The Physics of Algorithms
Bibliography:
Some introductory (and brief) reviews relevant to the proposal
M. Mezard,
Passing Messages between disciplines,
Science 301, 685 (2003)
C.P. Gomes and B. Selman,
Computer Science: Satisfied with Physics,
Science 297, 784 (2002)
A.G. Percus, G. Istrate, C. Moore,
Where statistical physics meets computation, in: Computational Complexity and Statistical Physics
(Oxford University Press, New York, 2006), pp. 3-24.
General (Algorithms, Physics & related)
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T.H. Cormen, C.E. Leiserson, and R.L. Rivest,
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A.K. Hartmann, H. Rieger, Optimization Algorithms in
Physics, Wiley-VCH, 2002
D. MacKay,
Information Theory, Inference, and Learning Algorithms
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M. Mezard, A. Montanari,
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J.S. Yedidia, W.T. Freeman, Y. Weiss,
Constructing Free Energy Approximations and Generalized Belief Propagation Algorithms, TR-2004-040
Algorithms for Wireless Sensor Networks
D. Son, B. Krishnamachari, J. Heidemann,
Experimental Analysis of Concurrent Packet Transmissions in
Low-Power Wireless Networks ,
USC-ISI Technical Report ISI-TR-2005-609, November 2005.
K. Whitehouse, A. Woo, F. Jiang, J. Polastre, D. Culler,
Exploiting the capture effect for collision detection and
recovery, Embedded Networked Sensors '02, Sydney, May 30-31, 2005.
X.-Y. Li, P.-J. Wan, O. Frieder,
Coverage Problems in Wireless Ad-hoc Sensor Networks ,
IEEE Transactions for Computers 52 , 753 (2003).
B. Krishnamachari, D. Estrin, S. Wicker,
The impact of Data Aggregation in wireless Sensor Networks ,
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Distributed Event-Based Systems '02, Vienna, July 2002.
Z. Xiong, A.D. Liveris, and S. Cheng, IEEE Signal
Processing Magazine, Sep. 2004, p.80.
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Telecommunications Board. Embedded, Everywhere: A Research
Agenda for Networked Systems of Embedded Computers ,
(National Academy Press, Washington, DC, 2001).
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K. Akkaya, M. Younis, Ad Hoc Networks 3 , 325
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W. Ye, J. Heidemann, D. Estrin,
Medium access control with coordinated adaptive sleeping for
wireless sensor networks,
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S. Sichalou, L. Georgiadis, Computer Networks
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Community Detection
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Fast algorithm for detecting community structure in networks , Phys. Rev. E
69, 066133 (2004)
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A. Clauset, M. E. J. Newman and C. Moore,
Finding community structure in very large networks, Phys. Rev. E 70, 066111 (2004)
E. Ziv, M. Middendorf, C. Wiggins,
Inferring Network Mechanisms: The Drosophila melanogaster Protein Interaction Network,
PRE in press
G. Palla, I. Derenyi, I. Farkas, and
T. Vicsek,
Uncovering the overlapping community structure of complex networks in
nature and society , Nature 435 , 814 (2005).
Graph Coloring & Satisfiability
M. Mezard, G. Parisi, M.A. Virasoro, Spin Glass
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O.C. Martin, R. Monasson, and R. Zecchina,
Statistical Mechanics Methods and Phase Transitions in Optimization Problems, Theoretical Computer Science 265, 3 (2001)
M. Mezard, G. Parisi, R. Zecchina, Analytic and Algorithmic Solution of Random
Satisfiability Problems, Science 297, 812 (2002)
A. K. Hartmann and H. Rieger, Optimization Algorithms in Physics,
(Wiley-VCH, Berlin, 2002)
S. Cocco, R. Monasson, A. Montanari, G. Semerjian, Analyzing search
algorithms with physical methods, Chapter in Computational Complexity
and Statistical Physics, edited by A.G. Percus, G. Istrate, C. Moore
(Oxford University Press, New York, 2006), pp. 63-105.
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Dynamics phase transition for decoding algorithms , Phys.
Rev. E 66, 046120 (2002)
M. A. Neifeld, Y. Wu, Parallel image restoration with a two-dimensional
likelihood-based algorithm, Applied Optics 41, 4812 (2002)
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of 2-Dimensional ISI Channels, ITW2003, Paris (p.p. 131-134)
O. Shental, A.J. Weiss, N. Shental, Y. Weiss, Generalized Belief Propagation
Receiver for Near-Optimal Detection of Two-Dimensional Channels with Memory, preprint 2004
R. Koetter, P.O. Vontobel,
Graph-covers and iterative decoding of finite length codes, Proc. 3rd
International Symposium on Turbo Codes & Related Topics, Brest, France, p. 75-82, Sept. 1-5, 2003
M. Mezard, S. Ciliberti, R. Zecchina,
Source coding with low density nonlinear nodes , preprint 2005.
D. Slepian, J.K. Wolf,
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R. Ahlswede, N. Cai, S.-Y. R. Li, and R. W. Yeung,
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Y. Wu, J.A. O'Sullivan, N.~Singla, R.S. Indeck,
Iterative detection and decoding for separable two-dimensional intersymbol interference,
IEEE Trans. on Magnetics 36 , 2176 (2003).
S. Halevy, et. al,
Improved Bit-Stuffing Bounds on Two-Dimensional Constraints,
IEEE IT 50 , 824 (2004).
Our books, patent & publications relevant to the project:
BOOKs:
E. Ben-Naim, H. Frauenfelder, Z. Toroczkai, eds.,
Complex Networks,
Lecture Notes in Physics 650 (Springer, Berlin, 2004).
A.G. Percus, G. Istrate, C. Moore, eds., Computational Complexity and
Statistical Physics (Oxford University Press, New York, 2006).
PATENT:
M. Chertkov and I. Gabitov
U.S. Patent 6701050, issued March 2, 2004:
Methods and Optical Fibers that decrease pulse
degradation resulting from random chromatic dispersion
PUBLICATIONS:
F. J. Alexander, A. L. Garcia, and D. M. Tartakovsky,
Noise in Algorithm Refinement Methods,
Computing in Science and Engineering to appear (2006).
F. J. Alexander, G. L. Eyink, and J. M. Restrepo,
Accelerated Monte-Carlo for Optimal Estimation of Time Series,
Journal of Statistical Physics, 2006 (to appear).
F. J. Alexander, B. M. Boghosian, R. C. Brower and S. R. Kimura,
Fourier acceleration of Langevin molecular dynamics, Phys. Rev. E,
(art. no. 066704) (2001).
F. J. Alexander and G. L. Eyink,
Shape Dependent Thermodynamics and Non-Local Hydrodynamics in a
Non-Gibbsian Steady-State of a Drift-Diffusion System,
Phys. Rev. E 57, R6229 (1998).
F. J. Alexander and G. L. Eyink,
Rayleigh-Ritz calculation of effective potential far from equilibrium,
Phys. Rev. Lett. 78 , 1 (1997).
D. Achlioptas, A. Chtcherba, G. Istrate and C. Moore,
The phase transition in NAE 3-SAT and 1-in-k SAT,
In Proceedings of the 13'th ACM-SIAM Symposium on Discrete Algorithms (SODA'01).
D. Aldous and A.G. Percus,
Scaling and universality in continuous length combinatorial optimization, Proceedings of the National Academy of Sciences 100, 11211-11215 (2003).
E. Ben-Naim, P.L. Krapivsky, and S.N Majumdar,
Extremal Properties of Random Trees
Phys. Rev. E 64, R035101 (2001).
E. Ben-Naim, P.L. Krapivsky, and S. Redner,
Extremal Properties of Random Structures
Lecture Notes in Physics 650, 211 (2004).
E. Ben-Naim and P.L. Krapivsky,
Kinetic Theory of Random Graphs: from Paths to Cycles,
Phys. Rev. E, in press (2005).
E. Ben-Naim and P.L. Krapivsky,
Kinetic Theory of Random Graphs
AIP Proceedings, in press (2005).
S. Boettcher and A.G. Percus,
Optimization with extremal dynamics, Physical Review Letters 86, 5211 (2001).
S. Boettcher and A.G. Percus,
Extremal optimization for graph partitioning, Physical Review E 64, 026114 (2001).
S. Boettcher and A.G. Percus,
Nature's way of optimizing, Artificial Intelligence
119, 275 (2000)
S. Boettcher and A.G. Percus,
Extremal optimization at the phase
transition of the 3-coloring problem, Physical Review E 69, 066703 (2004).
D. Bokolamulla, A. Hansson, and T. Aulin, Low-complexity iterative
detection based on limited bi-directional trellis search, accepted to
IEE Proceedings - Communications, Jan. 2006.
V. Chernyak, M. Chertkov, I. Kolokolov, V. Lebedev,
Probability of anomalously large Bit-Error-Rate
in long haul optical transmission , Phys. Rev. E
68 , 066619 (2003).
V. Chernyak, M. Chertkov, I. Kolokolov, V. Lebedev,
Extreme Outages due to Polarization Mode Dispersion ,
Optics. Lett. 28 , 2159 (2003).
V. Chernyak, M. Chertkov, I. Kolokolov, V. Lebedev,
Compensation for Extreme Outages caused by Polarization Mode Dispersion and Amplifier noise,
Optics. Express. 11 , 1607 (2003).
V. Chernyak, M. Chertkov, I. Kolokolov, V. Lebedev,
Periodic and Quasi-Periodic Compensation Strategies of Extreme
Outages caused by Polarization Mode Dispersion and Amplifier
Noise , JETP Lett. 78, 198-201 (2003).
V. Chernyak, M. Chertkov, I. Gabitov, I. Kolokolov, V. Lebedev,
PMD induced fluctuations of Bit-Error-Rate in optical fiber systems,
Journal of Lightware Technology 22, 1155 (2004).
V. Chernyak, M. Chertkov, I. Kolokolov, A. Peleg,
Outage probability for soliton transmission ,
Euro.Phys.Lett 66, 499 (2004).
V. Chernyak, M. Chertkov, M. Stepanov, B. Vasic,
Error correction on a tree: An instanton approach,
Phys.Rev.Lett. 93 , 198702-1 (2004).
A.I.Chernykh, M.G.Stepanov, Large negative velocity gradients in
Burgers turbulence , Phys. Rev. E 64 026306 (2001).
M. Chertkov, Instanton for random advection , Phys. Rev. E 55 ,
2722 (1997).
M. Chertkov, I. Gabitov, J. Moeser,
Pulse confinement in optical fibers with random dispersion,
Proceedings of National Academy of Science USA
98, 14208 (2001).
M. Chertkov, I. Gabitov, I.Kolokolov, V. Lebedev,
Shedding and Interaction of Solitons in Imperfect Medium ,
Pis'ma v ZhETF 74, 391 (2001)
[JETP Letters 74, 357 (2001)].
M. Chertkov, I. Gabitov, I.Kolokolov, V. Lebedev,
Solitons in Optical Medium with Disorder and Anisotropy,
Pis'ma v ZhETF 74, 608 (2001).
M. Chertkov, I. Gabitov, P. Lushnikov, J. Moeser, Z. Toroczkai
Pinning method of pulse confinement in optical fiber with random dispersion,
JOSA B 19, 2538
(2002).
M. Chertkov, Y. Chung, A. Dyachenko, I. Gabitov, I. Kolokolov, and V. Lebedev,
Shedding and interaction of solitons in weakly disordered optical fibers,
Phys.Rev.E. 67, 036615 (2003).
M. Chertkov, I. Gabitov, I. Kolokolov and T. Schafer
Passive Compensation of Polarization Mode Dispersion via Periodic Control of Birefringent
Disorder, JOSA B 21, 486 (2004).
M.Chertkov, V.Y. Chernyak, Loop Calculus in Statistical Physics and Information Science,
submitted to Phys.Rev.E.,
cond-mat/0601487
M.Chertkov, V.Y. Chernyak, Loop series for discrete statistical models on graphs,
submitted to JSTAT,
cond-mat/0603189
M.Chertkov, M. Stepanov, Looping Linear Programming Decoding of LDPC codes,
submitted to IEEE Transactions on Information Theory,
cs.IT/0601113
G. L. Eyink, J. M. Restrepo and F. J. Alexander,
A Statistical-Mechanical Approach to Data Assimilation for Nonlinear
Dynamics: II. Evolution Approximations, submitted to Journal of Statistical Physics,
(2005).
G. L. Eyink, J. M. Restrepo and F. J. Alexander,
A Mean-field approximation in data assimilation for nonlinear dynamics,
Physica D (to appear).
A. Hansson and T. Aulin, On antenna array receiver principles for
space-time-selective Rayleigh fading channels, IEEE Transactions on
Communications, 48, 648 (2000).
A. Hansson, K.M. Chugg, T. Aulin,
On forward-adaptive versus forward/backward-adaptive SISO algorithms for Rayleigh fading channels,
IEEE Communications Letters 5, 477 (2001).
A. Hansson and T. Aulin, Iterative diversity detection for correlated
continuous-time Rayleigh fading channels, IEEE Transactions on
Communications, 51, 240 (2003).
A. Hansson and T. Aulin, Generalized APP Detection of Continuous
Phase Modulation over Unknown ISI Channels, IEEE Transactions on
Communications, 53, 1615 (2005).
M. B. Hastings, T. C. Halsey,
High-dimensional diffusive growth
Europhysics Letters 55 679 (2001).
M. B. Hastings, Mean-Field and Anomalous Behavior on a Small-World Network,
Phys. Rev. Lett. 91, 098701 (2003).
M. B. Hastings, Random Vibrational Networks and Renormalization Group,
Phys. Rev. Lett. 90 , 148702 (2003).
M. B. Hastings, Community Detection as an Inference Problem,
cond-mat/0604429
G. Istrate,
Computational complexity and phase transitions,
Proceedings of the Annual IEEE Conference on Computational Complexity, 104 (2000).
G. Istrate, Marathe M.V., S.S. Ravi,
Adversarial models in evolutionary game dynamics,
SIAM PROCEEDINGS SERIES, 719 (2001).
G. Istrate,
The phase transition in random Horn satisfiability and
its algorithmic implications,
Random Structures & Algorithms 20 483 (2002).
G. Istrate, S. Boettcher, A.G. Percus,
Spines of random constraint
satisfaction problems: definition and connection with computational
complexity, Annals of Mathematics and Artificial Intelligence 44,
353-372 (2005).
G. Istrate, A complete classification of theshold properties of of boolean random constraint satisfaction problems,
to appear in Discrete Applied Mathematics, special issue on Typical Complexity and Phase Transitions, E. Kranakis and L. Kiroussis (editors).
G. Istrate, On the satisfiability of random k-Horn formulae,
in "Graphs, Morphisms and Statistical Physics", P. Winkler and J. Nesetril (editors),
pp. 113-136, AMS-DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 2004.
V. Krishnamurthy, M. Faloutsos, M. Chrobak, L. Lao, J.-H. Cui and A.G.
Percus,
Reducing large internet topologies for faster simulations,
Proceedings of the 4th International IFIP-TC6 Networking Conference
(NETWORKING 2005). Lecture Notes in Computer Science (Springer-Verlag,
Berlin, 2005), Vol. 3462, pp. 328-341.
A.Peleg, M. Chertkov, I. Gabitov
Inelastic collisions of pulses in optical fibers, JOSA B
21, 18 (2004).
A. Peleg, M. Chertkov, I. Gabitov
Inter-channel interaction of optical solitons, Phys. Rev. E 68, 026605 (2003).
M.G. Stepanov, V. Chernyak, M. Chertkov, B. Vasic,
Diagnosis of weaknesses in error correction: a physics approach
, Phys. Rev. Lett. 95, 228701
(2005), extended version is available at
cond-mat/0506037
M.G. Stepanov and M. Chertkov,
The error-floor of LDPC codes in the Laplacian
channel, Proceedings of 43rd Allerton Conference (September 28-30,
2005, Allerton, IL), cs.IT/0507031
M.G. Stepanov and M. Chertkov,
Instanton analysis of Low-Density-Parity-Check codes in the error-floor regime,
cs.IT/0601070
D. Volk, M.G. Stepanov, Resampling methods for document clustering, cond-mat/0109006