190 citations · 1.4k across the 62 of their papers we have counts for
66 papers
Temporal information processing on a 4,500-qubit quantum annealer
Antonio Sannia, Roberto Menta, Pratik Sathe +7
Quantum machine learning could uncover statistical structure beyond the reach of classical models, but this requires quantum models large and expressive enough to be useful and che…
On the combinatorics of Lotka-Volterra equations
Francesco Caravelli, Yen Ting Lin
We study an approach to obtaining the exact formal solution of the 2-species Lotka-Volterra equation based on combinatorics and generating functions. By employing a combination of…
Cycle equivalence classes, orthogonal Weingarten calculus, and the mean field theory of memristive systems
Francesco Caravelli
It has been recently noted that for a class of dynamical systems with explicit conservation laws represented via projector operators the dynamics can be understood in terms of lowe…
Correlation between upstreamness and downstreamness in random global value chains
Silvia Bartolucci, Fabio Caccioli, Francesco Caravelli +1
This paper is concerned with upstreamness and downstreamness of industries and countries. Upstreamness and downstreamness measure respectively the average distance of an industrial…
Complex field reversal dynamics in nanomagnetic systems
Michael Saccone, Francesco Caravelli
Nanomagnetic materials, built from thin, patterned films of ferromagnetic materials, began as analogues to frustrated magnetism. Their low energy of operation and emergent properti…
Mean field theory of self-organizing memristive connectomes
Francesco Caravelli, Gianluca Milano, Carlo Ricciardi +1
Biological neuronal networks are characterized by nonlinear interactions and complex connectivity. Given the growing impetus to build neuromorphic computers, understanding physical…
Neuromorphic Overparameterisation and Few-Shot Learning in Multilayer Physical Neural Networks
Kilian D. Stenning, Jack C. Gartside, Luca Manneschi +10
Physical neuromorphic computing, exploiting the complex dynamics of physical systems, has seen rapid advancements in sophistication and performance. Physical reservoir computing, a…
From Vertices to Vortices in magnetic nanoislands
Michael Saccone, Jack C. Gartside, Kilian D. Stenning +2
Recent studies in magnetic nanolithography show that a variety of complex magnetic states emerge as a function of a single magnetic island's aspect ratio. We propose a model which,…
Direct observation of a dynamical glass transition in a nanomagnetic artificial Hopfield network
Michael Saccone, Francesco Caravelli, Kevin Hofhuis +7
Spin glasses, generally defined as disordered systems with randomized competing interactions, are a widely investigated complex system. Theoretical models describing spin glasses a…
Some exactly solvable and tunable frustrated spin models
Francesco Caravelli
We discuss three exactly solvable spin models of geometric frustration. First, we discuss a 1-parameter subfamily of the 16 vertex model, which can be mapped to a planar Ising mode…
Memristive effects in nanopatterned permalloy Kagomé array
Wesley B. J. Fonseca, Flavio Garcia, Francesco Caravelli +1
We study memristive effects in Kagomé nanopatterned permalloy. We observe that at low frequencies a thermistor effect is present, a phenomenon arising due to the lithography and ab…
Projective Embedding of Dynamical Systems: uniform mean field equations
Francesco Caravelli, Fabio L. Traversa, Michele Bonnin +1
We study embeddings of continuous dynamical systems in larger dimensions via projector operators. We call this technique PEDS, projective embedding of dynamical systems, as the sta…
The Bellman equation and optimal local flipping strategies for kinetic Ising models
Francesco Caravelli
There is a deep connection between thermodynamics, information and work extraction. Ever since the birth of thermodynamics, various types of Maxwell demons have been introduced in…
Macroscopic Magnetic Monopoles in a 3D-Printed Mechano-Magnet
Hamilton A. Teixeira, Maria F. Bernardo, Michael D. Saccone +3
The notion of magnetic monopoles has puzzled physicists since the introduction of Maxwell's Equations and famously Dirac had hypothesized them in the context of quantum mechanics.…
Anisotropic MagnetoMemristance
Francesco Caravelli, Ezio Iacocca, Gia-Wei Chern +2
In the last decade, nanoscale resistive devices with memory have been the subject of intense study because of their possible use in brain-inspired computing. However, operational e…
Reconfigurable Training and Reservoir Computing in an Artificial Spin-Vortex Ice via Spin-Wave Fingerprinting
Jack C. Gartside, Kilian D. Stenning, Alex Vanstone +6
Strongly-interacting artificial spin systems are moving beyond mimicking naturally-occurring materials to emerge as versatile functional platforms, from reconfigurable magnonics to…
"Spectrally gapped" random walks on networks: a Mean First Passage Time formula
Silvia Bartolucci, Fabio Caccioli, Francesco Caravelli +1
We derive an approximate but explicit formula for the Mean First Passage Time of a random walker between a source and a target node of a directed and weighted network. The formula…
Global minimization via classical tunneling assisted by collective force field formation
Francesco Caravelli, Forrest C. Sheldon, Fabio L. Traversa
Simple dynamical models can produce intricate behaviors in large networks. These behaviors can often be observed in a wide variety of physical systems captured by the network of in…
On the Degeneracy of Spin Ice Graphs, and its Estimate via the Bethe Permanent
Francesco Caravelli, Michael Saccone, Cristiano Nisoli
The concept of spin ice can be extended to a general graph. We study the degeneracy of spin ice graph on arbitrary interaction structures via graph theory. Via the mapping of spin…
Energy storage and coherence in closed and open quantum batteries
Francesco Caravelli, Bin Yan, Luis Pedro Garcia-Pintos +1
We study the role of coherence in closed and open quantum batteries. We obtain upper bounds to the work performed or energy exchanged by both closed and open quantum batteries in t…
Random Matrix Theory of the Isospectral twirling
Salvatore F. E. Oliviero, Lorenzo Leone, Francesco Caravelli +1
We present a systematic construction of probes into the dynamics of isospectral ensembles of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of…
Phases of memristive circuits via an interacting disorder approach
Francesco Caravelli, Forrest C. Sheldon
We study the phase diagram of memristive circuit models in the replica-symmetric case using a novel Lyapunov function for the dynamics of these devices. Effectively, the model we p…
Fully analog memristive circuits for optimization tasks: a comparison
Forrest C. Sheldon, Francesco Caravelli, Carleton Coffrin
We introduce a Lyapunov function for the dynamics of memristive circuits, and compare the effectiveness of memristors in minimizing the function to widely used optimization softwar…
Upstreamness and downstreamness in input-output analysis from local and aggregate information
Silvia Bartolucci, Fabio Caccioli, Francesco Caravelli +1
Ranking sectors and countries within global value chains is of paramount importance to estimate risks and forecast growth in large economies. However, this task is often non-trivia…