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Sparse Encodings

Definition

Sparse encodings are data representation methods where information is stored using a minimal number of non-zero or active elements, particularly when the data itself contains many zeros or inactive components. This technique prioritizes efficiency in storage and computation by only recording significant values and their positions. In cryptographic systems, sparse encodings can reduce the size of proofs or data structures, enhancing the performance of zero-knowledge proofs and other verifiable computation schemes. They optimize resource usage for data with inherent redundancy.