dynamic quantization

**Dynamic quantization** determines quantization parameters (scale and zero-point) **at runtime** based on the actual values flowing through the network during inference, rather than using fixed parameters determined during calibration. **How It Works** - **Weights**: Quantized statically (ahead of time) and stored in INT8 format. - **Activations**: Remain in floating-point during computation. Quantization parameters are computed **dynamically** for each batch based on the observed min/max values. - **Computation**: Matrix multiplications and other operations are performed in INT8, but activations are quantized on-the-fly. **Workflow** 1. **Load**: Load pre-quantized INT8 weights. 2. **Observe**: For each activation tensor, compute min/max values from the current batch. 3. **Quantize**: Compute scale and zero-point, quantize activations to INT8. 4. **Compute**: Perform INT8 operations (e.g., matrix multiplication). 5. **Dequantize**: Convert results back to FP32 for the next layer. **Advantages** - **No Calibration**: No need for a calibration dataset to determine activation ranges — the model adapts to the actual input distribution at runtime. - **Accuracy**: Often achieves better accuracy than static quantization because it adapts to each input's specific value range. - **Easy to Apply**: Can be applied post-training without retraining or fine-tuning. **Disadvantages** - **Runtime Overhead**: Computing min/max and quantization parameters for each batch adds latency (typically 10-30% slower than static quantization). - **Variable Latency**: Inference time varies depending on input value ranges. - **Limited Speedup**: Activations are quantized/dequantized repeatedly, reducing the efficiency gains compared to static quantization. **When to Use Dynamic Quantization** - **Recurrent Models**: LSTMs, GRUs, and Transformers where activation ranges vary significantly across sequences. - **Variable Input Distributions**: When inputs have unpredictable value ranges (e.g., user-generated content). - **Quick Deployment**: When you need quantization benefits without the effort of calibration. **PyTorch Example** ```python import torch model = MyModel() quantized_model = torch.quantization.quantize_dynamic( model, {torch.nn.Linear, torch.nn.LSTM}, # Layers to quantize dtype=torch.qint8 ) ``` **Comparison** | Aspect | Dynamic | Static | |--------|---------|--------| | Calibration | Not required | Required | | Accuracy | Higher (adaptive) | Lower (fixed) | | Speed | Moderate | Fastest | | Latency | Variable | Consistent | | Use Case | RNNs, variable inputs | CNNs, fixed inputs | Dynamic quantization is the **easiest quantization method to apply** and works particularly well for recurrent models and NLP tasks where activation distributions vary significantly.

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