pyesmda.ESMDAInversionType

class pyesmda.ESMDAInversionType(*values)

Inversion type for the computation of \(\mathbf{C}_{\mathrm{md}} (\mathbf{C}_{\mathrm{dd}} + \alpha \mathbf{C}_{\mathrm{d}})^{-1} (\mathbf{d} - \mathbf{Y})\).

It is a hashable string enum and can be iterated.

Available inversion types are:

• naive: direct inversion of C_DD + alpha * C_D

• exact_cholesky: perform the cholesky factorization of C_DD + alpha * C_D

• exact_lstq: Computes inversion using least squares. While this method can deal with rank-deficient C_D, it should not be used since it’s very slow

• exact_woodbury: Rely on woodbury lemma to reformulate the problem

• rescaled: rely on truncated singular value decomposition TSVD of C_DD

• subspace: rely on TSVD of U with C_DD = UU^{T}

• subspace_rescaled: Same as subspace but with a rescaling procedure to avoid loss of information during truncation of small singular values (see Evensen [2004])

__init__(*args, **kwds)

Properties

NAIVE
EXACT_CHOLESKY
EXACT_LSTSQ
EXACT_WOODBURY
RESCALED
SUBSPACE
SUBSPACE_RESCALED

Methods

encode	Encode the string using the codec registered for encoding.
replace	Return a copy with all occurrences of substring old replaced by new.
split	Return a list of the substrings in the string, using sep as the separator string.
rsplit	Return a list of the substrings in the string, using sep as the separator string.
join	Concatenate any number of strings.
capitalize	Return a capitalized version of the string.
casefold	Return a version of the string suitable for caseless comparisons.
title	Return a version of the string where each word is titlecased.
center	Return a centered string of length width.
count	Return the number of non-overlapping occurrences of substring sub in string S[start:end].
expandtabs	Return a copy where all tab characters are expanded using spaces.
find	Return the lowest index in S where substring sub is found, such that sub is contained within S[start:end].
partition	Partition the string into three parts using the given separator.
index	Return the lowest index in S where substring sub is found, such that sub is contained within S[start:end].
ljust	Return a left-justified string of length width.
lower	Return a copy of the string converted to lowercase.
lstrip	Return a copy of the string with leading whitespace removed.
rfind	Return the highest index in S where substring sub is found, such that sub is contained within S[start:end].
rindex	Return the highest index in S where substring sub is found, such that sub is contained within S[start:end].
rjust	Return a right-justified string of length width.
rstrip	Return a copy of the string with trailing whitespace removed.
rpartition	Partition the string into three parts using the given separator.
splitlines	Return a list of the lines in the string, breaking at line boundaries.
strip	Return a copy of the string with leading and trailing whitespace removed.
swapcase	Convert uppercase characters to lowercase and lowercase characters to uppercase.
translate	Replace each character in the string using the given translation table.
upper	Return a copy of the string converted to uppercase.
startswith	Return True if the string starts with the specified prefix, False otherwise.
endswith	Return True if the string ends with the specified suffix, False otherwise.
removeprefix	Return a str with the given prefix string removed if present.
removesuffix	Return a str with the given suffix string removed if present.
isascii	Return True if all characters in the string are ASCII, False otherwise.
islower	Return True if the string is a lowercase string, False otherwise.
isupper	Return True if the string is an uppercase string, False otherwise.
istitle	Return True if the string is a title-cased string, False otherwise.
isspace	Return True if the string is a whitespace string, False otherwise.
isdecimal	Return True if the string is a decimal string, False otherwise.
isdigit	Return True if the string is a digit string, False otherwise.
isnumeric	Return True if the string is a numeric string, False otherwise.
isalpha	Return True if the string is an alphabetic string, False otherwise.
isalnum	Return True if the string is an alpha-numeric string, False otherwise.
isidentifier	Return True if the string is a valid Python identifier, False otherwise.
isprintable	Return True if all characters in the string are printable, False otherwise.
zfill	Pad a numeric string with zeros on the left, to fill a field of the given width.
format	Return a formatted version of the string, using substitutions from args and kwargs.
format_map	Return a formatted version of the string, using substitutions from mapping.
maketrans	Return a translation table usable for str.translate().
to_list	Return all enums as a list.