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Low-bit OptimizersOffical implementation of the paper: Memory Efficient Optimizers with 4-bit States.Optimizer states are a major source of memory consumption for training neural networks, limiting the maximum trainable model within given memory budget. Compressing the optimizer states from 32-bit floating points to lower bitwidth is promising to reduce the training memory footprint, while the current lowest achievable bitwidth is 8-bit. In this work, we push optimizer states bitwidth down to 4-bit through a detailed empirical analysis of first and second order momentums. Specifically, we find that momentums have complicated outlier patterns, that current block-wise quantization cannot accurately approximate. We use a smaller block size and propose to utilize both row-wise and column-wise information for better quantization. We further identify a zero point problem of quantizing the second-order momentum, and solve this problem with a linear quantizer that excludes the zero point. Our 4-bit optimizer is evaluated on a wide variety of benchmarks including natural language understanding, machine translation, image classification, and instruction tuning. On all the tasks our optimizers can achieve comparable accuracy with their full-precision counterparts, while enjoying better memory efficiency.InstallationRequirementsPython >= 3.7 + CUDA >= 11.0 + torch >= 1.13.0.To install run:git clone install -v -e .UsageUsing 4-bit OptimizersTo get started with 4-bit optimizers, simply replace your existing optimizer with one of our 4-bit optimizers: 4-bit AdamW, 4-bit Factor, or 4-bit AdamW (fused).import lpmm# Comment out or remove the old optimizer# optimizer = torch.optim.AdamW(model.parameters(), lr=1e-3, betas=(0.9, 0.999))# Use 4-bit AdamWoptimizer = lpmm.optim.AdamW(model.parameters(), lr=1e-3, betas=(0.9, 0.999))# Or, use 4-bit Factoroptimizer = lpmm.optim.AdamW(model.parameters(), lr=1e-3, betas=(0.9, 0.999), factor_second_moment=True)# Or, use 4-bit AdamW (fused)optimizer = lpmm.optim.AdamW(model.parameters(), lr=1e-3, betas=(0.9, 0.999), fused=True)Currently, the supported optimizers are Adam (AdamW) and SGD.Modifying Quantization HyperparametersTo modify the quantization configuration (e.g., normalization function, quantization map, bits, etc.) of non-fused optimizers, create a new configuration file and pass its file path to the optimizer using the qconfig argument. Example configurations can be found in the lpmm/configs directory.By default, the quantization configuration for non-fused optimizers is specified in lpmm/configs/default.yml, while for fused optimizers, it is specified in lpmm/configs/2nd_moment_group_128.yml. The configuration for fused optimizers is currently fixed and cannot be changed.To

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