02833nam 22004815 450 991029927990332120200705125455.03-319-75304-510.1007/978-3-319-75304-1(CKB)4100000002892397(MiAaPQ)EBC5340122(DE-He213)978-3-319-75304-1(PPN)225548771(EXLCZ)99410000000289239720180322d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDeep Neural Networks in a Mathematical Framework /by Anthony L. Caterini, Dong Eui Chang1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (95 pages)SpringerBriefs in Computer Science,2191-57683-319-75303-7 This SpringerBrief describes how to build a rigorous end-to-end mathematical framework for deep neural networks. The authors provide tools to represent and describe neural networks, casting previous results in the field in a more natural light. In particular, the authors derive gradient descent algorithms in a unified way for several neural network structures, including multilayer perceptrons, convolutional neural networks, deep autoencoders and recurrent neural networks. Furthermore, the authors developed framework is both more concise and mathematically intuitive than previous representations of neural networks. This SpringerBrief is one step towards unlocking the black box of Deep Learning. The authors believe that this framework will help catalyze further discoveries regarding the mathematical properties of neural networks.This SpringerBrief is accessible not only to researchers, professionals and students working and studying in the field of deep learning, but also to those outside of the neutral network community.SpringerBriefs in Computer Science,2191-5768Artificial intelligencePattern recognitionArtificial Intelligencehttps://scigraph.springernature.com/ontologies/product-market-codes/I21000Pattern Recognitionhttps://scigraph.springernature.com/ontologies/product-market-codes/I2203XArtificial intelligence.Pattern recognition.Artificial Intelligence.Pattern Recognition.006.32Caterini Anthony Lauthttp://id.loc.gov/vocabulary/relators/aut875499Chang Dong Euiauthttp://id.loc.gov/vocabulary/relators/autBOOK9910299279903321Deep Neural Networks in a Mathematical Framework1954797UNINA