Essays about: "Betti number"
Found 2 essays containing the words Betti number.
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1. Towards topology-aware Variational Auto-Encoders : from InvMap-VAE to Witness Simplicial VAE
University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)Abstract : Variational Auto-Encoders (VAEs) are one of the most famous deep generative models. After showing that standard VAEs may not preserve the topology, that is the shape of the data, between the input and the latent space, we tried to modify them so that the topology is preserved. READ MORE
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2. Diagnostics of Semantic Word Spaces
University essay from KTH/Skolan för datavetenskap och kommunikation (CSC)Abstract : In collaboration with Gavagai, a company that develops automated and scalable methods for retrieving actionable intelligence from dynamic data, I have been studying semantic word spaces and topology. In this bachelor’s thesis, with help from computational topology, I introduce new ways to describe properties of these semantic word spaces, so called barcodes. READ MORE