Contrasting “geometric fitting”, for which the noise level is taken as the asymptotic variable, with “statistical inference”, for which the number of observations is taken as the asymptotic variable, we give a new definition of the “geometric AIC” and the “geometric MDL” as the counterparts of Akaike’s AIC and Rissanen’s MDL. We discuss various theoretical and practical problems that emerge fro...

: Reference assisted assembly requires the use of a reference sequence, as a model, to assist in the assembly of the novel genome. The standard method for identifying the best reference sequence for the assembly of a novel genome aims at counting the number of reads that align to the reference sequence, and then choosing the reference sequence which has the highest number of reads aligning to i...

Multi-Domain Logic (MDL) is a generalization of signed logic, in which every variable has its own domain. This aspect increases the efficiency of direct solving of MDL satisfiability, because the solving process proceeds by reducing the size of the domains (contradiction appears as an empty domain). In contrast to the usual approach of translating signed logic satisfiability into boolean satisf...

Minimum Description Length (MDL) is an important principle for induction and prediction, with strong relations to optimal Bayesian learning. This paper deals with learning non-i.i.d. processes by means of two-part MDL, where the underlying model class is countable. We consider the online learning framework, i.e. observations come in one by one, and the predictor is allowed to update his state o...

colleagues [1] demonstrated that, compared with the Macintosh direct laryngoscope (MDL), the C-MAC videolaryngoscope (C-MAC) improved laryngeal view and achieved a higher intubation success rate on first attempt in patients with predictors of difficult intubation in the ICU. In the Materials and methods, however, the authors did not mention what position the patient’s head was placed during lar...

The susceptibilities of 20 clinical isolates of Mycobacterium intracellulare to rifampin, MDL 473, and ansamycin were determined by broth and agar dilution methods. Ansamycin was more active than MDL 473, which in turn was usually more active than rifampin by either method. The MICs for 90% of the strains tested by agar dilution were 1, 2, and 4 micrograms of ansamycin, MDL 473, and rifampin pe...

In this paper we propose a new criterion, based on Minimum Description Length (MDL), to estimate an optimal number of clusters. This criterion, called Kernel MDL (KMDL), is particularly adapted to the use of kernel K-means clustering algorithm. Its formulation is based on the definition of MDL derived for Gaussian Mixture Model (GMM). We demonstrate the efficiency of our approach on both synthe...

Based on the duality that the asymptotic properties of statistical inference in the limit of an in nite number of observations hold for geometric tting in the limit of in nitesimal perturbations, we de ne the geometric MDL as the dual to Rissanen's MDL and give an information-theoretic interpretation. Doing numerical simulations and real image virtual studio experiments, we observe that the geo...

We propose a simple algorithm for improving the MDL (minimum description length) estimator of the number of sources of signals impinging on multiple sensors. The algorithm is based on the norms of vectors whose elements are the normalized and nonlinearly scaled eigenvalues of the received signal covariance matrix and the corresponding normalized indexes. Such norms are used to discriminate the ...