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arXiv 2302.00538cs.LGphysics.comp-ph
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Experimental observation on a low-rank tensor model for eigenvalue problems

Peking University(北京大学)

Jun Hu, Pengzhan Jin

英文摘要:

Here we utilize a low-rank tensor model (LTM) as a function approximator, combined with the gradient descent method, to solve eigenvalue problems including the Laplacian operator and the harmonic oscillator. Experimental results show the superiority of the polynomial-based low-rank tensor model (PLTM) compared to the tensor neural network (TNN). We also test such low-rank architectures for the classification problem on the MNIST dataset.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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