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For the rule-based category learning task, four binary dimensions were used to generate the stimuli: background color (turquoise or purple), inside color (black or white), inside shape (square or circle), and inside size (big or small).
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Consider the outputs of each classifier being binary in c dimensions (c is the number of classes): left[ {d_{i,1},d_{i,2}, ldots,d_{i,c} } right]^{T} in { 0,1} (1)where i = 1… L, j = 1… c and d ij = 1 if and only if the data, x belongs to the class j.
Let S and B be binary matrices of dimensions n× k and k× m, respectively.
The n-dimension binary vector is employed to indicate a certain binding state, e.g., a 4-dimension vector (0 1 0 1) indicates that the second and the fourth regulators are bound to their own target sites while the first and the third are not bound.
At the beginning of one learning epoch, handwritten 2D digit patterns from MNIST database are converted into one dimension binary input information.
We extend the pioneering work by Adams, Larsen and Pomraning [1] (recently revisited by Brantley [2]) by considering a series of benchmark configurations for mono-energetic and isotropic transport through Markov binary mixtures in dimension d.
In totality, 71 textural features are extracted from epithelial region of the tissue sections using various wavelet families, Gabor-wavelet, local binary pattern, fractal dimension and Brownian motion curve, followed by preprocessing and segmentation.
For DPSO PTS-AIC, updating velocity variables in (8) requires 5 multiplications, 4 additions, and updating location variables requires computing the sigmoid function and generating a random binary variable, per dimension.
Here, memory sequences are described as sequences of random activity patterns ξ that are binary vectors of dimension N, ξ ∈ { 0, 1 } N. A memory sequence of length Q is an ordered occurrence of activity patterns ξ 1 → ξ 2 → ⋯ → ξ Q.
PubChem 2D chemical structure fingerprint is an 881-dimension binary (0/1) vector.
Next, we expand hashing values organizing the string into a new binary vector whose dimension is much smaller than that of the original fingerprint.
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