Definition ∞ Tensor Operations are mathematical computations performed on tensors, which are multi-dimensional arrays used to represent data in fields like machine learning and physics. These operations include addition, multiplication, dot products, and transformations, forming the fundamental building blocks of deep learning algorithms. They enable efficient processing of large datasets and complex numerical calculations. Such operations are essential for training and executing artificial intelligence models.
Context ∞ Tensor operations are at the core of artificial intelligence and machine learning, particularly in the context of verifiable artificial intelligence and cryptographic proofs for AI computations. The current discussion focuses on optimizing these operations for efficiency within zero-knowledge proof systems, allowing for provably correct execution of AI models on decentralized platforms. A critical future development involves advancements in hardware and software that significantly accelerate tensor operations within verifiable computation, enabling more complex and privacy-preserving AI applications in blockchain environments.