All Questions
Tagged with machine-learning linear-algebra
12
questions
1
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0
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33
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From a constraint satisfaction problem (CSP) to a sudoku grid [closed]
one of the existing methods of solvin a sudoku grid is via constraints satisfaction (CSP), but can we do the inverse ie convert a CSP problem into a sudoku grid and then solve it ?
1
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0
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36
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Interpolation in convex hull
I'm reading a paper, Learning in High Dimension Always Amounts to Extrapolation, that provides a result I don't understand.
It provides this theorem which I do understand:
Theorem 1: (Bárány and ...
1
vote
0
answers
127
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Matrix valued word embeddings for natural language processing
In natural language processing, an area of machine learning, one would like to represent words as objects that can easily be understood and manipulated using machine learning. A word embedding is a ...
- 28.1k
1
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0
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98
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Problems Correction of "Algebra, Topology, Differential Calculus, and Optimization Theory For Computer Science and Machine Learning "' [closed]
Where I can find the problems correction of this book " Algebra, Topology, Differential Calculus, and Optimization Theory For Computer Science and Machine Learning "
- 11
2
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0
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86
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Nuclear norm minimization of convolution matrix (circular matrix) with fast Fourier transform
I am reading a paper Recovery of Future Data via Convolution Nuclear Norm Minimization. Here, I know there is a definition for convolution matrix.
Given any vector $\boldsymbol{x}=(x_1,x_2,\ldots,x_n)^...
- 21
2
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44
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Combining SVD subspaces for low dimensional representations
Suppose we have matrix $A$ of size $N_t \times N_m$, containing $N_m$ measurements corrupted by some (e.g. Gaussian) noise. An SVD of this data $A = U_AS_A{V_A}^T$ can reveal the singular vectors $U_A$...
- 21
1
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0
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96
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Converting an indexed equation to a matrix one
I am helping a friend with a project involving neural networks and he wants to convert this equation into matrix notation:
$$w_{ij} = \sum_{n=1}^N\left[\sum_{i=1}^I(r_{in}-y_{in})v_{ih}\right](1-z_{hn}...
- 29
8
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319
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Monotonicity of log determinant of Gaussian kernel matrix
Let \begin{equation} k({x},{y}) = \sigma \exp\left(-\frac{(x-y)^2}{2\theta^2}\right)\end{equation}
be a squared-exponential (Gaussian) kernel, with $\sigma,\vartheta>0$. Consider, for a set of $N$ ...
- 55
5
votes
1
answer
207
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Hermite polynomial after rotation
When we consider the $n$-dimensional standard normal distribution, the orthogonal basis is $\{H_S(x)\}_{S}$ where $H_S(x) = \prod_{k=1}^n H_{s_k}(x_k)$. Here $H_*(x)$ is the normalized probabilist's ...
- 75
16
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1
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832
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Are primes linearly separable?
Let $X_1,\cdots,X_n$ be finite subsets of some set $Z$. Then the symmetric difference metric space:
$$d(X_i,X_j) = \sqrt{ |X_i|+|X_j|-2|X_i\cap X_j|}$$
can be embedded in Euclidean space. The value $|...
user6671
-2
votes
1
answer
137
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Find a columns of matrix $A$ which form a basis of columns space of matrix $A$ [closed]
We have a matrix $A$ whose rows are data records and whose columns are features. We would like to omit useless features such as zero or constant columns, duplicate columns, columns that are equal to ...
- 1
0
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1
answer
108
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General results regarding linear separability?
I'm reading up on the theory behind support vector machines and would like a good reference with some general results about linear separability.
Specifically, questions like below:
Given two ...
- 101