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Be Like Water: Adaptive Floating Point for Machine Learning

ICML 2022 · Architectures and efficiency › Quantization · approach: Low-precision training formats

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Adaptive Floating Point 8-bit (3-bit offset + 5-bit mantissa) applied to all weights and layer outputs for inference13 CNNs and 3 Transformers · ImageNetV2, SST-2, MNLI, SQuADnormalized accuracy vs FP32: 0.994 to 1.003 of FP32 accuracyHelped
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 coveragefraction 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 benchmarksmantissa 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 outputseffective mantissa width: 35% of layer-output blocks all-positiveHelped
Zero field (shared bits indicating unused mantissa bit positions for offsets 0 and 1) (ablation)AFP shared fields · ImageNet modelseffective mantissa width: increases effective mantissa width for about 50% of blocksHelped
AFP vs BFP at same memory: relative/absolute error reductionAFP weights and layer outputs · ImageNet modelsabsolute error reduction vs BFP: 23% weights, 46% layer outputsHelped
Block size 32 or 64 instead of 16AFP block size · ImageNet modelsmemory density and hardware complexityNo clear effect

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