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mcmcRAp_ram_old.py
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mcmcRAp_ram_old.py
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import pickle
from LOST.kflib import createDataAR
import numpy as _N
import patsy
import re as _re
import matplotlib.pyplot as _plt
import scipy.stats as _ss
import numpy.polynomial.polynomial as _Npp
import time as _tm
import LOST.ARlib as _arl
import LOST.kfARlibMPmv_ram2 as _kfar
import pyPG as lw
from LOST.ARcfSmplNoMCMC import ARcfSmpl
#from ARcfSmpl2 import ARcfSmpl
import commdefs as _cd
from LOST.ARcfSmplFuncs import ampAngRep, buildLims, FfromLims, dcmpcff, initF
import os
import LOST.mcmcARspk as mcmcARspk
import LOST.monitor_gibbs as _mg
class mcmcARp(mcmcARspk.mcmcARspk):
# Description of model
rn = None # used for count data
k = None
Cn = None; Cs = None; C = None
kntsPSTH = None; dfPSTH = None
use_prior = _cd.__COMP_REF__
AR2lims = None
F_alfa_rep = None
# Sampled
ranks = None
pgs = None
fs = None
amps = None
dt = None
mcmcRunDir = None
#### TEMPORARY
Bi = None
rsds = None
bOMP = False # use openMP
# Gibbs
ARord = _cd.__NF__
x = None # true latent state
# Current values of params and state
B = None; aS = None; us = None;
# coefficient sampling
fSigMax = 500. # fixed parameters
#freq_lims = [[1 / .85, fSigMax]]
freq_lims = [[.1, fSigMax]]
sig_ph0L = -1
sig_ph0H = 0
# 1 offset for all trials
bIndOffset = True
peek = 400
VIS = None
ignr = 0
def gibbsSamp(self): ########################### GIBBSSAMPH
oo = self
print("****!!!!!!!!!!!!!!!! dohist %s" % str(oo.dohist))
ooTR = oo.TR
ook = oo.k
ooN = oo.N
_kfar.init(oo.N, oo.k, oo.TR)
oo.x00 = _N.array(oo.smpx[:, 2])
oo.V00 = _N.zeros((ooTR, ook, ook))
if oo.dohist:
oo.loghist = _N.zeros(oo.N+1)
else:
print("fixed hist is")
print(oo.loghist)
print("oo.mcmcRunDir %s" % oo.mcmcRunDir)
if oo.mcmcRunDir is None:
oo.mcmcRunDir = ""
elif (len(oo.mcmcRunDir) > 0) and (oo.mcmcRunDir[-1] != "/"):
oo.mcmcRunDir += "/"
ARo = _N.zeros((ooTR, ooN+1))
kpOws = _N.empty((ooTR, ooN+1))
lv_f = _N.zeros((ooN+1, ooN+1))
lv_u = _N.zeros((ooTR, ooTR))
Bii = _N.zeros((ooN+1, ooN+1))
#alpC.reverse()
# F_alfa_rep = alpR + alpC already in right order, no?
Wims = _N.empty((ooTR, ooN+1, ooN+1))
Oms = _N.empty((ooTR, ooN+1))
smWimOm = _N.zeros(ooN + 1)
smWinOn = _N.zeros(ooTR)
bConstPSTH = False
D_f = _N.diag(_N.ones(oo.B.shape[0])*oo.s2_a) # spline
iD_f = _N.linalg.inv(D_f)
D_u = _N.diag(_N.ones(oo.TR)*oo.s2_u) # This should
iD_u = _N.linalg.inv(D_u)
iD_u_u_u = _N.dot(iD_u, _N.ones(oo.TR)*oo.u_u)
if oo.bpsth:
BDB = _N.dot(oo.B.T, _N.dot(D_f, oo.B))
DB = _N.dot(D_f, oo.B)
BTua = _N.dot(oo.B.T, oo.u_a)
it = -1
oous_rs = oo.us.reshape((ooTR, 1))
#runTO = ooNMC + oo.burn - 1 if (burns is None) else (burns - 1)
runTO = oo.ITERS - 1
oo.allocateSmp(runTO+1, Bsmpx=oo.doBsmpx)
alpR = oo.F_alfa_rep[0:oo.R]
alpC = oo.F_alfa_rep[oo.R:]
BaS = _N.zeros(oo.N+1)#_N.empty(oo.N+1)
# H shape 100 x 9
Hbf = oo.Hbf
RHS = _N.empty((oo.histknots, 1))
print("----------- histknots %d" % oo.histknots)
if oo.h0_1 > 1: # no spikes in first few time bins
print("!!!!!!! hist scenario 1")
#cInds = _N.array([0, 1, 5, 6, 7, 8, 9, 10])
#cInds = _N.array([0, 4, 5, 6, 7, 8, 9])
cInds = _N.array([0, 5, 6, 7, 8, 9])
#vInds = _N.array([2, 3, 4])
vInds = _N.array([1, 2, 3, 4])
RHS[cInds, 0] = 0
RHS[0, 0] = -5
elif oo.hist_max_at_0: # no refractory period
print("!!!!!!! hist scenario 2")
#cInds = _N.array([5, 6, 7, 8, 9, 10])
cInds = _N.array([0, 4, 5, 6, 7, 8,])
vInds = _N.array([1, 2, 3])
#vInds = _N.array([0, 1, 2, 3, 4])
RHS[cInds, 0] = 0
RHS[0, 0] = 0
else:
print("!!!!!!! hist scenario 3")
#cInds = _N.array([5, 6, 7, 8, 9, 10])
cInds = _N.array([4, 5, 6, 7, 8, 9,])
vInds = _N.array([0, 1, 2, 3, ])
#vInds = _N.array([0, 1, 2, 3, 4])
RHS[cInds, 0] = 0
Msts = []
for m in range(ooTR):
Msts.append(_N.where(oo.y[m] == 1)[0])
HcM = _N.empty((len(vInds), len(vInds)))
HbfExpd = _N.zeros((oo.histknots, ooTR, oo.N+1))
# HbfExpd is 11 x M x 1200
# find the mean. For the HISTORY TERM
for i in range(oo.histknots):
for m in range(oo.TR):
sts = Msts[m]
HbfExpd[i, m, 0:sts[0]] = 0
for iss in range(len(sts)-1):
t0 = sts[iss]
t1 = sts[iss+1]
#HbfExpd[i, m, t0+1:t1+1] = Hbf[1:t1-t0+1, i]#Hbf[0:t1-t0, i]
HbfExpd[i, m, t0+1:t1+1] = Hbf[0:t1-t0, i]
HbfExpd[i, m, sts[-1]+1:] = 0
_N.dot(oo.B.T, oo.aS, out=BaS)
if oo.hS is None:
oo.hS = _N.zeros(oo.histknots)
if oo.dohist:
_N.dot(Hbf, oo.hS, out=oo.loghist)
oo.stitch_Hist(ARo, oo.loghist, Msts)
## ORDER OF SAMPLING
## f_xx, f_V
## DA: PG, kpOws
## history, build ARo
## psth
## offset
## DA: latent state
## AR coefficients
## q2
K = _N.empty((oo.TR, oo.N + 1, oo.k)) # kalman gain
iterBLOCKS = oo.ITERS//oo.peek
smpx_tmp = _N.empty((oo.TR, oo.N+1, oo.k))
###### Gibbs sampling procedure
for itrB in range(iterBLOCKS):
it = itrB*oo.peek
if it > 0:
print("it: %(it)d mnStd %(mnstd).3f" % {"it" : itrB*oo.peek, "mnstd" : oo.mnStds[it-1]})
#tttA = _tm.time()
for it in range(itrB*oo.peek, (itrB+1)*oo.peek):
#ttt1 = _tm.time()
# generate latent AR state
oo.f_x[:, 0] = oo.x00
if it == 0:
for m in range(ooTR):
oo.f_V[m, 0] = oo.s2_x00
else:
oo.f_V[:, 0] = _N.mean(oo.f_V[:, 1:], axis=1)
### PG latent variable sample
#ttt2 = _tm.time()
for m in range(ooTR):
lw.rpg_devroye(oo.rn, oo.smpx[m, 2:, 0] + oo.us[m] + BaS + ARo[m] + oo.knownSig[m], out=oo.ws[m]) ###### devryoe
#ttt3 = _tm.time()
if ooTR == 1:
oo.ws = oo.ws.reshape(1, ooN+1)
_N.divide(oo.kp, oo.ws, out=kpOws)
if oo.dohist:
O = kpOws - oo.smpx[..., 2:, 0] - oo.us.reshape((ooTR, 1)) - BaS - oo.knownSig
if it == 2000:
_N.savetxt("it2000.dat", O)
iOf = vInds[0] # offset HcM index with RHS index.
#print(oo.ws)
for i in vInds:
#print("i %d" % i)
#print(_N.sum(HbfExpd[i]))
for j in vInds:
#print("j %d" % j)
#print(_N.sum(HbfExpd[j]))
HcM[i-iOf, j-iOf] = _N.sum(oo.ws*HbfExpd[i]*HbfExpd[j])
RHS[i, 0] = _N.sum(oo.ws*HbfExpd[i]*O)
for cj in cInds:
RHS[i, 0] -= _N.sum(oo.ws*HbfExpd[i]*HbfExpd[cj])*RHS[cj, 0]
# print("HbfExpd..............................")
# print(HbfExpd)
# print("HcM..................................")
# print(HcM)
# print("RHS..................................")
# print(RHS[vInds])
vm = _N.linalg.solve(HcM, RHS[vInds])
Cov = _N.linalg.inv(HcM)
#print vm
#print(Cov)
#print(vm[:, 0])
cfs = _N.random.multivariate_normal(vm[:, 0], Cov, size=1)
RHS[vInds,0] = cfs[0]
oo.smp_hS[:, it] = RHS[:, 0]
#RHS[2:6, 0] = vm[:, 0]
#vv = _N.dot(Hbf, RHS)
#print vv.shape
#print oo.loghist.shape
_N.dot(Hbf, RHS[:, 0], out=oo.loghist)
oo.smp_hist[:, it] = oo.loghist
oo.stitch_Hist(ARo, oo.loghist, Msts)
else:
oo.smp_hist[:, it] = oo.loghist
oo.stitch_Hist(ARo, oo.loghist, Msts)
# Now that we have PG variables, construct Gaussian timeseries
# ws(it+1) using u(it), F0(it), smpx(it)
# cov matrix, prior of aS
# oo.gau_obs = kpOws - BaS - ARo - oous_rs - oo.knownSig
# oo.gau_var =1 / oo.ws # time dependent noise
#ttt4 = _tm.time()
if oo.bpsth:
Oms = kpOws - oo.smpx[..., 2:, 0] - ARo - oous_rs - oo.knownSig
_N.einsum("mn,mn->n", oo.ws, Oms, out=smWimOm) # sum over
ilv_f = _N.diag(_N.sum(oo.ws, axis=0))
# diag(_N.linalg.inv(Bi)) == diag(1./Bi). Bii = inv(Bi)
_N.fill_diagonal(lv_f, 1./_N.diagonal(ilv_f))
lm_f = _N.dot(lv_f, smWimOm) # nondiag of 1./Bi are inf
# now sample
iVAR = _N.dot(oo.B, _N.dot(ilv_f, oo.B.T)) + iD_f
#ttt4a = _tm.time()
VAR = _N.linalg.inv(iVAR) # knots x knots
#ttt4b = _tm.time()
#iBDBW = _N.linalg.inv(BDB + lv_f) # BDB not diag
#Mn = oo.u_a + _N.dot(DB, _N.dot(iBDBW, lm_f - BTua))
# BDB + lv_f (N+1 x N+1)
# lm_f - BTua (N+1)
Mn = oo.u_a + _N.dot(DB, _N.linalg.solve(BDB + lv_f, lm_f - BTua))
#t4c = _tm.time()
oo.aS = _N.random.multivariate_normal(Mn, VAR, size=1)[0, :]
oo.smp_aS[it, :] = oo.aS
_N.dot(oo.B.T, oo.aS, out=BaS)
#ttt5 = _tm.time()
######## per trial offset sample burns==None, only psth fit
Ons = kpOws - oo.smpx[..., 2:, 0] - ARo - BaS - oo.knownSig
# solve for the mean of the distribution
if not oo.bpsth: # if not doing PSTH, don't constrain offset, as there are no confounds controlling offset
_N.einsum("mn,mn->m", oo.ws, Ons, out=smWinOn) # sum over trials
ilv_u = _N.diag(_N.sum(oo.ws, axis=1)) # var of LL
# diag(_N.linalg.inv(Bi)) == diag(1./Bi). Bii = inv(Bi)
_N.fill_diagonal(lv_u, 1./_N.diagonal(ilv_u))
lm_u = _N.dot(lv_u, smWinOn) # nondiag of 1./Bi are inf, mean LL
# now sample
iVAR = ilv_u + iD_u
VAR = _N.linalg.inv(iVAR) #
Mn = _N.dot(VAR, _N.dot(ilv_u, lm_u) + iD_u_u_u)
oo.us[:] = _N.random.multivariate_normal(Mn, VAR, size=1)[0, :]
if not oo.bIndOffset:
oo.us[:] = _N.mean(oo.us)
oo.smp_u[:, it] = oo.us
else:
H = _N.ones((oo.TR-1, oo.TR-1)) * _N.sum(oo.ws[0])
uRHS = _N.empty(oo.TR-1)
for dd in range(1, oo.TR):
H[dd-1, dd-1] += _N.sum(oo.ws[dd])
uRHS[dd-1] = _N.sum(oo.ws[dd]*Ons[dd] - oo.ws[0]*Ons[0])
MM = _N.linalg.solve(H, uRHS)
Cov = _N.linalg.inv(H)
oo.us[1:] = _N.random.multivariate_normal(MM, Cov, size=1)
oo.us[0] = -_N.sum(oo.us[1:])
if not oo.bIndOffset:
oo.us[:] = _N.mean(oo.us)
oo.smp_u[:, it] = oo.us
# Ons = kpOws - ARo
# _N.einsum("mn,mn->m", oo.ws, Ons, out=smWinOn) # sum over trials
# ilv_u = _N.diag(_N.sum(oo.ws, axis=1)) # var of LL
# # diag(_N.linalg.inv(Bi)) == diag(1./Bi). Bii = inv(Bi)
# _N.fill_diagonal(lv_u, 1./_N.diagonal(ilv_u))
# lm_u = _N.dot(lv_u, smWinOn) # nondiag of 1./Bi are inf, mean LL
# # now sample
# iVAR = ilv_u + iD_u
# VAR = _N.linalg.inv(iVAR) #
# Mn = _N.dot(VAR, _N.dot(ilv_u, lm_u) + iD_u_u_u)
# oo.us[:] = _N.random.multivariate_normal(Mn, VAR, size=1)[0, :]
# if not oo.bIndOffset:
# oo.us[:] = _N.mean(oo.us)
# oo.smp_u[:, it] = oo.us
#ttt6 = _tm.time()
if not oo.noAR:
# _d.F, _d.N, _d.ks,
#_kfar.armdl_FFBS_1itrMP(oo.gau_obs, oo.gau_var, oo.Fs, _N.linalg.inv(oo.Fs), oo.q2, oo.Ns, oo.ks, oo.f_x, oo.f_V, oo.p_x, oo.p_V, oo.smpx, K)
oo.gau_obs = kpOws - BaS - ARo - oous_rs - oo.knownSig
oo.gau_var =1 / oo.ws # time dependent noise
_kfar.armdl_FFBS_1itrMP(oo.gau_obs, oo.gau_var, oo.Fs, _N.linalg.inv(oo.Fs), oo.q2, oo.Ns, oo.ks, oo.f_x, oo.f_V, oo.p_x, oo.p_V, smpx_tmp, K)
oo.smpx[:, 2:] = smpx_tmp
oo.smpx[:, 1, 0:ook-1] = oo.smpx[:, 2, 1:]
oo.smpx[:, 0, 0:ook-2] = oo.smpx[:, 2, 2:]
if oo.doBsmpx and (it % oo.BsmpxSkp == 0):
oo.Bsmpx[:, it // oo.BsmpxSkp, 2:] = oo.smpx[:, 2:, 0]
#oo.Bsmpx[it // oo.BsmpxSkp, :, 2:] = oo.smpx[:, 2:, 0]
stds = _N.std(oo.smpx[:, 2+oo.ignr:, 0], axis=1)
oo.mnStds[it] = _N.mean(stds, axis=0)
#ttt7 = _tm.time()
if not oo.bFixF:
#ARcfSmpl(oo.lfc, ooN+1-oo.ignr, ook, oo.AR2lims, oo.smpx[:, 1+oo.ignr:, 0:ook], oo.smpx[:, oo.ignr:, 0:ook-1], oo.q2, oo.R, oo.Cs, oo.Cn, alpR, alpC, oo.TR, prior=oo.use_prior, accepts=8, aro=oo.ARord, sig_ph0L=oo.sig_ph0L, sig_ph0H=oo.sig_ph0H)
ARcfSmpl(ooN+1-oo.ignr, ook, oo.AR2lims, oo.smpx[:, 1+oo.ignr:, 0:ook], oo.smpx[:, oo.ignr:, 0:ook-1], oo.q2, oo.R, oo.Cs, oo.Cn, alpR, alpC, oo.TR, prior=oo.use_prior, accepts=8, aro=oo.ARord, sig_ph0L=oo.sig_ph0L, sig_ph0H=oo.sig_ph0H)
oo.F_alfa_rep = alpR + alpC # new constructed
prt, rank, f, amp = ampAngRep(oo.F_alfa_rep, f_order=True)
#print prt
#ut, wt = FilteredTimeseries(ooN+1, ook, oo.smpx[:, 1:, 0:ook], oo.smpx[:, :, 0:ook-1], oo.q2, oo.R, oo.Cs, oo.Cn, alpR, alpC, oo.TR)
#ranks[it] = rank
oo.allalfas[it] = oo.F_alfa_rep
for m in range(ooTR):
#oo.wts[m, it, :, :] = wt[m, :, :, 0]
#oo.uts[m, it, :, :] = ut[m, :, :, 0]
if not oo.bFixF:
oo.amps[it, :] = amp
oo.fs[it, :] = f
oo.F0 = (-1*_Npp.polyfromroots(oo.F_alfa_rep)[::-1].real)[1:]
for tr in range(oo.TR):
oo.Fs[tr, 0] = oo.F0[:]
# sample u WE USED TO Do this after smpx
# u(it+1) using ws(it+1), F0(it), smpx(it+1), ws(it+1)
oo.a2 = oo.a_q2 + 0.5*(ooTR*ooN + 2) # N + 1 - 1
#oo.a2 = 0.5*(ooTR*(ooN-oo.ignr) + 2) # N + 1 - 1
BB2 = oo.B_q2
#BB2 = 0
for m in range(ooTR):
# set x00
oo.x00[m] = oo.smpx[m, 2]*0.1
##################### sample q2
rsd_stp = oo.smpx[m, 3+oo.ignr:,0] - _N.dot(oo.smpx[m, 2+oo.ignr:-1], oo.F0).T
#oo.rsds[it, m] = _N.dot(rsd_stp, rsd_stp.T)
BB2 += 0.5 * _N.dot(rsd_stp, rsd_stp.T)
oo.q2[:] = _ss.invgamma.rvs(oo.a2, scale=BB2)
oo.smp_q2[:, it]= oo.q2
#ttt8 = _tm.time()
# print("--------------------------------")
# print ("t2-t1 %.4f" % (#ttt2-#ttt1))
# print ("t3-t2 %.4f" % (#ttt3-#ttt2))
# print ("t4-t3 %.4f" % (#ttt4-#ttt3))
# # print ("t4b-t4a %.4f" % (t4b-t4a))
# # print ("t4c-t4b %.4f" % (t4c-t4b))
# # print ("t4-t4c %.4f" % (t4-t4c))
# print ("t5-t4 %.4f" % (#ttt5-#ttt4))
# print ("t6-t5 %.4f" % (#ttt6-#ttt5))
# print ("t7-t6 %.4f" % (#ttt7-#ttt6))
# print ("t8-t7 %.4f" % (#ttt8-#ttt7))
#tttB = _tm.time()
#print("#tttB - #tttA %.4f" % (#tttB - #tttA))
oo.last_iter = it
if it > oo.minITERS:
smps = _N.empty((3, it+1))
smps[0, :it+1] = oo.amps[:it+1, 0]
smps[1, :it+1] = oo.fs[:it+1, 0]
smps[2, :it+1] = oo.mnStds[:it+1]
#frms = _mg.stationary_from_Z_bckwd(smps, blksz=oo.peek)
if _mg.stationary_test(oo.amps[:it+1, 0], oo.fs[:it+1, 0], oo.mnStds[:it+1], it+1, blocksize=oo.mg_blocksize, points=oo.mg_points):
break
"""
fig = _plt.figure(figsize=(8, 8))
fig.add_subplot(3, 1, 1)
_plt.plot(range(1, it), oo.amps[1:it, 0], color="grey", lw=1.5)
_plt.plot(range(0, it), oo.amps[0:it, 0], color="black", lw=3)
_plt.ylabel("amp")
fig.add_subplot(3, 1, 2)
_plt.plot(range(1, it), oo.fs[1:it, 0]/(2*oo.dt), color="grey", lw=1.5)
_plt.plot(range(0, it), oo.fs[0:it, 0]/(2*oo.dt), color="black", lw=3)
_plt.ylabel("f")
fig.add_subplot(3, 1, 3)
_plt.plot(range(1, it), oo.mnStds[1:it], color="grey", lw=1.5)
_plt.plot(range(0, it), oo.mnStds[0:it], color="black", lw=3)
_plt.ylabel("amp")
_plt.xlabel("iter")
_plt.savefig("%(dir)stmp-fsamps%(it)d" % {"dir" : oo.mcmcRunDir, "it" : it+1})
fig.subplots_adjust(left=0.15, bottom=0.15, right=0.95, top=0.95)
_plt.close()
"""
#if it - frms > oo.stationaryDuration:
# break
oo.dump_smps(0, toiter=(it+1), dir=oo.mcmcRunDir)
oo.VIS = ARo # to examine this from outside
def dump(self, dir=None):
oo = self
pcklme = [oo]
#oo.Bsmpx = None
oo.smpx = None
oo.wts = None
oo.uts = None
oo.lfc = None
oo.rts = None
oo.zts = None
if dir is None:
dmp = open("oo.dump", "wb")
else:
dmp = open("%s/oo.dump" % dir, "wb")
pickle.dump(pcklme, dmp, -1)
dmp.close()
# import pickle
# with open("mARp.dump", "rb") as f:
# lm = pickle.load(f)
def run(self, datfilename, runDir, trials=None, minSpkCnt=0, pckl=None, runlatent=False, dontrun=False, h0_1=None, h0_2=None, h0_3=None, h0_4=None, h0_5=None, readSmpls=False, multiply_shape_hyperparam=1, multiply_scale_hyperparam=1): ########### RUN
oo = self # call self oo. takes up less room on line
oo.Cs = len(oo.freq_lims)
oo.C = oo.Cn + oo.Cs
oo.R = 1
oo.k = 2*oo.C + oo.R
# x0 -- Gaussian prior
oo.u_x00 = _N.zeros(oo.k)
oo.s2_x00 = _arl.dcyCovMat(oo.k, _N.ones(oo.k), 0.4)
oo.restarts = 0
oo.loadDat(runDir, datfilename, trials, h0_1=h0_1, h0_2=h0_2, h0_3=h0_3, h0_4=h0_4, h0_5=h0_5, multiply_shape_hyperparam=multiply_shape_hyperparam, multiply_scale_hyperparam=multiply_scale_hyperparam)
oo.setParams()
print("readSmpls ")
t1 = _tm.time()
oo.gibbsSamp()
t2 = _tm.time()
print(t2-t1)
print("done")