The Martingale Method for Mean-Field Disordered Systems at High Temperature

1998 ◽  
pp. 91-113 ◽  
Author(s):  
Francis Comets
Keyword(s):  
High Temperature ◽  
Disordered Systems ◽  
Mean Field ◽  
Martingale Method

Gaussian Processes for Classification: Mean-Field Algorithms

2000 ◽  
Vol 12 (11) ◽  
pp. 2655-2684 ◽  
Author(s):  
Manfred Opper ◽  
Ole Winther
Keyword(s):  
Support Vector Machines ◽  
Gaussian Processes ◽  
Disordered Systems ◽  
Binary Classification ◽  
Computational Cost ◽  
Mean Field ◽  
Strong Support ◽  
Support Vector ◽  
Vector Machines ◽  
Leave One Out

We derive a mean-field algorithm for binary classification with gaussian processes that is based on the TAP approach originally proposed in statistical physics of disordered systems. The theory also yields an approximate leave-one-out estimator for the generalization error, which is computed with no extra computational cost. We show that from the TAP approach, it is possible to derive both a simpler “naive” mean-field theory and support vector machines (SVMs) as limiting cases. For both mean-field algorithms and support vector machines, simulation results for three small benchmark data sets are presented. They show that one may get state-of-the-art performance by using the leave-one-out estimator for model selection and the built-in leave-one-out estimators are extremely precise when compared to the exact leave-one-out estimate. The second result is taken as strong support for the internal consistency of the mean-field approach.

Mean field like renormalization group for disordered systems

1982 ◽  
Vol 92 (6) ◽  
pp. 287-292 ◽  
Author(s):  
M. Droz ◽  
A. Maritan ◽  
A.L. Stella
Keyword(s):  
Renormalization Group ◽  
Disordered Systems ◽  
Mean Field

Role of Van Hove singularity in high-temperature superconductors: Mean field

1991 ◽  
Vol 43 (4) ◽  
pp. 3075-3084 ◽  
Author(s):  
D. M. Newns ◽  
P. C. Pattnaik ◽  
C. C. Tsuei
Keyword(s):  
High Temperature ◽  
High Temperature Superconductors ◽  
Mean Field ◽  
Van Hove Singularity

FLUCTUATION CONDUCTIVITY EFFECTS ON THERMOELECTRIC POWER OF GRANULAR Bi1.75Pb0.25Ca2Sr2Cu3O10 SUPERCONDUCTOR

1989 ◽  
Vol 03 (03) ◽  
pp. 241-248 ◽  
Author(s):  
CH. LAURENT ◽  
S.K. PATAPIS ◽  
S.M. GREEN ◽  
H.L. LUO ◽  
C. POLITIS ◽  
...  
Keyword(s):  
Electrical Resistivity ◽  
High Temperature ◽  
Thermoelectric Power ◽  
High Temperature Superconductivity ◽  
Mean Field ◽  
Temperature Derivative ◽  
Fluctuation Conductivity ◽  
Straight Line ◽  
The Mean ◽  
Mean Field Regime

We report precise measurements of the thermoelectric power (TEP) of granular superconducting Bi 1.75 Pb 0.25 Ca 2 Sr 2 Cu 3 O 10. The TEP is strictly linear at high temperature. Superconductivity fluctuations set in at about 140 K. From the temperature derivative of the excess TEP (with respect to a straight line at “high temperature”), the critical behavior is obtained in the mean field regime, and is found identical to that of the temperature derivative of the excess electrical resistivity.

Ab Initio, Mean Field and High-Temperature Series Expansion Calculation Study of Structural Stability and Magnetism of MnHg

2015 ◽  
Vol 28 (8) ◽  
pp. 2501-2504 ◽  
Author(s):  
R. Masrour ◽  
E. K. Hlil ◽  
M. Hamedoun ◽  
A. Benyoussef ◽  
O. Mounkachi ◽  
...  
Keyword(s):  
High Temperature ◽  
Ab Initio ◽  
Structural Stability ◽  
Series Expansion ◽  
Mean Field ◽  
Temperature Series
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