The problem of joint feature selection across a group of related tasks has applications in many areas including biomedical informatics and computer vision. We consider the 2,1-norm regularized regression model for joint feature selection from multiple tasks, which can be derived in the probabilistic framework by assuming a suitable prior from the exponential family. One appealing feature of the...

Recently, variational Bayesian (VB) techniques have been applied to probabilistic matrix factorization and shown to perform very well in experiments. In this paper, we theoretically elucidate properties of the VB matrix factorization (VBMF) method. Through finite-sample analysis of the VBMF estimator, we show that two types of shrinkage factors exist in the VBMF estimator: the positive-part Jam...

Multiple kernel learning (MKL), structured sparsity, and multi-task learning have recently received considerable attention. In this paper, we show how different MKL algorithms can be understood as applications of either regularization on the kernel weights or block-norm-based regularization, which is more common in structured sparsity and multi-task learning. We show that these two regularizati...

We analyse how intensive exploitation may have caused evolutionary changes in the age and length at maturation in North Sea plaice Pleuronectes platessa. Such evolutionary change in the onset of maturation is expected, given that fishing mortality is more than 4 times higher than natural mortality. In order to disentangle phenotypic plasticity from evolutionary change, we employ the probabilist...

The problem of joint feature selection across a group of related tasks has applications in many areas including biomedical informatics and computer vision. We consider the 2,1-norm regularized regression model for joint feature selection from multiple tasks, which can be derived in the probabilistic framework by assuming a suitable prior from the exponential family. One appealing feature of the...

Carcinogenic and systemic health effects of arsenic exposure in drinking water are well documented. This study estimated the risk associated with chronic consumption of water with high concentrations of arsenic in children and adults living in six Andean locations, in Chile. Concentrations of arsenic in the drinking water were analyzed between 2014 and 2017 based on health authority reports and...

The conditioning theory of the generalized inverse CA‡ is considered in this article. First, we introduce three kinds condition numbers for CA‡, i.e., normwise, mixed and componentwise ones, present their explicit expressions. Then, using intermediate result, which derivative can recover number expressions solution equality constrained indefinite least squares problem. Furthermore, augment syst...

the object of this paper is to introduce the notion of intuitionisticfuzzy continuous mappings and intuitionistic fuzzy bounded linear operatorsfrom one intuitionistic fuzzy n-normed linear space to another. relation betweenintuitionistic fuzzy continuity and intuitionistic fuzzy bounded linearoperators are studied and some interesting results are obtained.

ahmad matar – iraqi satirical poet – attempted to save the arabic governments from imperialistic yoke who tried to arrogate nations’ freedom. his poetic language has sensible characteristics which the poet applies them in order to invite people to freedom and liberty. norm breaking is one of his poetry’s features. the present article tries to survey the vocal norm breaking – including rhyme, rh...