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The Contourlet Transform: An Efficient Directional Multiresolution Image Representation
 IEEE TRANSACTIONS ON IMAGE PROCESSING
"... The limitations of commonly used separable extensions of onedimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” twodimensional transform that can capture the intrinsic geometrical structure t ..."
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Cited by 513 (20 self)
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The limitations of commonly used separable extensions of onedimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” twodimensional transform that can capture the intrinsic geometrical structure
Loopy belief propagation for approximate inference: An empirical study. In:
 Proceedings of Uncertainty in AI,
, 1999
"... Abstract Recently, researchers have demonstrated that "loopy belief propagation" the use of Pearl's polytree algorithm in a Bayesian network with loops can perform well in the context of errorcorrecting codes. The most dramatic instance of this is the near Shannonlimit performanc ..."
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Cited by 676 (15 self)
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in a more gen eral setting? We compare the marginals com puted using loopy propagation to the exact ones in four Bayesian network architectures, including two realworld networks: ALARM and QMR. We find that the loopy beliefs of ten converge and when they do, they give a good approximation
Similarity and Utility in NonNumerical Domains
 In Mathematische Methoden der Wirtschaftswissenschaften, PhysikaVerlag
, 1999
"... In complex situations that arise in the context of the design of large processes, the fault diagnosis of airplanes, or the organization of companies, one has to find good or best solutions although the problems are not clearly defined mathematically. Casebased reasoning (CBR) supports the use of re ..."
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Cited by 3 (2 self)
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In complex situations that arise in the context of the design of large processes, the fault diagnosis of airplanes, or the organization of companies, one has to find good or best solutions although the problems are not clearly defined mathematically. Casebased reasoning (CBR) supports the use
Efficient exact stochastic simulation of chemical systems with many species and many channels
 J. Phys. Chem. A
, 2000
"... There are two fundamental ways to view coupled systems of chemical equations: as continuous, represented by differential equations whose variables are concentrations, or as discrete, represented by stochastic processes whose variables are numbers of molecules. Although the former is by far more comm ..."
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Cited by 427 (5 self)
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common, systems with very small numbers of molecules are important in some applications (e.g., in small biological cells or in surface processes). In both views, most complicated systems with multiple reaction channels and multiple chemical species cannot be solved analytically. There are exact numerical
The Determinants of Credit Spread Changes.
 Journal of Finance
, 2001
"... ABSTRACT Using dealer's quotes and transactions prices on straight industrial bonds, we investigate the determinants of credit spread changes. Variables that should in theory determine credit spread changes have rather limited explanatory power. Further, the residuals from this regression are ..."
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Cited by 422 (2 self)
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These findings suggest looking beyond the pure contingentclaims viewpoint when searching for the determinants of credit spread changes, since one might expect to observe a liquidity premium. Thus, we also examine the extent to which credit spread changes can be explained by proxies for liquidity changes. Our
1 Differences Between Numerical Software and Nonnumerical Ones
"... Due to the limitation on the precision of computer numbers approximating real numbers, finite precision computation is different from conventional mathematics. Wellknown examples are: (a + b) + c = a + (b + c)? ..."
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Due to the limitation on the precision of computer numbers approximating real numbers, finite precision computation is different from conventional mathematics. Wellknown examples are: (a + b) + c = a + (b + c)?
Predicting Data Cache Misses in NonNumeric Applications Through Correlation Profiling
 In MICRO30
, 1997
"... To maximize the benefit and minimize the overhead of softwarebased latency tolerance techniques, we would like to apply them precisely to the set of dynamic references that suffer cache misses. Unfortunately, the information provided by the stateoftheart cache miss profiling technique (summary pr ..."
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Cited by 38 (4 self)
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the caching behavior with the associated dynamic context. Our experimental results demonstrate that roughly half of the 22 nonnumeric applications we study can potentially enjoy significant reductions in memory stall time by exploiting at least one of the three forms of correlation profiling we consider. 1
Design of Numerical Software  Differences Between Numerical Software and Nonnumerical Ones
"... RETURN END How do we write out a specication for this program? Obviously, any value returned by RAN lies between 0 and 1. But this is not complete and precise. If there is a mistake causing 100001 to be replaced by 10001, can we nd CS760, S. Qiao Part 2 Page 2 out this mistake by checking the speci ..."
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the specication and testing the program? A precise and complete specication might exist, it is certainly hard to determine. Does that mean we have to give up on specifying numerical software? No. In the following example, we show how we might go about a speci cation regarding numerical issues. Consider
Weighted Essentially NonOscillatory Schemes
, 1994
"... In this paper we introduce a new version of ENO (Essentially NonOscillatory) shockcapturing schemes which we call Weighted ENO. The main new idea is that, instead of choosing the "smoothest" stencil to pick one interpolating polynomial for the ENO reconstruction, we use a convex combinati ..."
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Cited by 326 (8 self)
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combination of all candidates to achieve the essentially nonoscillatory property, while additionally obtaining one order of improvement in accuracy. The resulting Weighted ENO schemes are based on cellaverages and a TVD RungeKutta time discretization. Preliminary encouraging numerical experiments are given.
A Unique Approach for Watermarking Nonnumeric Relational Database
"... In today‟s transient world, securing digital assets is very important. For data authentication and integrity of the relational database we have proposed a secure method which uses both semantic and syntactic techniques to watermark the tuple in a relation. The Watermarking technique is dependent on ..."
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on secret key and on the relation. The proposed algorithm is based on the concept of predefined signals for ASCII characters. A secret key is generated by using these signals only. To embed a watermark we are using the concept of abbreviations for words and also one syntactic approach, if former technique
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