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PHOCUS Project #240763

Towards a PHOtonic liquid state machine based on delay-CoUpled Systems (PHOCUS)

7th RTD Framework Programme - Specific Programme Cooperation

Theme 3 "Information and Communication Technologies"

Call identifier: FP7-ICT-2009-C

Proposal No 240763 PHOCUS

Total Budget: 1,808,566 € UIB: 305,261 € CSIC: 330,228 €

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PHOCUS Project #240763

Personnel Involved - UIB

Raúl Toral

Alessandro Scirè Miguel C. Soriano

Konstantin Hicke Jade Martínez Llinàs

Claudio Mirasso PI

http://ifisc.uib-csic.es - Mallorca – Spain 18.04.23 3

PHOCUS Project #240763

Personnel Involved - CSIC

Pere Colet

Xavier Porte Neus Oliver

Ingo Fischer

PI

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PHOCUS Project #240763

Beneficiary Number *

Beneficiary nameBeneficiary short name

Country PI

1 (coordinator) Universitat de les Illes Balears

UIB Spain C. Mirasso

2 Agencia Consejo Superior de Investigaciones Científicas

CSIC Spain I. Fischer

3 Frankfurt Institute for Advanced Studies

FIAS Germany G. Pipa

4 Universitè de Franche-Comtè

UFC-P5 France L. Larger

5 Universidad de Cantabria

UC Spain L. Pesquera

6 Potsdam Institut Fuer Klimafolgenforschhung

PIFK Germany J. Kurths

7 Vrije Universiteit Brussels

VUB Belgium J. Danckaert

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PHOCUS Project #240763

vin: input mask

wij: connection matrix

im: trained readout

Liquid State Machine Concept

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PHOCUS Project #240763

• Has recently emerged as the generic name in the field of machine learning, that are capable of solving complex classification problems

• RC is the mapping of a dynamical input onto a high dimensional state space. The input streams are converted into spatio-temporally distributed states of the reservoir. Specific computations can be realized by a mapping of these distributed states onto output states based on a trained readout.

• Three properties are necessary and sufficient conditions for powerful real time computing:

Separation property (SP): SP addresses the amount of separation between the trajectories of internal states of the system that are caused by two different input streams

Approximation property (AP): addresses the capability to distinguish and transform different internal states of the liquid into given target outputs.

Fading Memory: ||u(t)-v(t)|| < in [0,T], ||f(u)-f(v)|| < in the same interval

Reservoir Computing

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PHOCUS Project #240763

OutputInput

Input

Outputa)

b)

reduction of the number of required elements by using delay-coupled systems

performance comparison between excitable and non-excitable elements

investigation and implementation with electronic and photonics systems

exploration of improvements of the concept introducing adaptive coupling (plasticity)

The aim of this project is to design and implement a photonics realization of a liquid state machine (LSM).

A single nonlinear element with delay is capable to perform certain task: Narma Test & Voice Recogniton

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PHOCUS Project #240763

Batch 1 Batch 2 Batch 3 Batch 4 Batch 5 Batch6

short STREP 98 110 113 136 127 166

successful short STREP

25 30 25 33 27 54

full STREP/CA 23/6 29/9 25/2 31/3 26/5 53

successful full STREP/CA

16/2 20/3 19/0 19/0 13/3 30/0

Funded STREP/CA 9/1 8/1 8/0 9/0 6/2 9/0

FET Open StatisticsFET Open Statistics

<success rate> ~ 7,3% Batch 6 = 5.4%

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PHOCUS Project #240763

9 Projects Funded ~ 17 M€ EC Contribution