Search Results for author: Lorenzo Orecchia

Found 7 papers, 0 papers with code

Top-$K$ ranking with a monotone adversary

no code implementations12 Feb 2024 Yuepeng Yang, Antares Chen, Lorenzo Orecchia, Cong Ma

On the analytical front, we provide a refined $\ell_\infty$ error analysis of the weighted MLE that is more explicit and tighter than existing analyses.

Conjugate Gradients and Accelerated Methods Unified: The Approximate Duality Gap View

no code implementations29 Jun 2019 Jelena Diakonikolas, Lorenzo Orecchia

This note provides a novel, simple analysis of the method of conjugate gradients for the minimization of convex quadratic functions.

Alternating Randomized Block Coordinate Descent

no code implementations ICML 2018 Jelena Diakonikolas, Lorenzo Orecchia

While various block-coordinate-descent-type methods have been studied extensively, only alternating minimization – which applies to the setting of only two blocks – is known to have convergence time that scales independently of the least smooth block.

Connected Subgraph Detection with Mirror Descent on SDPs

no code implementations ICML 2017 Cem Aksoylar, Lorenzo Orecchia, Venkatesh Saligrama

We propose a novel, computationally efficient mirror-descent based optimization framework for subgraph detection in graph-structured data.

Community Detection

Spectral Sparsification and Regret Minimization Beyond Matrix Multiplicative Updates

no code implementations16 Jun 2015 Zeyuan Allen-Zhu, Zhenyu Liao, Lorenzo Orecchia

In this paper, we provide a novel construction of the linear-sized spectral sparsifiers of Batson, Spielman and Srivastava [BSS14].

Linear Coupling: An Ultimate Unification of Gradient and Mirror Descent

no code implementations6 Jul 2014 Zeyuan Allen-Zhu, Lorenzo Orecchia

First-order methods play a central role in large-scale machine learning.

Flow-Based Algorithms for Local Graph Clustering

no code implementations10 Jul 2013 Lorenzo Orecchia, Zeyuan Allen Zhu

A very elegant algorithm for this problem has been given by Andersen and Lang [AL08] and requires solving a small number of single-commodity maximum flow computations over the whole graph G. In this paper, we introduce LocalImprove, the first cut-improvement algorithm that is local, i. e. that runs in time dependent on the size of the input set A rather than on the size of the entire graph.

Clustering Graph Clustering +1

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