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Popular deep neural networks classically use additive aggregation functions in their cell structures. It is available in the literature that the use of multiplicative aggregation functions in shallow artificial neural networks produces successful results for the forecasting problem. A type of high-order shallow artificial neural network that uses multiplicative aggregation functions is the dendritic neuron model artificial neural network, which has successful forecasting performance. In this study, the transformation of the dendritic neuron model turned into a multi-output architecture. A new dendritic cell based on the multi-output dendritic neuron model and a new deep artificial neural network is proposed. The training of this new deep dendritic artificial neural network is carried out with the differential evolution algorithm. The forecasting performance of the deep dendritic artificial neural network is compared with basic classical forecasting methods and some recent shallow and deep artificial neural networks over stock market time series. As a result, it has been observed that deep dendritic artificial neural network produces very successful forecasting results for the forecasting problem.<\/jats:p>","DOI":"10.1007\/s10462-024-10790-7","type":"journal-article","created":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T14:02:14Z","timestamp":1718114534000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":61,"title":["A new deep neural network for forecasting: Deep dendritic artificial neural network"],"prefix":"10.1007","volume":"57","author":[{"given":"Erol","family":"Egrioglu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Eren","family":"Bas","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,6,11]]},"reference":[{"issue":"2","key":"10790_CR1","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1515\/jaiscr-2018-0009","volume":"8","author":"E Akdeniz","year":"2018","unstructured":"Akdeniz E, Egrioglu E, Bas E, Yolcu U (2018) An ARMA type pi-sigma artificial neural network for nonlinear time series forecasting. 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