def data():
from dapper.mods.LA.small import HMM as _HMM
HMM = _HMM.copy()
HMM.t.BurnIn = 0
HMM.t.KObs = 10
xps = dpr.xpList(unique=True)
# yapf: disable
xps += da.EnKF('Sqrt' , N=20)
xps += da.EnKF('PertObs', N=20)
xps += da.EnKF('DEnKF' , N=20)
for Lag in [0, 1, 3]:
xps += da.EnKS('Sqrt' , N=20, Lag=Lag)
xps += da.EnKS('PertObs', N=20, Lag=Lag)
xps += da.EnKS('DEnKF' , N=20, Lag=Lag)
for nIter in [1, 4]:
for MDA in [False, True]:
xps += da.iEnKS('Sqrt' , N=20, Lag=Lag, nIter=nIter, MDA=MDA)
xps += da.iEnKS('PertObs', N=20, Lag=Lag, nIter=nIter, MDA=MDA)
xps += da.iEnKS('Order1' , N=20, Lag=Lag, nIter=nIter, MDA=MDA)
# yapf: enable
for xp in xps:
xp.seed = 3000
xps.launch(HMM, store_u=True, save_as=False)
print(xps.tabulate_avrgs(["rmse.a", "rmse.f", "rmse.u", "rmse.s"]))
return xps
def L96_table():
import dapper.mods.Lorenz96 as model
from dapper.mods.Lorenz96.sakov2008 import HMM as _HMM
model.Force = 8.0 # undo pinheiro2019
HMM = _HMM.copy()
HMM.t.BurnIn = 0
HMM.t.KObs = 10
dpr.set_seed(3000)
# xps
xps = dpr.xpList()
xps += da.Climatology()
xps += da.OptInterp()
xps += da.Var3D(xB=0.02)
xps += da.ExtKF(infl=6)
xps += da.EnKF("PertObs", N=40, infl=1.06)
xps += da.EnKF("Sqrt", N=28, infl=1.02, rot=True)
xps += da.EnKF_N(N=24, rot=True)
xps += da.EnKF_N(N=24, rot=True, xN=2)
xps += da.iEnKS("Sqrt", N=40, infl=1.01, rot=True)
xps += da.LETKF(N=7, rot=True, infl=1.04, loc_rad=4)
xps += da.SL_EAKF(N=7, rot=True, infl=1.07, loc_rad=6)
xps.launch(HMM, store_u=True)
table = xps.tabulate_avrgs(statkeys, decimals=4)
return table.splitlines(True)
def L63_gen():
from dapper.mods.Lorenz63.sakov2012 import HMM as _HMM
HMM = _HMM.copy()
HMM.t.BurnIn = 0
HMM.t.KObs = 10
dpr.set_seed(3000)
# xps
xps = dpr.xpList()
xps += da.Climatology()
xps += da.OptInterp()
xps += da.Var3D(xB=0.1)
xps += da.ExtKF(infl=90)
xps += da.EnKF("Sqrt", N=3, infl=1.30)
xps += da.EnKF("Sqrt", N=10, infl=1.02, rot=True)
xps += da.EnKF("PertObs", N=500, infl=0.95, rot=False)
xps += da.EnKF_N(N=10, rot=True)
xps += da.iEnKS("Sqrt", N=10, infl=1.02, rot=True)
xps += da.PartFilt(N=100, reg=2.4, NER=0.3)
xps += da.PartFilt(N=800, reg=0.9, NER=0.2)
xps += da.PartFilt(N=4000, reg=0.7, NER=0.05)
xps += da.PFxN(xN=1000, N=30, Qs=2, NER=0.2)
# Run
xps.launch(HMM, False, store_u=True)
return xps
def L63_gen():
from dapper.mods.Lorenz63.sakov2012 import HMM as _HMM
HMM = _HMM.copy()
HMM.tseq.BurnIn = 0
HMM.tseq.Ko = 10
# xps
xps = dpr.xpList()
xps += da.Climatology()
xps += da.OptInterp()
xps += da.Persistence()
xps += da.PreProg(lambda k, xx, yy: xx[k])
xps += da.Var3D(xB=0.1)
xps += da.ExtKF(infl=90)
xps += da.EnKF("Sqrt", N=3, infl=1.30)
xps += da.EnKF("Sqrt", N=10, infl=1.02, rot=True)
xps += da.EnKF("PertObs", N=500, infl=0.95, rot=False)
xps += da.EnKF_N(N=10, rot=True)
xps += da.iEnKS("Sqrt", N=10, infl=1.02, rot=True)
xps += da.PartFilt(N=100, reg=2.4, NER=0.3)
xps += da.PartFilt(N=800, reg=0.9, NER=0.2)
xps += da.PartFilt(N=4000, reg=0.7, NER=0.05)
xps += da.PFxN(xN=1000, N=30, Qs=2, NER=0.2)
xps += da.OptPF(N=100, Qs=2, reg=0.7, NER=0.3)
xps += da.EnKS("Serial", N=30, Lag=1)
xps += da.EnRTS("Serial", N=30, DeCorr=0.99)
for xp in xps:
xp.seed = 3000
# Run
xps.launch(HMM, False, store_u=True)
return xps
def L96_gen():
import dapper.mods.Lorenz96 as model
from dapper.mods.Lorenz96.sakov2008 import HMM as _HMM
model.Force = 8.0 # undo pinheiro2019
HMM = _HMM.copy()
HMM.tseq.BurnIn = 0
HMM.tseq.Ko = 10
# xps
xps = dpr.xpList()
xps += da.Climatology()
xps += da.OptInterp()
xps += da.Persistence()
xps += da.PreProg(lambda k, xx, yy: xx[k])
xps += da.Var3D(xB=0.02)
xps += da.ExtKF(infl=6)
xps += da.EnKF("PertObs", N=40, infl=1.06)
xps += da.EnKF("Sqrt", N=28, infl=1.02, rot=True)
xps += da.EnKF_N(N=24, rot=True)
xps += da.EnKF_N(N=24, rot=True, xN=2)
xps += da.iEnKS("Sqrt", N=40, infl=1.01, rot=True)
xps += da.LETKF(N=7, rot=True, infl=1.04, loc_rad=4)
xps += da.SL_EAKF(N=7, rot=True, infl=1.07, loc_rad=6)
for xp in xps:
xp.seed = 3000
xps.launch(HMM, store_u=True)
return xps
return xx, yy
# Note: An alternative approach might be to simply
# write our own `simulate()` which merely sets the `Force` parameter,
# rather than sampling it.
# #### DA methods configurations
xps = dpr.xpList()
# xps += da.PartFilt(N=1000, reg=1) # works OK with Nx=6
for N in [20, 50]:
# xps += da.EnKF('Sqrt', N, infl=1.04)
xps += da.EnKF_N(N, xN=2)
for Lag in [1, 4, 20]:
xps += da.iEnKS("Sqrt", N, Lag=Lag, xN=2, wtol=1e-5)
# TODO 4: Add 3D- and 4D-Var
# #### Launch experiments
scriptname = "basic_3" if nb else __file__
save_as = xps.launch(
HMM, scriptname, setup=set_X0_and_simulate,
mp=False, # Multiprocessing
fail_gently=False, # Facilitate debugging
liveplots=False, # NB: Turn off if running iEnKS
free=False, # Don't delete time series (enables replay)
)
# #### DA method configurations
xps = dpr.xpList()
from dapper.mods.Lorenz63.sakov2012 import HMM # Expected rmse.a:
xps += da.Climatology() # 7.6
xps += da.OptInterp() # 1.25
xps += da.Var3D(xB=0.1) # 1.03
xps += da.ExtKF(infl=90) # 0.87
xps += da.EnKF('Sqrt', N=3, infl=1.30) # 0.82
xps += da.EnKF('Sqrt', N=10, infl=1.02, rot=True) # 0.63
xps += da.EnKF('PertObs', N=500, infl=0.95, rot=False) # 0.56
xps += da.EnKF_N(N=10, rot=True) # 0.54
xps += da.iEnKS('Sqrt', N=10, infl=1.02, rot=True) # 0.31
xps += da.PartFilt(N=100, reg=2.4, NER=0.3) # 0.38
xps += da.PartFilt(N=800, reg=0.9, NER=0.2) # 0.28
# xps += da.PartFilt( N=4000, reg=0.7 , NER=0.05) # 0.27
# xps += da.PFxN(xN=1000, N=30 , Qs=2 , NER=0.2) # 0.56
# #### With Lorenz-96 instead
# +
# from dapper.mods.Lorenz96.sakov2008 import HMM # Expected rmse.a:
# xps += da.Climatology() # 3.6
# xps += da.OptInterp() # 0.95
# xps += da.Var3D(xB=0.02) # 0.41
# xps += da.ExtKF(infl=6) # 0.24
# xps += da.EnKF('PertObs', N=40, infl=1.06) # 0.22
# xps += da.EnKF('Sqrt', N=28, infl=1.02, rot=True) # 0.18