Ergodic observables in non-ergodic systems: the example of the harmonic chain
In the framework of statistical mechanics the properties of macroscopic systems are deduced
starting from the laws of their microscopic dynamics. One of the key assumptions in this …
starting from the laws of their microscopic dynamics. One of the key assumptions in this …
A Short Review on Novel Approaches for Maximum Clique Problem: from Classical algorithms to Graph Neural Networks and Quantum algorithms
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 …
computational problem that involves finding subsets of vertices in a graph that are all …
Complex recurrent spectral network
This paper presents a novel approach to advancing artificial intelligence (AI) through the
development of the Complex Recurrent Spectral Network (ℂ-RSN), an innovative variant of …
development of the Complex Recurrent Spectral Network (ℂ-RSN), an innovative variant of …
Phase transitions in the mini-batch size for sparse and dense two-layer neural networks
R Marino, F Ricci-Tersenghi - Machine Learning: Science and …, 2024 - iopscience.iop.org
The use of mini-batches of data in training artificial neural networks is nowadays very
common. Despite its broad usage, theories explaining quantitatively how large or small the …
common. Despite its broad usage, theories explaining quantitatively how large or small the …
Where do hard problems really exist?
R Marino - arxiv preprint arxiv:2309.16253, 2023 - arxiv.org
This chapter delves into the realm of computational complexity, exploring the world of
challenging combinatorial problems and their ties with statistical physics. Our exploration …
challenging combinatorial problems and their ties with statistical physics. Our exploration …
Engineered ordinary differential equations as classification algorithm (eodeca): thorough characterization and testing
EODECA (Engineered Ordinary Differential Equations as Classification Algorithm) is a novel
approach at the intersection of machine learning and dynamical systems theory, presenting …
approach at the intersection of machine learning and dynamical systems theory, presenting …
Energy landscapes of some matching-problem ensembles
T Kahlke, AK Hartmann - Journal of Physics: Complexity, 2023 - iopscience.iop.org
The maximum-weight matching problem and the behavior of its energy landscape is
numerically investigated. We apply a perturbation method adapted from the analysis of spin …
numerically investigated. We apply a perturbation method adapted from the analysis of spin …
Robustness of Excitations in the Random Dimer Model
D Reti - arxiv preprint arxiv:2207.14400, 2022 - arxiv.org
The ground state solution of the random dimer model is at a critical point after, which has
been shown with random link excitations. In this paper we test the robustness of the random …
been shown with random link excitations. In this paper we test the robustness of the random …
[PDF][PDF] Real-Space Renormalisation Group as Lossy Compression
DE Gökmen - 2024 - research-collection.ethz.ch
Successful theories of emergent behaviour in physics involve collective building blocks,
typically identified using symmetries and conservation laws. For example, hydrodynamics …
typically identified using symmetries and conservation laws. For example, hydrodynamics …
Critical phenomena in Random Dimer Models
R Fabbricatore - 2021 - air.unimi.it
This thesis introduces the concept of criticality and universal behaviour for vastly different
systems. The assumption of conformal invariance for systems at critical temperature is …
systems. The assumption of conformal invariance for systems at critical temperature is …