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demo-rsa.py
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demo-rsa.py
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from memo import memo
from icecream import ic
import jax
import jax.numpy as np
U = [0, 1]
R = [0, 1]
@jax.jit
def denotes(u, r):
return np.array([
[0, 1],
[1, 1]
])[r, u]
@memo
def literal_speaker[u: U, r: R]():
cast: [speaker]
speaker: knows(r)
speaker: chooses(u in U, wpp=denotes(u, r))
return Pr[ speaker.u == u ]
@memo
def l1_listener[u: U, r: R]():
cast: [listener, speaker]
listener: thinks[
speaker: given(r in R, wpp=1),
speaker: chooses(u in U, wpp=1. * denotes(u, r))
]
listener: observes [speaker.u] is u
listener: chooses(r in R, wpp=Pr[speaker.r == r])
return Pr[ listener.r == r ]
@memo
def l2_speaker[u: U, r: R](beta):
cast: [speaker, listener]
speaker: knows(r)
speaker: thinks[
listener: thinks[
speaker: given(r in R, wpp=1),
speaker: chooses(u in U, wpp=1. * denotes(u, r))
]
]
speaker: chooses(u in U, wpp=imagine[
listener: observes [speaker.u] is u,
listener: chooses(r in R, wpp=Pr[speaker.r == r]),
exp(beta * Pr[listener.r == r])
])
return Pr[speaker.u == u]
ic(literal_speaker())
ic(l1_listener())
ic(l2_speaker(3.))