Mathematics of Multilevel Anticipatory Complex Systems

FET project

EC funded

Under FP7

Publications

Atay, Fatihcan M.: On the duality between consensus problems and Markov processes, with application to delay systems
In: Markov processes and related fields, 22 (2016) 3, p. 537-553
MIS-Preprint: 110/2014

Atay, Fatihcan M. ; Banisch, Sven ; Blanchard, Philippe ; Cessac, Bruno ; Olbrich, Eckehard and DimitriVolchenkov: Perspectives on multi-level dynamics

Banisch, Sven: Markov chain aggregation for agent-based models
Cham : Springer, 2016. - XIV, 195 p.
(Understanding complex systems)
ISBN 978-3-319-24875-2 ISBN 978-3-319-24877-6
DOI: 10.1007/978-3-319-24877-6

Horstmeyer, Leonhard and Fatihcan M.Atay: Characterization of exact lumpability for vector fields on smooth manifolds
In: Differential geometry and its applications, 48 (2016), p. 46-60
DOI: 10.1016/j.difgeo.2016.06.001 ARXIV: https://arxiv.org/abs/1607.01237

Hua, Bobo and Fatihcan M.Atay: On the symmetry of the Laplacian spectra of signed graphs
In: Linear algebra and its applications, 495 (2016), p. 24-37
MIS-Preprint: 114/2014 DOI: 10.1016/j.laa.2016.01.027 ARXIV: http://arxiv.org/abs/1411.6113

Lamarche-Perrin, Robin ; Banisch, Sven and EckehardOlbrich: The information Bottleneck method for optimal prediction of multilevel agent-based systems
In: Advances in complex systems, 19 (2016), 1650002
MIS-Preprint: 55/2015 DOI: 10.1142/S0219525916500028

Acan, Huseyin ; Collevecchio, Andrea ; Mehrabian, Abbas and NickWormald: On the push and pull protocol for rumour spreading
In: Proceedings of the 2015 ACM symposium on principles of distributed computing : Donostia-San Sebastián, Spain ; July 21 - 23, 2015 / ChryssisGeorgiou (ed.)
New York : ACM, 2015. - P. 405-412
DOI: 10.1145/2767386.2767416 ARXIV: http://arxiv.org/abs/1411.0948

Atay, Fatihcan M. and DinaIrofti: A delayed consensus algorithm in networks of anticipatory agents
MIS-Preprint: 72/2015

Atay, Fatihcan M. and LaviniaRoncoroni: On the regularity of lumped nonlinear dynamics in Banach spaces
MIS-Preprint: 64/2015

Atay, Fatihcan M. and HaiboRuan: Symmetry analysis of coupled scalar systems under time delay
In: Nonlinearity, 28 (2015) 3, p. 795-824
MIS-Preprint: 110/2013 DOI: 10.1088/0951-7715/28/3/795

Banisch, Sven and RicardoLima: Markov chain aggregation for simple agent-based models on symmetric networks: the voter model
In: Advances in complex systems, 18 (2015) 3-4, 1550011
DOI: 10.1142/S0219525915500113 ARXIV: http://arxiv.org/abs/1209.3902

Beradi, Simone and GabrieleTedeschi: From banks' strategies to financial (in)stability
In: Social science research network
DOI: 10.2139/ssrn.2639272

Bertschinger, Nils and OliverPfante: Inferring volatility in the Heston model and its relatives : an information theoretical approach
In: Journal of financial econometrics, Vol. not yet known, pp. not yet known

Bossy, Mireille ; Faugeras, Olivier and DenisTalay: Clarification and complement to 'Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons'
In: Journal of mathematical neuroscience, 5 (2015), 19
DOI: 10.1186/s13408-015-0031-8 ARXIV: http://arxiv.org/abs/1412.7728

Caiani, Alessandro ; Godin, Antoine ; Caverzasi, Eugenio ; Gallegati, Mauro ; Kinsella, Stephen and Joseph E.Stiglitz: Agent based-stock flow consistent macroeconomics : towards a benchmark model
In: Social science research network
DOI: 10.2139/ssrn.2664125

Chessa, Manuela ; Medathati, N. V. Kartheek ; Masson, Guillaume S. ; Solari, Fabio and PierreKornprobst: Decoding MT motion response for optical flow estimation : an experimental evaluation
In: Proceeding of the 23rd signal processing conference (EUSIPCO), 2015
LINK: https://hal.inria.fr/hal-01215526

Fasoli, Diego ; Faugeras, Olivier and StefanoPanzeri: A formalism for evaluating analytically the cross-correlation structure of a Hopfield network model
In: Journal of mathematical neuroscience, 5 (2015), 6
DOI: 10.1186/s13408-015-0020-y

Faugeras, Olivier and JamesMacLaurin: Asymptotic description of neural networks with correlated synaptic weights
In: Entropy, 17 (2015) 7, p. 4701-4743
DOI: 10.3390/e17074701 ARXIV: http://arxiv.org/abs/1311.4400

Gavetti, Giovanni and MassimoWarglien: A model of collective interpretation
In: Organization science, 26 (2015) 5, p. 1263-1283
DOI: 10.1287/orsc.2015.0987

Horstmeyer, Leonhard and Fatihcan M.Atay: Characterization of exact lumpability of smooth dynamics on manifolds
MIS-Preprint: 70/2015

Jonson, Emma ; Lundberg, Liv and KristianLindgren: Impacts on stability of interdependencies between markets in a cobweb model
In: Advances in artificial economics / FrédéricAmblard... (eds.)
Cham : Springer, 2015. - P. 195-205
(Lecture notes in economics and mathematical systems ; 676)
DOI: 10.1007/978-3-319-09578-3_16

Landini, Simone ; Gallegati, Mauro and Joseph E.Stiglitz: Economies with heterogeneous interacting learning agents
In: Journal of economic interaction and coordination, 10 (2015) 1, p. 91-118
DOI: 10.1007/s11403-013-0121-1

LiCalzi, Marco and NadiaMaagli: Bargaining over a common categorisation
In: Synthese : an international journal for epistemology, methodology and philosophy of science devoted to present-day cultural and scientific life, Vol. not yet known,, p. 1-19
DOI: 10.1007/s11229-015-0790-5

Lindgren, Kristian: An information-theoretic perspective on coarse-graining, including the transition from micro to macro
In: Entropy, 17 (2015) 5, p. 3332-3351
DOI: 10.3390/e17053332

Lindgren, Kristian ; Jonson, Emma and LivLundberg: Projection of a heterogenous agent-based production economy model to a closed dynamics of aggregate variables
In: Advances in complex systems, 18 (2015), 1550012
DOI: 10.1142/S0219525915500125

Lu, Wenlian and Fatihcan M.Atay: Local pinning of networks of multi-agent systems with transmission and pinning delays
In: IEEE transactions on automatic control, Vol. not yet known, pp. not yet known
MIS-Preprint: 117/2014

Lundberg, Liv ; Jonson, Emma ; Lindgren, Kristian ; Bryngelsson, David and VilhelmVerendel: A cobweb model of land-use competition between food and bioenergy crops
In: Journal of economic dynamics and control, 53 (2015), p. 1-14
DOI: 10.1016/j.jedc.2015.01.003

Martius, Georg and EckehardOlbrich: Quantifying emergent behavior of autonomous robots
In: Entropy, 17 (2015) 10, p. 7266-7297
DOI: 10.3390/e17107266 ARXIV: http://arxiv.org/abs/1510.01495

Medathati, N. V. Kartheek ; Chessa, Manuela ; Masson, Guillaume S. ; Kornprobst, Pierre and FabioSolari: Adaptive motion pooling and diffusion for optical flow

Medathati, N. V. Kartheek ; Neumann, Heiko ; Masson, Guillaume S. and PierreKornprobst: Bio-inspired computer vision : setting the basis for a new departure

Olbrich, Eckehard ; Bertschinger, Nils and JohannesRauh: Information decomposition and synergy
In: Entropy, 17 (2015) 5, p. 3501-3517
DOI: 10.3390/e17053501

Petroni, Filippo ; Serva, Maurizio and DimitriVolchenkov: Levenshtein's distance for measuring lexical evolution rates
In: Nonlinear dynamics new directions : models and applications / HernánGonzález-Aguilar... (eds.)
Cham : Springer, 2015. - P. 215-240
(Nonlinear systems and complexity ; 12)
DOI: 10.1007/978-3-319-09864-7_10

Pfante, Oliver and NihatAy: Operator-theoretic identification of closed sub-systems of dynamical systems
In: An interdisciplinary journal of discontinuity, nonlinearity, and complexity, 4 (2015) 1, p. 91-109
MIS-Preprint: 4/2015 DOI: 10.5890/DNC.2015.03.007

Punetha, Nirmal ; Ramaswamy, Ramakrishna and Fatihcan M.Atay: Bipartite networks of oscillators with distributed delays : synchronization branches and multistability
In: Physical review / E, 91 (2015) 4, 042906
MIS-Preprint: 4/2013 DOI: 10.1103/PhysRevE.91.042906

Punetha, Nirmal ; Ujjwal, Sangeeta ; Atay, Fatihcan M. and RamakrishnaRamaswamy: Delay-induced remote synchronization in bipartite networks of phase oscillators
In: Physical review / E, 91 (2015) 2, 022922
MIS-Preprint: 109/2014 DOI: 10.1103/PhysRevE.91.022922

Raveendran, Marlo ; Puranam, Phanish and MassimoWarglien: Object salience in the division of labor : experimental evidence
In: Management science : journal of the institute for operations research and the management, Vol. not yet known, pp. not yet known
DOI: 10.1287/mnsc.2015.2216

Recchioni, Maria Christina ; Tedeschi, Gabriele and MauroGallegati: A calibration procedure for analyzing stock price dynamics in an agent-based framework
In: Journal of economic dynamics and control, 60 (2015), p. 1-25
DOI: 10.1016/j.jedc.2015.08.003

Sipahi, Rifat ; Atay, Fatihcan M. and Silviu-IulianNiculescu: Stability analysis of a constant time-headway driving strategy with driver memory effects modeled by distributed delays
In: IFAC-PapersOnLine, 48 (2015) 12, p. 376-381
MIS-Preprint: 71/2015 DOI: 10.1016/j.ifacol.2015.09.407

Solari, Fabio ; Chessa, Manuela ; Medathati, N. V. Kartheek and PierreKornprobst: What can we expect from a V1-MT feedforward architecture for optical flow estimation?
In: Signal processing : image communication, 39 (2015) B, p. 342-354
DOI: 10.1016/j.image.2015.04.006 LINK: https://hal.inria.fr/hal-01215519

Veltz, Romain ; Chossat, Pascal and OlivierFaugeras: On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1
In: Journal of mathematical neuroscience, 5 (2015), 11
DOI: 10.1186/s13408-015-0023-8 LINK: http://www.mathematical-neuroscience.com/content/5/May/2015

Veltz, Romain and OlivierFaugeras: Erratum: 'A center manifold result for delayed neural fields equations'
In: SIAM journal on mathematical analysis, 47 (2015) 2, p. 1665-1670
DOI: 10.1137/140962279

Warglien, Massimo and PeterGärdenfors: Meaning negotiation
In: Applications of conceptual spaces : the case for geometric knowledge representation / FrankZenker... (eds.)
Cham : Springer, 2015. - P. 79-94
(Synthese library : studies in epistemology ; 359)
DOI: 10.1007/978-3-319-15021-5_5

Atay, Fatihcan M.: Network consensus under distributed transmission delays
In: ECC : 13th European Control Conference 2014 ; Strasbourg, France, June 24-27, 2014
Piscataway, NJ : IEEE, 2014. - P. 1110-1114
MIS-Preprint: 101/2013 DOI: 10.1109/ECC.2014.6862593

Atay, Fatihcan M. and ShipingLiu: Cheeger constants, structural balance, and spectral clustering analysis for signed graphs

Atay, Fatihcan M. and HandeTuncel: On the spectrum of the normalized Laplacian for signed graphs : interlacing, contraction, and replication
In: Linear algebra and its applications, 442 (2014), p. 165-177
MIS-Preprint: 52/2013 DOI: 10.1016/j.laa.2013.08.022

Banisch, Sven: From microscopic heterogeneity to macroscopic complexity in the contrarian voter model
In: Advances in complex systems, 17 (2014) 5, 1450025
DOI: 10.1142/S0219525914500258 ARXIV: http://arxiv.org/abs/1510.04467

Bertschinger, Nils ; Rauh, Johannes ; Olbrich, Eckehard ; Jost, Jürgen and NihatAy: Quantifying unique information
In: Entropy, 16 (2014) 4, p. 2161-2183
MIS-Preprint: 102/2013 DOI: 10.3390/e16042161 ARXIV: http://arxiv.org/abs/1311.2852

Blanchard, Philippe and DimitriVolchenkov: Scaffolding of complex systems data
In: Nonlinear dynamics and complexity / ValentinAfraimovich... (eds.)
Cham : Springer, 2014. - P. 191-212
(Nonlinear systems and complexity ; 8)
DOI: 10.1007/978-3-319-02353-3_7

Collevecchio, Andrea ; Garoni, Timothy M. ; Hyndman, Timothy and DanielTokarev: The worm algorithm for the Ising model is rapidly mixing

Collevecchio, Andrea ; Mehrabian, Abbas and NickWormald: Longest paths in random Apollonian networks and largest r-ary subtrees of random d-ary recursive trees
In: Journal of applied probability, Vol. not yet known, pp. not yet known
ARXIV: http://arxiv.org/abs/1404.2425

Faugeras, Olivier and JamesMacLaurin: Asymptotic description of stochastic neural networks : I. Existence of a large deviation principle
In: Comptes rendus de l'Académie des Sciences / 1, 352 (2014) 10, p. 841-846
DOI: 10.1016/j.crma.2014.08.018 ARXIV: http://arxiv.org/abs/1407.2457

Faugeras, Olivier and JamesMacLaurin: Asymptotic description of stochastic neural networks : II. Characterization of the limit law
In: Comptes rendus de l'Académie des Sciences / 1, 352 (2014) 10, p. 847-852
DOI: 10.1016/j.crma.2014.08.017 ARXIV: http://arxiv.org/abs/1407.2458

Grilli, Ruggero ; Tedeschi, Gabriele and MauroGallegati: Network approach for detecting macroeconomic instability
In: Proceedings of the tenth international conference on signal-image technology and internet-based systems : SITIS 2014 ; 23-27 November 2014, Marrakesh, Morocco / KokouYetongnon (ed.)
Piscataway, NJ : IEEE, 2014. - P. 440-446
DOI: 10.1109/SITIS.2014.96

Grilli, Ruggero ; Tedeschi, Gabriele and MauroGallegati: Bank interlinkages and macroeconomic stability
In: International review of economics and finance, 34 (2014), p. 72-88
DOI: 10.1016/j.iref.2014.07.002

Helvik, Torbjorn and KristianLindgren: Expressing the entropy of lattice systems as sums of conditional entropies
In: Journal of statistical physics, 155 (2014) 4, p. 687-702
DOI: 10.1007/s10955-014-0972-4 ARXIV: http://arxiv.org/abs/1401.7910

Lamarche-Perrin, Robin ; Demazeau, Yves and Jean-MarcVincent: A generic algorithmic framework to solve special versions of the set partitioning problem
In: 2014 IEEE 26th International Conference on Tools with Artificial Intelligence : ICTAI 2014, 10-12 November, Limassol, Cyprus, ; proceedings
Washington, DC [u.a.] : CPS, 2014. - P. 891-897
MIS-Preprint: 105/2014 DOI: 10.1109/ICTAI.2014.136

Landini, Simone and MauroGallegati: Heterogeneity, interaction and emergence : effects of composition
In: International journal of computational economics and econometrics, 4 (2014) 3-4, p. 339-361
DOI: 10.1504/IJCEE.2014.064787

Landini, Simone ; Gallegati, Mauro ; Stiglitz, Joseph E. ; Li, Xihao and Corrado diGuilmi: Learning and Macro-Economic Dynamics
In: Nonlinear economic dynamics and financial modelling : essays in honour of Carl Chiarella / RobertoDieci... (eds.)
Cham : Springer, 2014. - P. 109-134
DOI: 10.1007/978-3-319-07470-2_8

Louca, Stilianos and Fatihcan M.Atay: Spatially structured networks of pulse-coupled phase oscillators on metric spaces
In: Discrete and continuous dynamical systems / A, 34 (2014) 9, p. 3703-3745
MIS-Preprint: 104/2013 DOI: 10.3934/dcds.2014.34.3703

Medathati, N. V. Kartheek ; Rankin, James ; Masson, Guillaume S. and PierreKornprobst: Exploring the richness of center-surround dynamics a bifurcation study
In: Conference on nonlinear dynamics and stochastic methods : from neuroscience to other biological applications ; in honor of G. Bard Ermentrout's 60th birthday ; March 10-12, 2014
Pittsburg : University of Pittsburgh, 2014
LINK: http://www-sop.inria.fr/members/Pierre.Kornprobst/poster/2014-medathati-ermentrout.pdf

Pfante, Oliver ; Bertschinger, Nils ; Olbrich, Eckehard ; Ay, Nihat and JürgenJost: Comparison between different methods of level identification
In: Advances in complex systems, 17 (2014) 2, 1450007
DOI: 10.1142/S0219525914500076 LINK: http://www.santafe.edu/media/workingpapers/13-11-035.pdf

Pfante, Oliver ; Olbrich, Eckehard ; Bertschinger, Nils ; Ay, Nihat and JürgenJost: Closure measures for coarse-graining of the tent map
In: Chaos, 24 (2014), 013136
MIS-Preprint: 108/2013 DOI: 10.1063/1.4869075

Rankin, James ; Meso, A. I. ; Masson, Guillaume S. ; Faugeras, Olivier and PierreKornprobst: Bifurcation study of a neural field competition model with an application to perceptual switching in motion integration
In: Journal of computational neuroscience, 36 (2014) 2, p. 193-213
DOI: 10.1007/s10827-013-0465-5 LINK: https://hal.inria.fr/hal-00783525

Rauh, Johannes ; Bertschinger, Nils ; Olbrich, Eckehard and JürgenJost: Reconsidering unique information : towards a multivariate information decomposition
In: IEEE international symposium on information theory proceedings (ISIT) 2014 : June 29-July 4, 2014 in Honolulu, USA
Piscataway, NY : IEEE, 2014. - P. 2232-2236
DOI: 10.1109/ISIT.2014.6875230 ARXIV: http://arxiv.org/abs/1404.3146

Volchenkov, Dimitri: Path integral distance for the automated data interpretation
In: An interdisciplinary journal of discontinuity, nonlinearity, and complexity, 3 (2014) 3, p. 255-279
DOI: 10.5890/DNC.2014.09.004

Volchenkov, Dimitri: Path integral distance for data interpretation

Volchenkov, Dimitri ; Banaszak, Ewa ; Kocjan, Konrad and TyllKrüger: I dress like everyone, I dress like no other
In: An interdisciplinary journal of discontinuity, nonlinearity, and complexity, 3 (2014) 2, p. 147-159
DOI: 10.5890/DNC.2014.06.004

Volchenkov, Dimitri ; Bläsing, Bettina E. and ThomasSchack: Spatio-temporal kinematic decomposition of movements
In: Engineering, 6 (2014), p. 385-398
DOI: 10.4236/eng.2014.68041

Atay, Fatihcan M. and LaviniaRoncoroni: On the lumpability of linear evolution equations
MIS-Preprint: 109/2013

Banaszak, Ewa ; Kocjan, Konrad ; Krüger, Tyll and DimitriVolchenkov: Coding and modelling daily life dressing : the wroclaw fashion project
In: 5th global conference fashion : exploring critical issues
Oxford : Harris Manchester College, 2013
LINK: http://www.inter-disciplinary.net/critical-issues/wp-content/uploads/2013/07/Tyll-Krueger-FASH5-wpaper.pdf

Blanchard, Philippe and DimitriVolchenkov: Urban landscape is an important factor in rising inequality, spatial segregation, and social isolation
In: Metodi e modelli matematici per le dinamiche urbane : un corso per architetti territoriali / SergioAlbeverio (ed.)
Berlin : Springer, 2015
ARXIV: http://arxiv.org/abs/1312.5057

Gärdenfors, Peter and MassimoWarglien: The development of semantic space for pointing and verbal communication
In: The construal of spatial meaning : windows into conceptual space / CaritaParadis... (eds.)
Oxford : Oxford University Press, 2013. - P. 29-42
DOI: 10.1093/acprof:oso/9780199641635.003.0003

Land, William M. ; Volchenkov, Dimitri ; Bläsing, Bettina E. and ThomasSchack: From action representation to action execution : exploring the links between cognitive and biomechanical levels of motor control
In: Frontiers in computational neuroscience, 7 (2013), 127
DOI: 10.3389/fncom.2013.00127

Medathati, N. V. Kartheek ; Rankin, James ; Kornprobst, Pierre and Guillaume S.Masson: A retinotopic neural fields model of perceptual switching in 2D motion integration
In: Bernstein conference 2013, Tübingen, Germany, September 24 - 27
Tübingen : Bernstein center for computational neuroscience, 2013
DOI: 10.12751/nncn.bc2013.0156 LINK: http://www-sop.inria.fr/members/Pierre.Kornprobst/poster/2013-medathati-berstein.pdf

Naudé, Jérémie ; Cessac, Bruno ; Berry, Hughes and BrunoDelord: Effects of cellular homeostatic intrinsic plasticity on dynamical and computational properties of biological recurrent neural networks
In: The journal of neuroscience, 33 (2013) 38, p. 15032-15043
DOI: 10.1523/JNEUROSCI.0870-13.2013

Rankin, James ; Tlapale, Emilien ; Veltz, Romain ; Faugeras, Olivier and PierreKornprobst: Bifurcation analysis applied to a model of motion integration with a multistable stimulus
In: Journal of computational neuroscience, 34 (2013) 1, p. 103-124
DOI: 10.1007/s10827-012-0409-5

Veltz, Romain and OlivierFaugeras: A center manifold result for delayed neural fields equations
In: SIAM journal on mathematical analysis, 45 (2013) 3, p. 1527-1562
DOI: 10.1137/110856162 LINK: https://hal.inria.fr/hal-00719794

Volchenkov, Dimitri: Stochastic nonlinear dynamics of flows through irregular packed beds
In: Focus on porous media research / ChangyingZhao (ed.)
Hauppauge, New York : Nova Science Publishers, Inc., 2013. - P. 143-164
(Mechanical engineering theory an applications)

Volchenkov, Dimitri: Markov chain scaffolding of real world data
In: An interdisciplinary journal of discontinuity, nonlinearity, and complexity, 2 (2013) 3, p. 289-299
DOI: 10.5890/DNC.2013.08.005

Volchenkov, Dimitri: Tsunami waves as critical phenomena
In: Indian ocean review of science and technology, 2013 (2013), 2
LINK: http://www.iorst.com/index.php/paper/view/2

Volchenkov, Dimitri and Bettina E.Bläsing: Spatio-temporal analysis of kinematic signals in classical ballet
In: Journal of computational science, 4 (2013) 4, p. 285-292
DOI: 10.1016/j.jocs.2012.06.008

Volchenkov, Dimitri ; Helbach, Jonathan ; Tscherepanow, Marko and SinaKühnel: Treasure hunting in virtual environments : scaling laws of human motions and mathematical models of human actions in uncertainty
In: Nonlinear dynamics and complexity / ValentinAfraimovich... (eds.)
Cham : Springer, 2014. - P. 213-234
(Nonlinear systems and complexity ; 8)
DOI: 10.1007/978-3-319-02353-3_8

Volchenkov, Dimitri ; Helbach, Jonathan ; Tscherepanow, Marko and SinaKühnel: Exploration-exploitation trade-off features a saltatory search behaviour
In: Interface : journal of the Royal Society, 10 (2013) 85, p. 1-11
DOI: 10.1098/rsif.2013.0352 ARXIV: http://arxiv.org/abs/1305.5650

Volchenkov, Dimitri ; Helbach, Jonathan ; Tscherepanow, Marko and SinaKühnel: Exploration-exploitation trade-off in a treasure hunting game
In: Electronic notes in theoretical computer science, 299 (2013), p. 101-121
DOI: 10.1016/j.entcs.2013.11.009

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