Index

_

_out_shape (derivkit.derivatives.tabulated_model.one_d.Tabulated1DModel attribute)

A

adaptive_gre_fd() (in module derivkit.derivatives.finite.extrapolators) adaptive_richardson_fd() (in module derivkit.derivatives.finite.extrapolators) adaptive_ridders_fd() (in module derivkit.derivatives.finite.extrapolators) AdaptiveFitDerivative (class in derivkit.derivatives.adaptive.adaptive_fit) apply_array_nd() (in module derivkit.derivatives.autodiff.jax_utils) apply_hard_bounds() (in module derivkit.utils.numerics) apply_parameter_bounds() (in module derivkit.forecasting.sampling_utils) apply_scalar_1d() (in module derivkit.derivatives.autodiff.jax_utils) apply_scalar_nd() (in module derivkit.derivatives.autodiff.jax_utils)

as_1d_data_vector() (in module derivkit.utils.linalg) assess_polyfit_quality() (in module derivkit.derivatives.adaptive.polyfit_utils) autodiff_derivative() (in module derivkit.derivatives.autodiff.jax_core) autodiff_gradient() (in module derivkit.derivatives.autodiff.jax_core) autodiff_hessian() (in module derivkit.derivatives.autodiff.jax_core) autodiff_jacobian() (in module derivkit.derivatives.autodiff.jax_core) AutodiffDerivative (class in derivkit.derivatives.autodiff.jax_autodiff) AutodiffUnavailable available_methods() (in module derivkit.derivative_kit)

B

build_dali() (in module derivkit.forecasting.dali) build_delta_chi2_dali() (in module derivkit.forecasting.expansions) build_delta_chi2_fisher() (in module derivkit.forecasting.expansions) build_delta_nu() (in module derivkit.forecasting.fisher) build_effective_covariance_r() (in module derivkit.forecasting.fisher_xy) build_fisher_bias() (in module derivkit.forecasting.fisher) build_fisher_matrix() (in module derivkit.forecasting.fisher) build_gaussian_fisher_matrix() (in module derivkit.forecasting.fisher_gaussian) build_gaussian_likelihood() (in module derivkit.likelihoods.gaussian) build_gradient() (in module derivkit.calculus) (in module derivkit.calculus.gradient) build_hessian() (in module derivkit.calculus) (in module derivkit.calculus.hessian) build_hessian_diag() (in module derivkit.calculus) (in module derivkit.calculus.hessian) build_hyper_hessian() (in module derivkit.calculus) (in module derivkit.calculus.hyper_hessian)

build_jacobian() (in module derivkit.calculus) (in module derivkit.calculus.jacobian) build_laplace_approximation() (in module derivkit.forecasting.laplace) build_laplace_covariance() (in module derivkit.forecasting.laplace) build_laplace_hessian() (in module derivkit.forecasting.laplace) build_logposterior_dali() (in module derivkit.forecasting.expansions) build_logposterior_fisher() (in module derivkit.forecasting.expansions) build_mu_theta_from_mu_xy() (in module derivkit.forecasting.fisher_xy) build_negative_logposterior() (in module derivkit.forecasting.laplace) build_poissonian_likelihood() (in module derivkit.likelihoods.poisson) build_prior() (in module derivkit.forecasting.priors_core) build_samples() (in module derivkit.derivatives.local_polynomial_derivative.sampling) build_subspace() (in module derivkit.forecasting.expansions) build_t_matrix() (in module derivkit.forecasting.fisher_xy) build_xy_gaussian_fisher_matrix() (in module derivkit.forecasting.fisher_xy)

C

CalculusKit (class in derivkit) centered_polyfit_least_squares() (in module derivkit.derivatives.local_polynomial_derivative.fit) central_difference_error_estimate() (in module derivkit.utils.numerics)

chebyshev_offsets() (in module derivkit.derivatives.adaptive.grid) check_scalar_valued() (in module derivkit.utils.validate) choose_degree() (in module derivkit.derivatives.adaptive.polyfit_utils) component_scalar_eval() (in module derivkit.calculus.calculus_core)

D

dali() (derivkit.ForecastKit method) dali_to_getdist_emcee() (in module derivkit.forecasting.getdist_dali_samples) dali_to_getdist_importance() (in module derivkit.forecasting.getdist_dali_samples) default_method (derivkit.DerivativeKit attribute) delta_chi2_dali() (derivkit.ForecastKit method) delta_chi2_fisher() (derivkit.ForecastKit method) delta_nu() (derivkit.ForecastKit method) DerivativeEngine (class in derivkit.derivative_kit) DerivativeKit (class in derivkit) derivkit module derivkit.calculus module derivkit.calculus.calculus_core module derivkit.calculus.gradient module derivkit.calculus.hessian module derivkit.calculus.hyper_hessian module derivkit.calculus.jacobian module derivkit.calculus_kit module derivkit.derivative_kit module derivkit.derivatives module derivkit.derivatives.adaptive module derivkit.derivatives.adaptive.adaptive_fit module derivkit.derivatives.adaptive.batch_eval module derivkit.derivatives.adaptive.diagnostics module derivkit.derivatives.adaptive.grid module derivkit.derivatives.adaptive.polyfit_utils module derivkit.derivatives.adaptive.spacing module derivkit.derivatives.adaptive.transforms module derivkit.derivatives.autodiff module derivkit.derivatives.autodiff.jax_autodiff module derivkit.derivatives.autodiff.jax_core module derivkit.derivatives.autodiff.jax_utils module derivkit.derivatives.finite module derivkit.derivatives.finite.batch_eval module derivkit.derivatives.finite.core module derivkit.derivatives.finite.extrapolators module derivkit.derivatives.finite.finite_difference module derivkit.derivatives.finite.stencil module derivkit.derivatives.fornberg module derivkit.derivatives.local_polynomial_derivative module derivkit.derivatives.local_polynomial_derivative.diagnostics module

derivkit.derivatives.local_polynomial_derivative.fit module derivkit.derivatives.local_polynomial_derivative.local_poly_config module derivkit.derivatives.local_polynomial_derivative.local_polynomial_derivative module derivkit.derivatives.local_polynomial_derivative.sampling module derivkit.derivatives.tabulated_model module derivkit.derivatives.tabulated_model.one_d module derivkit.forecast_kit module derivkit.forecasting module derivkit.forecasting.dali module derivkit.forecasting.expansions module derivkit.forecasting.fisher module derivkit.forecasting.fisher_gaussian module derivkit.forecasting.fisher_xy module derivkit.forecasting.forecast_core module derivkit.forecasting.getdist_dali_samples module derivkit.forecasting.getdist_fisher_samples module derivkit.forecasting.laplace module derivkit.forecasting.priors_core module derivkit.forecasting.sampling_utils module derivkit.likelihood_kit module derivkit.likelihoods module derivkit.likelihoods.gaussian module derivkit.likelihoods.poisson module derivkit.utils module derivkit.utils.concurrency module derivkit.utils.extrapolation module derivkit.utils.linalg module derivkit.utils.logger module derivkit.utils.numerics module derivkit.utils.sandbox module derivkit.utils.types module derivkit.utils.validate module design_matrix() (in module derivkit.derivatives.local_polynomial_derivative.fit) differentiate() (derivkit.derivative_kit.DerivativeEngine method) (derivkit.DerivativeKit method) (derivkit.derivatives.adaptive.adaptive_fit.AdaptiveFitDerivative method) (derivkit.derivatives.autodiff.jax_autodiff.AutodiffDerivative method) (derivkit.derivatives.finite.finite_difference.FiniteDifferenceDerivative method) (derivkit.derivatives.fornberg.FornbergDerivative method) (derivkit.derivatives.local_polynomial_derivative.local_polynomial_derivative.LocalPolynomialDerivative method)

E

effective_covariance_r_theta() (in module derivkit.forecasting.fisher_xy) ensure_finite() (in module derivkit.utils.validate) ensure_min_samples_and_maybe_rebuild() (in module derivkit.derivatives.adaptive.grid) eval_function_batch() (in module derivkit.derivatives.adaptive.batch_eval)

eval_points() (in module derivkit.derivatives.finite.batch_eval) evaluate_logprior() (in module derivkit.utils.numerics) extract_derivative() (in module derivkit.derivatives.adaptive.polyfit_utils) extrapolate (derivkit.derivatives.tabulated_model.one_d.Tabulated1DModel attribute)

F

fill_value (derivkit.derivatives.tabulated_model.one_d.Tabulated1DModel attribute) FiniteDifferenceDerivative (class in derivkit.derivatives.finite.finite_difference) fisher() (derivkit.ForecastKit method) fisher_bias() (derivkit.ForecastKit method) fisher_to_cov() (in module derivkit.forecasting.sampling_utils) fisher_to_getdist_gaussiannd() (in module derivkit.forecasting.getdist_fisher_samples) fisher_to_getdist_samples() (in module derivkit.forecasting.getdist_fisher_samples) fit_is_obviously_bad() (in module derivkit.derivatives.adaptive.diagnostics) fit_multi_power() (in module derivkit.derivatives.adaptive.polyfit_utils) fit_with_headroom_and_maybe_minimize() (in module derivkit.derivatives.adaptive.polyfit_utils)

fixed_gre_fd() (in module derivkit.derivatives.finite.extrapolators) fixed_richardson_fd() (in module derivkit.derivatives.finite.extrapolators) fixed_ridders_fd() (in module derivkit.derivatives.finite.extrapolators) flatten_matrix_c_order() (in module derivkit.utils.validate) ForecastKit (class in derivkit) format_derivative_diagnostics() (in module derivkit.derivatives.adaptive.diagnostics) FornbergDerivative (class in derivkit.derivatives.fornberg) function (derivkit.DerivativeKit attribute) (derivkit.derivatives.finite.finite_difference.FiniteDifferenceDerivative attribute) (derivkit.derivatives.fornberg.FornbergDerivative attribute)

G

gauss_richardson_extrapolate() (in module derivkit.utils.extrapolation) gaussian() (derivkit.LikelihoodKit method) gaussian_fisher() (derivkit.ForecastKit method) generate_test_function() (in module derivkit.utils.sandbox) get_finite_difference_tables() (in module derivkit.derivatives.finite.stencil) get_forecast_tensors() (in module derivkit.forecasting.forecast_core)

get_index_value() (in module derivkit.utils.numerics) get_partial_function() (in module derivkit.utils.sandbox) getdist_dali_emcee() (derivkit.ForecastKit method) getdist_dali_importance() (derivkit.ForecastKit method) getdist_fisher_gaussian() (derivkit.ForecastKit method) getdist_fisher_samples() (derivkit.ForecastKit method) gradient() (derivkit.CalculusKit method)

H

hessian() (derivkit.CalculusKit method)

hessian_diag() (derivkit.CalculusKit method) hyper_hessian() (derivkit.CalculusKit method)

I

init_walkers_from_fisher() (in module derivkit.forecasting.sampling_utils) invert_covariance() (in module derivkit.utils) (in module derivkit.utils.linalg)

is_finite_and_differentiable() (in module derivkit.utils.validate) is_in_bounds() (in module derivkit.utils.numerics)

J

jacobian() (derivkit.CalculusKit method)

K

kernel_cov_from_fisher() (in module derivkit.forecasting.sampling_utils)

kernel_samples_from_fisher() (in module derivkit.forecasting.sampling_utils)

L

laplace_approximation() (derivkit.ForecastKit method) laplace_covariance() (derivkit.ForecastKit method) laplace_hessian() (derivkit.ForecastKit method) LikelihoodKit (class in derivkit) LocalPolyConfig (class in derivkit.derivatives.local_polynomial_derivative.local_poly_config)

LocalPolynomialDerivative (class in derivkit.derivatives.local_polynomial_derivative.local_polynomial_derivative) log_gaussian_kernel() (in module derivkit.forecasting.sampling_utils) logposterior_dali() (derivkit.ForecastKit method) logposterior_fisher() (derivkit.ForecastKit method) logsumexp_1d() (in module derivkit.utils.numerics)

M

make_derivative_diag() (in module derivkit.derivatives.adaptive.diagnostics) make_diagnostics() (in module derivkit.derivatives.local_polynomial_derivative.diagnostics) make_domain_aware_chebyshev_grid() (in module derivkit.derivatives.adaptive.grid) make_grid() (in module derivkit.derivatives.adaptive.grid) make_offsets() (in module derivkit.derivatives.adaptive.grid) make_spd_by_jitter() (in module derivkit.utils.linalg) module derivkit derivkit.calculus derivkit.calculus.calculus_core derivkit.calculus.gradient derivkit.calculus.hessian derivkit.calculus.hyper_hessian derivkit.calculus.jacobian derivkit.calculus_kit derivkit.derivative_kit derivkit.derivatives derivkit.derivatives.adaptive derivkit.derivatives.adaptive.adaptive_fit derivkit.derivatives.adaptive.batch_eval derivkit.derivatives.adaptive.diagnostics derivkit.derivatives.adaptive.grid derivkit.derivatives.adaptive.polyfit_utils derivkit.derivatives.adaptive.spacing derivkit.derivatives.adaptive.transforms derivkit.derivatives.autodiff derivkit.derivatives.autodiff.jax_autodiff derivkit.derivatives.autodiff.jax_core derivkit.derivatives.autodiff.jax_utils derivkit.derivatives.finite derivkit.derivatives.finite.batch_eval derivkit.derivatives.finite.core derivkit.derivatives.finite.extrapolators derivkit.derivatives.finite.finite_difference derivkit.derivatives.finite.stencil derivkit.derivatives.fornberg derivkit.derivatives.local_polynomial_derivative derivkit.derivatives.local_polynomial_derivative.diagnostics derivkit.derivatives.local_polynomial_derivative.fit derivkit.derivatives.local_polynomial_derivative.local_poly_config derivkit.derivatives.local_polynomial_derivative.local_polynomial_derivative derivkit.derivatives.local_polynomial_derivative.sampling derivkit.derivatives.tabulated_model derivkit.derivatives.tabulated_model.one_d derivkit.forecast_kit derivkit.forecasting derivkit.forecasting.dali derivkit.forecasting.expansions derivkit.forecasting.fisher derivkit.forecasting.fisher_gaussian derivkit.forecasting.fisher_xy derivkit.forecasting.forecast_core derivkit.forecasting.getdist_dali_samples derivkit.forecasting.getdist_fisher_samples derivkit.forecasting.laplace derivkit.forecasting.priors_core derivkit.forecasting.sampling_utils derivkit.likelihood_kit derivkit.likelihoods derivkit.likelihoods.gaussian derivkit.likelihoods.poisson derivkit.utils derivkit.utils.concurrency derivkit.utils.extrapolation derivkit.utils.linalg derivkit.utils.logger derivkit.utils.numerics derivkit.utils.sandbox derivkit.utils.types derivkit.utils.validate

mu_xy_given_theta() (in module derivkit.forecasting.fisher_xy) mu_xy_given_x0() (in module derivkit.forecasting.fisher_xy)

N

negative_logposterior() (derivkit.ForecastKit method) normalize_covariance() (in module derivkit.utils) (in module derivkit.utils.linalg)

normalize_theta() (in module derivkit.utils.validate) normalize_workers() (in module derivkit.utils.concurrency)

O

ORDERS (in module derivkit.derivatives.finite.stencil)

P

parallel_execute() (in module derivkit.utils.concurrency) poissonian() (derivkit.LikelihoodKit method) print_derivative_diagnostics() (in module derivkit.derivatives.adaptive.diagnostics) prior_beta() (in module derivkit.forecasting.priors_core) prior_gaussian() (in module derivkit.forecasting.priors_core) prior_gaussian_diag() (in module derivkit.forecasting.priors_core) prior_gaussian_mixture() (in module derivkit.forecasting.priors_core)

prior_half_cauchy() (in module derivkit.forecasting.priors_core) prior_half_normal() (in module derivkit.forecasting.priors_core) prior_jeffreys() (in module derivkit.forecasting.priors_core) prior_log_normal() (in module derivkit.forecasting.priors_core) prior_log_uniform() (in module derivkit.forecasting.priors_core) prior_none() (in module derivkit.forecasting.priors_core) prior_uniform() (in module derivkit.forecasting.priors_core) pullback_derivative_from_fit() (in module derivkit.derivatives.adaptive.polyfit_utils)

R

register_jax_autodiff_backend() (in module derivkit.derivatives.autodiff.jax_autodiff) register_method() (in module derivkit.derivative_kit) relative_error() (in module derivkit.utils.numerics) require_callable() (in module derivkit.utils.validate) require_jax() (in module derivkit.derivatives.autodiff.jax_utils) resolve_covariance_input() (in module derivkit.utils.validate)

resolve_dali_assembled_multiplet() (in module derivkit.utils.validate) resolve_dali_introduced_multiplet() (in module derivkit.utils.validate) resolve_inner_from_outer() (in module derivkit.utils.concurrency) resolve_spacing() (in module derivkit.derivatives.adaptive.spacing) resolve_workers() (in module derivkit.utils.concurrency) richardson_extrapolate() (in module derivkit.utils.extrapolation) ridders_extrapolate() (in module derivkit.utils.extrapolation)

S

scale_offsets() (in module derivkit.derivatives.adaptive.polyfit_utils) set_default_inner_derivative_workers() (in module derivkit.utils.concurrency) set_inner_derivative_workers() (in module derivkit.utils.concurrency) signed_log_derivatives_to_x() (in module derivkit.derivatives.adaptive.transforms) signed_log_forward() (in module derivkit.derivatives.adaptive.transforms) signed_log_to_physical() (in module derivkit.derivatives.adaptive.transforms) single_finite_step() (in module derivkit.derivatives.finite.core) solve_or_pinv() (in module derivkit.utils) (in module derivkit.utils.linalg)

split_xy_covariance() (in module derivkit.utils.linalg) sqrt_derivatives_to_x_at_zero() (in module derivkit.derivatives.adaptive.transforms) sqrt_domain_forward() (in module derivkit.derivatives.adaptive.transforms) sqrt_to_physical() (in module derivkit.derivatives.adaptive.transforms) stabilized_cholesky() (in module derivkit.forecasting.sampling_utils) STENCILS (in module derivkit.derivatives.finite.stencil) sum_terms() (in module derivkit.utils.numerics) SUPPORTED_FORECAST_ORDERS (in module derivkit.forecasting.forecast_core) symmetrize_matrix() (in module derivkit.utils.linalg)

T

tabulated1d_from_table() (in module derivkit.derivatives.tabulated_model.one_d) Tabulated1DModel (class in derivkit.derivatives.tabulated_model.one_d) to_jax_array() (in module derivkit.derivatives.autodiff.jax_utils)

to_jax_scalar() (in module derivkit.derivatives.autodiff.jax_utils) trimmed_polyfit() (in module derivkit.derivatives.local_polynomial_derivative.fit) TRUNCATION_ORDER (in module derivkit.derivatives.finite.stencil)

V

validate_covariance_matrix_shape() (in module derivkit.utils.validate) validate_dali_shape() (in module derivkit.utils.validate) validate_fisher_shape() (in module derivkit.utils.validate) validate_square_matrix() (in module derivkit.utils.validate)

validate_square_matrix_finite() (in module derivkit.utils.validate) validate_supported_combo() (in module derivkit.derivatives.finite.stencil) validate_symmetric_psd() (in module derivkit.utils.validate) validate_tabulated_xy() (in module derivkit.utils.validate) validate_theta_1d_finite() (in module derivkit.utils.validate)

X

x (derivkit.derivatives.tabulated_model.one_d.Tabulated1DModel attribute) x0 (derivkit.DerivativeKit attribute) (derivkit.derivatives.finite.finite_difference.FiniteDifferenceDerivative attribute) (derivkit.derivatives.fornberg.FornbergDerivative attribute)

xy_fisher() (derivkit.ForecastKit method)

Y

y_flat (derivkit.derivatives.tabulated_model.one_d.Tabulated1DModel attribute)