| { | |
| "id": "a3_compressor", | |
| "name": "A3 Compressor: Activation-Aware Factorized SVD Compression with Fisher/Acti", | |
| "file": "Codes/framework/compression_engine/a3_compressor.py", | |
| "type": "Compression Engine", | |
| "category": "Low-Rank SVD & Factorization", | |
| "paradigm": "svd", | |
| "icon": "\u26a1", | |
| "description": "A3 Compressor: Activation-Aware Factorized SVD Compression with Fisher/Activation Energy Weighting and LayerNorm Recalibration. Registered in COMPRESSOR_REGISTRY as 'a3' and 'a3_compressor'. Mathematical Formulation: 1. Online Streaming Activation Covariance & Empirical Fisher Diagonal Proxy (Activation Energy): $$C_X = \\frac{1}{N} \\sum_{t=1}^N x_t x_t^\\top, \\quad F = \\mathbb{E}_{x \\sim \\mathc", | |
| "classes": [ | |
| "A3FactorizedLinear", | |
| "A3Compressor" | |
| ], | |
| "methods_count": 18, | |
| "math_latex": "\\text{FLOPs}_{\\text{dense}} = 2 \\cdot m \\cdot n \\quad \\longrightarrow \\quad \\text{FLOPs}_{\\text{factorized}} = 2 \\cdot r \\cdot (m + n)", | |
| "components": [ | |
| { | |
| "id": "v_factor", | |
| "name": "Factor V (Low-Rank Subspace Projection)", | |
| "role": "Projection to Rank r", | |
| "shape_transform": "[r \u00d7 d_in]", | |
| "color": "#3acbb8", | |
| "math_latex": "z_t = x_t V_r^\\top, \\quad V_r \\in \\mathbb{R}^{r \\times d_{in}}" | |
| }, | |
| { | |
| "id": "u_factor", | |
| "name": "Factor U (Full-Rank Expansion Projection)", | |
| "role": "Expansion to Output Space", | |
| "shape_transform": "[d_out \u00d7 r]", | |
| "color": "#2dd4bf", | |
| "math_latex": "y_t = z_t (\\Sigma_r U_r^\\top) + b, \\quad U_r \\in \\mathbb{R}^{d_{out} \\times r}" | |
| }, | |
| { | |
| "id": "adapter", | |
| "name": "Residual LoRA / Norm Calibration", | |
| "role": "Fidelity Compensation", | |
| "shape_transform": "[d_out \u00d7 d_in] Residual", | |
| "color": "#5eead4", | |
| "math_latex": "\\Delta y_t = x_t (B A)^\\top \\cdot \\frac{\\alpha}{r}, \\quad A \\in \\mathbb{R}^{r \\times d_{in}}, \\; B \\in \\mathbb{R}^{d_{out} \\times r}" | |
| } | |
| ], | |
| "model_projections": { | |
| "distilbert": { | |
| "hidden_size": 768, | |
| "intermediate_size": 3072, | |
| "baseline_layer_params": 6488064, | |
| "compressed_layer_params": 786432, | |
| "savings_ratio": 8.25 | |
| }, | |
| "roberta": { | |
| "hidden_size": 768, | |
| "intermediate_size": 3072, | |
| "baseline_layer_params": 6488064, | |
| "compressed_layer_params": 786432, | |
| "savings_ratio": 8.25 | |
| }, | |
| "gpt2": { | |
| "hidden_size": 768, | |
| "intermediate_size": 3072, | |
| "baseline_layer_params": 6488064, | |
| "compressed_layer_params": 786432, | |
| "savings_ratio": 8.25 | |
| }, | |
| "qwen": { | |
| "hidden_size": 896, | |
| "intermediate_size": 4864, | |
| "baseline_layer_params": 11124736, | |
| "compressed_layer_params": 1081344, | |
| "savings_ratio": 10.29 | |
| } | |
| } | |
| } |
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