Enhancing Tensor Contraction Paths Using a Modified Standard Greedy Algorithm with Improved Cost Function

Practical Solutions for Efficient Tensor Contraction Paths Tensor contractions are vital for various fields such as model counting, quantum circuits, graph problems, and machine learning. It's crucial to find efficient contraction paths to minimize computational costs. Efficient Contraction Paths New methods focus on finding efficient contraction paths for tensor hypernetworks. These include simulated annealing, genetic algorithms, graph decomposition, reinforcement learning, and graph neural networks. A novel method using a modified standard greedy algorithm with an improved cost function has outperformed existing approaches. Computing Contraction Paths The computation of contraction paths involves three phases: computation of Hadamard products, contraction of remaining tensors, and computation of outer products. The modified greedy algorithm uses multiple cost functions as parameters, selecting the most appropriate cost function at runtime for generating efficient contraction paths. Experimental Results Experiments comparing various algorithms and measuring flops for different problem examples showed the proposed method's ability to find efficient contraction paths in less time and solve complex problems, outperforming other methods. Conclusion The proposed method offers a novel approach to enhancing tensor contraction paths, using a multi-cost-functions approach and a modified standard greedy algorithm. It provides efficient solutions for practical scenarios, outperforming existing algorithms. AI Solutions for Business Enhanced tensor contraction paths can evolve your company with AI. AI can identify automation opportunities, define KPIs, select AI solutions, and implement them gradually. Reach out to us for AI KPI management advice and continuous insights into leveraging AI. Spotlight on AI Sales Bot Explore the AI Sales Bot designed to automate customer engagement 24/7 and manage interactions across all customer journey stages. Discover how AI can redefine your sales processes and customer engagement.