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Towards Higher Ranks via Adversarial Weight Pruning (2311.17493v1)

Published 29 Nov 2023 in cs.CV

Abstract: Convolutional Neural Networks (CNNs) are hard to deploy on edge devices due to its high computation and storage complexities. As a common practice for model compression, network pruning consists of two major categories: unstructured and structured pruning, where unstructured pruning constantly performs better. However, unstructured pruning presents a structured pattern at high pruning rates, which limits its performance. To this end, we propose a Rank-based PruninG (RPG) method to maintain the ranks of sparse weights in an adversarial manner. In each step, we minimize the low-rank approximation error for the weight matrices using singular value decomposition, and maximize their distance by pushing the weight matrices away from its low rank approximation. This rank-based optimization objective guides sparse weights towards a high-rank topology. The proposed method is conducted in a gradual pruning fashion to stabilize the change of rank during training. Experimental results on various datasets and different tasks demonstrate the effectiveness of our algorithm in high sparsity. The proposed RPG outperforms the state-of-the-art performance by 1.13% top-1 accuracy on ImageNet in ResNet-50 with 98% sparsity. The codes are available at https://github.com/huawei-noah/Efficient-Computing/tree/master/Pruning/RPG and https://gitee.com/mindspore/models/tree/master/research/cv/RPG.

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Authors (5)
  1. Yuchuan Tian (11 papers)
  2. Hanting Chen (52 papers)
  3. Tianyu Guo (33 papers)
  4. Chao Xu (283 papers)
  5. Yunhe Wang (145 papers)

Summary

Analysis of "Towards Higher Ranks via Adversarial Weight Pruning"

The paper, "Towards Higher Ranks via Adversarial Weight Pruning," addresses a significant challenge in deploying Convolutional Neural Networks (CNNs) on edge devices due to their high computational and storage demands. The contribution of this paper is a novel method for network pruning referred to as Rank-based Pruning (RPG), which aims to enhance the ranks of sparse network weights through an adversarial approach. This paper provides an intricate exploration of weight pruning techniques and presents compelling numerical results, especially at high sparsity rates.

Key Contributions and Methodology

The RPG method innovatively marries the concepts of low-rank approximations and adversarial optimization to address the limitations often encountered in unstructured pruning methods. The authors argue that at high sparsities, unstructured pruning often inadvertently devolves into structured pruning patterns, characterized by low-rank weight matrices. This is problematic as structured pruning is less effective than its unstructured counterpart due to strict hardware constraints and resultant poor performance.

To mitigate this, RPG employs a two-step adversarial optimization process:

  1. Low-Rank Approximation Minimization: In each pruning step, Singular Value Decomposition (SVD) is used to determine the best low-rank approximation of the weight matrices, minimizing the approximation error.
  2. Adversarial Rank Maximization: Subsequently, an adversarial technique is applied to these approximations, maximizing their distance from the original weight matrices to guide them towards a high-rank topology. This process is articulated as a min-max optimization problem that regularizes the ranks without compromising the network’s performance.

The paper's proposed approach is executed in a gradual pruning framework, stabilizing the rank variation throughout the training phase, which helps in maintaining model robustness.

Experimental Validation

The paper provides a detailed empirical analysis of the RPG method across multiple datasets and network architectures, putting special emphasis on high-sparsity scenarios. On the ImageNet dataset, for example, using ResNet-50, the RPG method achieves a top-1 accuracy improvement of 1.13% over the state-of-the-art methods at 98% sparsity. This highlights RPG’s effectiveness in preserving model accuracy even when the network is significantly sparse.

Implications and Future Directions

From a theoretical standpoint, maintaining higher ranks in network weights under strict sparsity constraints offers a new avenue for improving the performance of neural networks. Practically, this means more efficient and feasible deployment of CNNs on resource-constrained environments, like mobile devices, without substantial degradation in performance.

Looking forward, the RPG method sets a precedent for further research in exploring adversarial techniques in model optimization, not just for sparsity but potentially for other network characteristics such as robustness to adversarial attacks or energy consumption optimization. As the landscape of edge computing evolves, methods like RPG could become integral in designing next-generation smart devices capable of performing complex AI tasks in real-time.

Overall, this paper enriches the ongoing discourse on network pruning by integrating rank-based considerations into the pruning process, thereby achieving significant advancements in the sparsity-accuracy trade-off in CNNs. The method’s adaptability to various neural architectures further suggests the utility of rank-focused optimization in broader AI applications.