Emergence of a "visual number sense" in hierarchical generative models

2011 ◽  
Author(s):  
M. Zorzi ◽  
I. Stoianov
2012 ◽  
Vol 15 (2) ◽  
pp. 194-196 ◽  
Author(s):  
Ivilin Stoianov ◽  
Marco Zorzi

2021 ◽  
Vol 7 (1) ◽  
pp. eabd6127
Author(s):  
Gwangsu Kim ◽  
Jaeson Jang ◽  
Seungdae Baek ◽  
Min Song ◽  
Se-Bum Paik

Number sense, the ability to estimate numerosity, is observed in naïve animals, but how this cognitive function emerges in the brain remains unclear. Here, using an artificial deep neural network that models the ventral visual stream of the brain, we show that number-selective neurons can arise spontaneously, even in the complete absence of learning. We also show that the responses of these neurons can induce the abstract number sense, the ability to discriminate numerosity independent of low-level visual cues. We found number tuning in a randomly initialized network originating from a combination of monotonically decreasing and increasing neuronal activities, which emerges spontaneously from the statistical properties of bottom-up projections. We confirmed that the responses of these number-selective neurons show the single- and multineuron characteristics observed in the brain and enable the network to perform number comparison tasks. These findings provide insight into the origin of innate cognitive functions.


2017 ◽  
Vol 40 ◽  
Author(s):  
Ivilin Peev Stoianov ◽  
Marco Zorzi

AbstractWe provide an emergentist perspective on the computational mechanism underlying numerosity perception, its development, and the role of inhibition, based on our deep neural network model. We argue that the influence of continuous visual properties does not challenge the notion of number sense, but reveals limit conditions for the computation that yields invariance in numerosity perception. Alternative accounts should be formalized in a computational model.


2021 ◽  
Author(s):  
Yiwei Zhou ◽  
Huanwen Chen ◽  
Yijun Wang

Lateral inhibition is a basic principle of information processing and widely exists in the human and animal nervous systems. Lateral inhibition is also involved in processing visual information because it travels through the retina, primary visual cortex, and visual nervous system. This finding suggests that lateral inhibition is associated with visual number sense in humans and animals. Here, we show a number-sensing neural network model based on lateral inhibition. The model can reproduce the size and distance effects of the output response of human and animal number-sensing neurons when the network connection weights are set randomly without adjustment. The number sense of the model disappears when lateral inhibition is removed. Our study shows that the first effect of lateral inhibition is to strengthen the linear correlation between the total response intensity of the input layer and the number of objects. The second one is to allow the output cells to prefer different numbers. Results indicate that lateral inhibition plays an indispensable role in untrained spontaneous number sense.


Cortex ◽  
2019 ◽  
Vol 114 ◽  
pp. 54-66 ◽  
Author(s):  
Vyacheslav R. Karolis ◽  
Mikhail Grinyaev ◽  
Andreea Epure ◽  
Vyacheslav Tsoy ◽  
Ebba Du Rietz ◽  
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Keyword(s):  

2015 ◽  
Vol 223 (2) ◽  
pp. 102-109 ◽  
Author(s):  
Evelyn H. Kroesbergen ◽  
Marloes van Dijk

Recent research has pointed to two possible causes of mathematical (dis-)ability: working memory and number sense, although only few studies have compared the relations between working memory and mathematics and between number sense and mathematics. In this study, both constructs were studied in relation to mathematics in general, and to mathematical learning disabilities (MLD) in particular. The sample consisted of 154 children aged between 6 and 10 years, including 26 children with MLD. Children performing low on either number sense or visual-spatial working memory scored lower on math tests than children without such a weakness. Children with a double weakness scored the lowest. These results confirm the important role of both visual-spatial working memory and number sense in mathematical development.


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