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Data for structural semantics using topological data analysis
This dataset is designed to explore the advantages of utilizing topological summaries of raw data (an abstraction) rather than the raw data itself in machine learning applications.
This dataset consists of $600$ raw data examples derived from the MNIST handwritten digits dataset:
Hand_Digits_Data.
The labels correspond to the $1$-dimensional holes that appeared in the raw data:Hand_Digits_Data-->Label_Info-->Lablels_v3.
Reference
From Raw Data to Structural Semantics: Trade-offs among Distortion, Rate, and Inference Accuracy (https://arxiv.org/abs/2412.19825).
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From Raw Data to Structural Semantics: Trade-offs among Distortion, Rate, and Inference Accuracy