Mathematical framework

$$$$def expectation(l):

N=10000

return mean(l() for _ in range(N))

expectation(lambda: (h, P)) * de * int(limits_XY l(y, h(x))

dP(x, y))

Mathematical framework

$$$$def expectation(l):

N=10000

return mean(l() for _ in range(N))

expectation(lambda: (h, zv)) == E(l_h * zv) == frac1m * sum(l_h(z_i)

)

Mathematical framework

$$$$E_G(f, z)*** * de * frac1n * sum(inf_(g in G) E(l_comp(g * f)

* zv_i))

Mathematical framework

$$$$def expectation(l):

N=10000

return mean(l() for _ in range(N))

expectation(lambda: (h, P)) * de * int(limits_XY l(y, h(x))

dP(x, y))

Mathematical framework

$$$$def expectation(l):

N=10000

return mean(l() for _ in range(N))

expectation(lambda: (h, zv)) == E(l_h * zv) == frac1m * sum(l_h(z_i)

)

Mathematical framework

$$$$E_G(f, z)*** * de * frac1n * sum(inf_(g in G) E(l_comp(g * f)

* zv_i))

Mathematical framework

$$$$def expectation(l):

N=10000

return mean(l() for _ in range(N))

expectation(lambda: (h, P)) * de * int(limits_XY l(y, h(x))

dP(x, y))

Mathematical framework

$$$$def expectation(l):

N=10000

return mean(l() for _ in range(N))

expectation(lambda: (h, zv)) == E(l_h * zv) == frac1m * sum(l_h(z_i)

)

Mathematical framework

$$$$E_G(f, z)*** * de * frac1n * sum(inf_(g in G) E(l_comp(g * f)

* zv_i))

Mathematical framework

$$$$def expectation(l):

N=10000

return mean(l() for _ in range(N))

expectation(lambda: (h, P)) * de * int(limits_XY l(y, h(x))

dP(x, y))

Mathematical framework

$$$$def expectation(l):

N=10000

return mean(l() for _ in range(N))

expectation(lambda: (h, zv)) == E(l_h * zv) == frac1m * sum(l_h(z_i)

)

Mathematical framework

$$$$E_G(f, z)*** * de * frac1n * sum(inf_(g in G) E(l_comp(g * f)

* zv_i))

Mathematical framework

$$$$def expectation(l):

N=10000

return mean(l() for _ in range(N))

expectation(lambda: (h, P)) * de * int(limits_XY l(y, h(x))

dP(x, y))

Mathematical framework

$$$$def expectation(l):

N=10000

return mean(l() for _ in range(N))

expectation(lambda: (h, zv)) == E(l_h * zv) == frac1m * sum(l_h(z_i)

)

Mathematical framework

$$$$E_G(f, z)*** * de * frac1n * sum(inf_(g in G) E(l_comp(g * f)

* zv_i))