Information Geometry

This Special Issue of the journal Entropy, titled “Information Geometry I”, contains a collection of 17 papers concerning the foundations and applications of information geometry. Based on a geometrical interpretation of probability, information geometry has become a rich mathematical field employing the methods of differential geometry. It has numerous applications to data science, physics, and neuroscience. Presenting original research, yet written in an accessible, tutorial style, this collection of papers will be useful for scientists who are new to the field, while providing an excellent reference for the more experienced researcher. Several papers are written by authorities in the field, and topics cover the foundations of information geometry, as well as applications to statistics, Bayesian inference, machine learning, complex systems, physics, and neuroscience

Information geometry

This Special Issue of the journal Entropy, titled “Information Geometry I”, contains a collection of 17 papers concerning the foundations and applications of information geometry. Based on a geometrical interpretation of probability, information geometry has become a rich mathematical field employing the methods of differential geometry. It has numerous applications to data science, physics, and neuroscience. Presenting original research, yet written in an accessible, tutorial style, this collection of papers will be useful for scientists who are new to the field, while providing an excellent reference for the more experienced researcher. Several papers are written by authorities in the field, and topics cover the foundations of information geometry, as well as applications to statistics, Bayesian inference, machine learning, complex systems, physics, and neuroscience

New Directions for Contact Integrators

Contact integrators are a family of geometric numerical schemes which guarantee the conservation of the contact structure. In this work we review the construction of both the variational and Hamiltonian versions of these methods. We illustrate some of the advantages of geometric integration in the dissipative setting by focusing on models inspired by recent studies in celestial mechanics and cosmology.Comment: To appear as Chapter 24 in GSI 2021, Springer LNCS 1282

Graduate course catalog (Florida International University). [2016-2017]

This catalog contains a description of the various policies, graduate programs, degree requirements, and course offerings at Florida International University during the 2016-2017 academic year.https://digitalcommons.fiu.edu/catalogs/1072/thumbnail.jp

Graduate course catalog (Florida International University). [2021-2022]

This catalog contains a description of the various policies, graduate programs, degree requirements, and course offerings at Florida International University during the 2021-2022 academic year.https://digitalcommons.fiu.edu/catalogs/1082/thumbnail.jp

Graduate course catalog (Florida International University). [2019-2020]

This catalog contains a description of the various policies, graduate programs, degree requirements, and course offerings at Florida International University during the 2019-2020 academic year.https://digitalcommons.fiu.edu/catalogs/1078/thumbnail.jp

Graduate course catalog (Florida International University). [2020-2021]

This catalog contains a description of the various policies, graduate programs, degree requirements, and course offerings at Florida International University during the 2020-2021 academic year.https://digitalcommons.fiu.edu/catalogs/1080/thumbnail.jp

Graduate course catalog (Florida International University). [2018-2019]

This catalog contains a description of the various policies, graduate programs, degree requirements, and course offerings at Florida International University during the 2018_2029 academic year.https://digitalcommons.fiu.edu/catalogs/1076/thumbnail.jp

Graduate course catalog (Florida International University). [2022-2023]

This catalog contains a description of the various policies, graduate programs, degree requirements, and course offerings at Florida International University during the 2022-2023 academic year.https://digitalcommons.fiu.edu/catalogs/1084/thumbnail.jp