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[documentation] Improve the docstring of SimpleStats #917
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Codecov ReportAll modified and coverable lines are covered by tests ✅
Additional details and impacted files@@ Coverage Diff @@
## main #917 +/- ##
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+ Coverage 94.17% 94.70% +0.53%
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Files 45 45
Lines 8219 8027 -192
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- Hits 7740 7602 -138
+ Misses 479 425 -54 ☔ View full report in Codecov by Sentry. |
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Thanks for documenting this! I made a few suggestions, mostly to refer to SimpleStats
in the more complicated stats docstrings and to only document the fields that don't appear in the simple version
Type for storing statistics returned by the majority of Krylov solvers. | ||
The fields are as follows: | ||
- `niter`: The total number of iterations completed by the solver; | ||
- `solved`: Indicates whether the solver successfully reached convergence (`true` if solved, ``false` otherwise); |
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- `solved`: Indicates whether the solver successfully reached convergence (`true` if solved, ``false` otherwise); | |
- `solved`: Indicates whether the solver successfully reached convergence (`true` if solved, `false` otherwise); |
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Also, convergence according to which criterion? A tolerance I assume?
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The answer is quite complex. It depends which shopping condition is triggered.
It could be also related to the callback.
I need to document that since a long time too: #552
src/krylov_stats.jl
Outdated
- `solved`: Indicates whether the solver successfully reached convergence (`true` if solved, ``false` otherwise); | ||
- `inconsistent`: Flags whether the system was detected as inconsistent (i.e., when `b` is not in the range of `A`); | ||
- `residuals`: A vector containing the residual norms at each iteration; | ||
- `Aresiduals`: A vector of `Aᴴ`-residual norms at each iteration; |
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What is Aᴴ
?
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The adjoint of A
Guillaume.
A^T
is the transpose and A^H
the conjugate hermitian.
In the real case A^H
are A^T
are the same matrices.
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My bad, I'm more used to A'
or A*
for the adjoint, hence my surprise
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I will use A'
. I probably expected users to know too many concepts of linear algebra (A^H, consistent, indefinite, singular, singular, dual, etc...).
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Some of those were probably explained elsewhere in the docs, like A^H
, but yeah the point of all my review comments was getting some clarification in the stats docstring itself.
- `Aresiduals`: A vector of `Aᴴ`-residual norms at each iteration; | ||
- `Acond`: An estimate of the condition number of matrix `A`. | ||
- `timer`: The elapsed time (in seconds) taken by the solver to complete all iterations; | ||
- `status`: A string indicating the outcome of the solve, providing additional details beyond `solved`. |
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Can you give an example? What are its possible values?
@@ -47,7 +48,8 @@ function copyto!(dest :: SimpleStats, src :: SimpleStats) | |||
end | |||
|
|||
""" | |||
Type for statistics returned by LSMR. The attributes are: | |||
Type for storing statistics returned by LSMR. | |||
The fields are as follows: |
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The fields are as follows: | |
The fields are as follows (see [`Krylov.SimpleStats`](@ref)): |
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Same for the other more sophisticated stats, so that you don't need to document every field again
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What is xNorm
here?
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The norm of the solution x
.
You can compute it cheaply for many methods because the Krylov basis is orthonormal.
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okay, we should probably explain it here then
@@ -96,7 +98,8 @@ function copyto!(dest :: LsmrStats, src :: LsmrStats) | |||
end | |||
|
|||
""" | |||
Type for statistics returned by CG-LANCZOS, the attributes are: | |||
Type for storing statistics returned by CG-LANCZOS. | |||
The fields are as follows: |
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The fields are as follows: | |
The fields are as follows (see [`Krylov.SimpleStats`](@ref)): |
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What is indefinite
here?
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It means that the matrix is indefinite.
A matrix is indefinite if it has positive and negative eigenvalues.
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okay, we should probably explain it here or in a high-level preamble
@@ -134,7 +137,8 @@ function copyto!(dest :: LanczosStats, src :: LanczosStats) | |||
end | |||
|
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""" | |||
Type for statistics returned by CG-LANCZOS with shifts, the attributes are: | |||
Type for storing statistics returned by CG-LANCZOS-SHIFT and CGLS-LANCZOS-SHIFT. | |||
The fields are as follows: |
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The fields are as follows: | |
The fields are as follows (see [`Krylov.SimpleStats`](@ref)): |
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What is indefinite
here?
@@ -174,7 +178,8 @@ function copyto!(dest :: LanczosShiftStats, src :: LanczosShiftStats) | |||
end | |||
|
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""" | |||
Type for statistics returned by SYMMLQ, the attributes are: | |||
Type for storing statistics returned by SYMMLQ. | |||
The fields are as follows: |
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The fields are as follows: | |
The fields are as follows (see [`Krylov.SimpleStats`](@ref)): |
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What are residualscg
, errors
and errorscg
here?
@@ -221,7 +226,8 @@ function copyto!(dest :: SymmlqStats, src :: SymmlqStats) | |||
end | |||
|
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""" | |||
Type for statistics returned by adjoint systems solvers BiLQR and TriLQR, the attributes are: | |||
Type for storing statistics returned by adjoint systems solvers BiLQR and TriLQR. | |||
The fields are as follows: |
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The fields are as follows: | |
The fields are as follows (see [`Krylov.SimpleStats`](@ref)): |
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What do the primal
and dual
suffixes mean here?
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You solve two systems here Ax = b
and A'y = c
. The primal refers to the first system while the dual refers to the second one.
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maybe this docstring could link to an explanation of the algorithm itself for these details
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It's just that you checked the docstring in the wrong way.
I don't think any user wants to understand how to use a result before knowing how to obtain it. 😉
Nobody will ever use AdjointStats
without previously calling bilqr
and trilqr
, which explain everything and that gives a pointer to this structure: https://jso.dev/Krylov.jl/dev/solvers/as/
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fair enough
@@ -258,7 +264,8 @@ end | |||
|
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""" | |||
Type for statistics returned by the LNLQ method, the attributes are: | |||
Type for storing statistics returned by the LNLQ method. | |||
The fields are as follows: |
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The fields are as follows: | |
The fields are as follows (see [`Krylov.SimpleStats`](@ref)): |
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What do the error_
fields mean here?
@@ -298,7 +305,8 @@ function copyto!(dest :: LNLQStats, src :: LNLQStats) | |||
end | |||
|
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""" | |||
Type for statistics returned by the LSLQ method, the attributes are: | |||
Type for storing statistics returned by the LSLQ method. | |||
The fields are as follows: |
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The fields are as follows: | |
The fields are as follows (see [`Krylov.SimpleStats`](@ref)): |
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What are the new fields here?
@gdalle I agree with you on many point but for specific statistics like LsmrStats, LnlqStats, AdjointStats, etc... Note also that the title of the PR is |
#876
cc @gdalle
https://jso.dev/Krylov.jl/previews/PR917