Theoretical questions about Artificial Intelligence

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Graph Propagation Times

Consider the following simple rule for propagation: given a (for simplicity) grid $G$ of size $nxm$ containing integers, and set of starts $s = S_i, s_x, s_y\in \{ 0, 1, 2, 3, ...\}, s_x < n, s_y ...
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36 views

Eioknal Equation solver with different grid densities

The Fast Marching Method, Fast Iterative Method, and Fast Sweeping Method are three ways of solving the Eikonal Equation on a discrete grid, essentially just a wavefront spreading out from initial ...
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68 views

Representation of procedural knowledge

I know that knowledge about relationships between things can be represented using ontologies and stored in some sort of file or database system. Can a network of procedural knowledge also be created ...
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114 views

Exploring a DFA, with no feedback

Let $M=(\Sigma,S,s_0,\delta)$ be an (unknown) deterministic finite-state automaton (DFA), with alphabet $\Sigma$, statespace $S$, start state $s_0 \in S$, and transition relation $\delta$. I want to ...
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1answer
128 views

Mapping input and output sequences using neural networks in high dimensional data

I have this huge dimensional data with 31200 features and only 6000 examples. I want to learn a neural network that can find the non linear relation between the input and outputs. However, I have ...
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1answer
114 views

What exactly is a search space? [closed]

I am new to CS so excuse my question if it seems very rudimentary. I just want to make sure I understand the terminology 100% correct as I go along. Is a "search space" the total amount of all the ...
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2answers
195 views

AI strategies for losing positions

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 ...
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3answers
290 views

Algorithm Suggestion for Scoring System - weighted solution

I'm trying to validate a series of words that are provided by users. I'm trying to come up with a scoring system that will determine the likelihood that the series of words are indeed valid words. ...
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1answer
295 views

Is $\mathsf{P} = \mathsf{NP}$ relative to a universal predictor?

Consider any language $L$. Define $s(L) \in {\lbrace 0, 1 \rbrace}^\omega$ (an infinite sequence of bits) by the recursive formula $$s(L)_n=\chi_L(s(L)_{<n})$$ Here $\chi_L$ is the characteristic ...
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1answer
1k views

Developing A Perfect Tic-Tac-Toe Player - AI [closed]

I'm interested in AI as an area to study on in MSc. I don't have much prior knowledge. So, I decided to develop an AI that plays Tic-Tac-Toe perfectly, as an introduction. I've made some progress that ...
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98 views

When to apply soft constraints evaluation functions in genetic algorithms?

As stated in the question, say i created a random population of 100 timetables. 1 % of these timetables are valid. Then, if I apply the soft constraints evaluation functions on the 1% valid ...
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152 views

Can Turing Machine implements Strong AI? [closed]

It has been proved that a Turing Machine cannot solve the halting problem, but is it (being able to solve the halting problem) really necessary for implementing Strong AI ? We human can understand ...
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3answers
4k views

To what extent is “advanced mathematics” needed/useful in A.I. research?

I am currently studying mathematics. However, I don't think I want to become a professional mathematician in the future. I am thinking of applying my knowledge of mathematics to do research in ...
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1answer
244 views

Self-organizing maps algorithm(Kohonen networks)

In self-organizing maps(SOM) algorithm described here it is said about the weights of nodes and data items. If using this algorithm for sine function approximation given a few points are the nodes - ...
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1answer
207 views

Which algorithm for a project about online machine learning?

I have a basic understanding of how machine learning works, but my knowledge isn't enough in order to develop a personal project I would like to start. I want to develop a system based on online ...
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622 views

Ultimate Jedi Challenge - Multiarmed Bandit / Reinforcment Learning / advanced AI problem

(This is an attempt to reformulate this question more concisely.) Context You are a Jedi master who wants to prepare a training program (online-algorithm) for his apprentice, "Luke". Luke needs to ...
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3answers
263 views

Complexity of universal computation on random input

This post is a refinement of a previous question which turned out to be trivial It is also related to another previous question Motivation: A property commonly ascribed to artificial intelligence is ...
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1answer
131 views

Average performance of universal computation

This post is related to my previous question but takes a different angle There are several related questions in here Consider an input-less algorithm $A$ generated randomly using a prefix-free ...
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2answers
442 views

Efficient universal problem solver?

Define a "problem" to be an algorithm $A$ accepting a natural number and returning 0 or 1 which returns $1$ on at least one $n \in \mathbb{N}$. Any such $n$ is called a "solution" to $A$ Define a ...
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1answer
125 views

Logic programming with integer or even floating point domains

I am reading a lot about logic programming - ASP (Answer Set Programming) is one example or this. They (logic programs) are usually in the form: [Program 1] Rule1: a <- a1, a2, ..., not am, am+1; ...
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2answers
328 views

Accuracy rate in neural networks

I've implemented a neural network (using the back-propagation algorithm) in a digital marketing application, where the algorithm classifies words according to quality, price and another ...
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1answer
160 views

Theoretical proof of convergence of sequential weight update procedure (Neural Networks and Machine Learning)

My question is at the bottom. (Most of the descriptive words come from Chris. Bishop's Neural Networks for Pattern Recognition) let $w$ be the weight vector of the neural network and $E$ the error ...
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1answer
173 views

Error in the book Artificial Intellingence Modern Approach (at Un-informed search)? [closed]

Please let me know if this is not appropriate question to ask here (I hope not but afraid since this isn't really theoretical question). In the book "Artificial Intelligence Modern Approach" ...
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161 views

Computational power of cellular neural networks

A cellular neural network is a kind of recurrent neural network that could be thought of as a hybrid between neural nets and cellular automata. As I understand it, the classic Chua-Yang CNN is ...
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1answer
213 views

What is the most Accurate way of Determining an Object's Color? [closed]

I have written a computer program that can detect coins in a static image (.jpeg, .png, etc.) using some standard techniques for computer vision (Gaussian Blur, thresholding, Hough-Transform etc.). ...
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493 views

What are some examples of sequential-decision tasks?

I ask this because I'm currently learning about Neural Networks as a subset of the machine learning algorithms Just trying to get some intuition on what sort of problems out there are categorized as ...
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237 views

Are there any well known algorithms for synthetic handwriting?

Please excuse if this is too practical. I decided it was not technical enough for stack overflow and probably suitable for here. Given a set of letters, A-Z, what is the best scalable way to ...
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941 views

Why is Bayesian filtering better than Neural Networks when classifying spam?

According to several people on StackOverflow Bayesian filtering is better than Neural Networks for detecting spam. According to the literature I've read that shouldn't be the case. Please explain!
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177 views

AI or not an AI [closed]

What truely classifies a AI? IN science fiction they are thes super smart programs that usually try taking over the world. In the programming world i hear about AI for enemies in games or stuff along ...
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170 views

Fuzzy K-modes clustering how to find the cluster centers

I'm trying to understand [fuzzy k-modes][1] algorithm (look mainly at page 3) in order to implement it. I'm stuck at the calculation of cluster centers they said as shown in the link ...
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3answers
417 views

Formalizing a notion of machine Intelligence

Turing test of Artificial intelligence relies on interaction between two parties with the goal that one party convinces the other party that it has the same computational abilities. I'm trying to ...
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2answers
360 views

Genetic Algorithm to Draw a Graph? Position assignment problem

I have an assignment problem at hand and am wondering how suitable it would be to apply local search techniques to reach a desirable solution (the search space is quite large). I have a directed ...
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47 views

What Fuzzy techniques can combine conflicting quantified data?

I have been reading Fuzzy Belief Revision and trying to determine how the methods could be used to combine readings from conflicting sensors. For example, if one sensor reads 70 degrees and another ...
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1answer
116 views

Are there Belief Revision techniques for quantified data?

Are there Belief Revision techniques that aren't based solely in formal logic propositions? For example, if one agent believes the temperature for an area is 85 degrees and another believes the ...
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2answers
296 views

Support Vector Machines

What is it the relationship between the number of support vectors in an SVM and its generalization ability? When lots of support vectors are used to classify, is the error rate minimized, but only to ...
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181 views

Natural Language Processing. Where to start? [closed]

Natural Language Processing is an area which interests me. I know little about it and I'm hoping somebody can suggest a starting point. Basically I'd like to develop a search algorithm specific for ...
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3answers
347 views

Applications of MCTS/UCT

MCTS/UCT is a game tree search method that uses a bandit algorithm to select promising nodes to explore. Games are played to their completion randomly and nodes leading to more wins are explored more ...
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1k views

Finding the distance between two polynomials (represented as trees)

A colleague who works on genetic programming asked me the following question. I first tried to solve it based on a greedy approach, but on a second thought, I found a counterexample to the greedy ...
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239 views

Duration Viterbi Algorithm

I am searching for some good resources to understand the Duration Viterbi algorithm. Does anyone knows a good resource to understand and learn how to model a Duration Viterbi Hidden Markov Chain ...
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212 views

Practical applications of the Theory of Equality with Uninterpreted Functions (EUF)

In these days I'm reading the book Decision Procedures - An Algorithmic Point of View. Chapters 3 and 4 deal with the Theory of Equality with Uninterpreted Functions (EUF). The authors give 3 toy ...
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1answer
816 views

Find sentences with similar relative meaning from a list of sentences against an example one

I want to be able to find sentences with the same meaning. I have a query sentence, and a long list of millions of other sentences. Sentences are words, or a special type of word called a symbol which ...
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4answers
519 views

Human intelligence and algorithms

Have there been any studies to determine whether human intelligence can outperform algorithms (i.e. test whether the No Free Lunch Theorem applies to human intelligence)? Along the same lines, has ...
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3answers
369 views

Semantic distance between excerpts of text.

I'm wondering how far along the natural language processing is in determining the semantic distance between two excerpts of text. For instance, consider the following phrases Early this morning I ...
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3answers
1k views

Consequences of #P = FP

Which would be the consequences of #P = FP? I'm interested in both practical and theoretical consequences. From a practical point of view, I'm particularly interested in consequences on Artificial ...
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398 views

Using SAT for Computer Vision tasks

Could anyone please point to both introductory and advanced papers/books showing how to use SAT technology to solve Computer Vision tasks (e.g. edge detection, object recognition, facial recognition, ...
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1answer
413 views

What does “number of inputs to each neuron” mean in Neural Network terms?

I am reading about a Neural Networks project that has some data like this I am new to this, and though I think I understand what a 3:1 network mean, I do not understand what number of inputs (to ...
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11answers
2k views

What are some real world applications for genetic algorithms?

What are some real world problems that have been solved using a genetic algorithm? What is the problem? What is the fitness test used to solve this problem?
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5answers
614 views

What are good references on understanding online learning?

Specifically, I'm asking for resources to learn about machine learning systems that can update their respective belief networks (or equivalent) during operation. I've even run across a few, though I ...