For questions about artificial intelligence.

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3
votes
1answer
155 views

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, ...
0
votes
1answer
12 views

Classification cost in growing a classification tree

This question is based in machine learning, but is heavily mathematic so I am posting here. This equation is used to estimate the class conditional probabilities of a certain leaf of data D in a ...
2
votes
0answers
385 views

Modern mathematical theory on Neural Networks, Cellular Automata, Neuroscience

Is it possible for someone to do research on Neural Networks/Cellular Automaton/Neuroscience as an applied mathematician, for its theoretical development, especially based on some modern mathematics, ...
1
vote
1answer
214 views

Gradient descent/ nonlinear optimization intuition needed

all. I'm taking an introductory AI class, and we're using the gradient descent algorithm to find the optimized/ lowest cost of a set of thetas (variable coefficients) to best fit a regression line. In ...
2
votes
2answers
728 views

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 ...
5
votes
1answer
105 views

AI strategies for losing positions [closed]

I have a card game that I am analyzing with Maple. Actually, it's a series of card games, one for every parameter k, where k is a natural number (representing the number of ranks of cards used in the ...
1
vote
1answer
2k views

Ranked Preference Matching Algorithm

first dropping the link that will serve as reference: NRMP Residency Matching I have a sort of side project (nothing riding on it, computational performance not an issue, so feel free to go wild, I ...
2
votes
1answer
66 views

Boolean Algebra Question

my problem is ,Please give the algorithm: how can rewrite an arbitrary propositional formula alfa(α) into a proposional formula beta(β) so that beta does not contain disjunction(∧) and alfa ...
23
votes
3answers
1k views

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 ...
1
vote
2answers
167 views

Some Questions About Chess

I have to questions about the chess game: please help me to understand it. 1- How can a computer program know if this move or that move is better? It calculates all possbile continuation and examine? ...
3
votes
1answer
157 views

i,j,k values of the theta matrix in neural networks

SO I'm looking at these two neural networks and walking through how the ijk values of Theta correspond to the layer, the node number, and either there are redundant values or I'm missing how the ...
10
votes
2answers
764 views

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 ...
1
vote
4answers
426 views

Which books /tutorials will be good for these topics for AI computer science student

I have found from the internet that I need to know these topics for understanding Artificial Intelligence: Matrix algebra: most machine learning models are represented as matrices and vectors. ...
4
votes
1answer
656 views

Recursively Solving a Bellman Equation

Problem Overview I am to figure out $v_\pi$ of a certain Markov state. Given Information A set of actions, $a$ containing ${up, down, left, right}$ $v_\pi(12), v_\pi(13), v_\pi(14)$ (I am given ...
2
votes
1answer
338 views

Books on AI, programming, optimization

I'm studying math (just started) and I like programming as well (just started this too), is there a career or a branch of research including deep aspect of this two aspects? Is there someone among you ...
11
votes
4answers
2k views

Mathematics base for data mining and artificial intelligence algorithms. [closed]

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 ...
0
votes
2answers
142 views

Memory of a neural network: is it forever?

As far as I remember a neural network cannot forget anything. Does this mean that no matters how evolved the network is, it's always going to throw me back the right output if I feed it an input? And ...
8
votes
2answers
16k views

Euclidean & Manhattan Distance

I have a practice problem that I am working on (artificial intelligence), but am unable to calculate the Euclidean and Manhattan distances by hand using the following values: ...
4
votes
3answers
710 views

First order logic.

In Artificial intelligence, I saw the following question and answer in website. Question: Politicians can fool some people all of the time, and they can fool all people some of the time, ...
2
votes
3answers
206 views

Games with human edge [closed]

Which are some two- or one-player games, where humans far outperforms the best computer programs? And how does the relative edge scale with time allowed to think? (In time frame 1 sec to 8 hours per ...
2
votes
1answer
326 views

Markov Decision Process - Utility Function

Reward R(S) in a Markov Decision Process is a mapping from a State S -> Bounded number. I want to know how a Utility Function is defined for an MDP. I think it has to be a mapping from a sequence of ...
1
vote
1answer
933 views

Propositional Logic. Algorithm for Deciding Entailment [closed]

I start studying artificial intelligence and logic. There are many things I do not know. Reading about inference I found that a Knowledge Base KB entails a sentence a if and only if a is true in ...
6
votes
1answer
1k views

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 ...