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Continuous-time stochastic processes pervade everyday experience, and the simulation of models of these processes is of great utility.
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Smith, W. L · 1958
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Simulating physics with computers
Feynman, R. P · 1982
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Inferring statistical complexity
Crutchfield, J. P. & Young, K · 1989
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Crutchfield, J. P. & Feldman, D. P · 1997
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Extracting finite-state representations from recurrent neural networks trained on chaotic symbolic sequences
Tino, P. & Koteles, M · 1999
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Complexity in the atmosphere
Palmer, A. J., Fairall, C. W. & Brewer, W. A · 2000
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Nielsen, M. A. & Chuang, I · 2000
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Shalizi, C. R. & Crutchfield, J. P · 2001
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Spiking neuron models: Single neurons, populations, plasticity (Cambridge University Press, 2002)
Gerstner, W. & Kistler, W. M · 2002
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Application of computational mechanics to the analysis of natural data: An example in geomagnetism
Clarke, R. W., Freeman, M. P. & Watkins, N. W · 2003
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Complexity analysis of the stock market
Park, J. B., Lee, J. W., Yang, J.-S., Jo, H.-H. & Moon, H.-T · 2007
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Multiscale complex network of protein conformational fluctuations in single-molecule time series
Li, C.-B., Yang, H. & Komatsuzaki, T · 2008
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Time’s barbed arrow: Irreversibility, crypticity, and stored information
Crutchfield, J. P., Ellison, C. J. & Mahoney, J. R · 2009
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Properties of the statistical complexity functional and partially deterministic HMMs
Löhr, W · 2009
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Semi-Markov chains and hidden semi-Markov models toward applications: their use in reliability and DNA analysis , vol. 191 (Springer Science & Business Media, 2009)
Barbu, V. S. & Limnios, N · 2009
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Quantum computation and quantum-state engineering driven by dissipation
Verstraete, F., Wolf, M. M. & Cirac, J. I · 2009
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The computational structure of spike trains
Haslinger, R., Klinkner, K. L. & Shalizi, C. R · 2010
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Synchronization and control in intrinsic and designed computation: An information-theoretic analysis of competing models of stochastic computation
Crutchfield, J. P., Ellison, C. J., James, R. G. & Mahoney, J. R · 2010
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Information anatomy of stochastic equilibria
Marzen, S. & Crutchfield, J. P · 2014
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Informational and causal architecture of discrete-time renewal processes
Marzen, S. E. & Crutchfield, J. P · 2015
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Time resolution dependence of information measures for spiking neurons: Scaling and universality
Marzen, S. E., DeWeese, M. R. & Crutchfield, J. P · 2015
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Multipartite entangled spatial modes of ultracold atoms generated and controlled by quantum measurement
Elliott, T. J., Kozlowski, W., Caballero-Benitez, S. F. & Mekhov, I. B · 2015
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Occam’s quantum strop: Synchronizing and compressing classical cryptic processes via a quantum channel
Mahoney, J. R., Aghamohammadi, C. & Crutchfield, J. P · 2016
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Highly efficient source for indistinguishable single photons of controlled shape
Nisbet-Jones, P. B. R., Dilley, J., Ljunggren, D. & Kuhn, A · 2011
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Anatomy of a bit: Information in a time series observation
James, R. G., Ellison, C. J. & Crutchfield, J. P · 2011
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A new method for inferring hidden markov models from noisy time sequences
Kelly, D., Dillingham, M., Hudson, A. & Wiesner, K · 2012
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Quantum mechanics can reduce the complexity of classical models
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Driven-dissipative many-body pairing states for cold fermionic atoms in an optical lattice
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The ambiguity of simplicity in quantum and classical simulation
Aghamohammadi, C., Mahoney, J. R. & Crutchfield, J. P · 2016
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Riechers, P. M. & Crutchfield, J. P · 2016
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Thermodynamics of complexity and pattern manipulation
Garner, A. J. P., Thompson, J., Vedral, V. & Gu, M · 2017
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The classical-quantum divergence of complexity in modelling spin chains
Suen, W. Y., Thompson, J., Garner, A. J. P., Vedral, V. & Gu, M · 2017
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Extreme quantum advantage when simulating classical systems with long-range interaction
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Provably unbounded memory advantage in stochastic simulation using quantum mechanics
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Using quantum theory to simplify input-output processes
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Experimentally modeling stochastic processes with less memory by the use of a quantum processor
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Informational and causal architecture of continuous-time renewal processes
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