The DOI matches its Crossref record; 57 of the 57 references it cites were found in a registry or an index.
Experimentally realized in situ backpropagation for deep learning in photonic neural networks
Open accessAbstract
Integrated photonic neural networks provide a promising platform for energy-efficient, high-throughput machine learning with extensive scientific and commercial applications. Photonic neural networks efficiently transform optically encoded inputs using Mach-Zehnder interferometer mesh networks interleaved with nonlinearities. We experimentally trained a three-layer, four-port silicon photonic neural network with programmable phase shifters and optical power monitoring to solve classification tasks using “in situ backpropagation,” a photonic analog of the most popular method to train conventional neural networks. We measured backpropagated gradients for phase-shifter voltages by interfering forward- and backward-propagating light and simulated in situ backpropagation for 64-port photonic neural networks trained on MNIST image recognition given errors. All experiments performed comparably to digital simulations ( > 94% test accuracy), and energy scaling analysis indicated a route to scalable machine learning.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Adam: A Method for Stochastic Optimization
Kingma, D. P., & Ba, J. (2014) · arXiv · doi:10.48550/arxiv.1412.6980 · Cited by 98,946
Scikit-learn: Machine Learning in Python
Pedregosa, F., Varoquaux, G., Gramfort, A., Michel, V., Thirion, B., Grisel, O., Blondel, M., Müller, A., Nothman, J., Louppe, G., et al. (2012) · arXiv · doi:10.48550/arxiv.1201.0490 · Cited by 71,016
ImageNet: A large-scale hierarchical image database
Deng, J., Dong, W., Socher, R., Li, L.-J., Li, K., & Fei-Fei, L. (2009) · 2009 IEEE Conference on Computer Vision and Pattern Recognition · doi:10.1109/cvpr.2009.5206848 · Cited by 65,333
Learning representations by back-propagating errors
Rumelhart, D. E., Hinton, G. E., & Williams, R. J. (1986) · Nature · doi:10.1038/323533a0 · Cited by 31,892
The MNIST Database of Handwritten Digit Images for Machine Learning Research [Best of the Web]
Deng, L. (2012) · IEEE Signal Processing Magazine · doi:10.1109/msp.2012.2211477 · Cited by 4,836
Deep learning with coherent nanophotonic circuits
Shen, Y., Harris, N. C., Skirlo, S., Prabhu, M., Baehr-Jones, T., Hochberg, M., Sun, X., Zhao, S., Larochelle, H., Englund, D., et al. (2017) · Nature Photonics · doi:10.1038/nphoton.2017.93 · Cited by 3,340
Experimental realization of any discrete unitary operator
Reck, M., Zeilinger, A., Bernstein, H. J., & Bertani, P. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.58 · Cited by 2,155
1.1 Computing's energy problem (and what we can do about it)
Horowitz, M. (2014) · 2014 IEEE International Solid-State Circuits Conference Digest of Technical Papers (ISSCC) · doi:10.1109/isscc.2014.6757323 · Cited by 2,069
Phase-change materials for non-volatile photonic applications
Wuttig, M., Bhaskaran, H., & Taubner, T. (2017) · Nature Photonics · doi:10.1038/nphoton.2017.126 · Cited by 1,413
Programmable photonic circuits
Bogaerts, W., Pérez, D., Capmany, J., Miller, D. A. B., Poon, J., Englund, D., Morichetti, F., & Melloni, A. (2020) · Nature · doi:10.1038/s41586-020-2764-0 · Cited by 1,368
Self-citation
Cited by
Single chip photonic deep neural network with accelerated training
Bandyopadhyay, S., Sludds, A., Krastanov, S., Hamerly, R., Harris, N., Bunandar, D., Streshinsky, M., Hochberg, M., & Englund, D. (2022) · arXiv · doi:10.48550/arxiv.2208.01623 · Cited by 265
Integrated Electro-Optics on Thin-Film Lithium Niobate
Hu, Y., Zhu, D., Lu, S., Zhu, X., Song, Y., Renaud, D., Assumpcao, D., Cheng, R., Xin, C. J., Yeh, M., et al. (2025) · Nature Reviews Physics · doi:10.1038/s42254-025-00825-5 · Cited by 162
Gao, S., Chen, H., Wang, Y., Duan, Z., Zhang, H., Sun, Z., Shen, Y., & Lin, X. (2024) · Light: Science & Applications · doi:10.1038/s41377-024-01511-4 · Cited by 32
Self-citationPolaritonic machine learning for graph-based data analysis
Wang, Y., Scali, S., & Kyriienko, O. (2026) · Physical Review E · doi:10.1103/fgy1-n4vp
Metadata
- Authors
- Pai, S., Sun, Z., Hughes, T. W., Park, T., Bartlett, B., Williamson, I. A. D., Minkov, M., Milanizadeh, M., Abebe, N., Morichetti, F., Melloni, A., Fan, S., Solgaard, O., & Miller, D. A. B.
- Venue
- Science
- Published
- 2023-04-28
- Volume
- 380
- Issue
- 6643
- Pages
- 398-404
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W4367173722
- Cited by
- 331
- References
- 57
- FWCI
- 29.08
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Experimentally realized in situ backpropagation for deep learning in photonic neural networks. https://app.cochat.ai/papers/10.1126/science.ade8450
- The paper
- Pai, S., Sun, Z., Hughes, T. W., Park, T., Bartlett, B., Williamson, I. A. D., Minkov, M., Milanizadeh, M., Abebe, N., Morichetti, F., Melloni, A., Fan, S., Solgaard, O., & Miller, D. A. B. (2023). Experimentally realized in situ backpropagation for deep learning in photonic neural networks. Science. https://doi.org/10.1126/science.ade8450
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.