That acknowledged, I am of the opinion that mathematical philosophy matters more now than it has in nearly a century. The power of modern computers matched with that of modern mathematical software and the sophistication of current mathematics is changing the way we do mathematics. In my view it is now both necessary and possible to admit quasi-empirical inductive methods fully into mathematica...

This paper describes a person verification system based on facial profile views and features extracted from speech. The system is comprised of two non-homogeneous classifiers whose outputs are fused after a normalization step. Experiments are reported which show that integration of the face profile and speech information results in superior performance to that of its subsystems. Additionally, t...

If the inflaton sector is described by softly broken supersymmetry, and the inflaton has unsuppressed couplings, the inflaton mass will run strongly with scale. Four types of model are possible. The prediction for the spectral index involves two parameters, while the COBE normalization involves a third, all of them calculable functions of the relevant masses and couplings. A crude estimate is m...

4 easyRNASeq 6 4.1 usage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4.2 warnings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4.3 arguments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.4 Critical information regarding the input . . . . . . . . . . . . . . ...

This paper deals with several cohort methods for score normalization in speaker verification systems. At first, the reasons for score normalization are provided. Next, the principle of score normalization techniques based on Bayesian theorem are explained. The world, cohort, and unconstraint cohort normalization techniques are presented. A new normalization technique, unconstraint cohort extrap...

Let 2 be a binary relation on R’!+. The convexed relation 2 is defined by xky iff Vz[y~conv{w:w~z}]*[x~conv{w:w~z)] [see Hildenbrand (1974)]. Starr (1969), first formally presented this relation, which was used by him and by others in equilibrium analysis of markets with non-convex preference relations [see for example Shaked (1976)]. The question arises which properties of the unconvexed relat...

k-anonymity is the method used for masking sensitive data which successfully solves the problem of re-linking of data with an externa l source and makes it difficul t to l'e-iden tify the individual. T hus kanonymity works on a set of quasi-identifiers (public sensitive at t ributes), whose possible availability and linking is anticipated from external dataset , and demands that the released da...

Gödel’s second incompleteness theorem forbids to prove, in a given theory U , the consistency of many theories—in particular, of the theory U itself—as well as it forbids to prove the normalization property for these theories, since this property implies their consistency. When we cannot prove in a theory U the consistency of a theory T , we can try to prove a relative consistency theorem, that...

One of the difficulties of training deep neural networks is caused by improper scaling between layers. Scaling issues introduce exploding / gradient problems, and have typically been addressed by careful scale-preserving initialization. We investigate the value of preserving scale, or isometry, beyond the initial weights. We propose two methods of maintaing isometry, one exact and one stochasti...