Search Results for author: Abhratanu Dutta

Found 4 papers, 1 papers with code

On Robustness to Adversarial Examples and Polynomial Optimization

1 code implementation NeurIPS 2019 Pranjal Awasthi, Abhratanu Dutta, Aravindan Vijayaraghavan

In particular, we leverage this connection to (a) design computationally efficient robust algorithms with provable guarantees for a large class of hypothesis, namely linear classifiers and degree-2 polynomial threshold functions (PTFs), (b) give a precise characterization of the price of achieving robustness in a computationally efficient manner for these classes, (c) design efficient algorithms to certify robustness and generate adversarial attacks in a principled manner for 2-layer neural networks.

Clustering Stable Instances of Euclidean k-means

no code implementations4 Dec 2017 Abhratanu Dutta, Aravindan Vijayaraghavan, Alex Wang

We design efficient algorithms that provably recover the optimal clustering for instances that are additive perturbation stable.

Clustering

Clustering Stable Instances of Euclidean k-means.

no code implementations NeurIPS 2017 Aravindan Vijayaraghavan, Abhratanu Dutta, Alex Wang

To address this disconnect, we study the following question: what properties of real-world instances will enable us to design efficient algorithms and prove guarantees for finding the optimal clustering?

Clustering

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