Promoting Low-Rank Neural Network Compression Through Overparameterized Training

Kernekoncepter

LoRITa promotes low-rankness in neural network weights through the composition of linear layers during training, enabling efficient post-training compression without changing the network structure.

Resumé

The paper introduces a novel approach called Low-Rank Induced Training (LoRITa) that promotes low-rankness in neural network weights during training. LoRITa achieves this by overparameterizing the layers to be compressed through linear layer composition, followed by post-training singular value truncation on the product of the composed weights.
The key highlights are:

LoRITa eliminates the need for initializing with pre-trained models or specifying the rank prior to training, unlike previous low-rank training methods.
Theoretical justification is provided, showing that standard weight decay regularization naturally imposes low-rankness on models with linear layer composition before activation.
Extensive experiments on image classification tasks using MNIST, CIFAR10, and CIFAR100 datasets demonstrate the effectiveness of LoRITa across different neural network architectures, including Fully Connected Networks (FCNs), Convolutional Neural Networks (CNNs), and Vision Transformers (ViTs).
Compared to leading structured pruning methods, LoRITa achieves either competitive or state-of-the-art results in terms of FLOPs reduction and parameter drop.

Statistik

The paper does not provide specific numerical data points to support the key logics. The results are presented in the form of plots and comparative tables.

Citater

The paper does not contain any striking quotes that support the key logics.

Vigtigste indsigter udtrukket fra

Structure-Preserving Network Compression Via Low-Rank Induced Training Through Linear Layers Composition

by Xitong Zhang... kl. arxiv.org 05-07-2024

https://arxiv.org/pdf/2405.03089.pdf

Dybere Forespørgsler

How does the performance of LoRITa scale with the depth of the neural network

The performance of LoRITa scales well with the depth of the neural network. As the depth increases, the overparameterization introduced by LoRITa allows for a more effective promotion of low-rankness in the weight matrices. This results in a faster decay of singular values, leading to better compression outcomes. Additionally, the ability of LoRITa to maintain test accuracy while achieving significant compression rates is particularly advantageous for deeper networks. The experiments conducted on FCNs, CNNs, and ViTs demonstrate that LoRITa consistently outperforms traditional methods in terms of compression efficiency, even with complex and deep architectures.

What are the potential drawbacks or limitations of the LoRITa approach, and how could they be addressed in future work

While LoRITa shows promising results in compressing neural networks, there are some potential drawbacks and limitations that should be considered:

Training Time: Overparameterization can lead to longer training times, especially with larger values of N. This could be addressed by exploring optimization techniques to speed up the training process without compromising the compression efficiency.
Hyperparameter Sensitivity: The choice of hyperparameters, such as the weight decay parameter and the factorization parameter N, can impact the performance of LoRITa. Future work could focus on automating the selection of these hyperparameters to make the method more user-friendly.
Generalization to Other Architectures: While LoRITa has shown success with FCNs, CNNs, and ViTs, its applicability to other types of neural network architectures, such as RNNs or GANs, may require further investigation. Adapting the framework to different network structures could present new challenges that need to be addressed.

To address these limitations, future research could focus on optimizing the training process, developing automated hyperparameter tuning methods, and exploring the extension of LoRITa to a wider range of neural network architectures.

Could the LoRITa framework be extended to other types of neural network architectures beyond FCNs, CNNs, and ViTs, such as recurrent neural networks or generative models

The LoRITa framework has the potential to be extended to other types of neural network architectures beyond FCNs, CNNs, and ViTs. Here are some considerations for extending LoRITa to different architectures:

Recurrent Neural Networks (RNNs): LoRITa could be applied to RNNs by considering the weight matrices associated with the recurrent connections. By overparameterizing and promoting low-rankness in these matrices, it may be possible to achieve efficient compression in RNNs without sacrificing performance.
Generative Adversarial Networks (GANs): For GANs, LoRITa could be used to compress the weight matrices of both the generator and discriminator networks. By factorizing and truncating these matrices, it may be possible to reduce the computational and storage requirements of GAN models while maintaining their generative capabilities.
Graph Neural Networks (GNNs): Extending LoRITa to GNNs would involve considering the weight matrices associated with message passing and aggregation operations. By applying the same principles of overparameterization and low-rank promotion, it may be possible to compress GNN models effectively.

Overall, the key to extending the LoRITa framework to other architectures lies in identifying the relevant weight matrices and designing a training approach that promotes low-rankness while preserving the performance of the network. Further research and experimentation will be necessary to explore the application of LoRITa to a broader range of neural network architectures.