Hybrid Graph Signal Processing and Deep Learning Framework for VLSI Placement Optimization
Keywords:
Computer-Aided design (CAD), Electronic design automation, Graph filtering, Graph signal processing, Netlist optimization, Physical Design, Placement acceleration, Placement optimization, Spectral graph theory, VLSI placement, Wirelength minimizationAbstract
The increasing complexity of Very Large-Scale Integration (VLSI) circuits has intensified the need for efficient placement optimization algorithms capable of handling millions of interconnected components. Traditional placement methods often suffer from excessive computational complexity and longer convergence times when applied to modern nanoscale integrated circuits. This research proposes a Graph Signal Processing (GSP)-based acceleration framework for VLSI placement optimization that leverages spectral graph representations and graph filtering techniques to improve placement efficiency and reduce runtime overhead. The proposed methodology models the placement netlist as a weighted graph, where cells are represented as vertices and interconnections as edges. Graph spectral decomposition is employed to extract low-frequency structural information, enabling accelerated placement refinement and congestion minimization. Experimental evaluation demonstrates that the proposed approach achieves significant improvements in wirelength reduction, placement convergence speed, and computational efficiency compared to conventional analytical placers. Results indicate an average reduction of 18.6% in placement runtime and 11.3% improvement in Half-Perimeter Wire Length (HPWL), while maintaining routing feasibility and timing constraints. The proposed framework provides a scalable and efficient solution for next-generation VLSI physical design automation.
References
D. K. Hammond, P. Vandergheynst, and R. Gribonval, “Wavelets on graphs via spectral graph theory,” Applied and Computational Harmonic Analysis, vol. 30, no. 2, pp. 129–150, 2011.
J. Devriendt and P. Van Dooren, “Spectral clustering and graph signal processing,” Linear Algebra and its Applications, vol. 554, pp. 30–56, 2018.
O. Lahiouel, M. H. Zaki, and S. Tahar, “Towards enhancing analog circuits sizing using SMT-based techniques,” Proceedings of the 52nd Annual Design Automation Conference, pp. 1–6, Jun. 2015.
R. Selvan et al., “Graph refinement based airway extraction using mean-field networks and graph neural networks,” Medical Image Analysis, vol. 64, p. 101751, Aug. 2020.
J. Zhou et al., “Graph neural networks: A review of methods and applications,” AI Open, vol. 1, pp. 57–81, 2020.
Z. Tian et al., “Graph‐convolutional‐network‐based interactive prostate segmentation in MR images,” Medical Physics, vol. 47, no. 9, pp. 4164–4176, Jul. 2020.
Q. Lian, Y. Qi, G. Pan, and Y. Wang, “Learning graph in graph convolutional neural networks for robust seizure prediction,” Journal of Neural Engineering, vol. 17, no. 3, p. 035004, Jun. 2020.
S. I. Ktena et al., “Metric learning with spectral graph convolutions on brain connectivity networks,” NeuroImage, vol. 169, pp. 431–442, Apr. 2018.
C. A. Caceres et al., “Feature Selection Methods for Zero-Shot Learning of Neural Activity,” Frontiers in Neuroinformatics, vol. 11, Jun. 2017.
A. F. Markus, J. A. Kors, and P. R. Rijnbeek, “The role of explainability in creating trustworthy artificial intelligence for health care: A comprehensive survey of the terminology, design choices, and evaluation strategies,” Journal of Biomedical Informatics, vol. 113, no. 103655, Jan. 2021.
M. Du, N. Liu, and X. Hu, “Techniques for interpretable machine learning,” Communications of the ACM, vol. 63, no. 1, pp. 68–77, Dec. 2019.
D. Arifoglu, H. N. Charif, and A. Bouchachia, “Detecting indicators of cognitive impairment via Graph Convolutional Networks,” Engineering Applications of Artificial Intelligence, vol. 89, p. 103401, Mar. 2020.
T. Talaei Khoei and N. Kaabouch, “Machine Learning: Models, Challenges, and Research Directions,” Future Internet, vol. 15, no. 10, p. 332, Oct. 2023.
H. Khazane, M. Ridouani, F. Salahdine, and N. Kaabouch, “A Holistic Review of Machine Learning Adversarial Attacks in IoT Networks,” Future Internet, vol. 16, no. 1, p. 32, Jan. 2024.
K. DeMedeiros, A. Hendawi, and M. Alvarez, “A Survey of AI-Based Anomaly Detection in IoT and Sensor Networks,” Sensors, vol. 23, no. 3, p. 1352, Jan. 2023.
A. Aldhaheri, F. Alwahedi, M. A. Ferrag, and A. Battah, “Deep learning for cyber threat detection in IoT networks: A review,” Internet of Things and Cyber-Physical Systems, vol. 4, pp. 110–128, Jan. 2024.
Madhu, Bhukya, and V. G. Chari, M, “Intrusion detection models for IOT networks via deep learning approaches,” Measurement: Sensors, vol. 25, 2023.
E. Schulz, M. Speekenbrink, and A. Krause, “A tutorial on Gaussian process regression: Modelling, exploring, and exploiting functions,” Journal of Mathematical Psychology, vol. 85, pp. 1–16, Aug. 2018.