Definition ∞ Verifiable matrix multiplication refers to a cryptographic technique where a party can prove to another party that a matrix multiplication operation was performed correctly, without revealing the matrices themselves. This method leverages zero-knowledge proofs or similar cryptographic primitives to ensure computational integrity and privacy. It is essential for secure and confidential computations in decentralized systems. This technology enhances trust in complex data processing.
Context ∞ The current discussion concerning verifiable matrix multiplication often involves its application in privacy-preserving machine learning and scaling solutions for blockchain networks. Researchers are actively working on optimizing the efficiency and computational overhead of these proofs. A critical future development includes the broader integration of these advanced cryptographic techniques into decentralized artificial intelligence and confidential computing platforms.