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The processing and learning of temporal patterns: from behaviour to computational models

Being able to successfully and adaptively interact with our environment often requires us to process and learn various forms of temporal regularities, involving different types of temporal features and structures. In many cases the presence of such regularities makes us experience a series of events as a temporal pattern. We often identify a series of events as a pattern based on its temporal properties, like the duration of the events, their order and temporal relationship. Temporal pattern...

Defining the functional properties of chronotopic maps in the human brain:the role of temporal context and stimulus features

How is millisecond unit of time represented in the human brain? Recent empirical evidences have shown that tuning and topography lay at the foundation of duration representation in the human brain. Duration-selective neuronal populations have been found in wide network of brain areas from occipital to frontal regions. These duration-selective neuronal populations are also topographically organized along the cortical surface as to form “chronomaps”. Through a series of high-spatial resolution ...

A Gradient Flow Equation for Optimal Control Problems With End-point Cost

In this paper, we consider a control system of the form (x) over dot = F(x)u, linear in the control variable u. Given a fixed starting point, we study a finite-horizon optimal control problem, where we want to minimize a weighted sum of an end-point cost and the squared 2-norm of the control. This functional induces a gradient flow on the Hilbert space of admissible controls, and we prove a convergence result by means of the Lojasiewicz-Simon inequality. Finally, we show that, if we let the w...

Equilibrium measure for a nonlocal dislocation energy with physical confinement

In this paper, we characterize the equilibrium measure for a family of nonlocal and anisotropic energies I-alpha that describe the interaction of particles confined in an elliptic subset of the plane. The case alpha = 0 corresponds to purely Coulomb interactions, while the case alpha = 1 describes interactions of positive edge dislocations in the plane. The anisotropy into the energy is tuned by the parameter a and favors the alignment of particles. We show that the equilibrium measure is com...

DEEP LEARNING APPROXIMATION OF DIFFEOMORPHISMS VIA LINEAR-CONTROL SYSTEMS

In this paper we propose a Deep Learning architecture to approximate diffeomorphisms diffeotopic to the identity. We consider a control system of the form (x)over dot = Sigma(l)(i=1) F-i(x)u(i), with linear dependence in the controls, and we use the corresponding flow to approximate the action of a diffeomorphism on a compact ensemble of points. Despite the simplicity of the control system, it has been recently shown that a Universal Approximation Property holds. The problem of minimizing the...

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Tipologia
  • 1 Article8944
  • 8 Thesis2127
  • 4 Conference object704
  • 2 Book part294
  • 3 Book50
  • 5 Other25
  • 6 Patent20
  • 7 Trusteeship14
Autore
  • Legname, Giuseppe329
  • Baccigalupi, Carlo319
  • Danese, Luigi316
  • Bressan, Alessandro229
  • Viel, Matteo221
  • Baroni, Stefano215
  • Calabrese, Pasquale205
  • Tosatti, Erio200
  • De Zotti, Gianfranco196
  • Liberati, Stefano193
Data di pubblicazione
  • In corso di stampa17
  • 2020 - 20231139
  • 2010 - 20195189
  • 2000 - 20093460
  • 1990 - 19991666
  • 1980 - 1989617
  • 1970 - 197976
  • 1962 - 196914
Editore
  • SISSA2102
  • Springer99
  • World Scientific45
  • Elsevier20
  • Cambridge University Press19
  • Oxford University Press18
  • American Institute of Physics13
  • Springer International Publishing13
  • IEEE12
  • Sissa Medialab Srl12
Rivista
  • MONTHLY NOTICES OF THE ROYAL ASTR...410
  • ASTRONOMY & ASTROPHYSICS366
  • JOURNAL OF HIGH ENERGY PHYSICS362
  • PHYSICAL REVIEW. B, CONDENSED MAT...338
  • PHYSICAL REVIEW LETTERS335
  • THE ASTROPHYSICAL JOURNAL219
  • PHYSICAL REVIEW D, PARTICLES, FIE...194
  • JOURNAL OF COSMOLOGY AND ASTROPAR...189
  • NUCLEAR PHYSICS. B189
  • PHYSICS LETTERS. SECTION B176
Serie
  • AIP CONFERENCE PROCEEDINGS18
  • LECTURE NOTES IN PHYSICS14
  • LECTURE NOTES IN COMPUTATIONAL SC...10
  • PROCEEDINGS OF SPIE, THE INTERNAT...10
  • ASTRONOMICAL SOCIETY OF THE PACIF...7
  • LECTURE NOTES IN COMPUTER SCIENCE7
  • PROCEEDINGS OF THE IEEE CONFERENC...7
  • LECTURE NOTES IN MATHEMATICS6
  • SPRINGER INDAM SERIES6
  • CISM INTERNATIONAL CENTRE FOR MEC...5
Settore disciplinare
  • Settore FIS/05 - Astronomia e Ast...1785
  • Settore FIS/03 - Fisica della Mat...1530
  • Settore FIS/02 - Fisica Teorica, ...1340
  • Settore MAT/05 - Analisi Matematica588
  • Settore MAT/07 - Fisica Matematica457
  • Settore BIO/09 - Fisiologia448
  • Settore M-PSI/02 - Psicobiologia ...351
  • Settore MAT/08 - Analisi Numerica219
  • Settore MAT/03 - Geometria218
  • Settore BIO/10 - Biochimica114
Keyword
  • Cosmic background radiation87
  • Astronomy and Astrophysics72
  • Animals66
  • Physics and Astronomy (all)64
  • Cosmology: observations62
  • galaxies: evolution61
  • Humans61
  • dark matter59
  • Space and Planetary Science59
  • Condensed Matter Physics58
Lingua
  • eng11148
  • ita375
  • Inglese44
  • fra10
  • und5
  • Italiano3
  • rus2
  • English1
  • ger1
  • spa1
Accesso al fulltext
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  • open4316
  • reserved3056
  • partially open195
  • embargoed47