Example #1
0
def drawBeta(k,s,w,size=1):
    """Draw beta from its distribution (Eq.9 Rasmussen 2000) using ARS
    Make it robust with an expanding range in case of failure"""
    nd = w.shape[0]
    
    # precompute some things for speed
    logdetw = slogdet(w)[1]
    temp = 0
    for sj in s:
        sj = np.reshape(sj,(nd,nd))
        temp += slogdet(sj)[1]
        temp -= np.trace(np.dot(w,sj))
    
    lb = nd - 1.0
    flag = True
    cnt = 0
    while flag:
        xi = lb + np.logspace(-3-cnt,1+cnt,200)       # update range if needed
        flag = False
        try:
            ars = ARS(logpbeta,logpbetaprime,xi=xi,lb=lb,ub=np.inf, \
                k=k, s=s, w=w, nd=nd, logdetw=logdetw, temp=temp)
        except:
            cnt += 1
            flag = True

    # draw beta but also pass random seed to ARS code
    return ars.draw(size,np.random.randint(MAXINT))
Example #2
0
def drawBeta(k,s,w,size=1):
    """Draw beta from its distribution (Eq.9 Rasmussen 2000) using ARS
    Make it robust with an expanding range in case of failure"""
    nd = w.shape[0]
    
    # precompute some things for speed
    logdetw = slogdet(w)[1]
    temp = 0
    for sj in s:
        sj = np.reshape(sj,(nd,nd))
        temp += slogdet(sj)[1]
        temp -= np.trace(np.dot(w,sj))
    
    lb = nd - 1.0
    flag = True
    cnt = 0
    while flag:
        xi = lb + np.logspace(-3-cnt,1+cnt,50)       # update range if needed
        flag = False
        try:
            ars = ARS(logpbeta,logpbetaprime,xi=xi,lb=lb,ub=np.inf, \
                k=k, s=s, w=w, nd=nd, logdetw=logdetw, temp=temp)
        except:
            cnt += 1
            flag = True

    # draw beta but also pass random seed to ARS code
    return ars.draw(size,np.random.randint(MAXINT))
Example #3
0
def drawAlpha(k,N,size=1):
    """Draw alpha from its distribution (Eq.15 Rasmussen 2000) using ARS
    Make it robust with an expanding range in case of failure"""
    flag = True
    cnt = 0
    while flag:
        xi = np.logspace(-2-cnt,3+cnt,200)       # update range if needed
        try:
            ars = ARS(logpalpha,logpalphaprime,xi=xi,lb=0, ub=np.inf, k=k, N=N)
            flag = False
        except:
            cnt += 1
    
    # draw alpha but also pass random seed to ARS code
    return ars.draw(size,np.random.randint(MAXINT))
Example #4
0
def drawAlpha(k,N,size=1):
    """Draw alpha from its distribution (Eq.15 Rasmussen 2000) using ARS
    Make it robust with an expanding range in case of failure"""
    flag = True
    cnt = 0
    while flag:
        xi = np.logspace(-2-cnt,3+cnt,50)       # update range if needed
        try:
            ars = ARS(logpalpha,logpalphaprime,xi=xi,lb=0, ub=np.inf, k=k, N=N)
            flag = False
        except:
            cnt += 1
    
    # draw alpha but also pass random seed to ARS code
    return ars.draw(size,np.random.randint(MAXINT))