Search Results for author: Alessandro Epasto

Found 19 papers, 12 papers with code

A Scalable Algorithm for Individually Fair K-means Clustering

1 code implementation9 Feb 2024 Mohammadhossein Bateni, Vincent Cohen-Addad, Alessandro Epasto, Silvio Lattanzi

We present a scalable algorithm for the individually fair ($p$, $k$)-clustering problem introduced by Jung et al. and Mahabadi et al.

Clustering

Differentially Private Clustering in Data Streams

no code implementations14 Jul 2023 Alessandro Epasto, Tamalika Mukherjee, Peilin Zhong

In this work, we provide the first differentially private streaming algorithms for $k$-means and $k$-median clustering of $d$-dimensional Euclidean data points over a stream with length at most $T$ using $poly(k, d,\log(T))$ space to achieve a constant multiplicative error and a $poly(k, d,\log(T))$ additive error.

Clustering

Measuring Re-identification Risk

3 code implementations12 Apr 2023 CJ Carey, Travis Dick, Alessandro Epasto, Adel Javanmard, Josh Karlin, Shankar Kumar, Andres Munoz Medina, Vahab Mirrokni, Gabriel Henrique Nunes, Sergei Vassilvitskii, Peilin Zhong

In this work, we present a new theoretical framework to measure re-identification risk in such user representations.

Differentially-Private Hierarchical Clustering with Provable Approximation Guarantees

1 code implementation31 Jan 2023 Jacob Imola, Alessandro Epasto, Mohammad Mahdian, Vincent Cohen-Addad, Vahab Mirrokni

Then, we exhibit a polynomial-time approximation algorithm with $O(|V|^{2. 5}/ \epsilon)$-additive error, and an exponential-time algorithm that meets the lower bound.

Clustering Stochastic Block Model

Differentially Private Graph Learning via Sensitivity-Bounded Personalized PageRank

1 code implementation14 Jul 2022 Alessandro Epasto, Vahab Mirrokni, Bryan Perozzi, Anton Tsitsulin, Peilin Zhong

Personalized PageRank (PPR) is a fundamental tool in unsupervised learning of graph representations such as node ranking, labeling, and graph embedding.

Graph Embedding Graph Learning +1

Smooth Anonymity for Sparse Binary Matrices

no code implementations13 Jul 2022 Hossein Esfandiari, Alessandro Epasto, Vahab Mirrokni, Andres Munoz Medina, Sergei Vassilvitskii

When working with user data providing well-defined privacy guarantees is paramount.

Smoothly Bounding User Contributions in Differential Privacy

no code implementations NeurIPS 2020 Alessandro Epasto, Mohammad Mahdian, Jieming Mao, Vahab Mirrokni, Lijie Ren

But at the same time, more noise might need to be added to the algorithm in order to keep the algorithm differentially private and this might hurt the algorithm’s performance.

Optimal Approximation - Smoothness Tradeoffs for Soft-Max Functions

no code implementations NeurIPS 2020 Alessandro Epasto, Mohammad Mahdian, Vahab Mirrokni, Emmanouil Zampetakis

A soft-max function has two main efficiency measures: (1) approximation - which corresponds to how well it approximates the maximum function, (2) smoothness - which shows how sensitive it is to changes of its input.

Optimal Approximation -- Smoothness Tradeoffs for Soft-Max Functions

no code implementations22 Oct 2020 Alessandro Epasto, Mohammad Mahdian, Vahab Mirrokni, Manolis Zampetakis

A soft-max function has two main efficiency measures: (1) approximation - which corresponds to how well it approximates the maximum function, (2) smoothness - which shows how sensitive it is to changes of its input.

Sliding Window Algorithms for k-Clustering Problems

1 code implementation NeurIPS 2020 Michele Borassi, Alessandro Epasto, Silvio Lattanzi, Sergei Vassilvitskii, Morteza Zadimoghaddam

The sliding window model of computation captures scenarios in which data is arriving continuously, but only the latest $w$ elements should be used for analysis.

Data Structures and Algorithms

Fair Correlation Clustering

1 code implementation6 Feb 2020 Sara Ahmadian, Alessandro Epasto, Ravi Kumar, Mohammad Mahdian

We define a fairlet decomposition with cost similar to the $k$-median cost and this allows us to obtain approximation algorithms for a wide range of fairness constraints.

Clustering Combinatorial Optimization +1

Clustering without Over-Representation

no code implementations29 May 2019 Sara Ahmadian, Alessandro Epasto, Ravi Kumar, Mohammad Mahdian

In this paper we consider clustering problems in which each point is endowed with a color.

Clustering

Is a Single Embedding Enough? Learning Node Representations that Capture Multiple Social Contexts

2 code implementations6 May 2019 Alessandro Epasto, Bryan Perozzi

Recent interest in graph embedding methods has focused on learning a single representation for each node in the graph.

Graph Embedding Link Prediction

Splitter: Learning Node Representations that Capture Multiple Social Contexts

1 code implementation WWW 2019 Alessandro Epasto, Bryan Perozzi

Recent interest in graph embedding methods has focused on learning a single representation for each node in the graph.

Graph Embedding Link Prediction +1

TRIÈST: Counting Local and Global Triangles in Fully-dynamic Streams with Fixed Memory Size

1 code implementation24 Feb 2016 Lorenzo De Stefani, Alessandro Epasto, Matteo Riondato, Eli Upfal

We present TRI\`EST, a suite of one-pass streaming algorithms to compute unbiased, low-variance, high-quality approximations of the global and local (i. e., incident to each vertex) number of triangles in a fully-dynamic graph represented as an adversarial stream of edge insertions and deletions.

Data Structures and Algorithms Databases G.2.2; H.2.8

On a Model for Integrated Information

1 code implementation31 Dec 2009 Alessandro Epasto, Enrico Nardelli

In this paper we give a thorough presentation of a model proposed by Tononi et al. for modeling \emph{integrated information}, i. e. how much information is generated in a system transitioning from one state to the next one by the causal interaction of its parts and \emph{above and beyond} the information given by the sum of its parts.

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