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      Number detectors spontaneously emerge in a deep neural network designed for visual object recognition

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          Abstract

          A deep neural network trained only on visual object recognition develops tuned number detectors reminiscent of real neurons.

          Abstract

          Humans and animals have a “number sense,” an innate capability to intuitively assess the number of visual items in a set, its numerosity. This capability implies that mechanisms to extract numerosity indwell the brain’s visual system, which is primarily concerned with visual object recognition. Here, we show that network units tuned to abstract numerosity, and therefore reminiscent of real number neurons, spontaneously emerge in a biologically inspired deep neural network that was merely trained on visual object recognition. These numerosity-tuned units underlay the network’s number discrimination performance that showed all the characteristics of human and animal number discriminations as predicted by the Weber-Fechner law. These findings explain the spontaneous emergence of the number sense based on mechanisms inherent to the visual system.

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          Most cited references31

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          Dropout: a simple way to prevent neural networks from overfitting

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            Representation of the quantity of visual items in the primate prefrontal cortex.

            Deriving the quantity of items is an abstract form of categorization. To explore it, monkeys were trained to judge whether successive visual displays contained the same quantity of items. Many neurons in the lateral prefrontal cortex were tuned for quantity irrespective of the exact physical appearance of the displays. Their tuning curves formed overlapping filters, which may explain why behavioral discrimination improves with increasing numerical distance and why discrimination of two quantities with equal numerical distance worsens as their numerical size increases. A mechanism that extracts the quantity of visual field items could contribute to general numerical ability.
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              The neuronal code for number.

              Humans and non-human primates share an elemental quantification system that resides in a dedicated neural network in the parietal and frontal lobes. In this cortical network, 'number neurons' encode the number of elements in a set, its cardinality or numerosity, irrespective of stimulus appearance across sensory motor systems, and from both spatial and temporal presentation arrays. After numbers have been extracted from sensory input, they need to be processed to support goal-directed behaviour. Studying number neurons provides insights into how information is maintained in working memory and transformed in tasks that require rule-based decisions. Beyond an understanding of how cardinal numbers are encoded, number processing provides a window into the neuronal mechanisms of high-level brain functions.
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                Author and article information

                Journal
                Sci Adv
                Sci Adv
                SciAdv
                advances
                Science Advances
                American Association for the Advancement of Science
                2375-2548
                May 2019
                08 May 2019
                : 5
                : 5
                : eaav7903
                Affiliations
                Animal Physiology Unit, Institute of Neurobiology, Auf der Morgenstelle 28, University of Tübingen, 72076 Tübingen, Germany.
                Author notes
                [*]

                Present address: Clinical Neurotechnology Lab, Charité–Berlin University of Medicine, Charitéplatz 1, 10117 Berlin, Germany.

                [†]

                Present address: Laboratory of Neural Systems, The Rockefeller University, 1230 York Avenue, New York, NY 10065, USA.

                []Corresponding author. Email: andreas.nieder@ 123456uni-tuebingen.de
                Author information
                http://orcid.org/0000-0003-0343-4341
                http://orcid.org/0000-0002-6992-0134
                http://orcid.org/0000-0001-6381-0375
                Article
                aav7903
                10.1126/sciadv.aav7903
                6506249
                31086820
                5834df12-31e9-47c5-a3df-f7cc1408355d
                Copyright © 2019 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC).

                This is an open-access article distributed under the terms of the Creative Commons Attribution-NonCommercial license, which permits use, distribution, and reproduction in any medium, so long as the resultant use is not for commercial advantage and provided the original work is properly cited.

                History
                : 19 October 2018
                : 26 March 2019
                Funding
                Funded by: doi http://dx.doi.org/10.13039/501100001659, Deutsche Forschungsgemeinschaft;
                Award ID: NI 618/10-1
                Categories
                Research Article
                Research Articles
                SciAdv r-articles
                Cognitive Neuroscience
                Custom metadata
                Nielsen Marquez

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