Search Results for author: Lorenzo Buffoni

Found 18 papers, 7 papers with code

A Short Review on Novel Approaches for Maximum Clique Problem: from Classical algorithms to Graph Neural Networks and Quantum algorithms

no code implementations13 Mar 2024 Raffaele Marino, Lorenzo Buffoni, Bogdan Zavalnij

This manuscript provides a comprehensive review of the Maximum Clique Problem, a computational problem that involves finding subsets of vertices in a graph that are all pairwise adjacent to each other.

Engineered Ordinary Differential Equations as Classification Algorithm (EODECA): thorough characterization and testing

no code implementations22 Dec 2023 Raffaele Marino, Lorenzo Buffoni, Lorenzo Chicchi, Lorenzo Giambagli, Duccio Fanelli

EODECA (Engineered Ordinary Differential Equations as Classification Algorithm) is a novel approach at the intersection of machine learning and dynamical systems theory, presenting a unique framework for classification tasks [1].

Classification Decision Making +1

Complex Recurrent Spectral Network

no code implementations12 Dec 2023 Lorenzo Chicchi, Lorenzo Giambagli, Lorenzo Buffoni, Raffaele Marino, Duccio Fanelli

This paper presents a novel approach to advancing artificial intelligence (AI) through the development of the Complex Recurrent Spectral Network ($\mathbb{C}$-RSN), an innovative variant of the Recurrent Spectral Network (RSN) model.

A Bridge between Dynamical Systems and Machine Learning: Engineered Ordinary Differential Equations as Classification Algorithm (EODECA)

no code implementations17 Nov 2023 Raffaele Marino, Lorenzo Giambagli, Lorenzo Chicchi, Lorenzo Buffoni, Duccio Fanelli

Recognizing the deep parallels between dense neural networks and dynamical systems, particularly in the light of non-linearities and successive transformations, this manuscript introduces the Engineered Ordinary Differential Equations as Classification Algorithms (EODECAs).

How a student becomes a teacher: learning and forgetting through Spectral methods

1 code implementation NeurIPS 2023 Lorenzo Giambagli, Lorenzo Buffoni, Lorenzo Chicchi, Duccio Fanelli

In theoretical ML, the teacher-student paradigm is often employed as an effective metaphor for real-life tuition.

Noise fingerprints in quantum computers: Machine learning software tools

no code implementations9 Feb 2022 Stefano Martina, Stefano Gherardini, Lorenzo Buffoni, Filippo Caruso

In this paper we present the high-level functionalities of a quantum-classical machine learning software, whose purpose is to learn the main features (the fingerprint) of quantum noise sources affecting a quantum device, as a quantum computer.

BIG-bench Machine Learning

Recurrent Spectral Network (RSN): shaping the basin of attraction of a discrete map to reach automated classification

no code implementations9 Feb 2022 Lorenzo Chicchi, Duccio Fanelli, Lorenzo Giambagli, Lorenzo Buffoni, Timoteo Carletti

A novel strategy to automated classification is introduced which exploits a fully trained dynamical system to steer items belonging to different categories toward distinct asymptotic attractors.

Network-based link prediction of scientific concepts -- a Science4Cast competition entry

1 code implementation18 Jan 2022 Joao P. Moutinho, Bruno Coutinho, Lorenzo Buffoni

We report on a model built to predict links in a complex network of scientific concepts, in the context of the Science4Cast 2021 competition.

Link Prediction

New Trends in Quantum Machine Learning

no code implementations22 Aug 2021 Lorenzo Buffoni, Filippo Caruso

Here we will give a perspective on new possible interplays between Machine Learning and Quantum Physics, including also practical cases and applications.

BIG-bench Machine Learning Data Visualization +1

On the training of sparse and dense deep neural networks: less parameters, same performance

no code implementations17 Jun 2021 Lorenzo Chicchi, Lorenzo Giambagli, Lorenzo Buffoni, Timoteo Carletti, Marco Ciavarella, Duccio Fanelli

Deep neural networks can be trained in reciprocal space, by acting on the eigenvalues and eigenvectors of suitable transfer operators in direct space.

Attribute

Mobility-based prediction of SARS-CoV-2 spreading

no code implementations16 Feb 2021 Lorenzo Chicchi, Lorenzo Giambagli, Lorenzo Buffoni, Duccio Fanelli

The rapid spreading of SARS-CoV-2 and its dramatic consequences, are forcing policymakers to take strict measures in order to keep the population safe.

Disordered Systems and Neural Networks

Improved bound on entropy production in a quantum annealer

1 code implementation2 Nov 2020 Michele Campisi, Lorenzo Buffoni

For a system described by a multivariate probability density function obeying the fluctuation theorem, the average dissipation is lower-bounded by the degree of asymmetry of the marginal distributions (namely the relative entropy between the marginal and its mirror image).

Statistical Mechanics

Machine learning in spectral domain

1 code implementation29 May 2020 Lorenzo Giambagli, Lorenzo Buffoni, Timoteo Carletti, Walter Nocentini, Duccio Fanelli

Interestingly, spectral learning limited to the eigenvalues returns a distribution of the predicted weights which is close to that obtained when training the neural network in direct space, with no restrictions on the parameters to be tuned.

BIG-bench Machine Learning

Thermodynamics of a Quantum Annealer

1 code implementation4 Mar 2020 Lorenzo Buffoni, Michele Campisi

The D-wave processor is a partially controllable open quantum system which exchanges energy with its surrounding environment (in the form of heat) and with the external time dependent control fields (in the form of work).

Quantum Physics Statistical Mechanics

A Path Towards Quantum Advantage in Training Deep Generative Models with Quantum Annealers

no code implementations4 Dec 2019 Walter Vinci, Lorenzo Buffoni, Hossein Sadeghi, Amir Khoshaman, Evgeny Andriyash, Mohammad H. Amin

The hybrid structure of QVAE allows us to deploy current-generation quantum annealers in QCH generative models to achieve competitive performance on datasets such as MNIST.

PixelVAE++: Improved PixelVAE with Discrete Prior

no code implementations26 Aug 2019 Hossein Sadeghi, Evgeny Andriyash, Walter Vinci, Lorenzo Buffoni, Mohammad H. Amin

Here we introduce PixelVAE++, a VAE with three types of latent variables and a PixelCNN++ for the decoder.

Ranked #22 on Image Generation on CIFAR-10 (bits/dimension metric)

Image Generation

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