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Exact(1)
Precisely, for the case of Ours_1, the random matrix of size d×m is applied without introducing dimension reduction by setting d=m; for the case of Ours_2, with random projection, the feature vector of length m is projected to the low dimension d=50<m.
Similar(59)
Then, the message m k is projected according to a T×L random matrix (mathbb {G}), yielding the following watermarking LUT mathbf{W}_{k} = mathbb{G}mathbf{m}_{k} (4).
Similarly, X 1 and M are projected onto the same point.
The values of critical pressure ΔP n and ΔP m are projected to be about 5 and 6 MPa, respectively.
In contrast, formerly unsuitable territories above 2,000 m are projected to turn into epidemic-prone areas.
The dynamic modeling approach that incorporates wave-driven effects projects Spit Island to have approximately the same area flooded at sea-level rise = 1.0 m (96.5%) as is projected to be inundated by the passive modeling when sea-level rise = 2.0 m (98.4%).
Let A φ denotes a n ' × m φ -dimensional transformation matrix, namely orthogonal kernel maximum margin projection subspace; then, φ(x ij ) is projected into m φ dimensional space as follow {mathbf{y}}_{ij}^{varphi }={mathbf{A}}_{varphi}^Tvarphi left({mathbf{x}}_{ij}right) (19).
After training, a projection matrix Φ is obtained and every pixel in the image is projected onto m-dimensional DTF space.
To initialize the process, first all the target domain data is projected into an m-dimensional subspace.
If current worldwide trends continue, the number of overweight people (BMI ≥25 kg/m) is projected to increase from 1.3 billion in 2005 to nearly 2.0 billion by 2030 (6).
Unluckily for Ms Duffy, she has been projected into this role - the bee in their flower.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com