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Indexed under : Mathematics

Wikenigma - an Encyclopedia of Unknowns Wikenigma - an Encyclopedia of the Unknown

Neural Networks

“Multilayer neural networks are among the most powerful models in machine learning, yet the fundamental reasons for this success defy mathematical understanding.”

Source : Proceedings of the National Academy of Sciences open access2018 115 (33)

'Artificial Intelligence' (AI) systems predominantly use Neural Networks to achieve their 'Machine Learning' capability. However :

No underlying principle has guided the design of these learning systems, other than vague inspiration drawn from the architecture of the brain (and no one really understands how that operates either).“

Source : Quanta Magazine Sept. 2017

A theory known as the 'Information Bottleneck Method' which was first proposed in 1999, is currently being evaluated as a possible explanation - but as yet there is no general agreement on how the networks operate.

A further complication is that the 'back propagation' technique which artificial neural nets use doesn't have a direct equivalent in biological neural nets. Biological neural nets have however been shown to locally back-propagate their electrical action potentials. The function(s) of this phenomenon is also currently unexplained.

While there is ample evidence to prove the existence of backpropagating action potentials, the function of such action potentials and the extent to which they invade the most distal dendrites remains highly controversial.”

Source :Wikipedia

Instability

Neural networks are notoriously unstable. For example, systems which have been 'trained' to recognise images, and which operate with extreme efficiency most of the time, will occasionally completely misinterpret an image and give an erroneous result. The reasons for such profound instabilities - called, in AI jargon 'Hallucinations' - are currently unknown.

Utilisation

Given all the above, it follows that technical systems which are strongly based around neural networks tend to work in ways which the designers don't fully understand. For an overview regarding current AI systems, particularly Large Language Models (LLMs) see Scientific American May, 2023.


Editor's note: This is a another example of a modern man-made technological system which clearly works, but that no-one as yet understands. Also see : Lithium-ion batteriesplugin-autotooltip__plain plugin-autotooltip_bigLithium-ion batteries

functionality_unexplained

"Although lithium ion batteries are considered as system of choice for variety of mobile and stationary applications, fundamental knowledge is alarmingly required to uncover the underlying principles controlling the bas…
and Defibrillationplugin-autotooltip__plain plugin-autotooltip_bigDefibrillation

functionality_unexplained

Since the 1960s, electrical heart defibrillators have been routinely used as a treatment for life-threatening cardiac dysrhythmias, especially ventricular fibrillation.

The defibrillators' exact mechanism of action is yet to b…
and High Temperature Superconductivityplugin-autotooltip__plain plugin-autotooltip_bigHigh Temperature Superconductivity

functionality_unexplained

The first 'high-temperature' (defined as above --196.2°C) superconductor was discovered in 1986 by IBM researchers Karl Müller and Johannes Bednorz - for which they were awarded the Nobel Prize in Physics in…

(Note there are many examples of man-made medicines which work in as-yet-unexplained ways - see the medicine / drugs section for examples.)

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