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[Merged by Bors] - feat: multivariate Gaussian distributions#36143

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EtienneC30 wants to merge 40 commits intoleanprover-community:masterfrom
EtienneC30:multi_gaussian
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[Merged by Bors] - feat: multivariate Gaussian distributions#36143
EtienneC30 wants to merge 40 commits intoleanprover-community:masterfrom
EtienneC30:multi_gaussian

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@EtienneC30 EtienneC30 commented Mar 4, 2026

Define the standard Gaussian distribution over a Euclidean space and multivariate Gaussian distributions over EuclideanSpace ℝ ι.

Co-authored-by: @RemyDegenne


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@EtienneC30 EtienneC30 added the t-measure-probability Measure theory / Probability theory label Mar 4, 2026
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github-actions bot commented Mar 4, 2026

PR summary 4644b1dc05

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.Analysis.InnerProductSpace.Dual 2182 2222 +40 (+1.83%)
Import changes for all files
Files Import difference
4 files Mathlib.Analysis.Calculus.Gradient.Basic Mathlib.Analysis.InnerProductSpace.Dual Mathlib.Analysis.InnerProductSpace.LaxMilgram Mathlib.Analysis.InnerProductSpace.WeakOperatorTopology
40
Mathlib.Probability.Distributions.Gaussian.Multivariate (new file) 2838

Declarations diff

+ OrthonormalBasis.norm_dual
+ charFunDual_stdGaussian
+ charFun_multivariateGaussian
+ charFun_stdGaussian
+ covarianceBilin_multivariateGaussian
+ covarianceBilin_stdGaussian
+ covariance_eval_multivariateGaussian
+ integral_id_multivariateGaussian
+ integral_id_multivariateGaussian'
+ integral_id_stdGaussian
+ integral_strongDual_stdGaussian
+ isGaussian_multivariateGaussian
+ isGaussian_stdGaussian
+ isProbabilityMeasure_stdGaussian
+ map_pi_eq_stdGaussian
+ measurePreserving_eval_multivariateGaussian
+ measurePreserving_restrict₂_multivariateGaussian
+ multivariateGaussian
+ multivariateGaussian_of_not_posSemidef
+ multivariateGaussian_zero_one
+ restrict₂
+ restrict₂_apply
+ stdGaussian
+ stdGaussian_eq_map_pi_orthonormalBasis
+ stdGaussian_map
+ variance_dual_stdGaussian
+ variance_eval_multivariateGaussian

You can run this locally as follows
## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.


Increase in tech debt: (relative, absolute) = (11.00, 0.00)
Current number Change Type
10171 11 backward.isDefEq

Current commit dc52315cc4
Reference commit 4644b1dc05

You can run this locally as

./scripts/reporting/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@EtienneC30 EtienneC30 changed the title feat: add multivariate Gaussian feat: multivariate Gaussian distributions Mar 5, 2026
@EtienneC30 EtienneC30 marked this pull request as ready for review March 5, 2026 11:25
@mathlib-dependent-issues mathlib-dependent-issues bot added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Mar 5, 2026
@RemyDegenne RemyDegenne added the brownian Part of the ongoing formalization of the Brownian motion and stochastic integrals label Mar 6, 2026
This reverts commit 290fe09.
@sgouezel sgouezel added the awaiting-author A reviewer has asked the author a question or requested changes. label Mar 13, 2026
@EtienneC30 EtienneC30 removed the awaiting-author A reviewer has asked the author a question or requested changes. label Mar 13, 2026
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bors d+
Thanks!

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mathlib-bors bot commented Mar 16, 2026

✌️ EtienneC30 can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@mathlib-triage mathlib-triage bot added the delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). label Mar 16, 2026
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Thanks!
bors merge

mathlib-bors bot pushed a commit that referenced this pull request Mar 16, 2026
Define the standard Gaussian distribution over a Euclidean space and multivariate Gaussian distributions over `EuclideanSpace ℝ ι`.

Co-authored-by: @RemyDegenne
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mathlib-bors bot commented Mar 16, 2026

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: multivariate Gaussian distributions [Merged by Bors] - feat: multivariate Gaussian distributions Mar 16, 2026
@mathlib-bors mathlib-bors bot closed this Mar 16, 2026
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