From dd60456580034947710020453a1a1ec11f2bcbca Mon Sep 17 00:00:00 2001 From: Deaglan Bartlett Date: Fri, 7 Feb 2025 13:23:27 +0100 Subject: [PATCH] Add bulk velocity to TFR inference --- tests/corner.png | Bin 749739 -> 1181783 bytes tests/likelihood_scan_a_TFR.png | Bin 17329 -> 17297 bytes tests/likelihood_scan_alpha.png | Bin 17646 -> 17205 bytes tests/likelihood_scan_b_TFR.png | Bin 17973 -> 17886 bytes tests/likelihood_scan_sigma_TFR.png | Bin 19378 -> 19337 bytes tests/likelihood_scan_sigma_v.png | Bin 21789 -> 20123 bytes tests/tfr_inference.py | 82 +++++++++++++++++++--------- tests/trace.png | Bin 359770 -> 357787 bytes tests/true_predicted_eta.png | Bin 50205 -> 50051 bytes tests/true_predicted_m.png | Bin 43128 -> 42649 bytes 10 files changed, 55 insertions(+), 27 deletions(-) diff --git a/tests/corner.png b/tests/corner.png index 06eb47394aa561ba5dd69056b0435e0bc783d8ce..d38ea6ac79df4718359fcef3d0f31b517cf75f20 100644 GIT binary patch literal 1181783 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(shape = (3, Nt)) + - vbulk (np.ndarray): The bulk velocity of the box (km/s) """ @@ -292,6 +293,12 @@ def create_mock(Nt, L, xmin, cpar, dens, vel, Rmax, alpha, mthresh, myprint(f'\tMade {accepted_count} of {Nt}') + # Obtain a bulk velocity + vhat = np.random.randn(3) + vhat = vhat / np.linalg.norm(vhat) + vbulk = np.random.randn() * utils.get_sigma_bulk(L, cpar) + vbulk = vhat * vbulk + # Get the radial component of the peculiar velocity at the positions of the objects myprint('Obtaining peculiar velocities') tracer_vel = projection.interp_field( @@ -301,6 +308,8 @@ def create_mock(Nt, L, xmin, cpar, dens, vel, Rmax, alpha, mthresh, np.array([xmin, xmin, xmin]), interp_order ) # km/s + myprint('Adding bulk velocity') + tracer_vel = tracer_vel + vbulk[:,None,None] myprint('Radial projection') vr_true = np.squeeze(projection.project_radial( tracer_vel, @@ -316,7 +325,7 @@ def create_mock(Nt, L, xmin, cpar, dens, vel, Rmax, alpha, mthresh, vr_noised = vr_true + sigma_v * np.random.randn(Nt) czCMB = ((1 + zcosmo) * (1 + vr_noised / utils.speed_of_light) - 1) * utils.speed_of_light - return all_RA, all_Dec, czCMB, all_mtrue, all_etatrue, all_mobs, all_etaobs, all_xtrue + return all_RA, all_Dec, czCMB, all_mtrue, all_etatrue, all_mobs, all_etaobs, all_xtrue, vbulk def estimate_data_parameters(): @@ -378,7 +387,7 @@ def generateMBData(RA, Dec, cz_obs, L, N, R_lim, Nsig, Nint_points, sigma_v, fra - L (float): Box length (Mpc/h) - N (int): Number of grid cells per side - R_lim (float): Maximum allowed (true) comoving distance of a tracer (Mpc/h) - - Nsig (float): ??? + - Nsig (float): How many standard deviations away from the predicted radius to use - Nint_points (int): Number of radii over which to integrate the likelihood - sigma_v (float): Uncertainty on the velocity field (km/s) - frac_sigma_r (float): An estimate of the fractional uncertainty on the positions of tracers @@ -411,7 +420,7 @@ def generateMBData(RA, Dec, cz_obs, L, N, R_lim, Nsig, Nint_points, sigma_v, fra return MB_pos -def likelihood_vel(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, +def likelihood_vel(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, vbulk, dens, vel, omega_m, h, L, xmin, interp_order, bias_epsilon, cz_obs, MB_pos, mthresh): """ @@ -425,6 +434,7 @@ def likelihood_vel(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, - sigma_v (float): Uncertainty on the velocity field (km/s) - m_true (np.ndarray): True apparent magnitudes of the tracers (shape = (Nt,)) - eta_true (np.ndarray): True linewidths of the tracers (shape = (Nt,)) + - vbulk (np.ndarray): Bulk velocity of the box (km/s) (shape=(3,)) - dens (np.ndarray): Over-density field (shape = (N, N, N)) - vel (np.ndarray): Velocity field (km/s) (shape = (3, N, N, N)) - omega_m (float): Matter density parameter Om @@ -475,6 +485,7 @@ def likelihood_vel(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, interp_order, use_jitted=True, ) + tracer_vel = tracer_vel + jnp.squeeze(vbulk)[...,None,None] tracer_vr = projection.project_radial( tracer_vel, MB_pos, @@ -541,7 +552,7 @@ def likelihood_eta(eta_true, eta_obs, sigma_eta): return loglike -def likelihood(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, +def likelihood(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, vbulk, dens, vel, omega_m, h, L, xmin, interp_order, bias_epsilon, cz_obs, m_obs, eta_obs, sigma_m, sigma_eta, MB_pos, mthresh): """ @@ -555,6 +566,7 @@ def likelihood(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, - sigma_v (float): Uncertainty on the velocity field (km/s) - m_true (np.ndarray): True apparent magnitudes of the tracers (shape = (Nt,)) - eta_true (np.ndarray): True linewidths of the tracers (shape = (Nt,)) + - vbulk (np.ndarray): Bulk velocity of the box (km/s) (shape=(3,)) - dens (np.ndarray): Over-density field (shape = (N, N, N)) - vel (np.ndarray): Velocity field (km/s) (shape = (3, N, N, N)) - omega_m (float): Matter density parameter Om @@ -577,7 +589,7 @@ def likelihood(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, """ - loglike_vel = likelihood_vel(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, + loglike_vel = likelihood_vel(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, vbulk, dens, vel, omega_m, h, L, xmin, interp_order, bias_epsilon, cz_obs, MB_pos, mthresh) loglike_m = likelihood_m(m_true, m_obs, sigma_m, mthresh) @@ -588,7 +600,7 @@ def likelihood(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, return loglike -def test_likelihood_scan(prior, alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, +def test_likelihood_scan(prior, alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, vbulk, dens, vel, omega_m, h, L, xmin, interp_order, bias_epsilon, czCMB, m_obs, eta_obs, sigma_m, sigma_eta, MB_pos, mthresh): """ @@ -627,7 +639,7 @@ def test_likelihood_scan(prior, alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, pars = [alpha, a_TFR, b_TFR, sigma_TFR, sigma_v] par_names = ['alpha', 'a_TFR', 'b_TFR', 'sigma_TFR', 'sigma_v'] - orig_ll = - likelihood(*pars, m_true, eta_true, + orig_ll = - likelihood(*pars, m_true, eta_true, vbulk, dens, vel, omega_m, h, L, xmin, interp_order, bias_epsilon, czCMB, m_obs, eta_obs, sigma_m, sigma_eta, MB_pos, mthresh) @@ -646,7 +658,7 @@ def test_likelihood_scan(prior, alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, orig_x = pars[i] for j, xx in enumerate(x): pars[i] = xx - all_ll[j] = - likelihood(*pars, m_true, eta_true, + all_ll[j] = - likelihood(*pars, m_true, eta_true, vbulk, dens, vel, omega_m, h, L, xmin, interp_order, bias_epsilon, czCMB, m_obs, eta_obs, sigma_m, sigma_eta, MB_pos, mthresh) pars[i] = orig_x @@ -665,7 +677,7 @@ def test_likelihood_scan(prior, alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, return -def run_mcmc(num_warmup, num_samples, prior, initial, dens, vel, omega_m, h, L, xmin, interp_order, bias_epsilon, +def run_mcmc(num_warmup, num_samples, prior, initial, dens, vel, cpar, L, xmin, interp_order, bias_epsilon, czCMB, m_obs, eta_obs, sigma_m, sigma_eta, MB_pos, mthresh,): """ Run MCMC over the model parameters @@ -677,8 +689,7 @@ def run_mcmc(num_warmup, num_samples, prior, initial, dens, vel, omega_m, h, L, - initial - dens (np.ndarray): Over-density field (shape = (N, N, N)) - vel (np.ndarray): Velocity field (km/s) (shape = (3, N, N, N)) - - omega_m (float): Matter density parameter Om - - h (float): Hubble constant H0 = 100 h km/s/Mpc + - cpar (borg.cosmo.CosmologicalParameters): Cosmological parameters to use - L (float): Comoving box size (Mpc/h) - xmin (float): Coordinate of corner of the box (Mpc/h) - interp_order (int): Order of interpolation from grid points to the line of sight @@ -693,11 +704,14 @@ def run_mcmc(num_warmup, num_samples, prior, initial, dens, vel, omega_m, h, L, - mthresh (float): Threshold absolute magnitude in selection Returns: - - mcmc + - mcmc (numpyro.infer.MCMC): MCMC object which has been run """ Nt = eta_obs.shape[0] + omega_m = cpar.omega_m + h = cpar.h + sigma_bulk = utils.get_sigma_bulk(L, cpar) def tfr_model(): @@ -727,15 +741,20 @@ def run_mcmc(num_warmup, num_samples, prior, initial, dens, vel, omega_m, h, L, m_true = numpyro.deterministic("m_true", x[:, 0]) eta_true = numpyro.deterministic("eta_true", x[:, 1]) + # Sample bulk velocity + vbulk_x = numpyro.sample("vbulk_x", dist.Normal(0, sigma_bulk / jnp.sqrt(3))) + vbulk_y = numpyro.sample("vbulk_y", dist.Normal(0, sigma_bulk / jnp.sqrt(3))) + vbulk_z = numpyro.sample("vbulk_z", dist.Normal(0, sigma_bulk / jnp.sqrt(3))) + # Evaluate the likelihood - numpyro.sample("obs", TFRLikelihood(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, hyper_mean_eta, hyper_sigma_eta, m_true, eta_true), obs=jnp.array([m_obs, eta_obs])) + numpyro.sample("obs", TFRLikelihood(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, hyper_mean_eta, hyper_sigma_eta, m_true, eta_true, vbulk_x, vbulk_y, vbulk_z), obs=jnp.array([m_obs, eta_obs])) class TFRLikelihood(dist.Distribution): support = dist.constraints.real - def __init__(self, alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, hyper_mean_eta, hyper_sigma_eta, m_true, eta_true): - self.alpha, self.a_TFR, self.b_TFR, self.sigma_TFR, self.sigma_v, self.hyper_mean_eta, self.hyper_sigma_eta, self.m_true, self.eta_true = dist.util.promote_shapes(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, hyper_mean_eta, hyper_sigma_eta, m_true, eta_true) + def __init__(self, alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, hyper_mean_eta, hyper_sigma_eta, m_true, eta_true, vbulk_x, vbulk_y, vbulk_z): + self.alpha, self.a_TFR, self.b_TFR, self.sigma_TFR, self.sigma_v, self.hyper_mean_eta, self.hyper_sigma_eta, self.m_true, self.eta_true, self.vbulk_x, self.vbulk_y, self.vbulk_z = dist.util.promote_shapes(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, hyper_mean_eta, hyper_sigma_eta, m_true, eta_true, vbulk_x, vbulk_y, vbulk_z) batch_shape = lax.broadcast_shapes( jnp.shape(alpha), jnp.shape(a_TFR), @@ -746,6 +765,9 @@ def run_mcmc(num_warmup, num_samples, prior, initial, dens, vel, omega_m, h, L, jnp.shape(hyper_sigma_eta), jnp.shape(m_true), jnp.shape(eta_true), + jnp.shape(vbulk_x), + jnp.shape(vbulk_y), + jnp.shape(vbulk_z), ) super(TFRLikelihood, self).__init__(batch_shape = batch_shape) @@ -753,8 +775,9 @@ def run_mcmc(num_warmup, num_samples, prior, initial, dens, vel, omega_m, h, L, raise NotImplementedError def log_prob(self, value): + vbulk = jnp.array([self.vbulk_x, self.vbulk_y, self.vbulk_z]) loglike = likelihood(self.alpha, self.a_TFR, self.b_TFR, self.sigma_TFR, self.sigma_v, - self.m_true, self.eta_true, + self.m_true, self.eta_true, vbulk, dens, vel, omega_m, h, L, xmin, interp_order, bias_epsilon, czCMB, m_obs, eta_obs, sigma_m, sigma_eta, MB_pos, mthresh) return loglike @@ -764,6 +787,9 @@ def run_mcmc(num_warmup, num_samples, prior, initial, dens, vel, omega_m, h, L, values = initial values['true_vars'] = jnp.array([m_obs, eta_obs]).T values['L_corr'] = jnp.identity(2) + values['vbulk_x'] = 0. + values['vbulk_y'] = 0. + values['vbulk_z'] = 0. myprint('Preparing MCMC kernel') kernel = numpyro.infer.NUTS(tfr_model, init_strategy=numpyro.infer.initialization.init_to_value(values=initial) @@ -781,7 +807,7 @@ def process_mcmc_run(mcmc, param_labels, truths, true_vars): Make summary plots from the MCMC and save these to file Args: - - mcmc + - mcmc (numpyro.infer.MCMC): MCMC object which has been run - param_labels (list[str]): Names of the parameters to plot - truths (list[float]): True values of the parameters to plot. If unknown, then entry is None - true_vars (dict): True values of the observables to compare against inferred ones @@ -812,7 +838,7 @@ def process_mcmc_run(mcmc, param_labels, truths, true_vars): fig1.savefig('trace.png') # Corner plot - fig2, axs2 = plt.subplots(samps.shape[1], samps.shape[1], figsize=(15,15)) + fig2, axs2 = plt.subplots(samps.shape[1], samps.shape[1], figsize=(20,20)) corner.corner( np.array(samps), labels=param_labels, @@ -849,7 +875,6 @@ def process_mcmc_run(mcmc, param_labels, truths, true_vars): fig3.tight_layout() fig3.savefig(f'true_predicted_{var}.png') - return @@ -879,7 +904,7 @@ def main(): interp_order = 1 bias_epsilon = 1.e-7 num_warmup = 1000 - num_samples = 1000 + num_samples = 2000 prior = { 'alpha': [0.5, 2.5], @@ -904,7 +929,7 @@ def main(): # Make mock np.random.seed(123) cpar, dens, vel = get_fields(L, N, xmin) - RA, Dec, czCMB, m_true, eta_true, m_obs, eta_obs, xtrue = create_mock( + RA, Dec, czCMB, m_true, eta_true, m_obs, eta_obs, xtrue, vbulk = create_mock( Nt, L, xmin, cpar, dens, vel, Rmax, alpha, mthresh, a_TFR, b_TFR, sigma_TFR, sigma_m, sigma_eta, hyper_eta_mu, hyper_eta_sigma, sigma_v, @@ -912,22 +937,26 @@ def main(): MB_pos = generateMBData(RA, Dec, czCMB, L, N, R_lim, Nsig, Nint_points, sigma_v, frac_sigma_r) # Test likelihood - loglike = likelihood(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, + loglike = likelihood(alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, vbulk, dens, vel, cpar.omega_m, cpar.h, L, xmin, interp_order, bias_epsilon, czCMB, m_obs, eta_obs, sigma_m, sigma_eta, MB_pos, mthresh) myprint(f'loglike {loglike}') # Scan over parameters to make plots verifying behaviour - test_likelihood_scan(prior, alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, + test_likelihood_scan(prior, alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, m_true, eta_true, vbulk, dens, vel, cpar.omega_m, cpar.h, L, xmin, interp_order, bias_epsilon, czCMB, m_obs, eta_obs, sigma_m, sigma_eta, MB_pos, mthresh) # Run a MCMC - mcmc = run_mcmc(num_warmup, num_samples, prior, initial, dens, vel, cpar.omega_m, cpar.h, L, xmin, interp_order, bias_epsilon, + mcmc = run_mcmc(num_warmup, num_samples, prior, initial, dens, vel, cpar, L, xmin, interp_order, bias_epsilon, czCMB, m_obs, eta_obs, sigma_m, sigma_eta, MB_pos, mthresh,) - param_labels = ['alpha', 'a_TFR', 'b_TFR', 'sigma_TFR', 'sigma_v', 'hyper_mean_m', 'hyper_sigma_m', 'hyper_mean_eta', 'hyper_sigma_eta', 'hyper_corr'] - truths = [alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, None, None, hyper_eta_mu, hyper_eta_sigma, None] + param_labels = ['alpha', 'a_TFR', 'b_TFR', 'sigma_TFR', 'sigma_v', + 'hyper_mean_m', 'hyper_sigma_m', 'hyper_mean_eta', 'hyper_sigma_eta', 'hyper_corr', + 'vbulk_x', 'vbulk_y', 'vbulk_z'] + truths = [alpha, a_TFR, b_TFR, sigma_TFR, sigma_v, + None, None, hyper_eta_mu, hyper_eta_sigma, None, + vbulk[0], vbulk[1], vbulk[2]] true_vars = {'m':m_true, 'eta':eta_true} process_mcmc_run(mcmc, param_labels, truths, true_vars) @@ 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