Critical path generation (CPG) plays a key role in many circuit timing analysis (CTA) applications. As the design complexity continues to increase, CPG runtime has become a major bottleneck in many timing-driven applications. To mitigate this runtime challenge, several CPU-based algorithms have been introduced by both the CTA and parallel computing communities, but they remain slow for large CPG problems. While GPU-accelerated solutions exist, they are often inexact and incur significant overhead from iterative CPU–GPU data transfers, limiting their practical use in CTA applications. To overcome this challenge, we propose G-PathGen, an exact GPU-parallel CPG algorithm targeting CTA applications. G-PathGen introduces efficient kernel algorithms for generating critical paths in parallel and dynamically adjusts the generated path count to maximize GPU utilization while minimizing redundant work. Compared to a state-of-the-art GPU solution, G-PathGen is 1.6 × –243.8 × faster when generating one million critical paths on industrial circuit graphs.

Critical Path Generation (CPG) is fundamental for many static timing analysis (STA) applications. As the circuit complexity continues to increase, CPG runtime has quickly become the bottleneck due to its time-consuming and iterative nature. Despite many CPG algorithms introduced by existing timers, nearly all of them are limited to a single CPU thread, leading to long runtime for large CPG queries. To mitigate this runtime challenge, we need a parallel CPG algorithm. However, designing a parallel CPG algorithm is very challenging because we need to strategically partition the path search space into multiple groups that can run in parallel while accommodating different slack priorities. To overcome this challenge, we propose PathGen, an efficient CPU-parallel CPG algorithm. Path-Gen introduces a multi-level queue scheduling framework that can efficiently parallelize the search process of critical paths. Compared to a state-of-the-art single-threaded timer, PathGen is up to 7.4× faster with 16 threads and achieves nearly 100% accuracy when generating one million critical paths on large designs.

Recent static timing analysis (STA) tools have utilized task dependency graph (TDG) parallelism to enhance the STA runtime performance. Although TDG parallelism shows promising speedup, the overhead of scheduling a TDG can become dominant as the TDG becomes larger. To minimize the scheduling overhead, several TDG partitioning algorithms have been proposed to reduce the TDG size without affecting its task parallelism. Despite improved performance, existing TDG partitioners all fall short of incremental partitioning, limiting their practical use in STA tools that support timing-driven operations. To overcome this limitation, we propose iTAP, an incremental TDG partitioner to fully leverage the power of TDG partitioning in task-parallel STA applications. Compared to a state-of-the-art full TDG partitioner, iTAP enhances the overall STA performance by up to 2.97×.

Recent advances in GPU-accelerated graph partitioning have achieved significant performance gains but remain limited to full graph partitioning, lacking support for incremental updates. This limitation is critical in CAD applications, where circuit graphs undergo iterative, incremental modifications during optimization. We present iG-kway, the first GPU-based incremental k-way graph partitioner. iG-kway features an incrementality-aware data structure and a refinement kernel that efficiently updates only affected vertices with minimal quality loss. Experiments show that iG-kway delivers up to $84 \times$ speedup over the state-of-the-art G-kway with comparable partitioning quality.

Cell placement is a step of paramount importance in chip physical design and requests relentless effort for continuous improvement. Recently, designs with two-dimensional (2D) processing element arrays have become popular primarily due to their deep neural network hardware applications. The 2D array regularity is similar to but different from the regularity of conventional datapath designs. To exploit the 2D array regularity, this work develops a new global placement technique, Placement of Arrays with SOft Regularity (PASOR), built upon RePlAce, the state-of-the-art placement framework. Experimental results from various designs show that the proposed approach can reduce global routing wirelength by 11% and 6% compared to RePlAce and a previous work on datapath driven placement, respectively.

Recent static timing analysis (STA) engines have leveraged task dependency graph (TDG) parallelism to accelerate various STA algorithms, including graph-based analysis and path-based analysis. Despite the promising speedup via task parallelism, the scheduling cost of a TDG has become dominant when handling large TDGs. To overcome this challenge, we propose G-PASTA, a simple and fast TDG partitioning algorithm to reduce the scheduling cost of large task-parallel STA algorithms. By harnessing the power of GPU computing, G-PASTA incurs minimal cost of partitioning while bringing significant runtime improvement to task-parallel STA algorithms. Compared to a state-of-the-art CPU-based TDG partitioner, G-PASTA is up to 41.8× faster in partitioning runtime and can improve the overall STA performance by 43% on large designs.

Graph partitioning is essential for understanding the structure of a dataset, such as social networks and web pages. Among various graph partitioners, stochastic block partitioning (SBP) has shown promise in handling complex graphs with varying community sizes or strong intra-community connections. However, the sequential nature of the Monte Carlo Markov Chain iterations and the stochastic proposal generation process limit the efficiency and scalability of SBP. To overcome this limitation, this paper introduces GSAP, a GPU-accelerated stochastic graph partitioner, to enhance the runtime performance of SBP. We propose a parallel algorithm to speed up the generation process of stochastic proposals on GPU. Additionally, we accelerate the calculation of the minimal description length by dividing the formulation into several independent computations. To achieve better performance, we introduce an efficient blockmodel update algorithm to dynamically manage the blockmodel matrix on GPU. Our experimental results on the 2022 HPEC GraphChallenge dataset demonstrate that GSAP can achieve up to 12.3 × and 60.9 × runtime speedup on a single A4000 GPU compared to two CPU-parallel state-of-the-art SBP algorithms.

Static timing analysis (STA) is an integral part in the overall design flow because it verifies the expected timing behaviors of a circuit. However, as the circuit complexity continues to enlarge, there is an increasing need for enhancing the performance of existing STA algorithms using emerging heterogeneous parallelism that comprises manycore central processing units (CPUs) and graphics processing units (GPUs). In this paper, we introduce several state-of-the-art STA techniques, including task-based parallelism, task graph partition, and GPU kernel algorithms, all of which have brought significant performance benefits to STA applications. Motivated by these successful results, we will introduce a task-parallel programming system to generalize our solutions to benefit broader scientific computing applications.

Cell placement is such a critical step for chip physical design that it needs many kinds of efforts for improvement. Recently, designs with 2D processing element arrays have become popular primarily due to their deep neural network computing applications. The 2D array regularity is similar to but different from the regularity of conventional datapath designs. To exploit the 2D array regularity, this work develops a new global placement technique built upon RePlAce, the latest state-of-the-art placement framework. Experimental results from various designs show that the proposed technique can reduce half-perimeter wirelength and Steiner tree wirelength by about $6%$ and $12%$, respectively.

Channel decoder is a key component module in many communication systems. Recently, neural networks-based channel decoders have been actively investigated because of the great potential of their data-driven decoding procedure. However, as the intersection among machine learning, information theory and hardware design, the efficient algorithm and hardware codesign of deep learning-powered channel decoder has not been well studied. This paper is a first step towards exploring the efficient DNN-enabled channel decoders, from a joint perspective of algorithm and hardware. We first revisit our recently proposed doubly residual neural decoder. By introducing the advanced architectural topology on the decoder design, the overall error-correcting performance can be significantly improved. Based on this algorithm, we further develop the corresponding systolic array-based hardware architecture for the DRN decoder. The corresponding FPGA implementation for our DRN decoder on short LDPC code is also developed.