``````

In [1]:

from ContNoRegret.Domains import nBox
from ContNoRegret.LossFunctions import PolynomialLossFunction, AffineLossFunction
from ContNoRegret.DualAveraging import *
import numpy as np
import ctypes
import matplotlib.pyplot as plt
%matplotlib inline

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``````

In [2]:

dom = nBox([(0,1), (0,1)])
Loss = PolynomialLossFunction(dom, [1, 2, 1], [(2,0), (1,1), (0,2)])
# Loss = AffineLossFunction(dom, (1,1), 0)
# Loss.set_bounds([0, 2])
# potential = CompositeOmegaPotential(gamma=3)
potential = pNormPotential(1.5)
eta = 0.1

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``````

In [4]:

nustar(dom, potential, eta, Loss)

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``````

Out[4]:

-11.131326442316086

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``````

In [10]:

gammas = [1.25, 1.5, 1.75, 2, 2.5, 3, 3.5, 4]
nustars = [nustar(dom, CompositeOmegaPotential(gamma), eta, Loss) for gamma in gammas]

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``````

In [10]:

ps = np.linspace(1.05, 2, 10)
nustars = [nustar(dom, pNormPotential(p), eta, Loss) for p in ps]

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``````

In [11]:

plt.plot(ps, nustars)

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``````

Out[11]:

[<matplotlib.lines.Line2D at 0x106902c50>]

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``````

In [1]:

import numpy as np
from ContNoRegret.LossFunctions import AffineLossFunction, PolynomialLossFunction, QuadraticLossFunction
from ContNoRegret.Domains import nBox, UnionOfDisjointnBoxes
dom = nBox([(0,1), (0,1)])#, (0,1)])
dom2 = UnionOfDisjointnBoxes([nBox([(-1,0), (-1,0)]), nBox([(0,1), (0,1)])])
loss = AffineLossFunction(dom, [1,3], 1.75)
# polyloss = PolynomialLossFunction(dom, [1,2], [(1,3,1), (2,1,0)])

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``````

In [6]:

loss.norm(np.Infinity)

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``````

Out[6]:

10.75

``````