https://www.vishalv.com/tags/probability-space Personal website of Vishal V, featuring writing, ideas, projects, and research en-us vishalvignesh.iitm@gmail.com (Vishal V) vishalvignesh.iitm@gmail.com (Vishal V) Tue, 04 Aug 2026 00:00:00 GMT https://www.vishalv.com/notes/xuInformationTheoreticDefinitionOpenEnded2026 https://www.vishalv.com/notes/xuInformationTheoreticDefinitionOpenEnded2026 A growing body of work points to the great promise of AI systems that can continually expand their capabilities as they operate in an open-ended environment. But yet there is no coherent definition of open-endedness or theory about how an agent ought to explore an open-ended... Tue, 04 Aug 2026 00:00:00 GMT vishalvignesh.iitm@gmail.com (Vishal V) bit-equivalentprobability-spacebandit-environmentnatdata-processing-inequalitykernelized-bandit-optimizationgaussian-processmercer-decompositionspectral-tailmatern-kernelsquared-exponential-kernelthompson-samplingfixed-truncationgp-ucb