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Added some numerical stability to link functions with tests for link functions
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3 changed files with 197 additions and 27 deletions
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@ -6,15 +6,33 @@ from scipy.special import cbrt
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from .config import *
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_lim_val = np.finfo(np.float64).max
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_lim_val_exp = np.log(_lim_val)
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_lim_val_square = np.sqrt(_lim_val)
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_lim_val_cube = cbrt(_lim_val)
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#_lim_val_cube = cbrt(_lim_val)
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_lim_val_cube = np.nextafter(_lim_val**(1/3.0), -np.inf)
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_lim_val_quad = np.nextafter(_lim_val**(1/4.0), -np.inf)
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_lim_val_three_times = np.nextafter(_lim_val/3.0, -np.inf)
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def safe_exp(f):
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clip_f = np.clip(f, -np.inf, _lim_val_exp)
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return np.exp(clip_f)
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def safe_square(f):
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f = np.clip(f, -np.inf, _lim_val_square)
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return f**2
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def safe_cube(f):
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f = np.clip(f, -np.inf, _lim_val_cube)
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return f**3
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def safe_quad(f):
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f = np.clip(f, -np.inf, _lim_val_quad)
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return f**4
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def safe_three_times(f):
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f = np.clip(f, -np.inf, _lim_val_three_times)
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return 3*f
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def chain_1(df_dg, dg_dx):
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"""
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Generic chaining function for first derivative
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