{"id":435,"date":"2025-12-10T22:01:03","date_gmt":"2025-12-10T22:01:03","guid":{"rendered":"https:\/\/atmos.ucla.edu\/dkondras\/?page_id=435"},"modified":"2025-12-10T22:01:03","modified_gmt":"2025-12-10T22:01:03","slug":"software","status":"publish","type":"page","link":"https:\/\/atmos.ucla.edu\/dkondras\/software\/","title":{"rendered":"Software"},"content":{"rendered":"\n

Matlab Packages:\u00a0<\/strong><\/h2>\n\n\n\n
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  1. Multilayer Stochastic Modeling (MSM)\u00a0<\/li>\n\n\n\n
  2. Past-Noise Forecasting (PNF)<\/li>\n\n\n\n
  3. Data-adaptive Harmonic Decomposition (DAHD)\u00a0\u00a0\u00a0\u00a0<\/li>\n<\/ol>\n\n\n\n

    DOWNLOAD<\/a><\/strong><\/p>\n\n\n\n

    These tools demonstrate several data-driven nonlinear stochastic-dynamic methods for analysis, modeling and prediction of datasets from partially-observed systems.   <\/p>\n\n\n\n

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    1. Empirical Model Reduction [Kondrashov et al, 2005, Kravtsov et al. 2009] within a general class of nonlinear Multilayer Stochastic Models (MSM) with memory effects and complex noise structure [Kondrashov et al. 2015, Ghil et al. 2018].\u00a0<\/li>\n\n\n\n
    2. \u00a0\u201cPast-noise forecasting\u201d [Chekroun, Kondrashov and Ghil et al. 2011].\u00a0<\/li>\n\n\n\n
    3. Data-adaptive Harmonic Decomposition [Chekroun and Kondrashov, 2017; Kondrashov et al. 2018, Kondrashov et al. 2020] for identification of coherent spatio-temporal modes in a shorty and noisy dataset.<\/li>\n<\/ol>\n\n\n\n

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      References<\/strong><\/h2>\n\n\n\n

      Kondrashov, D., Ryzhov, E.A. and P.S. Berloff, 2020: Data-adaptive harmonic analysis of oceanic waves and turbulent flows, Chaos, 30, 061105, doi:10.1063\/5.0012077<\/a>.<\/p>\n\n\n\n

      Kondrashov, D., M. D. Chekroun, X. Yuan, and M. Ghil, 2018: Data-adaptive Harmonic Decomposition and Stochastic Modeling of Arctic Sea Ice, In: Tsonis A. (eds) Advances in Nonlinear Geosciences. Springer, doi:10.1007\/978-3-319-58895-7_10<\/a>.<\/p>\n\n\n\n

      Ghil, M., A. Groth, D. Kondrashov, and A.W. Robertson, 2018: Extratropical sub-seasonal\u2013to\u2013seasonal oscillations and multiple regimes: The dynamical systems view.,In The Gap between Weather and Climate Forecasting: Sub-Seasonal to Seasonal Prediction.  A.W . Robertson and F. Vitart (eds), Elsevier<\/a>.<\/p>\n\n\n\n

      Chekroun, M. D., and D. Kondrashov, 2017: Data-adaptive harmonic spectra and multilayer Stuart-Landau models, Chaos, 27, 093110: doi:10.1063\/1.4989400<\/a>, HAL preprint.<\/a><\/p>\n\n\n\n

      Kondrashov, D., M.D. Chekroun, and M. Ghil, 2015: Data-driven non-Markovian closure models, Physica D, 297, 33-55, doi:10.1016\/j.physd.2014.12.005<\/a>.<\/p>\n\n\n\n

       Chekroun, M. D., D. Kondrashov and M. Ghil, 2011: Predicting stochastic systems by noise sampling, and application to the El Ni\u00f1o-Southern Oscillation, Proc. Nat. Acad. Sciences, 108 (29), 11766\u201311771, doi: 10.1073\/pnas.1015753108<\/a>. <\/p>\n\n\n\n

      Kravtsov S., D. Kondrashov, and M. Ghil, 2005:  Multi-level regression modeling of nonlinear processes: Derivation and applications to climatic variability.  J. Climate, 18, 4404\u20134424, doi: 10.1175\/JCLI3544.1<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

      Matlab Packages:\u00a0 DOWNLOAD These tools demonstrate several data-driven nonlinear stochastic-dynamic methods for analysis, modeling and prediction of datasets from partially-observed systems.    References Kondrashov, D., Ryzhov, E.A. and P.S. Berloff, 2020: Data-adaptive harmonic analysis of oceanic waves and turbulent flows, Chaos, 30, 061105, doi:10.1063\/5.0012077. Kondrashov, D., M. D. Chekroun, X. Yuan, and M. Ghil, 2018: Data-adaptive Harmonic Decomposition and Stochastic…<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-435","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/atmos.ucla.edu\/dkondras\/wp-json\/wp\/v2\/pages\/435","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/atmos.ucla.edu\/dkondras\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/atmos.ucla.edu\/dkondras\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/atmos.ucla.edu\/dkondras\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/atmos.ucla.edu\/dkondras\/wp-json\/wp\/v2\/comments?post=435"}],"version-history":[{"count":1,"href":"https:\/\/atmos.ucla.edu\/dkondras\/wp-json\/wp\/v2\/pages\/435\/revisions"}],"predecessor-version":[{"id":438,"href":"https:\/\/atmos.ucla.edu\/dkondras\/wp-json\/wp\/v2\/pages\/435\/revisions\/438"}],"wp:attachment":[{"href":"https:\/\/atmos.ucla.edu\/dkondras\/wp-json\/wp\/v2\/media?parent=435"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}