Variable Metric Splitting Methods for Neuromorphic Circuits Simulation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909572733599744 |
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| author | Shahhosseini, Amir Burger, Thomas Sepulchre, Rodolphe |
| author_facet | Shahhosseini, Amir Burger, Thomas Sepulchre, Rodolphe |
| contents | This paper proposes a variable metric splitting algorithm to solve the electrical behavior of neuromorphic circuits made of capacitors, memristive elements, and batteries. The gradient property of the memristive elements is exploited to split the current to voltage operator as the sum of the derivative operator, a Riemannian gradient operator, and a nonlinear residual operator that is linearized at each step of the algorithm. The diagonal structure of the three operators makes the variable metric forward-backward splitting algorithm scalable and amenable to the simulation of large-scale neuromorphic circuits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06793 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variable Metric Splitting Methods for Neuromorphic Circuits Simulation Shahhosseini, Amir Burger, Thomas Sepulchre, Rodolphe Systems and Control This paper proposes a variable metric splitting algorithm to solve the electrical behavior of neuromorphic circuits made of capacitors, memristive elements, and batteries. The gradient property of the memristive elements is exploited to split the current to voltage operator as the sum of the derivative operator, a Riemannian gradient operator, and a nonlinear residual operator that is linearized at each step of the algorithm. The diagonal structure of the three operators makes the variable metric forward-backward splitting algorithm scalable and amenable to the simulation of large-scale neuromorphic circuits. |
| title | Variable Metric Splitting Methods for Neuromorphic Circuits Simulation |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2504.06793 |