# Questions tagged [data-mining]

This tag is for questions about data mining, which is an interdisciplinary subfield of computer science. It is the computational process of discovering patterns in large data sets.

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### coefficients of the linear model $y=β_0+β_1x_1+β_2x_2$ that minimises the sum of squares error [closed]

Consider the following sample: $$(x_{11}, x_{12}, y_1) = (1, 3, 4),$$$$(x_{21}, x_{22}, y_2) = (2, 1, 5),$$$$(x_{31}, x_{32}, y_3) = (3, 0, 7),$$$$(x_{41}, x_{42}, y_4) = (4, −2, 6).$$ How can I ...
• 75
93 views

### optimisation problem that minimises the sum of absolute errors of the simple linear model $y = a + bx$.

Consider the following sample: $(x_1, y_1) = (1, 1)$, $(x_2, y_2) = (2, 5)$, $(x_3, y_3) = (3, 8)$, $(x_4, y_4) = (4, 18)$. How can I write down an optimisation problem that minimises the sum of ...
• 75
57 views

### Calculating the RMSE and $R^2$ with a linear model $y = a + bx$ so that the mean squared error of the model is minimised [closed]

Consider the following sample: $(x_1, y_1) = (1, 1)$, $(x_2, y_2) = (2, 5)$, $(x_3, y_3) = (3, 8)$, $(x_4, y_4) = (4, 18)$. Suppose you predict $y$ based on $x$ with a linear model $y = a + bx$ so ...
• 27
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### calculate all pairwise dot (inner) products between data points

Suppose we have $n$ data points in $\mathbb{R}^p$ and we would like to calculate all pairwise dot (inner) products between them. How can I write a single matrix multiplication that does this? (Some ...
145 views

### What is the exact function or algorithm Windows 10 is using to calculate taskbar underline color from Registry values, based on data I have collected?

In earlier versions of Windows, it was easy for users to set the exact colors of interface elements. For example, in Windows 7, you could go to [Control Panel -> Personalization -> Window Color],...
23 views

### FTT Features to use after time-domain is transformed to frequency-domain

Please forgive the question if it sounds trivial/naive, I am from computer science background, not electrical/computer engineering. I work with GPS trajectory dataset for classification. Data was ...
• 101
66 views

### Looking far a formula giving the coordinates $(x,y)$ at a given instant of a point traversing $\mathbb{N}^2$ in a layered way

We are observing a point in a two-dimensional Cartesian coordinate system which, at the initial time, is at the origin (0,0) ; one second later, the point moves to coordinate (0,1), and another second ...
• 1,436
1 vote
400 views

### Machine Learning over Finite Fields

My question is if machine learning over finite fields is a sensible idea, or if there is any literature regarding this. By that I mean, given some function with inputs and outputs on a finite field ...
• 57
19 views

### Independence test for paired predictors

I know that the title of this question can be misleading but trust me, i didn't know what title to put. I'm doing a project in the field of data science and, before to use any machine learning ...
1 vote
228 views

• 511
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### Calculation of Intrinsic dimension of datasets

Currently I am following a Machine learning course and we are looking at the intrinsic dimension of datasets. The professor gave a few examples of the intrinsic dimension of some objects (ej. the ...
• 171
84 views

### Dimensionality reduction for high dimensional curves?

I have a continuous curve in high dimensional space, and I'd like to visualize it in lower dimensional (2D or 3D) space to get an intuition of what it looks like. I'm familiar with PCA and t-SNE, but ...
53 views

### Different order of insertion - different Bayesian network ? how to prove formally?

I have some Bayesian network which i constructed from some data, say it consists of nodes A, B, C and D and that was the initial order of insertion. If i ...
• 121
89 views

### Which similarity formula should I use?

I was studying Cosine Similarity and I have just seen this article. https://medium.com/@rahulkuntala9/cosine-similarity-and-handling-categorical-variables-29f907951b5 The author uses Cosine ...
38 views

### If there are any curve databases with structured data

I found these curve lists: http://www.lmfdb.org/EllipticCurve/ https://en.wikipedia.org/wiki/List_of_curves http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html http://old.nationalcurvebank....
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1 vote
31 views

### Weighting function for a scatter plot of ratio and difference across several orders of magnitude

I am comparing straight line distances to the shortest discovered path. I have millions of points with a pair (straight line distance,...
• 1,093
1 vote
43 views

### Finding statistically increasing and decreasing sub-sequences in a (noisy) vector

I have a vector of real non-negative values of length ~60. The values represent a geometric property (can be area, circumference, etc.) of an object extracted from a movie of a biological sample, and ...
• 41
1 vote