Memristors and memristor crossbar arrays have been widely studied for neuromorphic and other in-memory computing applications. To achieve optimal system performance, however, it is essential to integrate memristor crossbars with peripheral and control circuitry. Here, we report a fully functional, hybrid memristor chip in which a passive crossbar array is directly integrated with custom-designed circuits, including a full set of mixed-signal interface blocks and a digital processor for reprogrammable computing. The memristor crossbar array enables online learning and forward and backward vector-matrix operations, while the integrated interface and control circuitry allow mapping of different algorithms on chip. The system supports charge-domain operation to overcome the nonlinear I–V characteristics of memristor devices through pulse width modulation and custom analogue-to-digital converters. The integrated chip offers all the functions required for operational neuromorphic computing hardware. Accordingly, we demonstrate a perceptron network, sparse coding algorithm and principal component analysis with an integrated classification layer using the system.
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The data that support the plots within this paper and other findings of this study are available from the corresponding author upon reasonable request.
Chua, L. Memristor—the missing circuit element. IEEE Trans. Circuit Theory 18, 507–519 (1971).
Strukov, D. B., Snider, G. S., Stewart, D. R. & Williams, R. S. The missing memristor found. Nature 453, 80–83 (2008).
Jo, S. H. et al. Nanoscale memristor device as synapse in neuromorphic systems. Nano Lett. 10, 1297–1301 (2010).
Yu, S., Wu, Y., Jeyasingh, R., Kuzum, D. & Wong, H. S. P. An electronic synapse device based on metal oxide resistive switching memory for neuromorphic computation. IEEE Trans. Electron Devices 58, 2729–2737 (2011).
Zidan, M. A., Strachan, J. P. & Lu, W. D. The future of electronics based on memristive systems. Nat. Electron. 1, 22–29 (2018).
Krestinskaya, O., James, A. P. & Chua, L. O. Neuro-memristive circuits for edge computing: a review. Preprint at https://arxiv.org/abs/1807.00962 (2018)
Xia, Q. & Yang, J. J. Memristive crossbar arrays for brain-inspired computing. Nat. Mater. 18, 309–323 (2019).
Ielmini, D. & Wong, H.-S. P. In-memory computing with resistive switching devices. Nat. Electron. 1, 333–343 (2018).
Prezioso, M. et al. Training and operation of an integrated neuromorphic network based on metal-oxide memristors. Nature 521, 61–64 (2015).
Yao, P. et al. Face classification using electronic synapses. Nat. Commun. 8, 15199 (2017).
Alibart, F., Zamanidoost, E. & Strukov, D. B. Pattern classification by memristive crossbar circuits using ex situ and in situ training. Nat. Commun. 4, 2072 (2013).
Bayat, F. M. et al. Implementation of multilayer perceptron network with highly uniform passive memristive crossbar circuits. Nat. Commun. 9, 2331 (2018).
Li, C. et al. Efficient and self-adaptive in-situ learning in multilayer memristor neural networks. Nat. Commun. 9, 2385 (2018).
Li, C. et al. Analogue signal and image processing with large memristor crossbars. Nat. Electron. 1, 52–59 (2017).
Gao, L., Chen, P.-Y. & Yu, S. Demonstration of convolution kernel operation on resistive cross-point array. IEEE Electron Device Lett. 37, 870–873 (2016).
Sheridan, P. M. et al. Sparse coding with memristor networks. Nat. Nanotechnol. 12, 784–789 (2017).
Du, C. et al. Reservoir computing using dynamic memristors for temporal information processing. Nat. Commun. 8, 2204 (2017).
Choi, S., Shin, J. H., Lee, J., Sheridan, P. & Lu, W. D. Experimental demonstration of feature extraction and dimensionality reduction using memristor networks. Nano Lett. 17, 3113–3118 (2017).
Le Gallo, M. et al. Mixed-precision in-memory computing. Nat. Electron. 1, 246–253 (2018).
Burr, G. W. et al. Experimental demonstration and tolerancing of a large-scale neural network (165,000 synapses) using phase-change memory as the synaptic weight element. IEEE Trans. Electron Devices 62, 3498–3507 (2015).
Boybat, I. et al. Neuromorphic computing with multi-memristive synapses. Nat. Commun. 9, 2514 (2018).
Ambrogio, S. et al. Equivalent-accuracy accelerated neural-network training using analogue memory. Nature 558, 60–67 (2018).
Gao, B. et al. Ultra-low-energy three-dimensional oxide-based electronic synapses for implementation of robust high-accuracy neuromorphic computation systems. ACS Nano 8, 6998–7004 (2014).
Zidan, M. A. et al. A general memristor-based partial differential equation solver. Nat. Electron. 1, 411–420 (2018).
Hu, M. et al. Memristor-based analog computation and neural network classification with a dot product engine. Adv. Mater. 30, 1705914 (2018).
Xia, Q. et al. Memristor–CMOS hybrid integrated circuits for reconfigurable logic. Nano Lett. 9, 3640–3645 (2009).
Kim, K.-H. et al. A functional hybrid memristor crossbar-array/CMOS system for data storage and neuromorphic applications. Nano Lett. 12, 389–395 (2012).
Yang, J. J., Strukov, D. B. & Stewart, D. R. Memristive devices for computing. Nat. Nanotechnol. 8, 13–24 (2013).
Chen, B. et al. Efficient in-memory computing architecture based on crossbar arrays. In Proceedings of 2015 IEEE International Electron Devices Meeting (IEDM) 17.5.1–17.5.4 (IEEE, 2015).
Pershin, Y. V. & Di Ventra, M. Neuromorphic, digital and quantum computation with memory circuit elements. Proc. IEEE 100, 2071–2080 (2012).
Jeong, D. S. & Hwang, C. S. Nonvolatile memory materials for neuromorphic intelligent machines. Adv. Mater. 30, 1704729 (2018).
Olshausen, B. A. & Field, D. J. Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature 381, 607–609 (1996).
Olshausen, B. A. & Field, D. J. Sparse coding with an overcomplete basis set: a strategy employed by V1? Vis. Res. 37, 3311–3325 (1997).
Sheridan, P. M., Du, C. & Lu, W. D. Feature extraction using memristor network. IEEE Trans. Neural Netw. Learn. Syst. 27, 2327–2336 (2016).
Rozell, C. J., Johnson, D. H., Baraniuk, R. G. & Olshausen, B. A. Sparse coding via thresholding and local competition in neural circuits. Neural Comput. 20, 2526–2563 (2008).
Lever, J., Krzywinski, M. & Altman, N. Points of significance: principal component analysis. Nat. Methods 14, 641–642 (2017).
Masters, D. & Luschi, C. Revisiting small batch training for deep neural networks. Preprint at https://arxiv.org/abs/1804.07612 (2018).
Keskar, N. S., Mudigere, D., Nocedal, J., Smelyanskiy, M. & Tang, P. T. P. On large-batch training for deep learning: generalization gap and sharp minima. Preprint at https://arxiv.org/abs/1609.04836 (2016).
Chen, P.-Y., Peng, X. & Yu, S. NeuroSim: a circuit-level macro model for benchmarking neuro-inspired architectures in online learning. IEEE Trans. Comput. Des. Integr. Circuits Syst. 37, 3067–3080 (2018).
Choi, S. et al. SiGe epitaxial memory for neuromorphic computing with reproducible high performance based on engineered dislocations. Nat. Mater. 17, 335–340 (2018).
Zidan, M. A. et al. Field-programmable crossbar array (FPCA) for reconfigurable computing. IEEE Trans. Multi-scale Comput. Syst. 4, 698–710 (2017).
Mikhailenko, D., Liyanagedera, C., James, A. P. & Roy, K. M2CA: modular memristive crossbar arrays. In Proceedings of 2018 IEEE International Symposium on Circuits and Systems (ISCAS) 1–5 (IEEE, 2018).
Xu, X. et al. Scaling for edge inference of deep neural networks. Nat. Electron. 1, 216–222 (2018).
Shafiee, A. et al. ISAAC: a convolutional neural network accelerator with in-situ analog arithmetic in crossbars. In Proceedings of 43rd International Symposium on Computer Architecture 14–26 (IEEE, 2016).
Gokmen, T. & Vlasov, Y. Acceleration of deep neural network training with resistive cross-point devices: design considerations. Front. Neurosci. 10, 33 (2016).
Hubara, I., Courbariaux, M., Soudry, D., El-Yaniv, R. & Bengio, Y. Quantized neural networks: training neural networks with low precision weights and activations. Preprint at https://arxiv.org/abs/1609.07061 (2016).
Jacob, B. et al. Quantization and training of neural networks for efficient integer-arithmetic-only inference. Preprint at https://arxiv.org/abs/1712.05877 (2017)
Bishop, C. M. Pattern Recognition and Machine Learning Vol. 4 (Springer, 2006).
Mangasarian, O. L., Street, W. N. & Wolberg, W. H. Breast cancer diagnosis and prognosis via linear programming. Oper. Res. 43, 570–577 (1995).
Dheeru, D. & Karra Taniskidou, E. Machine Learning Repository (Univ. California–Irvine, 2017).
The authors acknowledge inspiring discussions with C. Liu, T. Chou, P. Brown, M.A. Zidan and P.M. Sheridan. This work was supported in part by the Defense Advanced Research Projects Agency (DARPA) through award HR0011-13-2-0015, the National Science Foundation (NSF) through awards CCF-1617315 and 1734871, and the Applications Driving Architectures (ADA) Research Centre, a JUMP Centre co-sponsored by SRC and DARPA.
The authors declare no competing interests.
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Cai, F., Correll, J.M., Lee, S.H. et al. A fully integrated reprogrammable memristor–CMOS system for efficient multiply–accumulate operations. Nat Electron 2, 290–299 (2019). https://doi.org/10.1038/s41928-019-0270-x
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