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Be Like Water: Adaptive Floating Point for Machine Learning
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Adaptive Floating Point 8-bit (3-bit offset + 5-bit mantissa) applied to all weights and layer outputs for inference | 13 CNNs and 3 Transformers · ImageNetV2, SST-2, MNLI, SQuAD | normalized accuracy vs FP32: 0.994 to 1.003 of FP32 accuracy | Helped |
| Use of 3-bit private offset (Auto Focus) instead of BFP with no offset at same bits (ablation) | block-based representation · ImageNet CNN weights, per-layer coverage | fraction of values not truncated to zero: min lower whisker 98% (AFP 8-bit) vs 77% (BFP 5-bit) | Helped |
| Round-to-nearest instead of truncate for mantissa (ablation) | traditional rounding for inference · ImageNet and transformer benchmarks | mantissa bits required for 99% of FP32 accuracy: max 5 bits (nearest) vs 9 bits (truncate) | Helped |
| Positive field (shared bit marking all-positive 8-value halves, reusing sign bit as mantissa bit) (ablation) | AFP shared fields · layer outputs | effective mantissa width: 35% of layer-output blocks all-positive | Helped |
| Zero field (shared bits indicating unused mantissa bit positions for offsets 0 and 1) (ablation) | AFP shared fields · ImageNet models | effective mantissa width: increases effective mantissa width for about 50% of blocks | Helped |
| AFP vs BFP at same memory: relative/absolute error reduction | AFP weights and layer outputs · ImageNet models | absolute error reduction vs BFP: 23% weights, 46% layer outputs | Helped |
| Block size 32 or 64 instead of 16 | AFP block size · ImageNet models | memory density and hardware complexity | No clear effect |
Closest papers by meaning
- Training DNNs with Hybrid Block Floating Point (NeurIPS 2018 · similarity 0.88)
- Flexpoint: An Adaptive Numerical Format for Efficient Training of Deep Neural Networks (NeurIPS 2017 · similarity 0.87)
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- Collage: Light-Weight Low-Precision Strategy for LLM Training (ICML 2024 · similarity 0.84)
- PikeLPN: Mitigating Overlooked Inefficiencies of Low-Precision Neural Networks (CVPR 2024 · similarity 0.84)
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