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Questions tagged [dimensions]

The tag has no usage guidance.

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0answers
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Change of variables: 4-dimensional PDF to 2-dimensional PDF

I have a 4-dimensional joint-PDF between variables $X_1,X_2,X_3,X_4$ which are all Gaussian. I want to transform this into a 2-dimensional joint-PDF between new variables $Y_1=Y_1(X_1,X_2,X_3,X_4)$ ...
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1answer
46 views

Question regarding machine learning models in production

for example, i have a feature with 5 distinct values and once one hot encoded this becomes 5 columns, but lets say the data that needs to be predicted has 4 distinct values, the neural network won't ...
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1answer
21 views

Determine which dimensions are good predictors for regression

I have a n-dimensional data that maps to a 1D value. I want to train a regressor, so given a new sample I can predict the outcome. The problem is that I don't know which of this n-dimensions are ...
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2answers
60 views

Calculating multivariate integrals between lower and upper bounds

Suppose $\vec{X}=(x_1,x_2,...,x_n)$ follows some continuous multivariate distribution, such that $x_i\in{\rm I\!R}, i=1,...,n$. Suppose also that I have access to the following functions: $\phi(\...
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0answers
25 views

$z$ dimensional restrictions and thumb rules in GAN's generator

A couple of questions on the dimensions involved in GAN's Generator. I am looking at various different papers (such as this one) which describe the generator as "mapping from a low dimensional ...
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0answers
115 views

How can we know the encoding dimension in the autoencoder model?

I have a very basic autoencoder model. I am trying to train it on one hot encoded vector. ...
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1answer
68 views

Dimensional analysis for a qdf/quantile function correspondng to the pdf/CDF (income distribution example)

This question is a duplicate of a question I previously asked, here: Dimensional analysis for a qdf/quantile function corresponing to the pdf/CDF (size distribution of income example). I believe I ...
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0answers
101 views

Dimensional analysis for a qdf/quantile function corresponing to the pdf/CDF (size distribution of income example) [duplicate]

I am going to frame this question in terms of a pdf and quantile functions for the size distribution of income, because that is where I have currently encountered it, but similar questions in quite ...
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0answers
84 views

Importance Sampling for n dimensions

EDIT: I edited the question in order to make it clear. I'm having a problem with Importance Sampling and calculation of weights in more than one dimension. Because for me this is not obvious, I will ...
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1answer
163 views

Estimating dimensionality of feature space from distance matrix

I have a distance matrix with some noise (e.g. obtained by asking people how similar two objects from a set of objects are). I am interesting in finding the (best guess for the) dimensionality of the ...
2
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1answer
730 views

Can't update bias using gradient descent, because derivative of loss function with respect to bias has different dimensions

I want to update a bias in my Neural Network using the gradient descent optimization algorithm. Unfortunately, the bias has different dimensions than the derivative of the loss function with respect ...
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1answer
26 views

Definition of dimension [closed]

For example, there is a matrix A = [[1, 2, 3, 4], [5, 6, 7, 8]] where A is a 2 dimensional matrix with 2 samples of 4 dimensions. I guess word dimension ...
1
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1answer
37 views

How can I visualise and understand the relationship between n dimensions [closed]

I am new at the field of machine learning. I have non-linear 6 dimensions, and I want to understand the relationship between 5 dimensions first. And, then understand how these 5 dimensions behave ...
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3answers
19k views

Understanding input_shape parameter in LSTM with Keras

I'm trying to use the example described in the Keras documentation named "Stacked LSTM for sequence classification" (see code below) and can't figure out the ...
1
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1answer
379 views

Can a triangle plot be used for metrics that do not sum to 100%?

From wikipedia: A ternary plot, ternary graph, triangle plot, simplex plot, or de Finetti diagram is a barycentric plot on three variables which sum to a constant. However, I want to use the plot ...
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3answers
532 views

Why correlation is not “transitive”?

First let me explain what I mean by "transitive" Suppose that the price of product A and the price of product B has a correlation of .5 Suppose also that the price of product B and product C has a ...
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0answers
2k views

Correlation of two vectors with unequal length

I have a problem that is easy to pose but seemingly hard to solve. I am working with R and I have two numeric vectors, filled with some measurments, lets call them $m_1$ and $m_2$. However, the length ...
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1answer
25 views

The impact of the number of dimensions on classification/predictive performance

For the sake of simplicity, let's say we have a rectangular dataset where the columns are fields/variables and the rows are observations/events. According to the curse of dimensionality, the higher ...