All Questions
Tagged with machine-learning soft-question
10
questions
52
votes
1
answer
8k
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What mathematical problems can be attacked using DeepMind's recent mathematical breakthroughs?
I am a research mathematician at a university in the United States. My training is in pure mathematics (geometry). However, for the past couple of months, I have been supervising some computer science ...
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56
votes
10
answers
8k
views
A clear map of mathematical approaches to Artificial Intelligence
I have recently become interested in Machine Learning and AI as a student of theoretical physics and mathematics, and have gone through some of the recommended resources dealing with statistical ...
8
votes
1
answer
546
views
Geometric formulation of the subject of machine learning
Question:
what is the geometric interpretation of the subject of machine learning and/or deep learning?
Being "forced" to have a closer look at the subject, I have the impression that it ...
- 12.8k
6
votes
0
answers
279
views
Mathematical questions or areas amenable to AI [duplicate]
This question regards the new paper "Advancing mathematics by guiding human intuition with AI" by Davies et al. (Nature, 2021) (DOI link in open access) in which researchers at Deepmind ...
28
votes
1
answer
2k
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Conjectures inspired by AI
Today in Nature a paper described how AI guided mathematicians to make highly non-trivial conjectures, which they managed to prove, one in Knot Theory involving a new invariant, the other in ...
17
votes
3
answers
2k
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Theoretical results on neural networks
With this question I'd like to have a recollection of theoretical rigorous results on neural networks.
I'd like to have results that have been settled, as opposed to hypothesis. As an example, this ...
1
vote
0
answers
136
views
Continuous decomposition of permutation-invariant set functions
The seminal machine learning paper Deep Sets (Zaheer et al., 2017) discusses representations of permutation-invariant functions on real tuples, or (multi)set functions.
Given a countable set $X$ and a ...
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91
votes
11
answers
14k
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What are possible applications of deep learning to research mathematics?
With no doubt everyone here has heard of deep learning, even if they don't know what it is or what it is good for. I myself am a former mathematician turned data scientist who is quite interested in ...
0
votes
0
answers
431
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Artificial intelligence simulating mathematicians (what a distopia!)
This is kind of soft and naive question, so feel free to shame on me :)
I start from the fact that, in my opinion, what humans are interested in about mathematics are things that we find deep and ...
- 1,954
13
votes
2
answers
679
views
Reference Request: Theoretical Mixing Times Research in Machine Learning / Artificial Intelligence (AI)
I'm doing a PhD in probability theory, focusing mostly on mixing times. It's a pure maths PhD, considering precise models and showing rigorous mixing results. I'm also interested in stuff like machine ...
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