Ay, NihatNihatAy2024-12-092024-12-092024Information Geometry (in Press): (2024)https://hdl.handle.net/11420/52382We introduce the dual of the mixture connection with respect to the Otto metric which represents a new kind of exponential connection. This provides a dual structure consisting of the mixture connection, the Otto metric as a Riemannian metric, and the new exponential connection. We derive the geodesic equation of this exponential connection, which coincides with the Kolmogorov forward equation of a gradient flow. We then derive the canonical contrast function of the introduced dual structure.en2511-24812024Springerhttps://creativecommons.org/licenses/by/4.0/Canonical contrast function | Dual structure | Exponential connection | Otto metric | Wasserstein geometryComputer Science, Information and General Works::004: Computer SciencesJournal Articlehttps://doi.org/10.15480/882.1387710.1007/s41884-024-00149-w10.15480/882.13877Journal Article