Their method is a novel modification of Goldstein's classical subgradient method. Their work, however,makesuseofanonstandard subgradient oracle model andrequires the function to be directionally differentiable.

Do the main claims made in the abstract and introduction accurately reflect the paper's Did you discuss any potential negative societal impacts of your work? Did you include the code, data, and instructions needed to reproduce the main experimental results (either in the supplemental material or as a URL)? [Y es] Code and Did you specify all the training details (e.g., data splits, hyperparameters, how they Did you report error bars (e.g., with respect to the random seed after running experiments multiple times)? Did you include the total amount of compute and the type of resources used (e.g., type Did you mention the license of the assets? Did you include any new assets either in the supplemental material or as a URL? [Y es] We will provide our code. Did you discuss whether and how consent was obtained from people whose data you're If you used crowdsourcing or conducted research with human subjects... (a) The centered dot can sometimes be omitted if there is no ambiguity.

How does a human being distinguish the motions of a piece of paper and a piece of cloth? A high-school physics teacher might answer that they are both tangentially inextensible but cloth cannot resist any bending force from the normal direction.

Randomized smoothing has been shown to provide good certified-robustness guarantees for high-dimensional classification problems.

Themeasurementmodel corresponds toy = Ax + e, where x is the true solution ande is the noise.

These clusters of neurons form large hierarchical modules along the cortex.