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Description
Describe the issue:
Repeated calls to pm.sample_smc() will sometimes generate log_marginal_likelihood structures with wrong dimensions. This applies to both MH and IMH kernels. Here are two outputs from the code below
5.10.4
Initializing SMC sampler...
Sampling 6 chains in 4 jobs
Log Marginal Likelihood: <xarray.DataArray 'log_marginal_likelihood' (chain: 1, draw: 6)> Size: 48B100.00% [100/100 00:00<? Stage: 10 Beta: 1.000]
array([[list([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -21.44663442876296]),
list([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -21.26028996011558]),
list([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -19.154901913607482]),
list([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -21.01140467150669]),
list([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -20.895884505503734]),
list([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -20.10582198257819])]],
dtype=object)
Coordinates:
* chain (chain) int64 8B 0
* draw (draw) int64 48B 0 1 2 3 4 5
Initializing SMC sampler...
Sampling 6 chains in 4 jobs
Log Marginal Likelihood: <xarray.DataArray 'log_marginal_likelihood' (chain: 6, draw: 12)> Size: 576B0.00% [100/100 00:00<? Stage: 11 Beta: 1.000]
array([[nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -19.997437506595553],
[nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -21.54992021005074],
[nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -19.7916970741079],
[nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -20.961871906904662],
[nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -20.841782883092847],
[nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, -19.667591157790675]], dtype=object)
Coordinates:
* chain (chain) int64 48B 0 1 2 3 4 5
* draw (draw) int64 96B 0 1 2 3 4 5 6 7 8 9 10 11
Evidence: -20.468383456423727
The first log_marginal_likelihood results show the problem. The xArray output is very confused -- the output is an array of lists, notice that the first list has too few elements and the co-ordinates are wrong (it reports 1 chain and 6 draws, when the sampling had 6 chains). The second example is correct, and the chain/draw coordinates are correct.
Reproduceable code example:
import numpy as np
import pymc as pm
import sympy as sp
import pytensor.tensor as T
def flux(nu, a, nu0):
w = nu/nu0
logw = T.log(w)
logS = a[0]
for i in range(1, len(a)):
logS += a[i]*logw**i
logS = T.maximum(logS, -500.0)
return np.exp(logS)
def get_model(name, freq, mu, sigma, order, nu0):
mumax = np.max(mu)
means = [0.0 for i in range(0, order)]
sigmas = [0.5 for i in range(0, order)]
means[0] = np.log(mumax)
sigmas[0] = 1.5
sigmas[1] = 1
with pm.Model() as _model:
_a = [pm.Normal(f"a[{i}]", mu=means[i], sigma=sigmas[i]) for i in range(order)]
_x = pm.MutableData('frequencies', freq)
_brightness = flux(_x, _a, nu0)
_likelihood = pm.StudentT("likelihood", nu=5, mu=_brightness,
sigma=np.array(sigma), observed=np.array(mu))
return _model
if __name__=="__main__":
print(pm.__version__)
original_data = np.array(
[[0.408, 6.24, 0.312 ],
[0.843, 13.65, 0.6825],
[1.38 , 14.96, 0.748 ],
[1.413, 14.87, 0.7435],
[1.612, 14.47, 0.7235],
[1.66 , 14.06, 0.703 ],
[1.665, 14.21, 0.7105],
[2.295, 11.95, 0.5975],
[2.378, 11.75, 0.5875],
[4.8 , 5.81, 0.2905],
[4.8 , 5.76, 0.288 ],
[4.835, 5.72, 0.286 ],
[4.85 , 5.74, 0.287 ],
[8.415, 2.99, 0.1495],
[8.42 , 2.97, 0.1485],
[8.64 , 2.81, 0.1405],
[8.64 , 2.81, 0.1405]])
freq_ghz, mu, sigma = original_data.T
freq = freq_ghz*1e9
nu0=1.0e9
rng = np.random.default_rng(123) # 123 breaks
model = get_model("J1939-6342", freq, mu, sigma, order=5, nu0=nu0)
for i in range(2):
try:
with model:
idata = pm.sample_smc(draws=2000, kernel=pm.smc.kernels.IMH,
chains=6, threshold=0.6,
correlation_threshold=0.01,
random_seed=rng)
lml_nans = idata.sample_stats["log_marginal_likelihood"]
print(f"Log Marginal Likelihood: {lml_nans}")
lml = []
for c_lml in lml_nans:
lml.append(c_lml[-1])
evidence = np.array(lml).mean()
print(f"Evidence: {evidence}")
except:
passError message:
No response
PyMC version information:
pymc 5.10.4, running on Debian trixie and bookworm. Pymc installed using pip into a venv.
Context for the issue:
It appears that the nan padding appears to be padding one too few 'nan's, and this messes up the xArray so that it is now ragged (different rows have different sizes). Perhaps related to Issue #5263.
Note that the xArray coordinates are completely incorrect when this bug happens.
Changing the random sample seed modifies this behaviour. The sample code above has a random seed chosen to cause this bug on the first call. Typically in my use case it is roughly 10 percent failure rate.