Artificial neural network modelling of the neural population code underlying mathematical operations DOI Creative Commons
Tomoya Nakai, Shinji Nishimoto

bioRxiv (Cold Spring Harbor Laboratory), Journal Year: 2022, Volume and Issue: unknown

Published: June 6, 2022

Abstract Mathematical operations have long been regarded as a sparse, symbolic process in neuroimaging studies. In contrast, advances artificial neural networks (ANN) enabled extracting distributed representations of mathematical operations. Recent studies compared the visual, auditory and language domains ANNs biological (BNNs). However, such relationship has not yet examined mathematics. Here we used fMRI data series problems with nine different combinations operators to construct voxel-wise encoding models using both sparse operator latent ANN features. Representational similarity analysis demonstrated shared between BNN, an effect particularly evident intraparietal sulcus. Feature-brain served reconstruct representation based on Such reconstruction was more efficient when features from deeper layers. Moreover, allowed decoding novel during model training brain activity. The current study provides insights into code underlying thought.

Language: Английский

UTV decomposition of dual matrices and its applications DOI
Renjie Xu, Tong Wei, Yimin Wei

et al.

Computational and Applied Mathematics, Journal Year: 2024, Volume and Issue: 43(1)

Published: Jan. 4, 2024

Language: Английский

Citations

9

Distinct neuronal representation of small and large numbers in the human medial temporal lobe DOI

Esther F. Kutter,

Gert Dehnen,

Valeri Borger

et al.

Nature Human Behaviour, Journal Year: 2023, Volume and Issue: 7(11), P. 1998 - 2007

Published: Oct. 2, 2023

Language: Английский

Citations

14

Number selective sensorimotor neurons in the crow translate perceived numerosity into number of actions DOI Creative Commons
Maximilian E. Kirschhock, Andreas Nieder

Nature Communications, Journal Year: 2022, Volume and Issue: 13(1)

Published: Nov. 14, 2022

Abstract Translating a perceived number into matching of self-generated actions is hallmark numerical reasoning in humans and animals alike. To explore this sensorimotor transformation, we trained crows to judge values displays flexibly plan perform pecks. We report selective neurons the crow telencephalon that signaled impending actions. Neuronal population activity during transformation period predicted whether mistakenly planned fewer or more pecks than instructed. During both static neuronal code characterized by persistently number-selective dynamic originating from carrying rapidly changing information emerged. The findings indicate there are distinct functions abstract codes supporting system.

Language: Английский

Citations

21

Persistent neuronal firing in the medial temporal lobe supports performance and workload of visual working memory in humans DOI Creative Commons
Ece Boran, Peter Hilfiker, Lennart Stieglitz

et al.

NeuroImage, Journal Year: 2022, Volume and Issue: 254, P. 119123 - 119123

Published: March 20, 2022

The involvement of the medial temporal lobe (MTL) in working memory is controversially discussed. Recent findings suggest that persistent neural firing hippocampus during maintenance verbal associated with workload. Here, we recorded single neuron 13 epilepsy patients (7 male) while they performed a visual task. number colored squares stimulus set determined workload trial. Performance was almost perfect for low (1 and 2 squares) dropped at high (4 6 squares), suggesting exceeded capacity. We identified neurons MTL showed period. More were found trials correct compared to incorrect performance. Maintenance increased decreased entorhinal cortex Population predicted particularly Prediction accuracy based on single-trial activity strongest hippocampus. data reflects domain-general process supporting performance multiple items below beyond Persistent may be its preference visual-spatial arrays.

Language: Английский

Citations

19

Artificial neural network modelling of the neural population code underlying mathematical operations DOI Creative Commons
Tomoya Nakai, Shinji Nishimoto

NeuroImage, Journal Year: 2023, Volume and Issue: 270, P. 119980 - 119980

Published: Feb. 26, 2023

Mathematical operations have long been regarded as a sparse, symbolic process in neuroimaging studies. In contrast, advances artificial neural networks (ANN) enabled extracting distributed representations of mathematical operations. Recent studies compared the visual, auditory and language domains ANNs biological (BNNs). However, such relationship has not yet examined mathematics. Here we hypothesise that ANN-based can explain brain activity patterns We used fMRI data series problems with nine different combinations operators to construct voxel-wise encoding/decoding models using both sparse operator latent ANN features. Representational similarity analysis demonstrated shared between BNN, an effect particularly evident intraparietal sulcus. Feature-brain (FBS) served reconstruct representation based on features each cortical voxel. Such reconstruction was more efficient when from deeper layers. Moreover, allowed decoding novel during model training activity. The current study provides insights into code underlying thought.

Language: Английский

Citations

12

Innate responses to numerousness reveal neural activation in different brain regions in newly-hatched visually naïve chicks DOI Creative Commons
Elena Lorenzi,

Matilde Perrino,

Andrea Messina

et al.

Heliyon, Journal Year: 2024, Volume and Issue: 10(14), P. e34162 - e34162

Published: July 1, 2024

Whether non-symbolic encoding of quantity is predisposed at birth with dedicated hard-wired neural circuits debated. Here we presented newly-hatched visually naive chicks stimuli (flashing dots) either identical or different numerousness (with a ratio 1:3) their continuous physical appearance (size, contour length, density, convex hull) randomly changing. Chicks spontaneously tell apart the on basis number elements. Upon presentation fixed changing showed expression early gene c-fos in visual Wulst, hippocampal formation, intermediate medial mesopallium, and caudal part nidopallium caudolaterale. The results support hypothesis that ability to discriminate quantities does not require any specific instructive experience involves network several populations number-selective neurons. Evidence for innateness numerical cognition have implications both neurobiology philosophy mathematics.

Language: Английский

Citations

4

Related Processes DOI

Marcel Danesi

Mathematics in mind, Journal Year: 2025, Volume and Issue: unknown, P. 49 - 71

Published: Jan. 1, 2025

Language: Английский

Citations

0

The Calculating Brain DOI
Andreas Nieder

Physiological Reviews, Journal Year: 2024, Volume and Issue: 105(1), P. 267 - 314

Published: Aug. 8, 2024

The human brain possesses neural networks and mechanisms enabling the representation of numbers, basic arithmetic operations, mathematical reasoning. Without ability to represent numerical quantity perform calculations, our scientifically technically advanced culture would not exist. However, origins abilities are grounded in an intuitive understanding deeply rooted biology. Nevertheless, more symbolic skills require a cultural background with formal education. In past two decades, cognitive neuroscience has seen significant progress workings calculating through various methods model systems. This review begins by exploring mental neuronal representations nonsymbolic then progresses acquired childhood. During operations (addition, subtraction, multiplication, division), these processed transformed according rules principles, leveraging different strategies types knowledge that can be dissociated brain. Although it was once believed number processing calculation originated from language faculty, is now evident linguistic primarily independently Understanding how healthy processes information crucial for gaining insights into debilitating disorders, including conditions like acalculia learning-related disorders such as developmental dyscalculia.

Language: Английский

Citations

2

Single-neuron representation of nonsymbolic and symbolic number zero in the human medial temporal lobe DOI Creative Commons

Esther F. Kutter,

Gert Dehnen,

Valeri Borger

et al.

Current Biology, Journal Year: 2024, Volume and Issue: 34(20), P. 4794 - 4802.e3

Published: Sept. 24, 2024

The number zero holds a special status among numbers, indispensable for developing comprehensive theory.

Language: Английский

Citations

2

Mathematical models of learning and what can be learned from them DOI
Omri Barak, Misha Tsodyks

Current Opinion in Neurobiology, Journal Year: 2023, Volume and Issue: 80, P. 102721 - 102721

Published: April 10, 2023

Language: Английский

Citations

5