P u b l i c a t i o n s

Book length works

Perfect Simulation

M. Huber

CRC Monographs on Statistics & Applied Probability, ISBN:  978-1482232448, 2016

[Amazon]

Perfect sampling with bounding chains

M. Huber

Ph.D. thesis, Cornell University, 1999

[pdf]

Preprints

Generating from the Strauss Process using stitching

Mark Huber

Version:  2020-08-11

[link]

Refereeed articles and chapters

Robust estimation of the mean with bounded relative standard deviation

Mark Huber

Monte Carlo and Quasi-Monte Carlo Methods 2018, edited by Bruno Tuffin and Pierre L’Ecuyer.

[arXiv]

Halving the bounds for the Markov, Chebyshev, and Chernoff inequalities through smoothing

Mark Huber

American Mathematical Monthly, to appear, arXiv:1803.06361. 

[arXiv]

An optimal (ε,δ)-approximation scheme for the mean of random variables with bounded relative variance

M. Huber

Random Structures & Algorithms, 55(2):356370, 2019, arXiv:1706.01478. 

[arXiv][article]

Adaptive Markov chain Monte Carlo

M. Huber

Wiley StatsRef-Statistics Reference Online.  2019.  John Wiley & Sons, DOI:  10.1002/9781118445112.stat07851.

[article][Wiley Online Library]

Admissible Bernoulli correlations

Mark Huber and Nevena Marić

Journal of Statistical Distributions and Applications, 6(2), 2019.  DOI:  0.1186/s40488-019-0091-5

[article]

Faster estimates of the mean of bounded random variables

Mark Huber and Bo Jones

Mathematics and Computers in Simulation, 161:93—101, 2019

[article]

Monte Carlo with User-Specified Relative Error

J. Feng, M. Huber, and Y. Ruan

Proceedings in Mathematics & Statistics:  Monte Carlo and Quasi-Monte Carlo methods (eds P.W. Glynn and A. Owen).  Springer.  Vol 241, Ch 12, 2018.

[article]

Adaptive Monte Carlo integration

M. Huber

Wiley StatsRef-Statistics Reference Online.  2018.  John Wiley & Sons, DOI: 10.1002/9781118445112.stat08070.

[article][Wiley Online Library]

Using TPA for approximating the number of linear extensions

J. Banks, S. Garrabranct, M. Huber, and A. Perizzolo.

Journal of Discrete Algorithms. 51:111, 2018.  arXiv:1010.4981. 

[arXiv]

Fast perfect simulation of Vervaat perpetuities

K. Cloud and M. Huber

Journal of Complexity. 42:1930. 2017. arXiv:1510.01780.  DOI: 10.1016/j.jco.2017.03.005.

[arXiv][journal accepted manuscript]

A Bernoulli mean estimate with known relative error distribution

M. Huber.

Random Structures & Algorithms, arXiv:1309.5413. 50:173—182, 2017 

[arXiv]

Optimal Bernoulli factories for small mean problems

M. Huber

Methodology and Computing in Applied Probability, arXiv:1407.00843. Vol 19, No 2, pp. 631645, 2017.

[arXiv][journal article]

Nearly optimal Bernoulli factories for linear functions

M. Huber

Combinatorics, Probability and Computing, arXiv: 1308.1562.  Vol 25, No 4, pp. 577—591, July 2016.

[arxiv] [journal article]

Simulation of multivariate distributions with fixed marginals and correlations

M. Huber and N. Marić

Journal of Applied Probability, arXiv:1311.2002.  Vol 52, No 2, pp. 602608, 2015.

[arXiv]

Approximation algorithms for the normalizing constant of Gibbs distributions
M. Huber
Annals of Applied Probability, arXiv:1206.2689.  Vol 25, pp. 974—985, 2015.

[arXiv]

Random construction of interpolating sets for high dimensional integration.
M. Huber and S. Schott
Journal of Applied Probability, arXiv:1112.3692.  Vol 51, No 1, pp. 92—105, 2014.

[arXiv]

Minimum correlation for any bivariate Geometric distribution

M. Huber and N. Marić

ALEA Latin American Journal of Probability and Mathematical Statistics, arXiv: 1406.1779. Vol 11, pp. 459—470, 2014

[arXiv]

Near-linear time simulation of linear extensions of a height-2 poset with bounded interaction

Mark Huber

Chicago Journal of Theoretical Computer Science, Vol 2014, Article 3, 2014.

[journal pdf]

Spatial Birth-Death-Swap Chains

Mark Huber

Bernoulli, Vol 18, No 3, pp. 1031—1041, arXiv:1006.5934, 2012

[arXiv]

Bounds on the artificial phase transition for perfect simulation of hard core Gibbs processes

Mark L. Huber, Elise Villella, Daniel Rozenfeld, and Jason Xu

Involve, Vol 5, No 3, pp. 247—255​, 2012

[abstract]

Simulation reduction of the Ising model to general matchings
Mark Huber and Jenny Law

Electronic Journal of Probability, Vol 17,  pp. 1—15, Article 33, 2012

[journal pdf]

Monotonic multigamma coupling for perfect sampling

F. Mitha and M. L. Huber

Journal of Statistical Computation and Simulation, Vol 82, No 4, pp 603—622, 2012

[abstract]

Spatial point processes

Mark Huber

In S. Brooks, A. Gelman, G. Jones, and X. Meng, editors, Handbook of MCMC, pp. 227—252, Chapman & Hall/CRC Press, 2011

[Amazon]

Simulation reductions for the Ising model

M. L. Huber

Journal of Statistical Theory and Practice, Vol 5, No 3, pp. 413—424, 2011

[arXiv]

 

Perfect simulation of Vervaat perpetuities

J. A. Fill  and M. L. Huber

Electronic Journal of Probability, Vol 15, pp. 96—109, Article 4, 2010

[journal pdf]

Using TPA for Bayesian inference

M. L. Huber and S. Schott

Bayesian Statistics 9, pp. 257—282, 2010

The stationary Matérn hard core process of type III.

J. Møller, M. L. Huber, and R. L. Wolpert

Stochastic Processes and Applications, Vol 120, pp. 2142—2158, 2010

[abstract][preprint]

Likelihood-based inference for Matérn type-III repulsive point processes

M. L. Huber and R. L. Wolpert

Advances in Applied Probability, Vol 41, No 4, pp. 958—977, 2009

[abstract][preprint]

Conditions for rapid mixing of parallel and simulated tempering on multimodal distributions

D. B. Woodward, S. C. Schmidler, and M. Huber

Annals of Applied Probability, Vol 19, No 2, pp. 617—640, 2012

[pdf]

Sufficient conditions for torpid mixing of parallel and simulated tempering

D. B. Woodward, S. C. Schmidler, and M. Huber

Electronic Journal of Probability, Vol 14, pp. 780—804, Article 29, 2009

[journal pdf]

Perfect simulation with exponential tails

M. Huber

Random Structures & Algorithms, Vol 33. No 1, pp. 29—43, 2008

[journal pdf]

 

Fast approximation of the permanent for very dense problems

M. Huber and J. Law.

Proceedings of 19th ACM-SIAM Symposium on Discrete Algorithms, pp 681—689, 2008

Perfect simulation for image restoration

M. Huber

Stochastics Models, Vol 23, No 3, 2007

[pdf]

 

The ancestral distance test:  A topdown approach to detect correlated evolution in large lineages with missing character data and incomplete phylogenies

D. Hearn and M. Huber

Systemic Biology, Vol 55, No 5, pp. 803—817, 2006

[journal pdf]

Exact sampling from perfect matchings of dense regular bipartite graphs

M. Huber

Algorithmica, Vol 44, pp. 183—193, 2006

[journal pdf]

Fast perfect sampling from linear extensions

M. Huber

Discrete Mathematics, Vol 306, pp. 420—428, 2006

[journal pdf]

Monte Carlo algorithms for Hardy-Weinberg proportions

M. Huber, Y. Chen, I. Dinwoodie, A. Dobra, and M. Nicholas

Biometrics, Vol 62, pp. 49—53, 2006

[journal pdf]

Lattice points, contingency tables, and sampling

Y. Chen, I. Dinwoodie, A. Dobra, and M. Huber

Contempory Mathematics, Vol 374, pp. 65—78, 2005

Force distributions in a trigonal lattice of rigid bars

B. Tighe, J. Socolar, D. Schaeffer, W. Mitchener, and M. Huber

Physical Review E, Vol 72, pp. 031306, 2005

[journal pdf]

 

Perfect sampling using bounding chains

M. Huber

Annals of Applied Probability, Vol 14, No 2, pp. 734—753, 2004

[journal pdf]

The stationary distribution in the Antivoter model:  exact sampling and approximations

M. Huber and G. Reinert

In Stein's Method: Expository Lectures and Applications, IMS Lecture Notes 46, pp. 79—94, 2004.

[journal pdf]

A bounding chain for Swendsen-Wang

M. L. Huber

Random Structures & Algorithms, Vol 22, No 1, pp. 43—59, 2003

[journal pdf]

Optimal token allocations in Solitarie Knock 'm Down

A. T. Benjamin, M. T. Fluet, and M. L. Huber

The Electronic Journal of Combinatorics, Vol 8, No 2, pp. 1—8, 2001

[journal pdf]

 

The Randomness Recycler:  A new approach to perfect sampling.

J. A. Fill and M. L. Huber

Proceedings of the 41st Symposium on Foundations of Computer Science, pp. 503—511, 2000

A faster method for sampling independent sets

Mark L. Huber

Proceedings of the 11th ACM-SIAM Symposium on Discrete Algorithms, pp. 625—626, 2000

Exact sampling using Swendsen-Wang

Mark Huber

Proceedings of the 10th ACM-SIAM Symposium on Discrete Algorithms, pp. 921—922, 1999

Exact sampling and approximate counting techniques

Mark L. Huber

Proceedings of the 30th Symposium on the Theory of Computing, pp. 31—40, 1998

© 2020 by Mark Huber

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