Developing the knowledge of number digits in a child-like robot

[1]  P. Mahadevan,et al.  An overview , 2007, Journal of Biosciences.

[2]  Angelo Cangelosi,et al.  The iCub learns numbers: An embodied cognition study , 2014, 2014 International Joint Conference on Neural Networks (IJCNN).

[3]  Marco Zorzi,et al.  Computational Modeling of Numerical Cognition , 2004 .

[4]  Jürgen Schmidhuber,et al.  Deep learning in neural networks: An overview , 2014, Neural Networks.

[5]  A. Cangelosi,et al.  Developmental Robotics: From Babies to Robots , 2015 .

[6]  Ulrike Cress,et al.  Applying embodied cognition: from useful interventions and their theoretical underpinnings to practical applications , 2017 .

[7]  Chaitanya Ramineni,et al.  Development of number combination skill in the early school years: when do fingers help? , 2008, Developmental science.

[8]  Giulio Sandini,et al.  Design, realization and sensorization of the dexterous iCub hand , 2010, 2010 10th IEEE-RAS International Conference on Humanoid Robots.

[9]  Rolf Pfeifer,et al.  How the body shapes the way we think - a new view on intelligence , 2006 .

[10]  Mauro Pesenti,et al.  Masked priming effect with canonical finger numeral configurations , 2008, Experimental Brain Research.

[11]  Angelo Cangelosi,et al.  A Deep Learning Neural Network for Number Cognition: A bi-cultural study with the iCub , 2015, 2015 Joint IEEE International Conference on Development and Learning and Epigenetic Robotics (ICDL-EpiRob).

[12]  Nitish Srivastava,et al.  Dropout: a simple way to prevent neural networks from overfitting , 2014, J. Mach. Learn. Res..

[13]  Bert De Smedt,et al.  Arithmetic in the developing brain: A review of brain imaging studies , 2017, Developmental Cognitive Neuroscience.

[14]  Marco Zorzi,et al.  Associative Arithmetic with Boltzmann Machines: The Role of Number Representations , 2002, ICANN.

[15]  Kikuo Fujimura,et al.  The intelligent ASIMO: system overview and integration , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[16]  Angelo Cangelosi,et al.  Making fingers and words count in a cognitive robot , 2013, Front. Behav. Neurosci..

[17]  Angelo Cangelosi,et al.  Grounding fingers, words and numbers in a cognitive developmental robot , 2014, 2014 IEEE Symposium on Computational Intelligence, Cognitive Algorithms, Mind, and Brain (CCMB).

[18]  Jacob Cohen Statistical Power Analysis for the Behavioral Sciences , 1969, The SAGE Encyclopedia of Research Design.

[19]  Oliver Lindemann,et al.  Finger posing primes number comprehension , 2017, Cognitive Processing.

[20]  A. Nieder The neuronal code for number , 2016, Nature Reviews Neuroscience.

[21]  M. H. Fischer,et al.  Conceptual and interactive embodiment : foundations of embodied cognition , 2015 .

[22]  Sven Behnke,et al.  Evaluation of Pooling Operations in Convolutional Architectures for Object Recognition , 2010, ICANN.

[23]  Deborah Moore-Russo,et al.  Emerging perspectives on gesture and embodiment in mathematics , 2014 .

[24]  A. Cangelosi,et al.  Embodied Mental Imagery in Cognitive Robots , 2017 .

[25]  Stefan Carlsson,et al.  CNN Features Off-the-Shelf: An Astounding Baseline for Recognition , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition Workshops.

[26]  M. Alibali,et al.  The function of gesture in learning to count: more than keeping track * , 1999 .

[27]  高橋 知音 Neuroanatomical Evidence of Dyslexia (I) : A Review of Brain Imaging Studies , 1997 .

[28]  Giulio Sandini,et al.  The iCub Cognitive Humanoid Robot: An Open-System Research Platform for Enactive Cognition , 2006, 50 Years of Artificial Intelligence.

[29]  C. Gallistel,et al.  The Child's Understanding of Number , 1979 .

[30]  Mauro Pesenti,et al.  Finger Numeral Representations: More than Just Another Symbolic Code , 2011, Front. Psychology.

[31]  Angelo Cangelosi,et al.  Embodied language and number learning in developmental robots , 2015 .

[32]  Mitchell J. Nathan,et al.  Embodiment in Mathematics Teaching and Learning: Evidence From Learners' and Teachers' Gestures , 2012 .

[33]  Angelo Cangelosi,et al.  Robotic model of the contribution of gesture to learning to count , 2012, 2012 IEEE International Conference on Development and Learning and Epigenetic Robotics (ICDL).

[34]  Michael Andres,et al.  Common substrate for mental arithmetic and finger representation in the parietal cortex , 2012, NeuroImage.

[35]  Sebastian Ruder,et al.  An overview of gradient descent optimization algorithms , 2016, Vestnik komp'iuternykh i informatsionnykh tekhnologii.

[36]  C. Ilie,et al.  Corpus Analysis , 2019 .

[37]  François Chollet,et al.  Keras: The Python Deep Learning library , 2018 .

[38]  A. F. Adams,et al.  The Survey , 2021, Dyslexia in Higher Education.

[39]  C. Gallistel,et al.  Preverbal and verbal counting and computation , 1992, Cognition.

[40]  Friedemann Pulvermüller,et al.  You can count on the motor cortex: Finger counting habits modulate motor cortex activation evoked by numbers , 2012, NeuroImage.

[41]  Frank Domahs,et al.  Mind the gap between both hands: Evidence for internal finger-based number representations in children's mental calculation , 2008, Cortex.

[42]  M. Noël,et al.  Does finger training increase young children's numerical performance? , 2008, Cortex.

[43]  Alessandro Di Nuovo,et al.  Development of numerical cognition in children and artificial systems: a review of the current knowledge and proposals for multi-disciplinary research , 2019, Cogn. Comput. Syst..

[44]  S. Dehaene,et al.  Cross-linguistic regularities in the frequency of number words , 1992, Cognition.

[45]  Max Lungarella,et al.  Developmental Robotics , 2009, Encyclopedia of Artificial Intelligence.

[46]  Martin A. Riedmiller,et al.  A direct adaptive method for faster backpropagation learning: the RPROP algorithm , 1993, IEEE International Conference on Neural Networks.

[47]  Aleksander Madry,et al.  How Does Batch Normalization Help Optimization? (No, It Is Not About Internal Covariate Shift) , 2018, NeurIPS.

[48]  Marc H Schieber,et al.  Human finger independence: limitations due to passive mechanical coupling versus active neuromuscular control. , 2004, Journal of neurophysiology.

[49]  Guilherme Wood,et al.  A developmental fMRI study of nonsymbolic numerical and spatial processing , 2008, Cortex.

[50]  Alessandro G. Di Nuovo,et al.  Long-Short Term Memory Networks for Modelling Embodied Mathematical Cognition in Robots , 2018, 2018 International Joint Conference on Neural Networks (IJCNN).

[51]  S. Piantadosi Zipf’s word frequency law in natural language: A critical review and future directions , 2014, Psychonomic Bulletin & Review.

[52]  van Paul Geert,et al.  Springer handbook of model-based science , 2016 .

[53]  Alessandro G. Di Nuovo An embodied model for handwritten digits recognition in a cognitive robot , 2017, SSCI.

[54]  J. Leiza,et al.  A Critical Review and Future Directions , 1997 .

[55]  Geoffrey E. Hinton,et al.  Deep Learning , 2015, Nature.

[56]  S. Cook,et al.  Consolidation and transfer of learning after observing hand gesture. , 2013, Child development.

[57]  Jimmy Ba,et al.  Adam: A Method for Stochastic Optimization , 2014, ICLR.

[58]  G. Lakoff,et al.  Where mathematics comes from : how the embodied mind brings mathematics into being , 2002 .

[59]  Kunihiko Fukushima,et al.  Artificial vision by multi-layered neural networks: Neocognitron and its advances , 2013, Neural Networks.

[60]  Davide Marocco,et al.  Autonomous learning in humanoid robotics through mental imagery. , 2013, Neural networks : the official journal of the International Neural Network Society.

[61]  Martha W. Alibali,et al.  How Teachers Link Ideas in Mathematics Instruction Using Speech and Gesture: A Corpus Analysis , 2014 .

[62]  Yoshua Bengio,et al.  Understanding the difficulty of training deep feedforward neural networks , 2010, AISTATS.

[63]  Luigi Cattaneo,et al.  Numbers within Our Hands: Modulation of Corticospinal Excitability of Hand Muscles during Numerical Judgment , 2007, Journal of Cognitive Neuroscience.

[64]  Frank Domahs,et al.  Handy numbers: Finger counting and numerical cognition , 2012 .

[65]  A. Glenberg Embodiment as a unifying perspective for psychology. , 2010, Wiley interdisciplinary reviews. Cognitive science.

[66]  Elizabet Spaepen,et al.  Approximate number word knowledge before the cardinal principle. , 2015, Journal of experimental child psychology.

[67]  Jian Sun,et al.  Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classification , 2015, 2015 IEEE International Conference on Computer Vision (ICCV).

[68]  Andreas Theodorou,et al.  Designing and implementing transparency for real time inspection of autonomous robots , 2017, Connect. Sci..

[69]  Pete Warden,et al.  Speech Commands: A Dataset for Limited-Vocabulary Speech Recognition , 2018, ArXiv.

[70]  John D. Barrow,et al.  Theories of Everything: The Quest for Ultimate Explanation , 1991 .

[71]  Brian Butterworth,et al.  The Mathematical Brain , 1999 .

[72]  Dumitru Erhan,et al.  Going deeper with convolutions , 2014, 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[73]  Nikolaos G. Tsagarakis,et al.  The initial design and manufacturing process of a low cost hand for the robot iCub , 2008, Humanoids 2008 - 8th IEEE-RAS International Conference on Humanoid Robots.

[74]  Frank Domahs,et al.  The Influence of Implicit Hand-Based Representations on Mental Arithmetic , 2011, Front. Psychology.

[75]  Susan Goldin-Meadow,et al.  CHAPTER 3 GESTURE ’ S ROLE IN LEARNING ARITHMETIC , 2019 .

[76]  Susan Goldin-Meadow,et al.  Gesture as a window onto children’s number knowledge , 2015, Cognition.

[77]  Elida V. Laski,et al.  Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison. , 2007, Child development.

[78]  Margaret Wilson,et al.  Six views of embodied cognition , 2002, Psychonomic bulletin & review.

[79]  Masaki Ogino,et al.  Cognitive Developmental Robotics: A Survey , 2009, IEEE Transactions on Autonomous Mental Development.

[80]  S. Goldin-Meadow,et al.  The Role of Gesture in Learning: Do Children Use Their Hands to Change Their Minds? , 2006 .

[81]  Sharlene D. Newman,et al.  You Can Count on Your Fingers: The Role of Fingers in Early Mathematical Development , 2018, J. Numer. Cogn..

[82]  Korbinian Moeller,et al.  Effects of Finger Counting on Numerical Development – The Opposing Views of Neurocognition and Mathematics Education , 2011, Front. Psychology.