Detection of malignant skin lesions is important for early and accurate diagnosis cancer. In this work, a hybrid method lesion detection from dermoscopy images proposed. The combines the feature extraction process convolutional neural networks (CNN) with an ensemble learner called stacked cross-validation (CV). features extracted by three different CNN architectures, namely, ResNet50, Xception,...

Generalized cross validation (GCV) is one of the most important approaches used to estimate parameters in the context of inverse problems and regularization techniques. A notable example is the determination of the smoothness parameter in splines. When the data are generated by a state space model, like in the spline case, efficient algorithms are available to evaluate the GCV score with comple...

In recent years, the focus of study in smoothing parameter selection for kernel density estimation has been on the univariate case, while multivariate kernel density estimation has been largely neglected. In part, this may be due to the perception that calibrating multivariate densities is substantially more diicult. In this paper, we explicitly derive and compare multivariate versions of the b...

The process of model selection and assessment aims at finding a subset of parameters that minimize the expected test error for a model related to a learning algorithm. Given a subset of tuning parameters, an exhaustive grid search is typically performed. In this paper an automatic algorithm for model selection and assessment is proposed. It adaptively learns the error function in the parameters...

Wavelets are orthonormal basis functions with special properties that show potential in many areas of mathematics and statistics. This article concentrates on the estimation of functions and images from noisy data using wavelet shrinkage. A modified form of twofold cross-validation is introduced to choose a threshold for wavelet shrinkage estimators operating on data sets of length a power of t...