Search Results for author: Lorenzo Giambagli

Found 8 papers, 2 papers with code

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.

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.

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

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

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