Marco Mondelli
Mondelli Group
51 Publications
2023 | Preprint | 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, ArXiv (n.d.).
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S. Bombari, S. Kiyani, M. Mondelli, ArXiv (n.d.).
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: 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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| arXiv
A. Shevchenko, V. Kungurtsev, M. Mondelli, Journal of Machine Learning Research 23 (2022) 1–55.
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 | 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: 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).
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: 12538 |
Sharp asymptotics on the compression of two-layer neural networks
M.H. Amani, S. Bombari, M. Mondelli, R. Pukdee, S. Rini, ArXiv (n.d.).
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M.H. Amani, S. Bombari, M. Mondelli, R. Pukdee, S. Rini, ArXiv (n.d.).
2022 | Preprint | IST-REx-ID: 12537 |
Memorization and optimization in deep neural networks with minimum over-parameterization
S. Bombari, M.H. Amani, M. Mondelli, ArXiv (n.d.).
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S. Bombari, M.H. Amani, M. Mondelli, ArXiv (n.d.).
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: 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: 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: 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 | 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: 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: 10593 |
PCA initialization for approximate message passing in rotationally invariant models
M. Mondelli, R. Venkataramanan, in:, 35th Conference on Neural Information Processing Systems, NeurIPS, 2021, pp. 29616–29629.
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M. Mondelli, R. Venkataramanan, in:, 35th Conference on Neural Information Processing Systems, NeurIPS, 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, NeurIPS, 2021.
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Q. Nguyen, P. Bréchet, M. Mondelli, in:, 35th Conference on Neural Information Processing Systems, NeurIPS, 2021.
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.
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, Proceedings of Machine Learning Research, 2020, pp. 8773–8784.
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A. Shevchenko, M. Mondelli, in:, Proceedings of the 37th International Conference on Machine Learning, Proceedings of Machine Learning Research, 2020, pp. 8773–8784.
2020 | 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 (2020) 5693–5710.
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A. Fazeli, H. Hassani, M. Mondelli, A. Vardy, IEEE Transactions on Information Theory 67 (2020) 5693–5710.
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.
2019 | Journal Article | IST-REx-ID: 6662 |
Fundamental limits of weak recovery with applications to phase retrieval
M. Mondelli, A. Montanari, Foundations of Computational Mathematics 19 (2019) 703–773.
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M. Mondelli, A. Montanari, Foundations of Computational Mathematics 19 (2019) 703–773.
2019 | Journal Article | IST-REx-ID: 6663 |
Construction of polar codes with sublinear complexity
M. Mondelli, H. Hassani, R. Urbanke, IEEE 65 (2019) 2782–2791.
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M. Mondelli, H. Hassani, R. Urbanke, IEEE 65 (2019) 2782–2791.
2019 | Conference Paper | IST-REx-ID: 6747 |
On the connection between learning two-layers neural networks and tensor decomposition
M. Mondelli, A. Montanari, in:, Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics, Proceedings of Machine Learning Research, 2019, pp. 1051–1060.
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M. Mondelli, A. Montanari, in:, Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics, Proceedings of Machine Learning Research, 2019, pp. 1051–1060.
2019 | Journal Article | IST-REx-ID: 6750 |
Rate-flexible fast polar decoders
S.A. Hashemi, C. Condo, M. Mondelli, W.J. Gross, IEEE Transactions on Signal Processing 67 (2019).
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S.A. Hashemi, C. Condo, M. Mondelli, W.J. Gross, IEEE Transactions on Signal Processing 67 (2019).
2019 | Journal Article | IST-REx-ID: 7007 |
A new coding paradigm for the primitive relay channel
M. Mondelli, S.H. Hassani, R. Urbanke, Algorithms 12 (2019).
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M. Mondelli, S.H. Hassani, R. Urbanke, Algorithms 12 (2019).
2018 | Conference Paper | IST-REx-ID: 6664 |
Decoding Reed-Muller and polar codes by successive factor graph permutations
S.A. Hashemi, N. Doan, M. Mondelli, W. Gross, in:, 2018 IEEE 10th International Symposium on Turbo Codes & Iterative Information Processing, IEEE, 2018, pp. 1–5.
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S.A. Hashemi, N. Doan, M. Mondelli, W. Gross, in:, 2018 IEEE 10th International Symposium on Turbo Codes & Iterative Information Processing, IEEE, 2018, pp. 1–5.
2018 | Journal Article | IST-REx-ID: 6674
Decoder partitioning: Towards practical list decoding of polar codes
S.A. Hashemi, M. Mondelli, S.H. Hassani, C. Condo, R.L. Urbanke, W.J. Gross, IEEE Transactions on Communications 66 (2018) 3749–3759.
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S.A. Hashemi, M. Mondelli, S.H. Hassani, C. Condo, R.L. Urbanke, W.J. Gross, IEEE Transactions on Communications 66 (2018) 3749–3759.
2018 | Conference Paper | IST-REx-ID: 6728 |
On the decoding of polar codes on permuted factor graphs
N. Doan, S.A. Hashemi, M. Mondelli, W.J. Gross, in:, 2018 IEEE Global Communications Conference , IEEE, 2018.
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N. Doan, S.A. Hashemi, M. Mondelli, W.J. Gross, in:, 2018 IEEE Global Communications Conference , IEEE, 2018.
2018 | Journal Article | IST-REx-ID: 6678 |
How to achieve the capacity of asymmetric channels
M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Information Theory 64 (2018) 3371–3393.
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M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Information Theory 64 (2018) 3371–3393.
2018 | Conference Paper | IST-REx-ID: 6675 |
A new coding paradigm for the primitive relay channel
M. Mondelli, H. Hassani, R. Urbanke, in:, 2018 IEEE International Symposium on Information Theory, IEEE, 2018, pp. 351–355.
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M. Mondelli, H. Hassani, R. Urbanke, in:, 2018 IEEE International Symposium on Information Theory, IEEE, 2018, pp. 351–355.
2018 | Conference Paper | IST-REx-ID: 6665 |
Binary linear codes with optimal scaling: Polar codes with large kernels
A. Fazeli, H. Hassani, M. Mondelli, A. Vardy, in:, 2018 IEEE Information Theory Workshop, IEEE, 2018, pp. 1–5.
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A. Fazeli, H. Hassani, M. Mondelli, A. Vardy, in:, 2018 IEEE Information Theory Workshop, IEEE, 2018, pp. 1–5.
2017 | Conference Paper | IST-REx-ID: 6679 |
Partitioned list decoding of polar codes: Analysis and improvement of finite length performance
S.A. Hashemi, M. Mondelli, H. Hassani, R. Urbanke, W. Gross, in:, 2017 IEEE Global Communications Conference, IEEE, 2017, pp. 1–7.
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S.A. Hashemi, M. Mondelli, H. Hassani, R. Urbanke, W. Gross, in:, 2017 IEEE Global Communications Conference, IEEE, 2017, pp. 1–7.
2017 | Conference Paper | IST-REx-ID: 6729 |
Construction of polar codes with sublinear complexity
M. Mondelli, S.H. Hassani, R. Urbanke, in:, 2017 IEEE International Symposium on Information Theory , IEEE, 2017, pp. 1853–1857.
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M. Mondelli, S.H. Hassani, R. Urbanke, in:, 2017 IEEE International Symposium on Information Theory , IEEE, 2017, pp. 1853–1857.
2017 | Journal Article | IST-REx-ID: 6730 |
Reed–Muller codes achieve capacity on erasure channels
S. Kudekar, S. Kumar, M. Mondelli, H.D. Pfister, E. Sasoglu, R.L. Urbanke, IEEE Transactions on Information Theory 63 (2017) 4298–4316.
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S. Kudekar, S. Kumar, M. Mondelli, H.D. Pfister, E. Sasoglu, R.L. Urbanke, IEEE Transactions on Information Theory 63 (2017) 4298–4316.
2017 | Conference Paper | IST-REx-ID: 6731 |
Capacity-achieving rate-compatible polar codes for general channels
M. Mondelli, H. Hassani, I. Maric, D. Hui, S.-N. Hong, in:, 2017 IEEE Wireless Communications and Networking Conference Workshops , IEEE, 2017.
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M. Mondelli, H. Hassani, I. Maric, D. Hui, S.-N. Hong, in:, 2017 IEEE Wireless Communications and Networking Conference Workshops , IEEE, 2017.
2016 | Journal Article | IST-REx-ID: 6732 |
Unified scaling of polar codes: Error exponent, scaling exponent, moderate deviations, and error floors
M. Mondelli, S.H. Hassani, R.L. Urbanke, IEEE Transactions on Information Theory 62 (2016) 6698–6712.
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M. Mondelli, S.H. Hassani, R.L. Urbanke, IEEE Transactions on Information Theory 62 (2016) 6698–6712.
2016 | Conference Paper | IST-REx-ID: 6733 |
Comparing the bit-MAP and block-MAP decoding thresholds of Reed-Muller codes on BMS channels
S. Kudekar, S. Kumar, M. Mondelli, H.D. Pfister, R. Urbankez, in:, 2016 IEEE International Symposium on Information Theory , IEEE, 2016, pp. 1755–1759.
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S. Kudekar, S. Kumar, M. Mondelli, H.D. Pfister, R. Urbankez, in:, 2016 IEEE International Symposium on Information Theory , IEEE, 2016, pp. 1755–1759.
2016 | Conference Paper | IST-REx-ID: 6770
Reed-Muller codes: Thresholds and weight distribution
M. Mondelli, S. Kudekar, S. Kumar, H.D. Pfister, E. Şaşoğlu, R. Urbanke, in:, 24th International Zurich Seminar on Communications, ETH Zürich, 2016, p. 50.
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M. Mondelli, S. Kudekar, S. Kumar, H.D. Pfister, E. Şaşoğlu, R. Urbanke, in:, 24th International Zurich Seminar on Communications, ETH Zürich, 2016, p. 50.
2015 | Journal Article | IST-REx-ID: 6737 |
Achieving Marton’s region for broadcast channels using polar codes
M. Mondelli, H. Hassani, I. Sason, R. Urbanke, IEEE Transactions on Information Theory 61 (2015) 783–800.
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M. Mondelli, H. Hassani, I. Sason, R. Urbanke, IEEE Transactions on Information Theory 61 (2015) 783–800.
2015 | Journal Article | IST-REx-ID: 6736 |
Scaling exponent of list decoders with applications to polar codes
M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Information Theory 61 (2015) 4838–4851.
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M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Information Theory 61 (2015) 4838–4851.
2014 | Conference Paper | IST-REx-ID: 6740 |
How to achieve the capacity of asymmetric channels
M. Mondelli, R. Urbanke, H. Hassani, in:, 52nd Annual Allerton Conference on Communication, Control, and Computing, IEEE, 2014, pp. 789–796.
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M. Mondelli, R. Urbanke, H. Hassani, in:, 52nd Annual Allerton Conference on Communication, Control, and Computing, IEEE, 2014, pp. 789–796.
2014 | Journal Article | IST-REx-ID: 6739 |
From polar to Reed-Muller codes: A technique to improve the finite-length performance
M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Communications 62 (2014) 3084–3091.
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M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Communications 62 (2014) 3084–3091.
2014 | Journal Article | IST-REx-ID: 6744
Joint power allocation and path selection for multi-hop noncoherent decode and forward UWB communications
M. Mondelli, Q. Zhou, V. Lottici, X. Ma, IEEE Transactions on Wireless Communications 13 (2014) 1397–1409.
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M. Mondelli, Q. Zhou, V. Lottici, X. Ma, IEEE Transactions on Wireless Communications 13 (2014) 1397–1409.
2013 | Journal Article | IST-REx-ID: 6768 |
A finite difference scheme for the stack filter simulating the MCM
M. Mondelli, Image Processing On Line 3 (2013) 68–111.
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M. Mondelli, Image Processing On Line 3 (2013) 68–111.
2012 | Conference Paper | IST-REx-ID: 6746
A cooperative approach for amplify-and-forward differential transmitted reference IR-UWB relay systems
M. Mondelli, Q. Zhou, X. Ma, V. Lottici, in:, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2012, pp. 2905–2908.
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M. Mondelli, Q. Zhou, X. Ma, V. Lottici, in:, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2012, pp. 2905–2908.
2011 | Journal Article | IST-REx-ID: 6749 |
Finite difference schemes for MCM and AMSS
M. Mondelli, A. Ciomaga, Image Processing On Line 1 (2011) 127–177.
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M. Mondelli, A. Ciomaga, Image Processing On Line 1 (2011) 127–177.
2011 | Conference Paper | IST-REx-ID: 6767
On finite difference schemes for curvature motions
M. Mondelli, A. Ciomaga, in:, Proceedings of the International Student Conference on Pure and Applied Mathematics, Editura Universitãtii „Alexandru Ioan Cuza” Iasi, 2011, pp. 137–156.
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M. Mondelli, A. Ciomaga, in:, Proceedings of the International Student Conference on Pure and Applied Mathematics, Editura Universitãtii „Alexandru Ioan Cuza” Iasi, 2011, pp. 137–156.
51 Publications
2023 | Preprint | 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, ArXiv (n.d.).
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| DOI
| Download Preprint (ext.)
| arXiv
S. Bombari, S. Kiyani, M. Mondelli, ArXiv (n.d.).
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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| Files available
| DOI
| Download Preprint (ext.)
| arXiv
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: 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.
View
| Files available
| arXiv
A. Shevchenko, V. Kungurtsev, M. Mondelli, Journal of Machine Learning Research 23 (2022) 1–55.
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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| DOI
| Download Preprint (ext.)
| arXiv
D. Fathollahi, M. Mondelli, in:, 2022 IEEE International Symposium on Information Theory, IEEE, 2022, pp. 2154–2159.
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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| DOI
| Download Preprint (ext.)
| arXiv
N. Doan, S.A. Hashemi, M. Mondelli, W.J. Gross, IEEE Transactions on Communications 70 (2022) 7134–7145.
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).
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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| Download Preprint (ext.)
| arXiv
J. Barbier, T. Hou, M. Mondelli, M. Saenz, ArXiv (n.d.).
2022 | Preprint | 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, ArXiv (n.d.).
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M.H. Amani, S. Bombari, M. Mondelli, R. Pukdee, S. Rini, ArXiv (n.d.).
2022 | Preprint | IST-REx-ID: 12537 |
Memorization and optimization in deep neural networks with minimum over-parameterization
S. Bombari, M.H. Amani, M. Mondelli, ArXiv (n.d.).
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| arXiv
S. Bombari, M.H. Amani, M. Mondelli, ArXiv (n.d.).
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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| arXiv
M. Mondelli, C. Thrampoulidis, R. Venkataramanan, Foundations of Computational Mathematics (2021).
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: 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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| arXiv
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: 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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| arXiv
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 | 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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| arXiv
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: 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: 10593 |
PCA initialization for approximate message passing in rotationally invariant models
M. Mondelli, R. Venkataramanan, in:, 35th Conference on Neural Information Processing Systems, NeurIPS, 2021, pp. 29616–29629.
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| arXiv
M. Mondelli, R. Venkataramanan, in:, 35th Conference on Neural Information Processing Systems, NeurIPS, 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, NeurIPS, 2021.
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| arXiv
Q. Nguyen, P. Bréchet, M. Mondelli, in:, 35th Conference on Neural Information Processing Systems, NeurIPS, 2021.
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.
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, Proceedings of Machine Learning Research, 2020, pp. 8773–8784.
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A. Shevchenko, M. Mondelli, in:, Proceedings of the 37th International Conference on Machine Learning, Proceedings of Machine Learning Research, 2020, pp. 8773–8784.
2020 | 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 (2020) 5693–5710.
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| arXiv
A. Fazeli, H. Hassani, M. Mondelli, A. Vardy, IEEE Transactions on Information Theory 67 (2020) 5693–5710.
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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| arXiv
Q. Nguyen, M. Mondelli, in:, 34th Conference on Neural Information Processing Systems, Curran Associates, 2020, pp. 11961–11972.
2019 | Journal Article | IST-REx-ID: 6662 |
Fundamental limits of weak recovery with applications to phase retrieval
M. Mondelli, A. Montanari, Foundations of Computational Mathematics 19 (2019) 703–773.
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M. Mondelli, A. Montanari, Foundations of Computational Mathematics 19 (2019) 703–773.
2019 | Journal Article | IST-REx-ID: 6663 |
Construction of polar codes with sublinear complexity
M. Mondelli, H. Hassani, R. Urbanke, IEEE 65 (2019) 2782–2791.
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M. Mondelli, H. Hassani, R. Urbanke, IEEE 65 (2019) 2782–2791.
2019 | Conference Paper | IST-REx-ID: 6747 |
On the connection between learning two-layers neural networks and tensor decomposition
M. Mondelli, A. Montanari, in:, Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics, Proceedings of Machine Learning Research, 2019, pp. 1051–1060.
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| arXiv
M. Mondelli, A. Montanari, in:, Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics, Proceedings of Machine Learning Research, 2019, pp. 1051–1060.
2019 | Journal Article | IST-REx-ID: 6750 |
Rate-flexible fast polar decoders
S.A. Hashemi, C. Condo, M. Mondelli, W.J. Gross, IEEE Transactions on Signal Processing 67 (2019).
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| arXiv
S.A. Hashemi, C. Condo, M. Mondelli, W.J. Gross, IEEE Transactions on Signal Processing 67 (2019).
2019 | Journal Article | IST-REx-ID: 7007 |
A new coding paradigm for the primitive relay channel
M. Mondelli, S.H. Hassani, R. Urbanke, Algorithms 12 (2019).
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| arXiv
M. Mondelli, S.H. Hassani, R. Urbanke, Algorithms 12 (2019).
2018 | Conference Paper | IST-REx-ID: 6664 |
Decoding Reed-Muller and polar codes by successive factor graph permutations
S.A. Hashemi, N. Doan, M. Mondelli, W. Gross, in:, 2018 IEEE 10th International Symposium on Turbo Codes & Iterative Information Processing, IEEE, 2018, pp. 1–5.
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| arXiv
S.A. Hashemi, N. Doan, M. Mondelli, W. Gross, in:, 2018 IEEE 10th International Symposium on Turbo Codes & Iterative Information Processing, IEEE, 2018, pp. 1–5.
2018 | Journal Article | IST-REx-ID: 6674
Decoder partitioning: Towards practical list decoding of polar codes
S.A. Hashemi, M. Mondelli, S.H. Hassani, C. Condo, R.L. Urbanke, W.J. Gross, IEEE Transactions on Communications 66 (2018) 3749–3759.
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S.A. Hashemi, M. Mondelli, S.H. Hassani, C. Condo, R.L. Urbanke, W.J. Gross, IEEE Transactions on Communications 66 (2018) 3749–3759.
2018 | Conference Paper | IST-REx-ID: 6728 |
On the decoding of polar codes on permuted factor graphs
N. Doan, S.A. Hashemi, M. Mondelli, W.J. Gross, in:, 2018 IEEE Global Communications Conference , IEEE, 2018.
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N. Doan, S.A. Hashemi, M. Mondelli, W.J. Gross, in:, 2018 IEEE Global Communications Conference , IEEE, 2018.
2018 | Journal Article | IST-REx-ID: 6678 |
How to achieve the capacity of asymmetric channels
M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Information Theory 64 (2018) 3371–3393.
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M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Information Theory 64 (2018) 3371–3393.
2018 | Conference Paper | IST-REx-ID: 6675 |
A new coding paradigm for the primitive relay channel
M. Mondelli, H. Hassani, R. Urbanke, in:, 2018 IEEE International Symposium on Information Theory, IEEE, 2018, pp. 351–355.
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M. Mondelli, H. Hassani, R. Urbanke, in:, 2018 IEEE International Symposium on Information Theory, IEEE, 2018, pp. 351–355.
2018 | Conference Paper | IST-REx-ID: 6665 |
Binary linear codes with optimal scaling: Polar codes with large kernels
A. Fazeli, H. Hassani, M. Mondelli, A. Vardy, in:, 2018 IEEE Information Theory Workshop, IEEE, 2018, pp. 1–5.
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| arXiv
A. Fazeli, H. Hassani, M. Mondelli, A. Vardy, in:, 2018 IEEE Information Theory Workshop, IEEE, 2018, pp. 1–5.
2017 | Conference Paper | IST-REx-ID: 6679 |
Partitioned list decoding of polar codes: Analysis and improvement of finite length performance
S.A. Hashemi, M. Mondelli, H. Hassani, R. Urbanke, W. Gross, in:, 2017 IEEE Global Communications Conference, IEEE, 2017, pp. 1–7.
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| arXiv
S.A. Hashemi, M. Mondelli, H. Hassani, R. Urbanke, W. Gross, in:, 2017 IEEE Global Communications Conference, IEEE, 2017, pp. 1–7.
2017 | Conference Paper | IST-REx-ID: 6729 |
Construction of polar codes with sublinear complexity
M. Mondelli, S.H. Hassani, R. Urbanke, in:, 2017 IEEE International Symposium on Information Theory , IEEE, 2017, pp. 1853–1857.
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M. Mondelli, S.H. Hassani, R. Urbanke, in:, 2017 IEEE International Symposium on Information Theory , IEEE, 2017, pp. 1853–1857.
2017 | Journal Article | IST-REx-ID: 6730 |
Reed–Muller codes achieve capacity on erasure channels
S. Kudekar, S. Kumar, M. Mondelli, H.D. Pfister, E. Sasoglu, R.L. Urbanke, IEEE Transactions on Information Theory 63 (2017) 4298–4316.
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S. Kudekar, S. Kumar, M. Mondelli, H.D. Pfister, E. Sasoglu, R.L. Urbanke, IEEE Transactions on Information Theory 63 (2017) 4298–4316.
2017 | Conference Paper | IST-REx-ID: 6731 |
Capacity-achieving rate-compatible polar codes for general channels
M. Mondelli, H. Hassani, I. Maric, D. Hui, S.-N. Hong, in:, 2017 IEEE Wireless Communications and Networking Conference Workshops , IEEE, 2017.
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M. Mondelli, H. Hassani, I. Maric, D. Hui, S.-N. Hong, in:, 2017 IEEE Wireless Communications and Networking Conference Workshops , IEEE, 2017.
2016 | Journal Article | IST-REx-ID: 6732 |
Unified scaling of polar codes: Error exponent, scaling exponent, moderate deviations, and error floors
M. Mondelli, S.H. Hassani, R.L. Urbanke, IEEE Transactions on Information Theory 62 (2016) 6698–6712.
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M. Mondelli, S.H. Hassani, R.L. Urbanke, IEEE Transactions on Information Theory 62 (2016) 6698–6712.
2016 | Conference Paper | IST-REx-ID: 6733 |
Comparing the bit-MAP and block-MAP decoding thresholds of Reed-Muller codes on BMS channels
S. Kudekar, S. Kumar, M. Mondelli, H.D. Pfister, R. Urbankez, in:, 2016 IEEE International Symposium on Information Theory , IEEE, 2016, pp. 1755–1759.
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S. Kudekar, S. Kumar, M. Mondelli, H.D. Pfister, R. Urbankez, in:, 2016 IEEE International Symposium on Information Theory , IEEE, 2016, pp. 1755–1759.
2016 | Conference Paper | IST-REx-ID: 6770
Reed-Muller codes: Thresholds and weight distribution
M. Mondelli, S. Kudekar, S. Kumar, H.D. Pfister, E. Şaşoğlu, R. Urbanke, in:, 24th International Zurich Seminar on Communications, ETH Zürich, 2016, p. 50.
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M. Mondelli, S. Kudekar, S. Kumar, H.D. Pfister, E. Şaşoğlu, R. Urbanke, in:, 24th International Zurich Seminar on Communications, ETH Zürich, 2016, p. 50.
2015 | Journal Article | IST-REx-ID: 6737 |
Achieving Marton’s region for broadcast channels using polar codes
M. Mondelli, H. Hassani, I. Sason, R. Urbanke, IEEE Transactions on Information Theory 61 (2015) 783–800.
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M. Mondelli, H. Hassani, I. Sason, R. Urbanke, IEEE Transactions on Information Theory 61 (2015) 783–800.
2015 | Journal Article | IST-REx-ID: 6736 |
Scaling exponent of list decoders with applications to polar codes
M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Information Theory 61 (2015) 4838–4851.
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M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Information Theory 61 (2015) 4838–4851.
2014 | Conference Paper | IST-REx-ID: 6740 |
How to achieve the capacity of asymmetric channels
M. Mondelli, R. Urbanke, H. Hassani, in:, 52nd Annual Allerton Conference on Communication, Control, and Computing, IEEE, 2014, pp. 789–796.
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M. Mondelli, R. Urbanke, H. Hassani, in:, 52nd Annual Allerton Conference on Communication, Control, and Computing, IEEE, 2014, pp. 789–796.
2014 | Journal Article | IST-REx-ID: 6739 |
From polar to Reed-Muller codes: A technique to improve the finite-length performance
M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Communications 62 (2014) 3084–3091.
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M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Communications 62 (2014) 3084–3091.
2014 | Journal Article | IST-REx-ID: 6744
Joint power allocation and path selection for multi-hop noncoherent decode and forward UWB communications
M. Mondelli, Q. Zhou, V. Lottici, X. Ma, IEEE Transactions on Wireless Communications 13 (2014) 1397–1409.
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M. Mondelli, Q. Zhou, V. Lottici, X. Ma, IEEE Transactions on Wireless Communications 13 (2014) 1397–1409.
2013 | Journal Article | IST-REx-ID: 6768 |
A finite difference scheme for the stack filter simulating the MCM
M. Mondelli, Image Processing On Line 3 (2013) 68–111.
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M. Mondelli, Image Processing On Line 3 (2013) 68–111.
2012 | Conference Paper | IST-REx-ID: 6746
A cooperative approach for amplify-and-forward differential transmitted reference IR-UWB relay systems
M. Mondelli, Q. Zhou, X. Ma, V. Lottici, in:, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2012, pp. 2905–2908.
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M. Mondelli, Q. Zhou, X. Ma, V. Lottici, in:, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2012, pp. 2905–2908.
2011 | Journal Article | IST-REx-ID: 6749 |
Finite difference schemes for MCM and AMSS
M. Mondelli, A. Ciomaga, Image Processing On Line 1 (2011) 127–177.
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M. Mondelli, A. Ciomaga, Image Processing On Line 1 (2011) 127–177.
2011 | Conference Paper | IST-REx-ID: 6767
On finite difference schemes for curvature motions
M. Mondelli, A. Ciomaga, in:, Proceedings of the International Student Conference on Pure and Applied Mathematics, Editura Universitãtii „Alexandru Ioan Cuza” Iasi, 2011, pp. 137–156.
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M. Mondelli, A. Ciomaga, in:, Proceedings of the International Student Conference on Pure and Applied Mathematics, Editura Universitãtii „Alexandru Ioan Cuza” Iasi, 2011, pp. 137–156.