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Video tutorials on Stein's method
- Lecture 1: Basics, normal approximation with dependency graphs.
[Video]
[Slides]
- Lecture 2: Poisson approximation with size-biasing.
[Video]
[Slides]
- Lecture 3: Multivariate normal approximation with exchangeable pairs, process approximation.
[Video]
[Slides]
Preprints:
- Correlated uniform attachment trees
(with J. Bäumler,
M. Rácz, and A. Sridhar).
[arXiv Preprint]
- Network and interaction models for data with hierarchical granularity via fragmentation and coagulation
(with L. F. James and
J. Lee).
[arXiv Preprint]
Accepted:
- Finite-dimensional Gaussian approximation for deep neural networks: Universality in random weights
(with K. Balasubramanian).
To appear in Bernoulli.
[arXiv Preprint]
Journal Articles:
- Cutoff for the logistic SIS epidemic model with self-infection
(with R. He and
M. Luczak).
Adv. Appl. Probab. 57 (4), 456-1483 (2025).
[Published Version]
[arXiv Preprint]
- Gaussian random field approximation via Stein's method with applications to wide random neural networks
(with K. Balasubramanian,
L. Goldstein, and
A. Salim).
Appl. Comput. Harmon. Anal. 72 (2024).
[Published Version]
[arXiv Preprint]
- Stein's method, smoothing and functional approximation
(with A. D. Barbour
and G. Zheng).
Electron. J. Probab. 29, 29 pages (2024).
[Published Version]
[arXiv Preprint]
[Talk Video]
- Stein's method, Gaussian processes and Palm measures, with applications to queueing
(with A. D. Barbour
and G. Zheng).
Ann. Appl. Probab. 33 (5), 3835-3871 (2023).
[Published Version]
[arXiv Preprint]
[Talk Video]
- Stein's method for the Poisson-Dirichlet distribution and the Ewens Sampling Formula, with applications to Wright-Fisher models
(with H. L. Gan).
Ann. Appl. Probab. 31 (2), 625-667 (2021).
[Published Version]
[arXiv Preprint]
-
Local limit theorems for occupancy models
(with A. D. Barbour
and P. Braunsteins).
Random Structures Algorithms. 58 (1), 3-33 (2021).
[Published Version]
[arXiv Preprint]
- The probability of intransitivity in dice and close elections
(with J. Hązła,
E. Mossel,
and G. Zheng).
Probab. Theory Related Fields. 178 (3-4), 951-1009 (2020).
[Published Version]
[arXiv Preprint]
-
Central moment inequalities using Stein's method
(with A. D. Barbour
and Y. Wen).
Electron. J. Probab. 25, paper no. 91, 21 pages (2020).
[Published Version]
[arXiv Preprint]
- Exponential and Laplace approximation for occupation statistics of branching random walk
(with E. Peköz
and A. Röllin).
Electron. J. Probab. 25, paper no. 55, 22 pages (2020).
[Published Version]
[arXiv Preprint]
-
Approximating stationary distributions of fast mixing Glauber dynamics, with applications to exponential random graphs
(with G. Reinert).
Ann. Appl. Probab. 29 (5), 3201-3229 (2019).
[Published Version]
[arXiv Preprint]
-
Error bounds in local limit theorems using Stein's method
(with A. D. Barbour
and A. Röllin).
Bernoulli 25 (2), 1076-1104 (2019).
[Published Version]
[arXiv Preprint]
- Shotgun assembly of labeled graphs
(with E. Mossel).
IEEE Trans. Netw. Sci. Eng. 6 (2), 145-157 (2019).
[Published Version]
[arXiv Preprint]
- Pólya urns with immigration at random times
(with E. Peköz
and A. Röllin).
Bernoulli 25 (1), 189-220 (2019).
[Published Version]
[arXiv Preprint]
-
Physical-Layer Security in Full-Duplex Multi-Hop Multi-User Wireless Network with Relay Selection.
S. Atapattu,
N. Ross
Y. Jing,
Y. He
J. Evans.
IEEE Trans. Wireless Commun. 18 (2), 1216-1232 (2019).
[Published Version]
[Preprint]
- Scaling limits for some random trees constructed inhomogeneously
(with Y. Wen).
Electron. J. Probab. 23, paper no. 5, 35 pages (2018).
[Published Version]
[arXiv Preprint]
-
When do wireless network signals appear Poisson?
(with H. P. Keeler
and A. Xia).
Bernoulli 24 (3), 1973-1994 (2018).
[Published Version]
[arXiv Preprint]
- Dirichlet approximation of equilibrium distributions in Cannings models with mutation
(with H. L. Gan
and A. Röllin).
Adv. Appl. Probab. 49 (3), 927-959 (2017).
[Published Version]
[arXiv Preprint]
-
Joint degree distributions of preferential attachment random graphs
(with E. Peköz
and A. Röllin).
Adv. Appl. Probab. 49 (2), 368-387 (2017).
[Published Version]
[arXiv Preprint]
- Wireless network signals with moderately correlated shadowing still
appear Poisson
(with D. Schuhmacher).
IEEE Trans. Inf. Theory 63 (2), 1177-1198 (2017).
[Published Version]
[arXiv Preprint]
-
Generalized gamma approximation with rates for urns, walks and trees
(with E. Peköz
and A. Röllin).
Ann. Probab. 44 (3), 1776-1816 (2016).
[Published Version]
[arXiv Preprint]
-
Local limit theorems via Landau-Kolmogorov inequalities
(with A. Röllin).
Bernoulli 21, 851-880 (2015).
[Published Version]
[arXiv Preprint]
-
Can one hear the shape of a population history?
(with J. Kim,
E. Mossel
and M. Rácz).
Theor. Popul. Biol. 100, 26-38 (2015).
[Published Version]
[arXiv Preprint]
-
Entropy of some models of sparse random graphs with vertex-names
(with D. Aldous).
Probab. Engrg. Inform. Sci. 28 (2), 145-168 (2014).
[Published Version]
[arXiv Preprint]
-
Power laws in preferential attachment graphs and Stein's method for the negative binomial distribution.
Adv. Appl. Probab. 45 (3), 876-893 (2013).
[Published Version]
[arXiv Preprint]
-
Exponential approximation and Stein's method of exchangeable pairs
(with J. Fulman).
ALEA Lat. Am. J. Probab. Math. Stat. 10, 1-13 (2013).
[Published Version]
[arXiv Preprint]
-
Degree asymptotics with rates for preferential attachment random graphs
(with E. Peköz and
A. Röllin).
Ann. Appl. Probab. 23 (3), 1188-1218 (2013).
[Published Version]
[arXiv Preprint]
-
Total variation error bounds for geometric approximation
(with E. Peköz and
A. Röllin).
Bernoulli 19 (2), 610-632 (2013).
[Published Version]
[arXiv Preprint]
-
Archimedes, Gauss, and Stein
(with J. Pitman).
Notices Amer. Math. Soc. 59 (10), 1416-1421 (2012).
[Published Version]
[arXiv Preprint]
-
The greatest convex minorant of Brownian motion, meander, and bridge
(with J. Pitman).
Probab. Theory Related Fields. 153 (3-4), 771-807 (2012).
[Published Version]
[arXiv Preprint]
-
Fundamentals of Stein's method.
Survey article spun off the lecture notes of Berkeley graduate course Stat 206B.
Probab. Surveys. 8, 210-293 (2011).
[Published Version]
[arXiv Preprint]
-
Convex minorants of random walks and Lévy processes
(with J. Abramson,
J. Pitman and
G. Uribe Bravo).
Electron. Comm. Probab. 16, 423-434 (2011).
[Published Version]
[arXiv Preprint]
- Step size in Stein's method of
exchangeable pairs.
Combin. Probab. Comput. 18 (6), 979-1017 (2009).
[Published Version]
[arXiv Preprint]
Letters and Conference Proceedings:
- Multi-Shot Quantum Sensing for RF Signal Detection with MIMO Rydberg-Atom Receivers.
S. Atapattu,
H. Hapuarachchi,
N. Ross.
International Conference on Quantum Communications, Networking, and Computing (2026).
[Accepted Version]
- Detection of Unknown RF Signals Using Rydberg-Atom Quantum MIMO Receivers
S. Atapattu,
N. Ross,
H. Hapuarachchi.
IEEE Commun. Lett. 29 (10), 2446-2450 (2026).
[Published Version]
- Dynamic Scheduling for Enhanced Performance in RIS-assisted Cooperative Network with Interference.
Y. Lokugama,
S. Atapattu,
N. Ross
S, Kandeepan,
C. Tellambura.
IEEE 102nd Vehicular Technology Conference (2025).
[Accepted Version]
-
Source-Based Jamming for Physical-Layer Security on Untrusted Full-Duplex Relay.
S. Atapattu,
N. Ross
Y. Jing,
M. Premaratne.
IEEE Commun. Letters 23 (5), 842-846 (2019).
[Published Version]
[Accepted Version]
- Physical-Layer Security in Full-Duplex Multi-User Relay Networks.
S. Atapattu,
N. Ross
Y. Jing,
Y. He,
J. Evans.
IEEE International Conference on Communications (2018).
[Published Version]
[Accepted Version]
- Stronger Wireless Signals Appear More Poisson.
H. P. Keeler,
N. Ross,
A. Xia,
B. Błaszczyszyn
IEEE Wireless Commun. Lett. 5 (6), 572-575 (2016).
[Published Version]
[arXiv Preprint]
- Analytical results for the distribution of shortest path lengths in random networks.
E. Katzav,
M. Nitzan,
D. ben-Avraham,
P. L. Krapivsky,
R. Kühn,
N. Ross,
O. Biham.
Europhysics Lett. 111 (2), 26006 (2015).
[Published Version]
[arXiv Preprint]
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