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The Mathematics of Artificial Intelligence (2022)

arxiv.org

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Re: The Mathematics of Artificial Intelligence (2022)

#11

Post by kriro »

paskozdilar wrote: post #8
mg wrote: post #4

After a cursory glance, my feeling is that "The Mathematics of Neuronal Networks" would be a better title? In recent years, the term "Artificial Intelligence" is often used instead of "Neuronal Networks". I wouldn't be surprised if this will change again. If there is evidence that it will not and Neuronal Networks are for some reason the optimal medium for intelligence, I would love to read about it.

This is a very good point. To anyone interested in what Artificial Intelligence looked like before neural networks, the "Artificial Intelligence - A Modern Approach" by Stuart Russell and Peter Norvig is a good book on the subject.

Agreed. I was teaching from it (AI 101, search/agents, no ML) and it's possibly the best textbook I have encountered. It's structured very well.

As an aside, I will forever remember the rough geography of Romania. I still plan to do an A* route visit of the country some day :D

Re: The Mathematics of Artificial Intelligence (2022)

#12

Post by pa7x1 »

melling wrote: post #2

I’m on Chapter 4 of the Mathematics for Machine Learning. Enjoying it so far: https://mml-book.github.io/ After learning the math, which machine learning books come next?

If you are looking to have a mathematical understanding of the field then I really enjoyed "Understanding Machine Learning: From Theory to Algorithms" by Shalev-Shwartz and Ben-David.

Re: The Mathematics of Artificial Intelligence (2022)

#15

Post by mdp2021 »

mg wrote: post #4

After a cursory glance, my feeling is that "The Mathematics of Neuronal Networks" would be a better title? In recent years, the term "Artificial Intelligence" is often used instead of "Neuronal Networks". I wouldn't be surprised if this will change again. If there is evidence that it will not and Neuronal Networks are for some reason the optimal medium for intelligence, I would love to read about it.

> Neuronal Networks are for some reason the optimal medium for intelligence

No, that's not the same 'intelligence' ("General Intelligence") as the "I" side in Artificial Intelligence.

The term 'intelligence' applied to Artificial Neural Networks makes sense, as such: to reach a procedural solution it takes an engineer; the engineer is said to have reached the solution because "intelligent"; ANNs are (semi-)automated builders of function approximators; ANNs are said "intelligent" because they "reach solutions" (like the engineer would have done - "approximator":"engineer"="Artificial":"Natural" Intelligence). And of course they are not "intelligent", while they are in some sense. It's just an expression, it's rhetoric (it requires considerate interpretation).

That some sort of "intelligence" is achievable in other ways, or that ANNs spawn as an idea from anatomical considerations of naturally intelligent entities, or that ANNs could help in modelling general intelligence (etc.), is tangential.

Re: The Mathematics of Artificial Intelligence (2022)

#16

Post by mdp2021 »

WithinReason wrote: post #14

Is it correct to use "we" if there is only one author?

A form of "plural majestatis" which paradoxically implies that the individual author has only relative importance

(«paradoxically» as the majestas itself is founded on representing something higher, not of some high status of the individual which happens to be endowed - it may sound like boasting but on the contrary it would be a downplay of the individual).

In other contexts, that "we" can have even more foundations: "I could never have done this without the work of others", "Not just me but all those who think alike" etc.

Re: The Mathematics of Artificial Intelligence (2022)

#17

Post by mdp2021 »

Sirenos wrote: post #13
ThereIsNoWorry wrote: post #5

I finished my studies in CS less than a year ago. Nothing about this paper is new, but it gives a quick overview.

No need to be snarky. It could be new for someone just getting into the field.

The poster probably only meant to convey that the article is compilative (a summary, as opposed to new research) for those who are up to date.

Re: The Mathematics of Artificial Intelligence (2022)

#19

Post by mdp2021 »

mellosouls wrote: post #9

Let L(uy,y) = fy denote a parametric partial differential equation with y being a parameter from a high-dimensional parameter space Y ⊆ Rp and uy the associated solution in a Hilbert space H. After a high-fidelity discretization... These AI folks are clearly very clever, but they don't actually believe that's got anything to do with how human thinking works, right?

Research on natural intelligence or general intelligence presents itself as such.

Re: The Mathematics of Artificial Intelligence (2022)

#20

Post by mellosouls »

mdp2021 wrote: post #19
mellosouls wrote: post #9

Let L(uy,y) = fy denote a parametric partial differential equation with y being a parameter from a high-dimensional parameter space Y ⊆ Rp and uy the associated solution in a Hilbert space H. After a high-fidelity discretization... These AI folks are clearly very clever, but they don't actually believe that's got anything to do with how human thinking works, right?

Research on natural intelligence or general intelligence presents itself as such.

AI leaders occasionally seem to pontificate on AGI, yet it's difficult for a layperson like me to see how their expertise (as seen in publications like this) translates.
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