Maximum likelihood density modification under maximum entropy control
نویسندگان
چکیده
منابع مشابه
Maximum-likelihood density modification
A likelihood-based approach to density modification is developed that can be applied to a wide variety of cases where some information about the electron density at various points in the unit cell is available. The key to the approach consists of developing likelihood functions that represent the probability that a particular value of electron density is consistent with prior expectations for t...
متن کامل3 : Maximum Likelihood / Maximum Entropy Duality
In the previous lecture we defined the principle of Maximum Likelihood (ML): suppose we have random variables X1, ..., Xn form a random sample from a discrete distribution whose joint probability distribution is P (x | φ) where x = (x1, ..., xn) is a vector in the sample and φ is a parameter from some parameter space (which could be a discrete set of values — say class membership). When P (x | ...
متن کاملMaximum-likelihood density modification using pattern recognition of structural motifs
The likelihood-based approach to density modification [Terwilliger (2000), Acta Cryst. D56, 965-972] is extended to include the recognition of patterns of electron density. Once a region of electron density in a map is recognized as corresponding to a known structural element, the likelihood of the map is reformulated to include a term that reflects how closely the map agrees with the expected ...
متن کاملMaximum likelihood kernel density estimation
Methods for improving the basic kernel density estimator include variable locations, variable bandwidths (often called variable kernels) and variable weights. Currently these methods are implemented separately and via pilot estimation of variation functions derived from asymptotic considerations. In this paper, we propose a simple maximum likelihood procedure which allows (in its greatest gener...
متن کاملA Universally Consistent Modification of Maximum Likelihood
In some models, both parametric and not, maximum likelihood estimation fails to be consistent. We investigate why the maximum likelihood method breaks down with some examples and notice the paradox that, in those same models, maximum likelihood estimation would have been consistent if the data had been measured with error. With this motivation we define doubly-smoothed maximum likelihood as a n...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Crystallographica Section A Foundations of Crystallography
سال: 2002
ISSN: 0108-7673
DOI: 10.1107/s010876730209503x