From 9eea6cf21af426598b41a72bed8bc8022bf9149c Mon Sep 17 00:00:00 2001 From: Frank Dellaert Date: Tue, 25 Jan 2022 17:15:52 -0500 Subject: [PATCH 1/4] Added sumProduct as a convenient alias --- gtsam/discrete/DiscreteFactorGraph.cpp | 17 +++++++++++++++ gtsam/discrete/DiscreteFactorGraph.h | 21 +++++++++++++++++-- .../tests/testDiscreteFactorGraph.cpp | 10 +++++++++ 3 files changed, 46 insertions(+), 2 deletions(-) diff --git a/gtsam/discrete/DiscreteFactorGraph.cpp b/gtsam/discrete/DiscreteFactorGraph.cpp index f8e1b4bb8..b4b65f885 100644 --- a/gtsam/discrete/DiscreteFactorGraph.cpp +++ b/gtsam/discrete/DiscreteFactorGraph.cpp @@ -144,6 +144,23 @@ namespace gtsam { boost::dynamic_pointer_cast(lookup), max); } + /* ************************************************************************ */ + // sumProduct is just an alias for regular eliminateSequential. + DiscreteBayesNet DiscreteFactorGraph::sumProduct( + OptionalOrderingType orderingType) const { + gttic(DiscreteFactorGraph_sumProduct); + auto bayesNet = BaseEliminateable::eliminateSequential(orderingType); + return *bayesNet; + } + + DiscreteLookupDAG DiscreteFactorGraph::sumProduct( + const Ordering& ordering) const { + gttic(DiscreteFactorGraph_sumProduct); + auto bayesNet = + BaseEliminateable::eliminateSequential(ordering, EliminateForMPE); + return DiscreteLookupDAG::FromBayesNet(*bayesNet); + } + /* ************************************************************************ */ // The max-product solution below is a bit clunky: the elimination machinery // does not allow for differently *typed* versions of elimination, so we diff --git a/gtsam/discrete/DiscreteFactorGraph.h b/gtsam/discrete/DiscreteFactorGraph.h index 1ba39ff9d..2e9b40823 100644 --- a/gtsam/discrete/DiscreteFactorGraph.h +++ b/gtsam/discrete/DiscreteFactorGraph.h @@ -132,11 +132,28 @@ class GTSAM_EXPORT DiscreteFactorGraph const std::string& s = "DiscreteFactorGraph", const KeyFormatter& formatter = DefaultKeyFormatter) const override; + /** + * @brief Implement the sum-product algorithm + * + * @param orderingType : one of COLAMD, METIS, NATURAL, CUSTOM + * @return DiscreteBayesNet encoding posterior P(X|Z) + */ + DiscreteBayesNet sumProduct( + OptionalOrderingType orderingType = boost::none) const; + + /** + * @brief Implement the sum-product algorithm + * + * @param ordering + * @return DiscreteBayesNet encoding posterior P(X|Z) + */ + DiscreteLookupDAG sumProduct(const Ordering& ordering) const; + /** * @brief Implement the max-product algorithm * * @param orderingType : one of COLAMD, METIS, NATURAL, CUSTOM - * @return DiscreteLookupDAG::shared_ptr DAG with lookup tables + * @return DiscreteLookupDAG DAG with lookup tables */ DiscreteLookupDAG maxProduct( OptionalOrderingType orderingType = boost::none) const; @@ -145,7 +162,7 @@ class GTSAM_EXPORT DiscreteFactorGraph * @brief Implement the max-product algorithm * * @param ordering - * @return DiscreteLookupDAG::shared_ptr `DAG with lookup tables + * @return DiscreteLookupDAG `DAG with lookup tables */ DiscreteLookupDAG maxProduct(const Ordering& ordering) const; diff --git a/gtsam/discrete/tests/testDiscreteFactorGraph.cpp b/gtsam/discrete/tests/testDiscreteFactorGraph.cpp index f4819dab5..63f5b7319 100644 --- a/gtsam/discrete/tests/testDiscreteFactorGraph.cpp +++ b/gtsam/discrete/tests/testDiscreteFactorGraph.cpp @@ -154,6 +154,16 @@ TEST(DiscreteFactorGraph, test) { auto actualMPE = graph.optimize(); EXPECT(assert_equal(mpe, actualMPE)); EXPECT_DOUBLES_EQUAL(9, graph(mpe), 1e-5); // regression + + // Test sumProduct alias with all orderings: + auto mpeProbability = expectedBayesNet(mpe); + EXPECT_DOUBLES_EQUAL(0.28125, mpeProbability, 1e-5); // regression + for (Ordering::OrderingType orderingType : + {Ordering::COLAMD, Ordering::METIS, Ordering::NATURAL, + Ordering::CUSTOM}) { + auto bayesNet = graph.sumProduct(orderingType); + EXPECT_DOUBLES_EQUAL(mpeProbability, bayesNet(mpe), 1e-5); + } } /* ************************************************************************* */ From 09fa002bd76ab98abfc32b0b1579e6642710124e Mon Sep 17 00:00:00 2001 From: Frank Dellaert Date: Tue, 25 Jan 2022 17:31:49 -0500 Subject: [PATCH 2/4] Python --- gtsam/discrete/discrete.i | 5 ++ gtsam/nonlinear/nonlinear.i | 5 ++ .../gtsam/tests/test_DiscreteFactorGraph.py | 52 ++++++++++++++++--- 3 files changed, 55 insertions(+), 7 deletions(-) diff --git a/gtsam/discrete/discrete.i b/gtsam/discrete/discrete.i index 3f2c3e060..0dcbcc1cf 100644 --- a/gtsam/discrete/discrete.i +++ b/gtsam/discrete/discrete.i @@ -277,7 +277,12 @@ class DiscreteFactorGraph { double operator()(const gtsam::DiscreteValues& values) const; gtsam::DiscreteValues optimize() const; + gtsam::DiscreteLookupDAG sumProduct(); + gtsam::DiscreteLookupDAG sumProduct(gtsam::Ordering::OrderingType type); + gtsam::DiscreteLookupDAG sumProduct(const gtsam::Ordering& ordering); + gtsam::DiscreteLookupDAG maxProduct(); + gtsam::DiscreteLookupDAG maxProduct(gtsam::Ordering::OrderingType type); gtsam::DiscreteLookupDAG maxProduct(const gtsam::Ordering& ordering); gtsam::DiscreteBayesNet eliminateSequential(); diff --git a/gtsam/nonlinear/nonlinear.i b/gtsam/nonlinear/nonlinear.i index b6ab086c4..a6883d38b 100644 --- a/gtsam/nonlinear/nonlinear.i +++ b/gtsam/nonlinear/nonlinear.i @@ -111,6 +111,11 @@ size_t mrsymbolIndex(size_t key); #include class Ordering { + /// Type of ordering to use + enum OrderingType { + COLAMD, METIS, NATURAL, CUSTOM + }; + // Standard Constructors and Named Constructors Ordering(); Ordering(const gtsam::Ordering& other); diff --git a/python/gtsam/tests/test_DiscreteFactorGraph.py b/python/gtsam/tests/test_DiscreteFactorGraph.py index 1ba145e09..ef85fc753 100644 --- a/python/gtsam/tests/test_DiscreteFactorGraph.py +++ b/python/gtsam/tests/test_DiscreteFactorGraph.py @@ -13,9 +13,11 @@ Author: Frank Dellaert import unittest -from gtsam import DiscreteFactorGraph, DiscreteKeys, DiscreteValues +from gtsam import DiscreteFactorGraph, DiscreteKeys, DiscreteValues, Ordering from gtsam.utils.test_case import GtsamTestCase +OrderingType = Ordering.OrderingType + class TestDiscreteFactorGraph(GtsamTestCase): """Tests for Discrete Factor Graphs.""" @@ -108,14 +110,50 @@ class TestDiscreteFactorGraph(GtsamTestCase): graph.add([C, A], "0.2 0.8 0.3 0.7") graph.add([C, B], "0.1 0.9 0.4 0.6") - actualMPE = graph.optimize() + # We know MPE + mpe = DiscreteValues() + mpe[0] = 0 + mpe[1] = 1 + mpe[2] = 1 - expectedMPE = DiscreteValues() - expectedMPE[0] = 0 - expectedMPE[1] = 1 - expectedMPE[2] = 1 + # Use maxProduct + dag = graph.maxProduct(OrderingType.COLAMD) + actualMPE = dag.argmax() self.assertEqual(list(actualMPE.items()), - list(expectedMPE.items())) + list(mpe.items())) + + # All in one + actualMPE2 = graph.optimize() + self.assertEqual(list(actualMPE2.items()), + list(mpe.items())) + + def test_sumProduct(self): + """Test sumProduct.""" + + # Declare a bunch of keys + C, A, B = (0, 2), (1, 2), (2, 2) + + # Create Factor graph + graph = DiscreteFactorGraph() + graph.add([C, A], "0.2 0.8 0.3 0.7") + graph.add([C, B], "0.1 0.9 0.4 0.6") + + # We know MPE + mpe = DiscreteValues() + mpe[0] = 0 + mpe[1] = 1 + mpe[2] = 1 + + # Use default sumProduct + bayesNet = graph.sumProduct() + mpeProbability = bayesNet(mpe) + self.assertAlmostEqual(mpeProbability, 0.36) # regression + + # Use sumProduct + for ordering_type in [OrderingType.COLAMD, OrderingType.METIS, OrderingType.NATURAL, + OrderingType.CUSTOM]: + bayesNet = graph.sumProduct(ordering_type) + self.assertEqual(bayesNet(mpe), mpeProbability) if __name__ == "__main__": From d6b977927e204c2817d2f3e23295a05e435f94da Mon Sep 17 00:00:00 2001 From: Frank Dellaert Date: Tue, 25 Jan 2022 23:47:53 -0500 Subject: [PATCH 3/4] Fix return type --- gtsam/discrete/DiscreteFactorGraph.cpp | 15 ++++++--------- gtsam/discrete/DiscreteFactorGraph.h | 2 +- gtsam/discrete/discrete.i | 6 +++--- gtsam/discrete/tests/testDiscreteFactorGraph.cpp | 5 +++++ 4 files changed, 15 insertions(+), 13 deletions(-) diff --git a/gtsam/discrete/DiscreteFactorGraph.cpp b/gtsam/discrete/DiscreteFactorGraph.cpp index b4b65f885..ebcac445c 100644 --- a/gtsam/discrete/DiscreteFactorGraph.cpp +++ b/gtsam/discrete/DiscreteFactorGraph.cpp @@ -149,16 +149,15 @@ namespace gtsam { DiscreteBayesNet DiscreteFactorGraph::sumProduct( OptionalOrderingType orderingType) const { gttic(DiscreteFactorGraph_sumProduct); - auto bayesNet = BaseEliminateable::eliminateSequential(orderingType); + auto bayesNet = eliminateSequential(orderingType); return *bayesNet; } - DiscreteLookupDAG DiscreteFactorGraph::sumProduct( + DiscreteBayesNet DiscreteFactorGraph::sumProduct( const Ordering& ordering) const { gttic(DiscreteFactorGraph_sumProduct); - auto bayesNet = - BaseEliminateable::eliminateSequential(ordering, EliminateForMPE); - return DiscreteLookupDAG::FromBayesNet(*bayesNet); + auto bayesNet = eliminateSequential(ordering); + return *bayesNet; } /* ************************************************************************ */ @@ -170,16 +169,14 @@ namespace gtsam { DiscreteLookupDAG DiscreteFactorGraph::maxProduct( OptionalOrderingType orderingType) const { gttic(DiscreteFactorGraph_maxProduct); - auto bayesNet = - BaseEliminateable::eliminateSequential(orderingType, EliminateForMPE); + auto bayesNet = eliminateSequential(orderingType, EliminateForMPE); return DiscreteLookupDAG::FromBayesNet(*bayesNet); } DiscreteLookupDAG DiscreteFactorGraph::maxProduct( const Ordering& ordering) const { gttic(DiscreteFactorGraph_maxProduct); - auto bayesNet = - BaseEliminateable::eliminateSequential(ordering, EliminateForMPE); + auto bayesNet = eliminateSequential(ordering, EliminateForMPE); return DiscreteLookupDAG::FromBayesNet(*bayesNet); } diff --git a/gtsam/discrete/DiscreteFactorGraph.h b/gtsam/discrete/DiscreteFactorGraph.h index 2e9b40823..f962b1802 100644 --- a/gtsam/discrete/DiscreteFactorGraph.h +++ b/gtsam/discrete/DiscreteFactorGraph.h @@ -147,7 +147,7 @@ class GTSAM_EXPORT DiscreteFactorGraph * @param ordering * @return DiscreteBayesNet encoding posterior P(X|Z) */ - DiscreteLookupDAG sumProduct(const Ordering& ordering) const; + DiscreteBayesNet sumProduct(const Ordering& ordering) const; /** * @brief Implement the max-product algorithm diff --git a/gtsam/discrete/discrete.i b/gtsam/discrete/discrete.i index 0dcbcc1cf..258286901 100644 --- a/gtsam/discrete/discrete.i +++ b/gtsam/discrete/discrete.i @@ -277,9 +277,9 @@ class DiscreteFactorGraph { double operator()(const gtsam::DiscreteValues& values) const; gtsam::DiscreteValues optimize() const; - gtsam::DiscreteLookupDAG sumProduct(); - gtsam::DiscreteLookupDAG sumProduct(gtsam::Ordering::OrderingType type); - gtsam::DiscreteLookupDAG sumProduct(const gtsam::Ordering& ordering); + gtsam::DiscreteBayesNet sumProduct(); + gtsam::DiscreteBayesNet sumProduct(gtsam::Ordering::OrderingType type); + gtsam::DiscreteBayesNet sumProduct(const gtsam::Ordering& ordering); gtsam::DiscreteLookupDAG maxProduct(); gtsam::DiscreteLookupDAG maxProduct(gtsam::Ordering::OrderingType type); diff --git a/gtsam/discrete/tests/testDiscreteFactorGraph.cpp b/gtsam/discrete/tests/testDiscreteFactorGraph.cpp index 63f5b7319..0a7d869ec 100644 --- a/gtsam/discrete/tests/testDiscreteFactorGraph.cpp +++ b/gtsam/discrete/tests/testDiscreteFactorGraph.cpp @@ -158,6 +158,11 @@ TEST(DiscreteFactorGraph, test) { // Test sumProduct alias with all orderings: auto mpeProbability = expectedBayesNet(mpe); EXPECT_DOUBLES_EQUAL(0.28125, mpeProbability, 1e-5); // regression + + // Using custom ordering + DiscreteBayesNet bayesNet = graph.sumProduct(ordering); + EXPECT_DOUBLES_EQUAL(mpeProbability, bayesNet(mpe), 1e-5); + for (Ordering::OrderingType orderingType : {Ordering::COLAMD, Ordering::METIS, Ordering::NATURAL, Ordering::CUSTOM}) { From 11c5bb97666877fa1e6a8f50e07ed3c9127ca539 Mon Sep 17 00:00:00 2001 From: Frank Dellaert Date: Wed, 26 Jan 2022 01:16:25 -0500 Subject: [PATCH 4/4] Fix docs (#1064) --- doc/Doxyfile.in | 2 +- doc/gtsam.lyx | 35 +++++++++++++++++++++++++++-------- doc/gtsam.pdf | Bin 826064 -> 825916 bytes doc/math.lyx | 8 ++++---- doc/math.pdf | Bin 273096 -> 273104 bytes python/gtsam/utils/plot.py | 14 +++++++++----- 6 files changed, 41 insertions(+), 18 deletions(-) diff --git a/doc/Doxyfile.in b/doc/Doxyfile.in index fd7f4e5f6..12193d0be 100644 --- a/doc/Doxyfile.in +++ b/doc/Doxyfile.in @@ -1188,7 +1188,7 @@ USE_MATHJAX = YES # MathJax, but it is strongly recommended to install a local copy of MathJax # before deployment. -MATHJAX_RELPATH = https://cdn.mathjax.org/mathjax/latest +# MATHJAX_RELPATH = https://cdn.mathjax.org/mathjax/latest # The MATHJAX_EXTENSIONS tag can be used to specify one or MathJax extension # names that should be enabled during MathJax rendering. diff --git a/doc/gtsam.lyx b/doc/gtsam.lyx index a5adc2b60..29d03cd35 100644 --- a/doc/gtsam.lyx +++ b/doc/gtsam.lyx @@ -1,5 +1,5 @@ -#LyX 2.2 created this file. For more info see http://www.lyx.org/ -\lyxformat 508 +#LyX 2.3 created this file. For more info see http://www.lyx.org/ +\lyxformat 544 \begin_document \begin_header \save_transient_properties true @@ -62,6 +62,8 @@ \font_osf false \font_sf_scale 100 100 \font_tt_scale 100 100 +\use_microtype false +\use_dash_ligatures true \graphics default \default_output_format default \output_sync 0 @@ -91,6 +93,7 @@ \suppress_date false \justification true \use_refstyle 0 +\use_minted 0 \index Index \shortcut idx \color #008000 @@ -105,7 +108,10 @@ \tocdepth 3 \paragraph_separation indent \paragraph_indentation default -\quotes_language english +\is_math_indent 0 +\math_numbering_side default +\quotes_style english +\dynamic_quotes 0 \papercolumns 1 \papersides 1 \paperpagestyle default @@ -168,6 +174,7 @@ Factor graphs \begin_inset CommandInset citation LatexCommand citep key "Koller09book" +literal "true" \end_inset @@ -270,6 +277,7 @@ Let us start with a one-page primer on factor graphs, which in no way replaces \begin_inset CommandInset citation LatexCommand citet key "Kschischang01it" +literal "true" \end_inset @@ -277,6 +285,7 @@ key "Kschischang01it" \begin_inset CommandInset citation LatexCommand citet key "Loeliger04spm" +literal "true" \end_inset @@ -1321,6 +1330,7 @@ r in a pre-existing map, or indeed the presence of absence of ceiling lights \begin_inset CommandInset citation LatexCommand citet key "Dellaert99b" +literal "true" \end_inset @@ -1542,6 +1552,7 @@ which is done on line 12. \begin_inset CommandInset citation LatexCommand citealt key "Dellaert06ijrr" +literal "true" \end_inset @@ -1936,8 +1947,8 @@ reference "fig:CompareMarginals" \end_inset -, where I show the marginals on position as covariance ellipses that contain - 68.26% of all probability mass. +, where I show the marginals on position as 5-sigma covariance ellipses + that contain 99.9996% of all probability mass. For the odometry marginals, it is immediately apparent from the figure that (1) the uncertainty on pose keeps growing, and (2) the uncertainty on angular odometry translates into increasing uncertainty on y. @@ -1992,6 +2003,7 @@ PoseSLAM \begin_inset CommandInset citation LatexCommand citep key "DurrantWhyte06ram" +literal "true" \end_inset @@ -2190,9 +2202,9 @@ reference "fig:example" \end_inset , along with covariance ellipses shown in green. - These covariance ellipses in 2D indicate the marginal over position, over - all possible orientations, and show the area which contain 68.26% of the - probability mass (in 1D this would correspond to one standard deviation). + These 5-sigma covariance ellipses in 2D indicate the marginal over position, + over all possible orientations, and show the area which contain 99.9996% + of the probability mass. The graph shows in a clear manner that the uncertainty on pose \begin_inset Formula $x_{5}$ \end_inset @@ -3076,6 +3088,7 @@ reference "fig:Victoria-1" \begin_inset CommandInset citation LatexCommand citep key "Kaess09ras" +literal "true" \end_inset @@ -3088,6 +3101,7 @@ key "Kaess09ras" \begin_inset CommandInset citation LatexCommand citep key "Kaess08tro" +literal "true" \end_inset @@ -3355,6 +3369,7 @@ iSAM \begin_inset CommandInset citation LatexCommand citet key "Kaess08tro,Kaess12ijrr" +literal "true" \end_inset @@ -3606,6 +3621,7 @@ subgraph preconditioning \begin_inset CommandInset citation LatexCommand citet key "Dellaert10iros,Jian11iccv" +literal "true" \end_inset @@ -3638,6 +3654,7 @@ Visual Odometry \begin_inset CommandInset citation LatexCommand citet key "Nister04cvpr2" +literal "true" \end_inset @@ -3661,6 +3678,7 @@ Visual SLAM \begin_inset CommandInset citation LatexCommand citet key "Davison03iccv" +literal "true" \end_inset @@ -3711,6 +3729,7 @@ Filtering 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=\left(ge^{\xhat}\right)^{-1}h=-e^{\xhat}g^{-1}h\nonumber \\ -e^{\yhat} & =-\left(h^{-1}g\right)e^{\xhat}\left(h^{-1}g\right)^{-1}=-\exp\Ad{\left(h^{-1}g\right)}\xhat\nonumber \\ +g^{-1}he^{\yhat} & =\left(ge^{\xhat}\right)^{-1}h=e^{-\xhat}g^{-1}h\nonumber \\ +e^{\yhat} & =\left(h^{-1}g\right)e^{-\xhat}\left(h^{-1}g\right)^{-1}=\exp\Ad{\left(h^{-1}g\right)}(-\xhat)\nonumber \\ \yhat & =-\Ad{\left(h^{-1}g\right)}\xhat=-\Ad{\varphi\left(h,g\right)}\xhat\label{eq:Dbetween1} \end{align} @@ -6674,7 +6674,7 @@ One representation of a line is through 2 vectors \begin_inset Formula $d$ \end_inset - points from the orgin to the closest point on the line. + points from the origin to the closest point on the line. \end_layout \begin_layout Standard diff --git a/doc/math.pdf b/doc/math.pdf index 40980354ead4a2339ffb1ef0636825a77fad1cac..71533e1e830e173ccca6dcd665f6adccb35d4d6d 100644 GIT binary patch delta 10465 zcmai%Lv$q!w5(&CBz z98OJrJP7)nf|>+jOCUSytxm%Q1mdoJ!d@-!_my_b1&VMHMegkyXTuZ20l5)f!pRkO 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zGCtRtGnmE1oifaTDNUG7Jk1m p = 99.9996 % def set_axes_equal(fignum: int) -> None: """ @@ -125,10 +132,7 @@ def plot_point2_on_axes(axes, if P is not None: w, v = np.linalg.eig(P) - # "Sigma" value for drawing the uncertainty ellipse. 5 sigma corresponds - # to a 99.9999% confidence, i.e. assuming the estimation has been - # computed properly, there is a 99.999% chance that the true position - # of the point will lie within the uncertainty ellipse. + # 5 sigma corresponds to 99.9996%, see note above k = 5.0 angle = np.arctan2(v[1, 0], v[0, 0]) @@ -205,7 +209,7 @@ def plot_pose2_on_axes(axes, w, v = np.linalg.eig(gPp) - # k = 2.296 + # 5 sigma corresponds to 99.9996%, see note above k = 5.0 angle = np.arctan2(v[1, 0], v[0, 0])