This minimal repo contains information about the paper "LoRA Learns Less and Forgets Less" (Biderman et al. TMLR, 2024).
Low-Rank Adaptation (LoRA) is a widely-used parameter-efficient finetuning method for large language models. LoRA saves memory by training only low rank perturbations to selected weight matrices. In this work, we compare the performance of LoRA and full finetuning on two target domains, programming and mathematics. We consider both the instruction finetuning (≈100K prompt-response pairs) and continued pretraining (≈20B unstructured tokens) data regimes. Our results show that, in the standard low-rank settings, LoRA substantially underperforms full finetuning. Nevertheless, LoRA better maintains the base model’s performance on tasks outside the target domain. We show that LoRA mitigates forgetting more than common regularization techniques such as weight decay and dropout; it also helps maintain more diverse generations. Finally, we show that full finetuning learns perturbations with a rank that is 10-100× greater than typical LoRA configurations, possibly explaining some of the reported gaps. We conclude by proposing best practices for finetuning with LoRA.
Figure 1: LoRA performance scales by rank and underperforms full finetuning in code and math. (A) Starcoder-Python, (B) Magicoder-Evol-Instruct-110K, (C) OpenWebMath, (D) MetaMathQA. In (A) and (B) y-axis: HumanEval pass@1. In (C) and (D) y-axis: GSM8K strict match. In all panels, “base model” indicates Llama-2-7B without instruction finetuning. Note that 16 epochs are ≈1.16B and ≈1.6B tokens, for Magicoder-Evol-Instruct-110K and MetaMathQA, respectively.Figure 2: LoRA forgets less than full finetuning. In all panels, the y-axis shows the average of HellaSwag, ARC-Challenge and Winogrande for Llama-2-7B trained trained on: (A) StarCoder-Python (B) Magicoder-Evol-Instruct-110k (C) OpenWebMath (D) MetaMathQA.
We trained Llama-2-7B using full finetuning and LoRA. Model checkpoints and LoRA adapters can be found on HuggingFace here: LoRA-TMLR-2024. Intermediate checkpoints are available as well by using the branches associated with each model.
This work was done in collaboration with Databricks Mosaic AI Research.
Setting | Dataset | HuggingFace Collection |
---|---|---|
Continued Pretraining - Code | StarCoder-Python | LoRA-TMLR-2024/continued-pretraining-code-starcoder-python |
Continued Pretraing - Math | OpenWebMath | LoRA-TMLR-2024/continued-pretraining-math-openwebmath |
Instruction Finetuning - Code | Magicoder-Evol-Instruct-110K | LoRA-TMLR-2024/instruction-finetuning-code-magicoder-evol-instruct-110k |
Instruction Finetuning - Math | MetaMathQA | LoRA-TMLR-2024/instruction-finetuning-math-metamathqa |
All training was done using the Databricks MosaicML composer, streaming, and llm-foundry repositories, as well as the HuggingFace peft library.
@article{
biderman2024lora,
title={Lo{RA} Learns Less and Forgets Less},
author={Dan Biderman and Jacob Portes and Jose Javier Gonzalez Ortiz and Mansheej Paul and Philip Greengard and Connor Jennings and Daniel King and Sam Havens and Vitaliy Chiley and Jonathan Frankle and Cody Blakeney and John Patrick Cunningham},
journal={Transactions on Machine Learning Research},
issn={2835-8856},
year={2024},
url={https://openreview.net/forum?id=aloEru2qCG},
note={Featured Certification}
}
5/15/2024 - v1 of the paper shared on arXiv
8/13/2024 - Paper accepted to TMLR
9/23/2024 - arXiv v2 updated (same as TMLR camera ready version)
9/24/2024 - Model checkpoints uploaded to HuggingFace (WIP)
9/26/2024 - All model checkpoints (including intermediate checkpoints) have been uploaded to HuggingFace
In all four scenarios below, we use the Llama-2-7B base model meta-llama/Llama-2-7b-hf. For the CPT runs, we use the meta-llama/Llama-2-7b-hf tokenizer, while for the IFT runs we use the meta-llama/Llama-2-7b-chat-hf tokenizer.
StarCoder-Python (Li et al., 2023a) This dataset consists of permissively licensed repositories from GitHub, including Git commits, in 80+ programming languages. We chose the Python subset and sub-sampled it to 20B tokens.
Parameter | Value |
---|---|
seq_len | 4096 |
optimizer | decoupled_lionw (betas=[0.9, 0.95]) |
learning_rate | 1.0e-05 for LoRA and Full Finetuning |
scheduler | inv_sqrt_with_warmup (t_scale=1000ba, t_warmup=1000ba, t_cooldown=5086ba, alpha_f_decay=1, alpha_f_cooldown=0) |
weight_decay | 1.0e-06 |
precision | amp_bf16 |
global_train_batch_size | 192 |
device_train_microbatch_size | 6 |
gradient_clipping | norm (threshold=1) |
num_gpus | 32 |
We trained models for 0.25B, 0.5B, 1B, 2B, 4B, 8B, 16B and 20B tokens. These checkpoints can be found for each LoRA and full finetuning setting in the HuggingFace model branches.
OpenWebMath (Paster et al., 2023) - This dataset contains 14.7B tokens derived from mathematical web pages from Common Crawl, correctly formatted to preserve mathematical content such as LaTeX equations. To match with the StarCoder-Python dataset, we trained on up to 20B tokens, repeating tokens beyond the first 14.7B. An analysis of this dataset shows that it contains a considerable amount of full English sentences.
Parameter | Value |
---|---|
max_seq_len | 4096 |
optimizer | decoupled_lionw (betas=[0.9, 0.95]) |
learning_rate | 1.0e-05 for full finetuning, 4.0e-05 for LoRA |
scheduler | inv_sqrt_with_warmup (t_scale=1000ba, t_warmup=1000ba, t_cooldown=5086ba, alpha_f_decay=1, alpha_f_cooldown=0) |
weight_decay | 0 |
precision | amp_bf16 |
global_train_batch_size | 192 |
device_train_microbatch_size | 6 |
gradient_clipping | norm (threshold=1) |
num_gpus | 32 |
We trained models for 0.25B, 0.5B, 1B, 2B, 4B, 8B, 16B and 20B tokens. These checkpoints can be found for each LoRA and full finetuning setting in the HuggingFace model branches.
Magicoder-Evol-Instruct-110K (Wei et al., 2023) This dataset contains 72.97M tokens of programming questions and answers. It reproduces the “Evol-Instruct” dataset of WizardCoder (Luo et al., 2023b) by iteratively prompting an LLM (GPT-4) to increase the difficulty of a set of question-answer pairs from Code Alpaca (Chaudhary, 2023).
Parameter | Value |
---|---|
max_seq_len | 4096 |
optimizer | decoupled_lionw (betas=[0.9, 0.95]) |
learning_rate | 5e-5 for full finetuning; 2e-4 for rank r = 16, 64 and 1e-4 for r = 256 α = 2r = 512 (due to instabilities/loss spikes at 2e-4) |
scheduler | cosine_with_warmup (alpha_f=0.01, t_warmup=0.1dur) |
weight_decay | 0 |
precision | amp_bf16 |
global_train_batch_size | 192 |
device_train_microbatch_size | 6 |
gradient_clipping | norm (threshold=1) |
num_gpus | 32 |
Each model was finetuned separately for 1, 2, 4, 8 and 16 epochs. These checkpoints are available as well by using the branches associated with each model.
Epoch | Number of Batches | Estimated Tokens |
---|---|---|
1 | 193 | 72,970,000 |
2 | 386 | 145,940,000 |
4 | 772 | 291,880,000 |
8 | 1544 | 583,760,000 |
16 | 3088 | 1,167,520,000 |
MetaMathQA (Yu et al., 2023) This dataset was built by bootstrapping mathematical word problems from the training sets of GSM8K (Cobbe et al., 2021) and MATH (Hendrycks et al., 2021) by rewriting the questions with variations using GPT-3.5. This dataset contains 395K question-answer pairs and roughly 103M tokens.
Parameter | Value |
---|---|
seq_len | 1024 |
optimizer | decoupled_lionw (betas=[0.9, 0.95]) |
learning_rate | Full finetuning: 1e-5, LoRA: 1e-4 for r = 16, 64, 5e-5 for r = 256 due to instabilities |
scheduler | cosine_with_warmup (alpha_f=0.01, t_warmup=0.1dur) |
weight_decay | 0 |
precision | amp_bf16 |
global_train_batch_size | 768 |
device_train_microbatch_size | 24 |
gradient_clipping | norm (threshold=1) |
num_gpus | 32 |
Each model was finetuned separately for 1, 2, 4, 8 and 16 epochs. These checkpoints are available as well by using the branches associated with each model.
Epoch | Estimated Tokens |
---|---|
1 | 103,000,000 |
2 | 206,000,000 |
4 | 412,000,000 |
8 | 824,000,000 |
16 | 1,648,000,000 |