Advancing Direct Convolution Using Convolution Slicing Optimization and ISA Extensions
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Bibliographic record
Abstract
Convolution is one of the most computationally intensive operations that must be performed for machine learning model inference. A traditional approach to computing convolutions is known as the Im2Col + BLAS method. This article proposes SConv: a direct-convolution algorithm based on an MLIR/LLVM code-generation toolchain that can be integrated into machine-learning compilers. This algorithm introduces: (a) Convolution Slicing Analysis (CSA)—a convolution-specific 3D cache-blocking analysis pass that focuses on tile reuse over the cache hierarchy; (b) Convolution Slicing Optimization—a code-generation pass that uses CSA to generate a tiled direct-convolution macro-kernel; and (c) Vector-based Packing—an architecture-specific optimized input-tensor packing solution based on vector-register shift instructions for convolutions with unitary stride. Experiments conducted on 393 convolutions from full ONNX-MLIR machine learning models indicate that the elimination of the Im2Col transformation and the use of fast packing routines result in a total packing time reduction, on full model inference, of 2.3×–4.0× on Intel x86 and 3.3×–5.9× on IBM POWER10. The speed-up over an Im2Col + BLAS method based on current BLAS implementations for end-to-end machine-learning model inference is in the range of 11%–27% for Intel x86 and 11%–34% for IBM POWER10 architectures. The total convolution speedup for model inference is 13%–28% on Intel x86 and 23%–39% on IBM POWER10. SConv also outperforms BLAS GEMM, when computing pointwise convolutions in more than 82% of the 219 tested instances.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it