In the following analysis, a machine learning challenge is proposed by Sasha Kolpakov, Managing Editor of the Journal of Experimental Mathematics, and myself to verify a strong form of the Manifold Hypothesis due to Yoshua Bengio. Motivation: In the Deep Learning book, Ian Goodfellow, Yoshua Bengio and Aaron Courville credit...
Motivation: Before the Pandemic of 2020, I had a number of constructive discussions with several neuroscientists including Konrad Körding, a computational neuroscientist and pioneer exploring connections between deep learning and human learning, and Alex Gomez-Marin, an expert on behavioural neuroscience, on the hypothetical boundary between Human and Machine Learning. One...
Motivation: In 1970, Andrey Kolmogorov presented a remarkable vision for the combinatorial foundations of probability theory at the International Congress of Mathematicians in Nice which anticipates the modern development of Artificial Intelligence: > Using his brain, as given by the Lord, a mathematician may not be interested in the combinatorial...