Mathematics Stack Exchange
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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."

231 questions
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Back propagation equation proof

I am trying to prove this equation (from the backpropagation equations in AI). $$\frac{\partial C}{\partial b_j^l} = \delta_j^l$$ C is the cost function: $C = \frac{1}{2}||y - a^L||^2$ Where the output of layer l and neuron j is express like so…
Unepierre
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min max algorithm in Artificial Intelligence

How to understand the meaning of the image in Artificial Intelligence book in chapter 5?
shizhouhu
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ReLU on a feature map

I have produced a feature map, that is 5x3, of a input layer which was 5x7. I have obtained "2:s" and "3:s" and also one "1". The aim is now to use the ReLU neuron on this. My supervisor said that ReLU of 2 is equal to 1. I use the definition as…
GAUSS
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Artificial intelligence - Search algorithm from coordinates

Assume that we have have this grid with coordinates. We start at 0.0 (it's actully 0,0 but my Libre Office cannot handle 0,0 due to my settings) and we want to go to -3.10 Is there any search algorithm for this type of problem? Start position and…
euraad
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Convert sentence into First order predicate logic.

a) rabin likes only CSit Course b)science course are hard. c)all courses in CSIT are easy d)CSC 101 is a csit course.
Daily Observations
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Determine the concentration and normalization of a fuzzy set

Could you help determine this? Concentration and Normalization of a Fuzzy set $A$ as given below: $A =$ {$\text {car I }0.5,\text{ truck I }0.9,\text{ bus I }0.7,\text{ scooter }10,\text{ bike I }0.2$} Regards
Animesh Acharya
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Transform a wff to a prenex normal form

Could you help solve this problem. I need to convert the following wff to a PNF ∀x(L(x)->∃x M(x,y)) I do not understand how universal quantifier and existential quantifier on same variable operate. Scope of ∀x includes ∃x M(x,y) too. Thanks to help
Animesh Acharya
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A* tree search at the start node and goal node

I want to know if i'm understand the idea behind A* tree search correctly. My understanding is that the path is given by: $f(n) = g(n) + h(n)$ and that $h(n) \leqslant h^*(n)$ Where $g(n)$ is the cost from start node to node n, $h(n)$ is the…
Ghazal
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