Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [artificial-intelligence]

For questions about artificial intelligence, the intelligence of machines and robots and the branch of computer science that aims to create it.

Artificial intelligence (AI) is the intelligence of machines and robots and the branch of computer science that aims to create it. AI textbooks define the field as "the study and design of intelligent agents"where an intelligent agent is a system that perceives its environment and takes actions that maximize its chances of success. John McCarthy, who coined the term in 1955, defines it as "the science and engineering of making intelligent machines."

235 questions
36
votes
3 answers

Mathematical preparation for postgraduate studies in Linguistics

I am an undergraduate student in Mathematics and I would like to continue my postgraduate studies in the harder, more mathematical aspects of Linguistics. What exactly would that include is unknown even to me, but possible areas of interest would…
Orest Xherija
  • 1,079
21
votes
4 answers

What areas of math can be tackled by artificial intelligence?

Artificial intelligence is nearing, with image/speech recognition, chess/go engines etc. My question is, what areas of math that are interesting to mathematicians, is likely to be the first to be able to be tackled by artificial intelligence? Is…
badmf
  • 390
19
votes
2 answers

Applications of Differential Geometry in Artificial Intelligence

I am new to this wonderful site. I searched around a bit but I couldn't find any well-discussed posts on applications of differential geometry to artificial intelligence, or more generally to computer science. I came across Riemannian Geometry a few…
user3046045
  • 193
12
votes
4 answers

Mathematics base for data mining and artificial intelligence algorithms.

Could you give me some clarification about data mining and artificial intelligence algorithms? What mathematics base they used for? Could you give me starting point, in mathematics, to understand these types of algorithms?
Dmitry Zagorulkin
  • 261
11
votes
1 answer

Category Theory & Artificial Intelligence (AI)

Category theory turns out to be useful in more and more areas. (see e.g. MSE - Category Theory & Biology) Question. Does anyeone know of some connection of category theory to (convolutional) neural networks (CNNs) / deep learning (or to machine…
FWE
  • 1,915
10
votes
4 answers

Application of computers in higher mathematics

Currently the main application of computers in mathematics seems to be to compute things, i.e. to solve equations, evaluate integrals, etc. It is at all possible to delegate the thinking of a mathematician to a computer, such that a computer can…
please delete me
  • 1,201
10
votes
0 answers

Algebra & Artificial Intelligence (AI)

Artificial intelligence, especially deep learning & neural networks for image processing and classfication, are related to statistics and physics e.g. as decribed in below papers. Statistics and AI Simoncelli + Olshausen.Natural images statistics…
FWE
  • 1,915
10
votes
2 answers

What would be the shortest path between 2 points when there are objects obstructing the straight path?

How would an algorithm find the shortest distance between 2 points on a horizontal 2d plane , especially when a straight path is not possible? Could it be something on the lines of calculating least displacement from the straight path?
Ghost
  • 759
9
votes
3 answers

What Maths are the most important for Artificial Intelligence?

I am just curious about this. Please don't include anything about programming.
Mr.Young
  • 485
9
votes
1 answer

What about Genetic Algorithms from a mathematical point of view?

Last year I've attended an Artificial Intelligence course (it was very simple, just a summary of the main ideas); we've seen what a genetic algorithm is and the idea seems very interesting to me. Now I must plan what courses will I attend during my…
Immanuel Weihnachten
  • 1,896
7
votes
2 answers

Some doubts about the differences between logic implication and inference rule

I am studying for an Artificial Inteligence university exam that includes a section dedicated to mathematical logic. I am finding some difficulty in understanding the difference between logical implication and inference rules in logic. For example…
AndreaNobili
  • 269
6
votes
1 answer

Mathematics in cognitive sciences

Which areas of Maths can be formally studied in a cognitive sc major? Or: which areas of maths can support the study of brain. Some areas that seem relevant would be: mathematical logic, graph theory, linear algebra. Is any element of topology…
Zeph
6
votes
2 answers

What aspects of convex optimization are used in artificial intelligence, if any?

I work on convex optimization with Stephen Boyd & Lieven Vandenberghe's book. As an example, support vector machines are mentioned as an application of the separating hyperplanes theorem. I am wondering if there is any other application of convex…
cvxloverloser
  • 203
5
votes
2 answers

What is the sigmoid *squashing* function?

I've just read the following The basic unit ("neuron" i) performs the following computation to update its state $y_i$: it computes a weighted sum $v_i$ of its inputs $x:j$ which is passed through a sigmoid squashing function $g ( \cdot…
Martin Thoma
  • 10,157
5
votes
1 answer

Convert a WFF to Clausal Form

I'm given the following question: Convert the following WFF into clausal form: \begin{equation*} \forall(X)(q(X)\to(\exists(Y)(\neg(p(X,Y)\vee r(X,Y))\to h(X,Y))\wedge f(X))) \end{equation*} This is what I've gotten so far, but I'm not confident…
Mirrana
  • 9,299
1
2 3
…
15 16