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Rough paths, Signatures and the modelling of functions on streams
4 references·5 citing·28 second hop
Rough paths, Signatures and the modelling of functions on streams (2014)Rough paths, Signatures and the modelling…Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths (2013)Regularity of laws and ergodi…Multidimensional Stochastic Processes as Rough Paths (2010)Multidimensional Stochastic P…Differential Equations Driven by Rough Paths (2007)Differential Equations Driven…UNIQUENESS FOR THE SIGNATURE OF A PATH OF BOUNDED VARIATION AND THE REDUCED PATH GROUP (2006)UNIQUENESS FOR THE SIGNATURE …Signatory: differentiable computations of the signature and logsignature transforms, on both CPU and GPU (2020)Signatory: differentiable com…Non-parametric Pricing and Hedging of Exotic Derivatives (2020)Non-parametric Pricing and He…A Data-Driven Market Simulator for Small Data Environments (2020)A Data-Driven Market Simulato…Discretely sampled signals and the rough Hoff process (2016)Discretely sampled signals an…Characteristic functions of measures on geometric rough paths (2016)Characteristic functions of m…Fractional Brownian Motions, Fractional Noises and Applications (1968)Differential equations driven by rough signals (1998)The Malliavin Calculus and Related Topics (2006)Integrability and tail estimates for Gaussian rough differential equations (2013)From Rough Path Estimates to Multilevel Monte Carlo (2016)C∞− regularization of ODEs perturbed by noise (2021)Long memory in continuous‐time stochastic volatility models (1998)Volatility Is Rough (2018)Sig-SDEs model for quantitative finance (2020)The Pricing of Options and Corporate Liabilities (1973)Theory of Rational Option Pricing (1973)Theory of rational option pricing (2005)Signature-Based Models: Theory and Calibration (2023)System Control and Rough Paths (2002)A Course on Rough Paths (2014)General rough integration, Lévy rough paths and a Lévy–Kintchine-type formula (2017)Canonical RDEs and general semimartingales as rough paths (2018)Differential Equations Driven by Rough Paths (2007)Physical Brownian motion in a magnetic field as a rough path (2015)The signature of a rough path: Uniqueness (2016)Empirical properties of asset returns: stylized facts and statistical issues (2001)Reinforcement learning and stochastic optimisation (2021)Integration with respect to fractal functions and stochastic calculus. I (1998)Stochastic analysis, rough path analysis and fractional Brownian motions (2002)Smoothness of the density for solutions to Gaussian rough differential equations (2014)Stochastic Differential Equations and Diffusion Processes (1983)Densities for rough differential equations under Hörmander’s condition (2010)Averaging along irregular curves and regularisation of ODEs (2016)
this work references cited by second hop

References

  • 2010Multidimensional Stochastic Processes as Rough Paths750 cited
  • 2007Differential Equations Driven by Rough Paths237 cited
  • 2006UNIQUENESS FOR THE SIGNATURE OF A PATH OF BOUNDED VARIATION AND THE REDUCED PATH GROUP135 cited
  • 2013Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths88 cited

Cited by

  • 2016Characteristic functions of measures on geometric rough paths58 cited
  • 2020A Data-Driven Market Simulator for Small Data Environments53 cited
  • 2020Signatory: differentiable computations of the signature and logsignature transforms, on both CPU and GPU52 cited
  • 2016Discretely sampled signals and the rough Hoff process40 cited
  • 2020Non-parametric Pricing and Hedging of Exotic Derivatives32 cited

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