entire issue in PDF format. From 2016 onwards, the availability and detail of TOCs have significantly improved.

Table of Contents

Featured Articles and Invitations from the AMS

An Analytical and Geometric Perspective on Adversarial Robustness

Nicolás García Trillos and Matt Jacobs

We give a brief overview of adversarial attacks and adversarial robustness and summarize some recent attempts to mathematically understand the process of robust training. One of our goals is to discuss opportunities to contribute to the development of this important applied problem.

Aperiodic Tilings, Order, and Randomness

Rodrigo Treviño

The study of aperiodic tilings is at the crossroads of many branches of mathematics, and so there are many points of view and many tools available to study them. There are also many open questions, especially for tilings in higher dimensions.

Persistence Over Posets

Woojin Kim and Facundo Mémoli

In topological data analysis, the shape of a dataset is often encoded into a system of vector spaces and linear maps over a partially ordered set (poset). We give an overview of how summaries of such systems can be constructed by using ideas from combinatorics.

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