Nonnegative Tensor Decomposition Via Collaborative Neurodynamic Optimization
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917881903579136 |
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| author | Ahmadi-Asl, Salman Leplat, Valentin Phan, Anh-Huy Cichocki, Andrzej |
| author_facet | Ahmadi-Asl, Salman Leplat, Valentin Phan, Anh-Huy Cichocki, Andrzej |
| contents | This paper introduces a novel collaborative neurodynamic model for computing nonnegative Canonical Polyadic Decomposition (CPD). The model relies on a system of recurrent neural networks to solve the underlying nonconvex optimization problem associated with nonnegative CPD. Additionally, a discrete-time version of the continuous neural network is developed. To enhance the chances of reaching a potential global minimum, the recurrent neural networks are allowed to communicate and exchange information through particle swarm optimization (PSO). Convergence and stability analyses of both the continuous and discrete neurodynamic models are thoroughly examined. Experimental evaluations are conducted on random and real-world datasets to demonstrate the effectiveness of the proposed approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18127 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonnegative Tensor Decomposition Via Collaborative Neurodynamic Optimization Ahmadi-Asl, Salman Leplat, Valentin Phan, Anh-Huy Cichocki, Andrzej Numerical Analysis This paper introduces a novel collaborative neurodynamic model for computing nonnegative Canonical Polyadic Decomposition (CPD). The model relies on a system of recurrent neural networks to solve the underlying nonconvex optimization problem associated with nonnegative CPD. Additionally, a discrete-time version of the continuous neural network is developed. To enhance the chances of reaching a potential global minimum, the recurrent neural networks are allowed to communicate and exchange information through particle swarm optimization (PSO). Convergence and stability analyses of both the continuous and discrete neurodynamic models are thoroughly examined. Experimental evaluations are conducted on random and real-world datasets to demonstrate the effectiveness of the proposed approach. |
| title | Nonnegative Tensor Decomposition Via Collaborative Neurodynamic Optimization |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2411.18127 |