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"""
adopt knowledge graph relation classification algo, Neural Tensor Network
Socher, R., Chen, D., Manning, C. D., & Ng, A. (2013). Reasoning with neural tensor networks for knowledge base completion. In Advances in neural information processing systems (pp. 926-934).[1]
"""
import numpy as np
import cPickle
from matrixTool import transMultiply
from matrixTool import TensorOuterFull
from MultiClassCF import MCCF, softmaxOutput, softmaxGradient
class NTN(MCCF):
def __init__(self):
MCCF.__init__(self)
# instantiate hyperparameters #
self.k = 0
self.d = 0
# paras_predefined #
self.W2 = None
self.W1bi = None
self.W1u = None
self.W1v = None
self.B1 = None
# paras_ascome #
self.u = {}
self.v = {}
# paras_ascome default #
self.u_avg = None
self.v_avg = None
# results storage #
self.logfilename = "logs/NTN"
self.modelconfigurefile = "modelconfigures/NTN_config"
def set_model_hyperparameters(self, model_hyperparameters):
if len(model_hyperparameters) != 2:
raise ValueError("number of hyperparameters wrong")
self.k, self.d = model_hyperparameters
def basicInitialize(self):
self.W2 = np.random.normal(0.0, self.SCALE, size = (self.L, self.k))
self.W1bi = np.random.normal(0.0, self.SCALE, size = (self.L, self.k, self.d, self.d))
self.W1u = np.random.normal(0.0, self.SCALE, size = (self.L, self.k, self.d))
self.W1v = np.random.normal(0.0, self.SCALE, size = (self.L, self.k, self.d))
self.B1 = np.random.normal(0.0, self.SCALE, size = (self.L, self.k))
return self
def initialize(self, uid, iid, predict = False):
if uid not in self.u:
if predict:
self.u[uid] = self.u_avg
else:
self.u[uid] = np.random.normal(0.0, self.SCALE, size = self.d)
if iid not in self.v:
if predict:
self.v[iid] = self.v_avg
else:
self.v[iid] = np.random.normal(0.0, self.SCALE, size = self.d)
return self
def update(self, instance):
uid, iid, lid = instance
## calculate single gradient ##
# intermediate #
L1 = self._L1(uid, iid)
outL1 = self._outL1(L1)
m = np.sum(np.multiply(self.W2, outL1), axis = 1)
mgrad = softmaxGradient(m, lid)
L1grad = transMultiply(np.multiply(self._gradL1(L1), self.W2), mgrad)
# gradient #
delt_W2 = transMultiply(outL1, mgrad)
delt_W1bi = TensorOuterFull([L1grad, self.u[uid], self.v[iid]])
delt_W1u = TensorOuterFull([L1grad, self.u[uid]])
delt_W1v = TensorOuterFull([L1grad, self.v[iid]])
delt_B1 = 1.0 * L1grad
delt_u = np.tensordot(a = L1grad.reshape(self.L * self.k), axes = (0,0),
b = (np.tensordot(self.W1bi, self.v[iid], axes=(-1,0)) + self.W1u).reshape([(self.L * self.k), self.d]))
delt_v = np.tensordot(a = L1grad.reshape(self.L * self.k), axes = (0,0),
b = (np.tensordot(self.W1bi, self.u[uid], axes=(-2,0)) + self.W1v).reshape([(self.L * self.k), self.d]))
# update #
self.W2 += (self.SGDstep * (delt_W2 - self.lamda * self.W2))
self.W1bi += (self.SGDstep * (delt_W1bi - self.lamda * self.W1bi))
self.W1u += (self.SGDstep * (delt_W1u - self.lamda * self.W1u))
self.W1v += (self.SGDstep * (delt_W1v - self.lamda * self.W1v))
self.B1 += (self.SGDstep * (delt_B1 - self.lamda * self.B1))
self.u[uid] += (self.SGDstep * (delt_u - self.lamda * self.u[uid]))
self.v[iid] += (self.SGDstep * (delt_v - self.lamda * self.v[iid]))
return self
def averageEmbedding(self):
self.u_avg = np.mean(np.array([u for u in self.u.values()]), axis=0)
self.v_avg = np.mean(np.array([v for v in self.v.values()]), axis=0)
def predict(self, uid, iid, distribution = True):
self.initialize(uid, iid, predict = True)
L1 = self._L1(uid, iid)
outL1 = self._outL1(L1)
m = np.sum(np.multiply(self.W2, outL1), axis = 1)
return softmaxOutput(m, distribution=distribution)
def modelconfigStore(self, modelconfigurefile = None):
if modelconfigurefile is None:
modelconfigurefile = self.modelconfigurefile
paras = {
"W2": self.W2,
"W1bi": self.W1bi,
"W1u": self.W1u,
"W1v": self.W1v,
"B1": self.B1,
"u": self.u,
"v": self.v,
"u_avg": self.u_avg,
"v_avg": self.v_avg
}
with open(modelconfigurefile, "w") as f:
cPickle.dump(paras, f)
def modelconfigLoad(self, modelconfigurefile=None):
if modelconfigurefile is None:
modelconfigurefile = self.modelconfigurefile
with open(modelconfigurefile, "r") as f:
paras = cPickle.load(f)
# write to model parameters #
self.W2 = paras["W2"]
self.W1bi = paras["W1bi"]
self.W1u = paras["W1u"]
self.W1v = paras["W1v"]
self.B1 = paras["B1"]
self.u = paras["u"]
self.v = paras["v"]
self.u_avg = paras["u_avg"]
self.v_avg = paras["v_avg"]
self.L = self.W2.shape[0]
print "model successfully loaded from " + modelconfigurefile
def _L1(self, uid, iid):
bi = np.tensordot(a = self.u[uid], axes = (0,-1),
b = np.tensordot(a = self.v[iid], axes = (0,-1),
b = self.W1bi))
lu = np.tensordot(a = self.W1u, b = self.u[uid], axes = (-1,0))
lv = np.tensordot(a = self.W1v, b = self.v[iid], axes = (-1,0))
return (bi + lu + lv + self.B1)
def _outL1(self, L1):
return np.tanh(L1)
def _gradL1(self, L1):
return np.power(np.cosh(L1), -2)
def _softmaxGradient(self, m, lid):
expm = np.exp(m)
expmsum = np.sum(expm)
mgrad = expm / expmsum
mgrad[lid] = mgrad[lid] - 1.0
mgrad = - mgrad
return mgrad