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52 Publications
2024 | Journal Article | IST-REx-ID: 15172
Concentration without independence via information measures
A.R. Esposito, M. Mondelli, IEEE Transactions on Information Theory (n.d.).
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A.R. Esposito, M. Mondelli, IEEE Transactions on Information Theory (n.d.).
2023 | Conference Paper | IST-REx-ID: 14083 |
Zero-rate thresholds and new capacity bounds for list-decoding and list-recovery
N. Resch, C. Yuan, Y. Zhang, in:, 50th International Colloquium on Automata, Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
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N. Resch, C. Yuan, Y. Zhang, in:, 50th International Colloquium on Automata, Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
2023 | Journal Article | IST-REx-ID: 13315 |
Fundamental limits in structured principal component analysis and how to reach them
J. Barbier, F. Camilli, M. Mondelli, M. Sáenz, Proceedings of the National Academy of Sciences of the United States of America 120 (2023).
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J. Barbier, F. Camilli, M. Mondelli, M. Sáenz, Proceedings of the National Academy of Sciences of the United States of America 120 (2023).
2023 | Conference Paper | IST-REx-ID: 14459 |
Fundamental limits of two-layer autoencoders, and achieving them with gradient methods
A. Shevchenko, K. Kögler, H. Hassani, M. Mondelli, in:, Proceedings of the 40th International Conference on Machine Learning, ML Research Press, 2023, pp. 31151–31209.
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A. Shevchenko, K. Kögler, H. Hassani, M. Mondelli, in:, Proceedings of the 40th International Conference on Machine Learning, ML Research Press, 2023, pp. 31151–31209.
2023 | Journal Article | IST-REx-ID: 12838 |
Multiple packing: Lower bounds via infinite constellations
Y. Zhang, S. Vatedka, IEEE Transactions on Information Theory 69 (2023) 4513–4527.
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Y. Zhang, S. Vatedka, IEEE Transactions on Information Theory 69 (2023) 4513–4527.
2023 | Conference Paper | IST-REx-ID: 13321 |
Approximate message passing for multi-layer estimation in rotationally invariant models
Y. Xu, T.Q. Hou, S.S. Liang, M. Mondelli, in:, 2023 IEEE Information Theory Workshop, Institute of Electrical and Electronics Engineers, 2023, pp. 294–298.
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Y. Xu, T.Q. Hou, S.S. Liang, M. Mondelli, in:, 2023 IEEE Information Theory Workshop, Institute of Electrical and Electronics Engineers, 2023, pp. 294–298.
2023 | Journal Article | IST-REx-ID: 14665 |
Multiple packing: Lower bounds via error exponents
Y. Zhang, S. Vatedka, IEEE Transactions on Information Theory (2023).
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Y. Zhang, S. Vatedka, IEEE Transactions on Information Theory (2023).
2023 | Journal Article | IST-REx-ID: 14751 |
Zero-error communication over adversarial MACs
Y. Zhang, IEEE Transactions on Information Theory 69 (2023) 4093–4127.
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Y. Zhang, IEEE Transactions on Information Theory 69 (2023) 4093–4127.
2023 | Journal Article | IST-REx-ID: 13269 |
Codes for the Z-channel
N. Polyanskii, Y. Zhang, IEEE Transactions on Information Theory 69 (2023) 6340–6357.
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N. Polyanskii, Y. Zhang, IEEE Transactions on Information Theory 69 (2023) 6340–6357.
2023 | Conference Paper | IST-REx-ID: 12859 |
Beyond the universal law of robustness: Sharper laws for random features and neural tangent kernels
S. Bombari, S. Kiyani, M. Mondelli, in:, Proceedings of the 40th International Conference on Machine Learning, ML Research Press, 2023, pp. 2738–2776.
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S. Bombari, S. Kiyani, M. Mondelli, in:, Proceedings of the 40th International Conference on Machine Learning, ML Research Press, 2023, pp. 2738–2776.
2023 | Conference Paper | IST-REx-ID: 14921 |
Deep neural collapse is provably optimal for the deep unconstrained features model
P. Súkeník, M. Mondelli, C. Lampert, in:, 37th Annual Conference on Neural Information Processing Systems, n.d.
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P. Súkeník, M. Mondelli, C. Lampert, in:, 37th Annual Conference on Neural Information Processing Systems, n.d.
2023 | Conference Paper | IST-REx-ID: 14924 |
Mean-field analysis for heavy ball methods: Dropout-stability, connectivity, and global convergence
D. Wu, V. Kungurtsev, M. Mondelli, in:, Transactions on Machine Learning Research, ML Research Press, 2023.
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D. Wu, V. Kungurtsev, M. Mondelli, in:, Transactions on Machine Learning Research, ML Research Press, 2023.
2023 | Conference Paper | IST-REx-ID: 14923 |
Mismatched estimation of non-symmetric rank-one matrices corrupted by structured noise
T. Fu, Y. Liu, J. Barbier, M. Mondelli, S. Liang, T. Hou, in:, Proceedings of 2023 IEEE International Symposium on Information Theory, IEEE, n.d.
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T. Fu, Y. Liu, J. Barbier, M. Mondelli, S. Liang, T. Hou, in:, Proceedings of 2023 IEEE International Symposium on Information Theory, IEEE, n.d.
2023 | Conference Paper | IST-REx-ID: 14922 |
Concentration without independence via information measures
A.R. Esposito, M. Mondelli, in:, Proceedings of 2023 IEEE International Symposium on Information Theory, IEEE, 2023, pp. 400–405.
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A.R. Esposito, M. Mondelli, in:, Proceedings of 2023 IEEE International Symposium on Information Theory, IEEE, 2023, pp. 400–405.
2022 | Journal Article | IST-REx-ID: 11420 |
Mean-field analysis of piecewise linear solutions for wide ReLU networks
A. Shevchenko, V. Kungurtsev, M. Mondelli, Journal of Machine Learning Research 23 (2022) 1–55.
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A. Shevchenko, V. Kungurtsev, M. Mondelli, Journal of Machine Learning Research 23 (2022) 1–55.
2022 | Conference Paper | IST-REx-ID: 12011 |
The capacity of causal adversarial channels
Y. Zhang, S. Jaggi, M. Langberg, A.D. Sarwate, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 2523–2528.
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Y. Zhang, S. Jaggi, M. Langberg, A.D. Sarwate, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 2523–2528.
2022 | Conference Paper | IST-REx-ID: 12017
New results on AVCs with omniscient and myopic adversaries
A.K. Yadav, M. Alimohammadi, Y. Zhang, A.J. Budkuley, S. Jaggi, in:, 2022 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers, 2022, pp. 2535–2540.
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A.K. Yadav, M. Alimohammadi, Y. Zhang, A.J. Budkuley, S. Jaggi, in:, 2022 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers, 2022, pp. 2535–2540.
2022 | Conference Paper | IST-REx-ID: 12013
On the capacity of additive AVCs with feedback
P. Joshi, A. Purkayastha, Y. Zhang, A.J. Budkuley, S. Jaggi, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 504–509.
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P. Joshi, A. Purkayastha, Y. Zhang, A.J. Budkuley, S. Jaggi, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 504–509.
2022 | Conference Paper | IST-REx-ID: 12016 |
Polar coded computing: The role of the scaling exponent
D. Fathollahi, M. Mondelli, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 2154–2159.
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D. Fathollahi, M. Mondelli, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 2154–2159.
2022 | Conference Paper | IST-REx-ID: 12012 |
Heterogeneous differential privacy via graphs
S. Torkamani, J.B. Ebrahimi, P. Sadeghi, R.G.L. D’Oliveira, M. Médard, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 1623–1628.
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S. Torkamani, J.B. Ebrahimi, P. Sadeghi, R.G.L. D’Oliveira, M. Médard, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 1623–1628.
2022 | Conference Paper | IST-REx-ID: 12018
Lower bounds on list decoding capacity using error exponents
Y. Zhang, S. Vatedka, in:, 2022 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers, 2022, pp. 1324–1329.
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Y. Zhang, S. Vatedka, in:, 2022 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers, 2022, pp. 1324–1329.
2022 | Conference Paper | IST-REx-ID: 12015
Lower bounds for multiple packing
Y. Zhang, S. Vatedka, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 3085–3090.
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Y. Zhang, S. Vatedka, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 3085–3090.
2022 | Conference Paper | IST-REx-ID: 12014
List-decodability of Poisson Point Processes
Y. Zhang, S. Vatedka, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 2559–2564.
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Y. Zhang, S. Vatedka, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 2559–2564.
2022 | Conference Paper | IST-REx-ID: 12019
List-decodable zero-rate codes for the Z-channel
N. Polyanskii, Y. Zhang, in:, 2022 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers, 2022, pp. 2553–2558.
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N. Polyanskii, Y. Zhang, in:, 2022 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers, 2022, pp. 2553–2558.
2022 | Conference Paper | IST-REx-ID: 12540 |
Estimation in rotationally invariant generalized linear models via approximate message passing
R. Venkataramanan, K. Kögler, M. Mondelli, in:, Proceedings of the 39th International Conference on Machine Learning, ML Research Press, 2022.
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R. Venkataramanan, K. Kögler, M. Mondelli, in:, Proceedings of the 39th International Conference on Machine Learning, ML Research Press, 2022.
2022 | Preprint | IST-REx-ID: 12536 |
The price of ignorance: How much does it cost to forget noise structure in low-rank matrix estimation?
J. Barbier, T. Hou, M. Mondelli, M. Saenz, ArXiv (n.d.).
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J. Barbier, T. Hou, M. Mondelli, M. Saenz, ArXiv (n.d.).
2022 | Preprint | IST-REx-ID: 12860 |
Towards differential relational privacy and its use in question answering
S. Bombari, A. Achille, Z. Wang, Y.-X. Wang, Y. Xie, K.Y. Singh, S. Appalaraju, V. Mahadevan, S. Soatto, ArXiv (n.d.).
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S. Bombari, A. Achille, Z. Wang, Y.-X. Wang, Y. Xie, K.Y. Singh, S. Appalaraju, V. Mahadevan, S. Soatto, ArXiv (n.d.).
2022 | Journal Article | IST-REx-ID: 11639 |
List decoding random Euclidean codes and Infinite constellations
Y. Zhang, S. Vatedka, IEEE Transactions on Information Theory 68 (2022) 7753–7786.
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Y. Zhang, S. Vatedka, IEEE Transactions on Information Theory 68 (2022) 7753–7786.
2022 | Journal Article | IST-REx-ID: 12233 |
Decoding Reed-Muller codes with successive codeword permutations
N. Doan, S.A. Hashemi, M. Mondelli, W.J. Gross, IEEE Transactions on Communications 70 (2022) 7134–7145.
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N. Doan, S.A. Hashemi, M. Mondelli, W.J. Gross, IEEE Transactions on Communications 70 (2022) 7134–7145.
2022 | Journal Article | IST-REx-ID: 12273 |
Quadratically constrained myopic adversarial channels
Y. Zhang, S. Vatedka, S. Jaggi, A.D. Sarwate, IEEE Transactions on Information Theory 68 (2022) 4901–4948.
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Y. Zhang, S. Vatedka, S. Jaggi, A.D. Sarwate, IEEE Transactions on Information Theory 68 (2022) 4901–4948.
2022 | Journal Article | IST-REx-ID: 10364 |
Parallelism versus latency in simplified successive-cancellation decoding of polar codes
S.A. Hashemi, M. Mondelli, A. Fazeli, A. Vardy, J. Cioffi, A. Goldsmith, IEEE Transactions on Wireless Communications 21 (2022) 3909–3920.
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S.A. Hashemi, M. Mondelli, A. Fazeli, A. Vardy, J. Cioffi, A. Goldsmith, IEEE Transactions on Wireless Communications 21 (2022) 3909–3920.
2022 | Journal Article | IST-REx-ID: 12538 |
Sharp asymptotics on the compression of two-layer neural networks
M.H. Amani, S. Bombari, M. Mondelli, R. Pukdee, S. Rini, IEEE Information Theory Workshop (2022) 588–593.
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M.H. Amani, S. Bombari, M. Mondelli, R. Pukdee, S. Rini, IEEE Information Theory Workshop (2022) 588–593.
2022 | Conference Paper | IST-REx-ID: 12537 |
Memorization and optimization in deep neural networks with minimum over-parameterization
S. Bombari, M.H. Amani, M. Mondelli, in:, 36th Conference on Neural Information Processing Systems, Curran Associates, 2022, pp. 7628–7640.
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S. Bombari, M.H. Amani, M. Mondelli, in:, 36th Conference on Neural Information Processing Systems, Curran Associates, 2022, pp. 7628–7640.
2022 | Journal Article | IST-REx-ID: 12480 |
Approximate message passing with spectral initialization for generalized linear models
M. Mondelli, R. Venkataramanan, Journal of Statistical Mechanics: Theory and Experiment 2022 (2022).
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M. Mondelli, R. Venkataramanan, Journal of Statistical Mechanics: Theory and Experiment 2022 (2022).
2021 | Conference Paper | IST-REx-ID: 10595 |
Tight bounds on the smallest eigenvalue of the neural tangent kernel for deep ReLU networks
Q. Nguyen, M. Mondelli, G.F. Montufar, in:, M. Meila, T. Zhang (Eds.), Proceedings of the 38th International Conference on Machine Learning, ML Research Press, 2021, pp. 8119–8129.
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Q. Nguyen, M. Mondelli, G.F. Montufar, in:, M. Meila, T. Zhang (Eds.), Proceedings of the 38th International Conference on Machine Learning, ML Research Press, 2021, pp. 8119–8129.
2021 | Conference Paper | IST-REx-ID: 10599 |
Successive syndrome-check decoding of polar codes
S.A. Hashemi, M. Mondelli, J. Cioffi, A. Goldsmith, in:, Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers, Institute of Electrical and Electronics Engineers, 2021, pp. 943–947.
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S.A. Hashemi, M. Mondelli, J. Cioffi, A. Goldsmith, in:, Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers, Institute of Electrical and Electronics Engineers, 2021, pp. 943–947.
2021 | Conference Paper | IST-REx-ID: 13146 |
Tight bounds on the smallest Eigenvalue of the neural tangent kernel for deep ReLU networks
Q. Nguyen, M. Mondelli, G. Montufar, in:, Proceedings of the 38th International Conference on Machine Learning, ML Research Press, 2021, pp. 8119–8129.
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Q. Nguyen, M. Mondelli, G. Montufar, in:, Proceedings of the 38th International Conference on Machine Learning, ML Research Press, 2021, pp. 8119–8129.
2021 | Journal Article | IST-REx-ID: 9047 |
Sublinear latency for simplified successive cancellation decoding of polar codes
M. Mondelli, S.A. Hashemi, J.M. Cioffi, A. Goldsmith, IEEE Transactions on Wireless Communications 20 (2021) 18–27.
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M. Mondelli, S.A. Hashemi, J.M. Cioffi, A. Goldsmith, IEEE Transactions on Wireless Communications 20 (2021) 18–27.
2021 | Conference Paper | IST-REx-ID: 10053 |
Parallelism versus latency in simplified successive-cancellation decoding of polar codes
S.A. Hashemi, M. Mondelli, A. Fazeli, A. Vardy, J. Cioffi, A. Goldsmith, in:, 2021 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers, 2021, pp. 2369–2374.
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S.A. Hashemi, M. Mondelli, A. Fazeli, A. Vardy, J. Cioffi, A. Goldsmith, in:, 2021 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers, 2021, pp. 2369–2374.
2021 | Conference Paper | IST-REx-ID: 10597 |
Sparse multi-decoder recursive projection aggregation for Reed-Muller codes
D. Fathollahi, N. Farsad, S.A. Hashemi, M. Mondelli, in:, 2021 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers, 2021, pp. 1082–1087.
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D. Fathollahi, N. Farsad, S.A. Hashemi, M. Mondelli, in:, 2021 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers, 2021, pp. 1082–1087.
2021 | Journal Article | IST-REx-ID: 10211 |
Optimal combination of linear and spectral estimators for generalized linear models
M. Mondelli, C. Thrampoulidis, R. Venkataramanan, Foundations of Computational Mathematics (2021).
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M. Mondelli, C. Thrampoulidis, R. Venkataramanan, Foundations of Computational Mathematics (2021).
2021 | Conference Paper | IST-REx-ID: 10593 |
PCA initialization for approximate message passing in rotationally invariant models
M. Mondelli, R. Venkataramanan, in:, 35th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2021, pp. 29616–29629.
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M. Mondelli, R. Venkataramanan, in:, 35th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2021, pp. 29616–29629.
2021 | Conference Paper | IST-REx-ID: 10594 |
When are solutions connected in deep networks?
Q. Nguyen, P. Bréchet, M. Mondelli, in:, 35th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2021.
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Q. Nguyen, P. Bréchet, M. Mondelli, in:, 35th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2021.
2021 | Conference Paper | IST-REx-ID: 10598 |
Approximate message passing with spectral initialization for generalized linear models
M. Mondelli, R. Venkataramanan, in:, A. Banerjee, K. Fukumizu (Eds.), Proceedings of The 24th International Conference on Artificial Intelligence and Statistics, ML Research Press, 2021, pp. 397–405.
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M. Mondelli, R. Venkataramanan, in:, A. Banerjee, K. Fukumizu (Eds.), Proceedings of The 24th International Conference on Artificial Intelligence and Statistics, ML Research Press, 2021, pp. 397–405.
2021 | Journal Article | IST-REx-ID: 9002
Binary linear codes with optimal scaling: Polar codes with large kernels
A. Fazeli, H. Hassani, M. Mondelli, A. Vardy, IEEE Transactions on Information Theory 67 (2021) 5693–5710.
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A. Fazeli, H. Hassani, M. Mondelli, A. Vardy, IEEE Transactions on Information Theory 67 (2021) 5693–5710.
2021 | Journal Article | IST-REx-ID: 15254 |
Network coding with myopic adversaries
S. Li, R. Bitar, S. Jaggi, Y. Zhang, IEEE Journal on Selected Areas in Information Theory 2 (2021) 1108–1119.
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S. Li, R. Bitar, S. Jaggi, Y. Zhang, IEEE Journal on Selected Areas in Information Theory 2 (2021) 1108–1119.
2020 | Conference Paper | IST-REx-ID: 9221 |
Global convergence of deep networks with one wide layer followed by pyramidal topology
Q. Nguyen, M. Mondelli, in:, 34th Conference on Neural Information Processing Systems, Curran Associates, 2020, pp. 11961–11972.
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Q. Nguyen, M. Mondelli, in:, 34th Conference on Neural Information Processing Systems, Curran Associates, 2020, pp. 11961–11972.
2020 | Conference Paper | IST-REx-ID: 8536 |
Simplified successive cancellation decoding of polar codes has sublinear latency
M. Mondelli, S.A. Hashemi, J. Cioffi, A. Goldsmith, in:, IEEE International Symposium on Information Theory - Proceedings, IEEE, 2020.
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M. Mondelli, S.A. Hashemi, J. Cioffi, A. Goldsmith, in:, IEEE International Symposium on Information Theory - Proceedings, IEEE, 2020.
2020 | Conference Paper | IST-REx-ID: 9198 |
Landscape connectivity and dropout stability of SGD solutions for over-parameterized neural networks
A. Shevchenko, M. Mondelli, in:, Proceedings of the 37th International Conference on Machine Learning, ML Research Press, 2020, pp. 8773–8784.
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A. Shevchenko, M. Mondelli, in:, Proceedings of the 37th International Conference on Machine Learning, ML Research Press, 2020, pp. 8773–8784.
2020 | Journal Article | IST-REx-ID: 6748 |
Analysis of a two-layer neural network via displacement convexity
A. Javanmard, M. Mondelli, A. Montanari, Annals of Statistics 48 (2020) 3619–3642.
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A. Javanmard, M. Mondelli, A. Montanari, Annals of Statistics 48 (2020) 3619–3642.