This research was supported by the United States Air Force through the Office of Scientific Research, Air Research and Development Command. Note: The article usage is presented with a three- to ...

Abstract: We consider the problem of constructing a penalty function associated with a given monotone function. We provide a construction that allows the monotone function to be discontinuous or ...

An Activation Function is generally used to introduce non-linearity and over the years of theoretical machine learning research, many activation functions have been constructed with the 2 most popular ...

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Abstract: In this paper, we introduce the notion of ordered directionally monotone function as a type of function which allows monotonicity along different directions in different points. In ...

ABSTRACT: Brain tumor segmentation is a vital step in diagnosis, treatment planning, and prognosis in neuro-oncology. In recent years, deep learning approaches have revolutionized this field, evolving ...

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ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and ...