Publications
2026
G. Soap, M. Avella Medina, and C. Rush, "Differentially Private Inference for Longitudinal Linear Regression", available online: arxiv.org/2601.10626.
R. Ray, M. Avella Medina, and C. Rush, "Statistical Guarantees for Data-driven Posterior Tempering", available online: arxiv.org/2601.09122.
2025
J. Marusic, M. Avella Medina, and C. Rush, "A theoretical framework for M-posteriors: frequentist guarantees and robustness", available online: arxiv.org/2510.01358.
Z. Bu, J. Klusowski, C. Rush, and R. Wu, "Sharp trade-offs in High-dimensional inference via 2-level SLOPE", available online: arxiv.org/2507.09110.
J. Shah, M. Cardone, A. Dytso, and C. Rush, "Generalized linear models with 1-bit measurements: Asymptotics of the maximum likelihood estimator", Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing 2025.
2024
R. Han, C. Rush, and J. Wiesel, "Max-sliced Wasserstein concentration and uniform ratio bounds of empirical measures on RKHS", (forthcoming) Bernoulli, available online: arxiv.org/2405.13153.
J. Montiel Olea, C. Rush, A. Velez, and J. Wiesel, "On the generalization error of norm penalty linear regression models", (forthcoming) Annals of Statistics, available online: arxiv.org/2211.07608.
C. Cademartori and C. Rush, "A non-asymptotic analysis of generalized vector approximate message passing algorithms with right rotationally invariant designs", IEEE Transactions on Information Theory, 2024, available online: arxiv.org/2302.00088.
2023
Z. Bu, J. Klusowski, C. Rush, and W. Su, "Characterizing the SLOPE Trade-off: A Variational Perspective and the Donoho-Tanner Limit", Annals of Statistics, 51.1 (2023): 33-61, available online: arxiv.org/2105.13302.
C. Rush, F. Skerman, A. Wein, and D. Yang, "Is it easier to count communities than find them?", Proceedings of Innovations in Theoretical Computer Science (ITCS), 2023, available online: arxiv.org/2212.10872.
R. Ray, M. Avella Medina, and C. Rush, "Asymptotics for power posterior mean estimation", 59th Annual Allerton Conference on Communication, Control, and Computing (Allerton): 1-8, 2023, available online: arxiv.org/2310.07900.
J. Shah, M. Cardone, A. Dytso, and C. Rush, "When is MIMO Massive in Radar?", Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing 2023.
H. Liu, C. Rush, and D. Baron, "Rigorous State Evolution Analysis for Approximate Message Passing with Side Information", IEEE Transactions on Information Theory, vol. 69, no. 6, pp. 3989-4013, 2023, available online: arxiv.org/2003.11964.
2022
O. Feng, R. Venkataramanan, C. Rush, and R. Samworth, "A unifying tutorial on Approximate Message Passing", Foundations and Trends in Machine Learning, 15, no. 4 (2022): 335-536.
M. Avella Medina, J. Montiel Olea, C. Rush, and A. Velez, "On the Robustness to Misspecification of
M. Cardone, A. Dytso, and C. Rush, "Entropic Central Limit Theorem for Order Statistics", IEEE Transactions on Information Theory, vol. 69, no. 4, pp. 2193-2205, 2022, available online: arxiv.org/2205.04621.
K. Hsieh, C. Rush, and R. Venkataramanan, "Near-Optimal Coding for Massive Multiple Access", IEEE Journal on Selected Areas in Information Theory, vol. 3, no. 1, pp. 21-36, 2022, available online: arxiv.org/2102.04730.
2021
Z. Bu, J. Klusowski, C. Rush, and W. Su, "Algorithmic Analysis and Statistical Estimation of SLOPE via Approximate Message Passing", IEEE Transactions on Information Theory, Vol. 67, No. 1, 2021, available online: arxiv.org/1907.07502. Short version presented at NeurIPs 2019.
K. Hsieh, C. Rush, and R. Venkataramanan, "Near-Optimal Coding for Massive Multiple Access", Proceedings of IEEE International Symposium on Information Theory (ISIT), 2021, available online: arxiv.org/2102.04730.
C. Rush, K. Hsieh, and R. Venkataramanan, "Capacity-achieving Spatially Coupled Sparse Superposition Codes with AMP Decoding", IEEE Transactions on Information Theory, Vol. 67, No. 7, 2021, available online: arxiv.org/2002.07844.
M. Cardone, A. Dytso, and C. Rush, "Entropic CLT for Order Statistics", Proceedings of IEEE International Symposium on Information Theory (ISIT), 2021, available online: arxiv.org/2205.04621.
V. Amalladinne, A. K. Pradhan, C. Rush, J.F. Chamberland, and K. Narayanan "Unsourced Random Access with Coded Compressed Sensing: Integrating AMP and Belief Propagation", IEEE Transactions on Information Theory, vol. 68, no. 4, pp. 2384-2409, 2021, available online: arxiv.org/2010.04364.
A. Dytso, M. Cardone, and C. Rush, "The Most Informative Order Statistic and its Application to Image Denoising", Asilomar Conference on Signals and Systems, available online: arxiv.org/2101.11667.
A. Dytso, M. Cardone, and C. Rush, "Measuring Dependencies of Order Statistics: An Information Theoretic Perspective", Proceedings of IEEE Information Theory Workshop (ITW), 2021, available online: arxiv.org/2009.12337.
2020
J. Barbier, N. Macris, and C. Rush, "All-or-nothing statistical and computational phase transitions in sparse spiked matrix estimation", NeurIPs 2020, available online: arxiv.org/2006.07971.
D. Baron, C. Rush, and Y. Yapici, "mmWave Channel Estimation via Approximate Message Passing with Side Information", IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2020, available online: arxiv.org/2005.02244.
C. Rush, "An Asymptotic Rate for the LASSO Loss", AISTATS 2020, available online: proceedings.mlr.press/rush20a.
C. Cademartori and C. Rush, "Exponentially Fast Concentration of Vector Approximate Message Passing to its State Evolution", Proceedings of IEEE International Symposium on Information Theory (ISIT), 2020.
V. Amalladinne, A. K. Pradhan, C. Rush, J.F. Chamberland, and K. Narayanan "On Approximate Message Passing for Unsourced Access with Coded Compressed Sensing", Proceedings of IEEE International Symposium on Information Theory (ISIT), 2020, available online: arxiv.org/2001.03705.
2019
Y. Ma, C. Rush, and D. Baron, "Analysis of Approximate Message Passing with Non-Separable Denoisers and Markov Random Field Priors", IEEE Transactions on Information Theory, Vol. 65, No. 11, November 2019, available online: ieeexplore.ieee.org/8793162.
C. Rush, K. Hsieh, and R. Venkataramanan, "Spatially coupled Sparse Regression Codes with Sliding Window AMP Decoding", Proceedings of IEEE Information Theory Workshop (ITW), 2019.
H. Liu, C. Rush, and D. Baron, "State Evolution Analysis of Approximate Message Passing with Side Information", Proceedings of IEEE International Symposium on Information Theory (ISIT), 2019, available online: arxiv.org/1902.00150
C. Rush and R. Venkataramanan, "The Error Probability of Sparse Superposition Codes With Approximate Message Passing Decoding", IEEE Transactions on Information Theory, Vol. 65, No. 5, May 2019, available online: ieeexplore.ieee.org/8540415.
A. Ma, Y. Zhou, C. Rush, D. Baron, and D. Needell, "An Approximate Message Passing Framework for Side Information", IEEE Transactions on Signal Processing, Vol. 67, No. 7, February 2019, available online: ieeexplore.ieee.org/8642358.
2018
C. Rush, K. Hsieh, and R. Venkataramanan, "Capacity-achieving sparse regression codes via spatial coupling", Proceedings of IEEE Information Theory Workshop (ITW), 2018, available online: https://ieeexplore.ieee.org/8613392
K. Hsieh, C. Rush, and R. Venkataramanan, "Spatially Coupled Sparse Regression Codes: Design and State Evolution Analysis", Proceedings of IEEE Int. Symp. on Information Theory (ISIT), 2018, ieeexplore.ieee.org/8437615
C. Rush and R. Venkataramanan, "Finite Sample Analysis of Approximate Message Passing", IEEE Transactions on Information Theory, Vol. 64, No. 11, November 2018, available online: arxiv.org/1606.01800.
2017
C. Rush and R. Venkataramanan, "The Error Exponent of Sparse Regression Codes with AMP Decoding", Proceedings of IEEE Int. Symp. on Information Theory (ISIT), 2017, ieeexplore.ieee.org/8006975.
D. Baron, A. Ma, D. Needell, C. Rush, and T. Woolf "Conditional Approximate Message Passing with Side Information", Proceedings of Asilomar Conference on Signals, Systems and Computers, 2017, ieeexplore.ieee.org/8335374.
Y. Ma, C. Rush, D. Baron, "Analysis of Approximate Message Passing with a Class of Non-Separable Denoisers", Proceedings of IEEE Int. Symp. on Information Theory (ISIT), 2017, ieeexplore.ieee.org/8006524.
C. Rush, A. Greig, and R. Venkataramanan, "Capacity-achieving Sparse Superposition Codes with Approximate Message Passing Decoding," IEEE Transactions on Information Theory, Vol. 63, No. 3, March 2017, available online: ieeexplore.ieee.org/7809025/.
X. Wang, C. Rush and N. Horton, "Data Visualization on Day One: Bringing Big Ideas into Intro Stats Early and Often", Technology Innovations in Statistics Education, Volume 10, Issue 1, 2017, available online: https://escholarship.org/.
2016 and before
C. Rush and R. Venkataramanan, "Finite Sample Analysis of Approximate Message Passing", Proceedings of IEEE Int. Symp. on Information Theory (ISIT), 2016 (JKW Student Paper Award Finalist), ieeexplore.ieee.org/7541400.
C. Rush, A. Greig, and R. Venkataramanan, "Capacity-achieving Sparse Regression Codes with Approximate Message Passing Decoding", Proceedings of IEEE Int. Symp. on Information Theory (ISIT), 2015, ieeexplore.ieee.org/7282809.
B. Wexler, M. Iselli, S. Leon, W. Zaggle, C. Rush, A. Goodman, and E. Ahmet, "Cognitive Priming and Cognitive Training: Immediate and Far Transfer to Academic Skills in Children", Scientific Reports 6 (2016): 32859, available online: http://www.nature.com/srep32859. Press: NPR, Yale News,WTNH.
C. Rush and A. Barron, "The Method of Nearby Measures", Proceedings of Workshop on Information Theoretic Methods in Science and Engineering (WITMSE), 2013, www.me.inf.kyushu-u.ac.jp/witmse2013.
G. Carter, C. Rush, F. Uygun, N. Sakhanenko, D. Galas, and T. Galitski, "A systems-biology approach to modular genetic complexity", Chaos 20.2 (2010): 026102, available online: http://www.ncbi.nlm.nih.gov/pmc.
