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Questions tagged [math]

For questions about mathematics related to artificial intelligence.

2
votes
1answer
38 views

Reinforcement Learning n-step return

when reading the newest v2 of Sutton + Barto Reinforcement Learning, in Ch7 section 1 about N-step bootsrapping, they write about something they call the "n-step return error reduction property": But ...
-1
votes
1answer
33 views

When will we have computer programs that can compose mathematical proofs?

When will it be possible to give a computer program a bunch of assumptions and ask it if a certain statement is true or false, giving a proof or a counterexample respectively?
0
votes
1answer
49 views

Is the parent cost in A* added in every extended child?

How do we determine the cost of the parent path to its child in A* ("A star") search?
0
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0answers
6 views

Suitable reformulation of feature vector wherein the dimensions mismatch (one of them is a matrix and the other a repeated vector)

I have a set of $N=5000$ matrices of $\mathbb{R}^{64\times 64}$, whose entries are drawn from $x \in \{0,0.5,1\}$. We can visualise Matrix $M_1$ as Corresponding to this matrix $M_1$ and a vector ...
1
vote
0answers
134 views

Solving equations using reinforcement learning

I was lately curious about a reinforcement learning approach that would solve maths equations. For example, if I have the following equation: $$ f(g(h(w))) = 0 , with \ w = \begin{matrix} a_{11} &...
1
vote
0answers
33 views

What are the skills and disciplines I need to learn to get a job in Artificial Intelligence?

I'm in high school but hoping to have a career in artificial intelligence. What should I be pursuing educationally to get into this field?
1
vote
1answer
63 views

Reward-related formulation in reinforcement learning

I am referring to eq. 3.6 (p/g 49) based on Sutton's online book and can be found in an image below. I could not make sense of the final derivation of the equation $r(s, a, s')$. My question is ...
5
votes
3answers
121 views

Applied Math relevant to AI

My background is in electrical engineering (BS, MS EE/Signal Processing) and I have a good grasp of CS foundations (Data Structures, Algorithms, OS, Discrete Math) and software engineering. I have ...
3
votes
2answers
218 views

Is known math really enough for AI

As an Electronics & Communication Engineering student I've heard some stories and theories about "The math we have is not enough to complete a thinker-learner AI." What is the truth? Is humankind ...
1
vote
1answer
30 views

Weight Normalization paper

I am trying to dissect paper about weight normalization: https://papers.nips.cc/paper/6114-weight-normalization-a-simple-reparameterization-to-accelerate-training-of-deep-neural-networks.pdf ...
5
votes
1answer
74 views

What are the algebraic properties of intelligence?

Some have said, "Two heads are better than one." That's true if they are collaborating. If not, the two together may be worse than zero. Although that's a rhetorical opening paragraph, this is a ...
3
votes
2answers
410 views

Why is the derivative 0 if the policy is deterministic?

In the Berkeley RL class they mention the gradient would be 0 if the policy is deterministic. Why is that? https://www.youtube.com/watch?v=XGmd3wcyDg8&feature=youtu.be&t=1071
5
votes
1answer
60 views

What makes multi-layer neural networks be able to perform nonlinear operations?

As I know, a single layer neural network can only do linear operations, but multilayered ones can. Alao I recently learned that finite matrices/tensors, which are used in many neural networks can ...
3
votes
2answers
70 views

Are there any discount-factors based on branching factors?

I recently came across this function: $$\sum_{t = 0}^{\infty} \gamma^t R_t.$$ It's elegant and looks to be useful in the type of deterministic, perfect-information, finite models I'm working with. ...
1
vote
0answers
26 views

Optimization step in Apprenticeship Learning via Inverse Reinforcement Learning

Why the optimization step of the algorithm a quadratic program? [See: Apprenticeship Learning via Inverse Reinforcement Learning; page 3] Isn't the objective function linear? Why don't we treat ...
10
votes
4answers
621 views

Can deep networks be trained to prove theorems?

Assume we have a large number of proofs in first order predicate calculus. Assume we also have the axioms, corollaries, and theorems in that area of mathematics in that form too. Consider the each ...
7
votes
3answers
198 views

Mathematics for AI researcher

What are the mathematical prerequisites for understanding the core part of the algorithms in artificial intelligence and developing own algorithm? Please refer me the specific books.
3
votes
1answer
91 views

Mathematical modelling of A.I algorithms

How does one even begin to mathematically model an A.I algorithm like alpha-beta pruning or even its thousands of variations, to determine which variation is best?
1
vote
0answers
22 views

Simple question about HS algorithm's formul(Optical flow)

In the below pic, I can not understand what U vector is? It says flow field but I can not imagie what really is the flow field?
1
vote
0answers
67 views

How does this sigma work?(Harris algorithm) [closed]

May someone explains some first iterations of this sigma? Also, how did it convert the above expression to below expression? What it the meaning of I(x) and I(y)?
10
votes
2answers
209 views

Is there any scientific/mathematical argument that prevents deep learning from ever producing strong AI?

I read Judea Pearl's The Book of Why, in which he mentions that deep learning is just a glorified curve fitting technology, and will not be able to produce human-like intelligence. From his book ...
3
votes
1answer
86 views

Defining formula for fuzzy equation

I'm learning fuzzy logic and more or less understand the basic concept, but i'm having a hard time understanding how to apply it to a method. I tried browsing online for explanation on how to use it, ...
0
votes
0answers
42 views

Back propagation in NN with sigmoid activation function - division by 0

I am following this article Mind: How to Build a Neural Network (Part One) to build 'hello world' in the world of neural networks - XOR. During the back-propagation phase author calculates changes in ...
3
votes
5answers
2k views

What are the mathematical prerequisites to be able to study general artificial intelligence?

What are the mathematical prerequisites to be able to study general artificial intelligence (AI) or strong AI?
2
votes
0answers
305 views

How to calculate gradient of filter in convolution network

I have similar architecture like in image:CNN. I don't understand how to calculate gradient of filter F. I found these equations(source): Gradient and delta, where first equation calculate gradient ...
2
votes
3answers
88 views

Cost Function Question

I have completed week 1 of Andrew Ngs course and I understand that the cost function for linear regression is defined as J (theta0,theta1) = 1/2m*sum (h(x)-y)^2 and the h is defined as h(x) = theta0 + ...
1
vote
1answer
42 views

Please explain this “log probability function”? What does each part mean?

Can anyone explain what information the formula gives us. What does the notations mean? Where i can find more material about what does the log probability function do?
3
votes
1answer
93 views

K-Armed Bandit and Reinforcement Learning

In the book "Reinforcement learning" by Sutton there is a discussion of the k-armed bandit problem, where the expected reward from the bandits changes slightly over time (is non-stationary). Instead ...
3
votes
2answers
281 views

Viola Jones Algorithm

Can Viola Jones algorithm can be used to detect the facial emotion. Actually it was used in creating harr-cascade file for object and facial detection. But what confused me is whether it can be used ...
3
votes
5answers
482 views

Artificial Intelligence and its mathematics

I would like to ask community members what kind of knowledge is required to jump into the field of AI. Currently I have just started programming and development. What should I pursue in order to get ...
7
votes
6answers
819 views

Getting started with Artificial intelligence

I'm currently pursuing Computer science engineering.So I would like to know where to start and what mathematics is needed to jump in.
8
votes
6answers
11k views

How does one start learning artificial intelligence?

I am a software engineering student and I am complete beginner to AI. I have read a lot of articles on how to start but each article suggests a different way. I was wondering if some of you experts ...
2
votes
1answer
46 views

Why expression of cost function divides by 2? [closed]

Here is formula for calculating cost value of single neuron: C_x = (1/2) * || y - a ||^2 why there is 1/2?
2
votes
1answer
693 views

Are FFNN (MLP) Lipschitz functions?

My question is regarding standard dense-connected feed forward neural networks with sigmoidal activation. I am studying Bayesian Optimization for hyper-parameter selection for neural networks. There ...
5
votes
1answer
214 views

Is recursion used in practice to improve performance of AI systems?

Is there any methods by which artificial intelligence use recursion(s) to solve a certain issue or to keep up working and calculating?
-6
votes
2answers
187 views

What are the approaches to predict sequence of π numbers? [closed]

Given list of fixed numbers from a mathematical constant such as Pi, is it is possible to train AI to attempt to predict the next numbers? Which AI or neural network would be more suitable for this ...
16
votes
5answers
8k views

Is it possible to train the neural network to solve math equations?

I'm aware that neural networks are probably not designed to do that, however asking hypothetically, is it possible to train the deep neural network (or similar) to solve math equations? So given the ...