Search Results for author: Marco Bressan

Found 10 papers, 2 papers with code

Fully-Dynamic Approximate Decision Trees With Worst-Case Update Time Guarantees

no code implementations8 Feb 2023 Marco Bressan, Mauro Sozio

We give the first algorithm that maintains an approximate decision tree over an arbitrary sequence of insertions and deletions of labeled examples, with strong guarantees on the worst-case running time per update request.

Fully-Dynamic Decision Trees

no code implementations1 Dec 2022 Marco Bressan, Gabriel Damay, Mauro Sozio

We develop the first fully dynamic algorithm that maintains a decision tree over an arbitrary sequence of insertions and deletions of labeled examples.

Active Learning of Classifiers with Label and Seed Queries

no code implementations8 Sep 2022 Marco Bressan, Nicolò Cesa-Bianchi, Silvio Lattanzi, Andrea Paudice, Maximilian Thiessen

In this work we show that, by carefully combining the two types of queries, a binary classifier can be learned in time $\operatorname{poly}(n+m)$ using only $O(m^2 \log n)$ label queries and $O\big(m \log \frac{m}{\gamma}\big)$ seed queries; the result extends to $k$-class classifiers at the price of a $k! k^2$ multiplicative overhead.

Active Learning

On Margin-Based Cluster Recovery with Oracle Queries

no code implementations NeurIPS 2021 Marco Bressan, Nicolò Cesa-Bianchi, Silvio Lattanzi, Andrea Paudice

We study an active cluster recovery problem where, given a set of $n$ points and an oracle answering queries like "are these two points in the same cluster?

Exact and Approximate Pattern Counting in Degenerate Graphs: New Algorithms, Hardness Results, and Complexity Dichotomies

no code implementations9 Mar 2021 Marco Bressan, Marc Roth

We study the problems of counting the homomorphisms, counting the copies, and counting the induced copies of a $k$-vertex graph $H$ in a $d$-degenerate $n$-vertex graph $G$.

Computational Complexity Data Structures and Algorithms

Exact Recovery of Clusters in Finite Metric Spaces Using Oracle Queries

no code implementations31 Jan 2021 Marco Bressan, Nicolò Cesa-Bianchi, Silvio Lattanzi, Andrea Paudice

Previous results show that clusters in Euclidean spaces that are convex and separated with a margin can be reconstructed exactly using only $O(\log n)$ same-cluster queries, where $n$ is the number of input points.

Efficient and near-optimal algorithms for sampling small connected subgraphs

no code implementations23 Jul 2020 Marco Bressan

We study the following problem: given an integer $k \ge 3$ and a simple graph $G$, sample a connected induced $k$-node subgraph of $G$ uniformly at random.

Graph Mining Data Structures and Algorithms Discrete Mathematics Social and Information Networks

Exact Recovery of Mangled Clusters with Same-Cluster Queries

no code implementations NeurIPS 2020 Marco Bressan, Nicolò Cesa-Bianchi, Silvio Lattanzi, Andrea Paudice

Given a finite set of input points, and an oracle revealing whether any two points lie in the same cluster, our goal is to recover all clusters exactly using as few queries as possible.

Clustering

Motivo: fast motif counting via succinct color coding and adaptive sampling

1 code implementation4 Jun 2019 Marco Bressan, Stefano Leucci, Alessandro Panconesi

To give an idea of the improvements, in $40$ minutes Motivo counts $7$-nodes motifs on a graph with $65$M nodes and $1. 8$B edges; this is $30$ and $500$ times larger than the state of the art, respectively in terms of nodes and edges.

Correlation Clustering with Adaptive Similarity Queries

1 code implementation NeurIPS 2019 Marco Bressan, Nicolò Cesa-Bianchi, Andrea Paudice, Fabio Vitale

In this work we investigate correlation clustering as an active learning problem: each similarity score can be learned by making a query, and the goal is to minimise both the disagreements and the total number of queries.

Active Learning Clustering

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