Sparse matrix-vector multiplication (SpMV) is a crucial operation in scientific computing, graph analytics, and machine/deep learning. Its performance is highly sensitive to matrix sparsity patterns, necessitating tailored program designs. This paper introduces SparseZETA, an intelligent auto-tuner that generates high-performance, machine-designed SpMV programs by directly mimicking and composing human-expert actions. To efficiently navigate the vast design space, SparseZETA reformulates auto-tuning as a behavior-cloning problem: rather than costly exploration, it directly synthesizes programs by sequentially predicting actions in a one-pass decision-making process, guided by the real-time state of the evolving, partially constructed program designs. A novel self-training mechanism further accelerates the collection of training data for the prediction models. On NVIDIA A100 (and RTX 2080 Ti) GPUs, SparseZETA achieves average speedups of 1.27×–15.66× (1.44×–19.07×) over existing auto-tuners, human-designed programs, and a sparse compiler. SparseZETA substantially reduces the human effort required to design SpMV programs, including sparse format creation and kernel implementation, cutting the design time from days or even months to an average of 82.52ms per matrix via lightweight inference on only one CPU.

@article{paperbot3714,
  title = {SparseZETA: Intelligent Auto-tuner for Designing High-Performance SpMV Programs},
  author = {Zhen Du and Ying Liu and Xionghui Chen and Yanbo Zhao and Xiaobing Feng and Huimin Cui and Jiajia Li},
  journal = {Proceedings of the ACM on Programming Languages},
  volume = {10},
  number = {PLDI},
  year = {2026},
  doi = {10.1145/3808313}
}