Example #1
0
def calc():
    with open("series.dat") as fdata:
        series = pickle.load(fdata).T

    averages  = error.mean(series)
    variances = error.variance(series, averages)

    # jackknife stuff
    jackknife_errors = np.array([error.jackknife_analysis(series, k, averages)
                                    for k in range(1, 2001)])

    # binning sutff
    binning_results = np.array([error.binning_analysis(series, k, averages,
                                                    variances)
                                    for k in range(1, 2001)])
    binning_errors = binning_results[:,1,:]

    # autocorrelation stuff
    autocorrelation_results = error.autocorrelation_analysis(series, averages, variances)
    autocorrelation_errors = autocorrelation_results[1]

    np.save("jackknife.npy", jackknife_errors)
    np.save("binning.npy", binning_results)
    np.save("autocorrelation.npy", autocorrelation_results)

    print "Binning:", binning_errors[-1]
    print "Jackknife:", jackknife_errors[-1]
    print "Autocorrelation:", autocorrelation_errors
Example #2
0
def plot():
    binning_results = np.load("binning.npy")
    jackknife_errors = np.load("jackknife.npy")

    plt.subplot(211)
    plt.ylabel("$\epsilon^2$")
    plt.plot(jackknife_errors.T[0], label = "1")
    plt.plot(jackknife_errors.T[1], label = "2")
    plt.plot(jackknife_errors.T[2], label = "3")
    plt.plot(jackknife_errors.T[4], label = "5")

    plt.legend(loc = "upper left")

    binning_times  = binning_results[:,0,:]
    binning_errors = binning_results[:,1,:]

    plt.subplot(212)
    plt.xlabel("$k$")
    plt.ylabel(r"$10^3\times\epsilon^2$")
    plt.plot(1e3 * jackknife_errors.T[3], label = "4")

    plt.legend(loc = "upper left")
    plt.savefig("errors-jackknife.pdf")
    plt.clf()

    # plot last data set seperately because it's pretty small compared to the
    # others
    plt.subplot(211)
    plt.ylabel("$\epsilon^2$")
    plt.plot(binning_errors.T[0], label = "1")
    plt.plot(binning_errors.T[1], label = "2")
    plt.plot(binning_errors.T[2], label = "3")
    plt.plot(binning_errors.T[4], label = "5")

    plt.legend(loc = "upper left")

    plt.subplot(212)
    plt.xlabel("$k$")
    plt.ylabel(r"$10^3\times\epsilon^2$")
    plt.plot(1e3 * binning_errors.T[3], label = "4")

    plt.legend(loc = "upper left")
    plt.savefig("errors-binning.pdf")
    plt.clf()

    plt.subplot(211)
    plt.ylabel(r"$\tau$")
    plt.plot(binning_times.T[0], label = "1")
    plt.plot(binning_times.T[1], label = "2")
    plt.plot(binning_times.T[2], label = "3")
    plt.plot(binning_times.T[4], label = "5")

    plt.legend(loc = "upper left")

    plt.subplot(212)
    plt.xlabel("$k$")
    plt.ylabel(r"$\tau$")
    plt.plot(binning_times.T[3], label = "4")

    plt.legend(loc = "upper left")
    plt.savefig("blocking-tau.pdf")
    plt.clf()

    series = np.load("series.dat").T
    n = series.shape[1]
    N = 2000
    mean = error.mean(series)
    var  = error.variance(series, mean)
    # we could have saved this during the actual autocorrelation analysis
    acf = np.array(
            [[error.autocorrelation_function(series[:,i], k, mean[i], var[i])
                             for k in range(N)] for i in range(n)]
    )
    iat = np.array([[sum(acf[i,:k]) for k in range(N)] for i in range(n)])

    plt.subplot(211)
    plt.ylabel(r"$A(k)$")
    for i, d in enumerate(acf):
        plt.plot(d, label = "{}".format(i + 1))

    plt.legend()

    plt.subplot(212)
    plt.xlabel("$k$")
    plt.ylabel(r"$\tau(k)$")
    for i, d in enumerate(iat):
        plt.plot(d, label = "{}".format(i + 1))

    plt.legend()
    plt.savefig("autocorrelation.pdf")