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12/24/2022
Triplet Reconstruction and all other Phylogenetic CSPs are Approximation Resistant
We study the natural problem of Triplet Reconstruction (also Rooted Trip...
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10/11/2022
On Scrambling Phenomena for Randomly Initialized Recurrent Networks
Recurrent Neural Networks (RNNs) frequently exhibit complicated dynamics...
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08/03/2022
Efficiently Computing Nash Equilibria in Adversarial Team Markov Games
Computing Nash equilibrium policies is a central problem in multi-agent ...
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10/19/2021
Expressivity of Neural Networks via Chaotic Itineraries beyond Sharkovsky's Theorem
Given a target function f, how large must a neural network be in order t...
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02/23/2021
Maximizing Agreements for Ranking, Clustering and Hierarchical Clustering via MAX-CUT
In this paper, we study a number of well-known combinatorial optimizatio...
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01/26/2021
Hierarchical Clustering via Sketches and Hierarchical Correlation Clustering
Recently, Hierarchical Clustering (HC) has been considered through the l...
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10/04/2020
Inapproximability for Local Correlation Clustering and Dissimilarity Hierarchical Clustering
We present hardness of approximation results for Correlation Clustering ...
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10/01/2020
From Trees to Continuous Embeddings and Back: Hyperbolic Hierarchical Clustering
Similarity-based Hierarchical Clustering (HC) is a classical unsupervise...
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03/02/2020
Better Depth-Width Trade-offs for Neural Networks through the lens of Dynamical Systems
The expressivity of neural networks as a function of their depth, width ...
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12/15/2019
Bisect and Conquer: Hierarchical Clustering via Max-Uncut Bisection
Hierarchical Clustering is an unsupervised data analysis method which ha...
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12/09/2019
Depth-Width Trade-offs for ReLU Networks via Sharkovsky's Theorem
Understanding the representational power of Deep Neural Networks (DNNs) ...
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11/29/2019
Adversarially Robust Low Dimensional Representations
Adversarial or test time robustness measures the susceptibility of a mac...
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12/27/2018
Hierarchical Clustering for Euclidean Data
Recent works on Hierarchical Clustering (HC), a well-studied problem in ...
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10/19/2018
Bilu-Linial stability, certified algorithms and the Independent Set problem
We study the notion of Bilu-Linial stability in the context of Independe...
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08/07/2018
Hierarchical Clustering better than Average-Linkage
Hierarchical Clustering (HC) is a widely studied problem in exploratory ...
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07/03/2018
On the Computational Power of Online Gradient Descent
We prove that the evolution of weight vectors in online gradient descent...
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05/24/2018