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Borlenghi, Simone
Publications (2 of 2) Show all publications
Borlenghi, S., Boman, M. & Delin, A. (2018). Modeling reservoir computing with the discrete nonlinear Schrodinger equation. Physical review. E, 98(5), Article ID 052101.
Open this publication in new window or tab >>Modeling reservoir computing with the discrete nonlinear Schrodinger equation
2018 (English)In: Physical review. E, ISSN 2470-0045, E-ISSN 2470-0053, Vol. 98, no 5, article id 052101Article in journal (Refereed) Published
Abstract [en]

We formulate, using the discrete nonlinear Schrodinger equation (DNLS), a general approach to encode and process information based on reservoir computing. Reservoir computing is a promising avenue for realizing neuromorphic computing devices. In such computing systems, training is performed only at the output level by adjusting the output from the reservoir with respect to a target signal. In our formulation, the reservoir can be an arbitrary physical system, driven out of thermal equilibrium by an external driving. The DNLS is a general oscillator model with broad application in physics, and we argue that our approach is completely general and does not depend on the physical realization of the reservoir. The driving, which encodes the object to be recognized, acts as a thermodynamic force, one for each node in the reservoir. Currents associated with these thermodynamic forces in turn encode the output signal from the reservoir. As an example, we consider numerically the problem of supervised learning for pattern recognition, using as a reservoir a network of nonlinear oscillators.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC, 2018
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
urn:nbn:se:kth:diva-239083 (URN)10.1103/PhysRevE.98.052101 (DOI)000448929900001 ()2-s2.0-85056391374 (Scopus ID)
Funder
Swedish Energy Agency, STEM P40147-1Swedish Research Council, VR 2016-05980Swedish Research Council, VR 2016-01961Swedish Research Council, VR 2015-04608
Note

QC 20181121

Available from: 2018-11-21 Created: 2018-11-21 Last updated: 2019-08-20Bibliographically approved
Borlenghi, S. & Delin, A. (2018). Stochastic Thermodynamics of Oscillators' Networks. Entropy, 20(12), Article ID 992.
Open this publication in new window or tab >>Stochastic Thermodynamics of Oscillators' Networks
2018 (English)In: Entropy, ISSN 1099-4300, E-ISSN 1099-4300, Vol. 20, no 12, article id 992Article in journal (Refereed) Published
Abstract [en]

We apply the stochastic thermodynamics formalism to describe the dynamics of systems of complex Langevin and Fokker-Planck equations. We provide in particular a simple and general recipe to calculate thermodynamical currents, dissipated and propagating heat for networks of nonlinear oscillators. By using the Hodge decomposition of thermodynamical forces and fluxes, we derive a formula for entropy production that generalises the notion of non-potential forces and makes transparent the breaking of detailed balance and of time reversal symmetry for states arbitrarily far from equilibrium. Our formalism is then applied to describe the off-equilibrium thermodynamics of a few examples, notably a continuum ferromagnet, a network of classical spin-oscillators and the Frenkel-Kontorova model of nano friction.

Place, publisher, year, edition, pages
MDPI, 2018
Keywords
stochastic thermodynamics, heat transfer, oscillators' networks, entropy production, KKER H, 1977, PHYSICAL REVIEW A, V16, P2126 me Tania, 2010, PHYSICAL REVIEW E, V82, KKER H, 1979, PHYSICA A, V95, P311 aun OM, 1998, PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, V306, P1 rlenghi Simone, 2016, PHYSICAL REVIEW E, V93, KKER H, 1975, ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, V21, P295 xty Denes, 2014, PHYSICS LETTERS B, V729, P108 sager L, 1931, PHYSICAL REVIEW, V38, P2265 rlenghi Simone, 2014, PHYSICAL REVIEW B, V89, lls R., 1980, Differential Analysis on Complex Manifolds, rlenghi Simone, 2014, PHYSICAL REVIEW LETTERS, V112, llgaard A., 2013, PHYSICAL REVIEW D, V88
National Category
Other Physics Topics
Identifiers
urn:nbn:se:kth:diva-241215 (URN)10.3390/e20120992 (DOI)000454282000100 ()2-s2.0-85058962757 (Scopus ID)
Note

QC 20190118

Available from: 2019-01-18 Created: 2019-01-18 Last updated: 2019-08-20Bibliographically approved
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