From 69f9b765c96ec4453f9ebd52d76f8ab9001825fe Mon Sep 17 00:00:00 2001 From: Sean Phillips Date: Tue, 21 Oct 2025 12:24:57 -0400 Subject: [PATCH 1/4] Added screenshots to README.md for new statistical analysis tools. --- README.md | 14 ++++++++++++++ media/Trinity-JointPDFGenerator.png | Bin 0 -> 215399 bytes media/Trinity-PDFCDF-Generator.png | Bin 0 -> 100267 bytes media/Trinity-SimilarityMatrix.png | Bin 0 -> 246386 bytes 4 files changed, 14 insertions(+) create mode 100644 media/Trinity-JointPDFGenerator.png create mode 100644 media/Trinity-PDFCDF-Generator.png create mode 100644 media/Trinity-SimilarityMatrix.png diff --git a/README.md b/README.md index a88c4e80..d5054db4 100644 --- a/README.md +++ b/README.md @@ -234,6 +234,19 @@ of 2D panes to provide extra helper tools. These overlays are extensions of the of the author of LitFX is rivaled only possibly by the author's stunning lumberjack good looks. A few of these helper tools are shown below: +### Probability Density and Cumulative Distribution Functions + +![Trinity-PDFCDF-Generator](/media/Trinity-PDFCDF-Generator.png) + +### Joint Probability Density Grid + +![Trinity-JointPDFGenerator](/media/Trinity-JointPDFGenerator.png) + +### Similarity and Divergence Matrix + +![Trinity-SimilarityMatrix](/media/Trinity-SimilarityMatrix.png) + + ### Natural Language Query There is a command terminal that you can enter natural language queries to using @@ -305,6 +318,7 @@ inverse FFT, can be tessellated into the Hypersurface on demand. - Sean M Phillips - Melanie Lockhart - Samuel Matos +- David Penn - Gene Whipps - Griffin Milsap - David Newcomer diff --git a/media/Trinity-JointPDFGenerator.png b/media/Trinity-JointPDFGenerator.png new file mode 100644 index 0000000000000000000000000000000000000000..8cb88e2f4cf7b14a37380abb913e1de07a872f15 GIT binary patch literal 215399 zcmeFY2T)U8*Z6xtY#^ejAktJ+RGLzyV*?Zc5tR-iy@lQb!GegCh)8b=3JOB#p%YPR 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zg>F0-_Tn3Q4epVQL3Zc)PDcA_w`V4-sf$U%_%|s)8yo*IRLwchbmZymKFmuqTWd{% zlS{sE?9LQLnp2=ys&Opi?#{wKgp#L)a6~38HKo7KiGa2U%Ihj9xis2y{VCcK(duML zbs9nEpJo-5RC5a^n7K2pITxj)u(70ET0!v)d!up59qY^yr|rz*%d>Hol7y>6#Ti`h zq~iVz8l63Bm*2|c|1gHimc$kHuwr8K{7Ht2UO=3gBx z(42mlG1Zk<8rXD|dd3oRX4ZxMA|_pv7$#cNkIp{}&1Z{ik@mjKuu{mRv8#KUj%Uyw z@H_nyYz2gel)Tg#ELtSQB-{6meJT0{I;oN*zUxCe8v3=rH{XN+FuV Date: Tue, 21 Oct 2025 12:46:52 -0400 Subject: [PATCH 2/4] Added description to Joint PDF --- README.md | 31 +++++++++++++++++++++++++++++++ 1 file changed, 31 insertions(+) diff --git a/README.md b/README.md index d5054db4..c11fc5ea 100644 --- a/README.md +++ b/README.md @@ -242,6 +242,37 @@ lumberjack good looks. A few of these helper tools are shown below: ![Trinity-JointPDFGenerator](/media/Trinity-JointPDFGenerator.png) +This grid of Joint PDFs becomes a diagnostic dashboard for understanding and +improving scoring systems. Each plot thumbnail shows how two of the dimensions +of a vector system behave together across many samples. The color pattern +indicates a density of occurrence and can indicate strength of presence over time. + +A Pearson correlation coefficient for each pair of variables/dimensions is computed. +This provides a correlation score between -1 and 1: + ++1: Perfect positive relationship (metrics move together). + +0: No relationship. + +-1: Perfect negative relationship (as one goes up, the other goes down). + +This allows Trinity to order the combinations by correlation and establish a +ranking. Correlation ranking illuminates which metrics overlap in meaning versus +which ones bring new perspective. + +Ranking: + +Descending (high → low correlation): + +Pairs at the top are most similar — possibly redundant metrics. +Pairs at the bottom are least related — they provide unique information. + +Ascending (low → high correlation): + +Pairs at the top are most distinct — potentially the most valuable for diversifying how we measure similarity. +Pairs at the bottom are redundant — maybe candidates for pruning or simplifying the model. + + ### Similarity and Divergence Matrix ![Trinity-SimilarityMatrix](/media/Trinity-SimilarityMatrix.png) From 4d525d4860cd61000d1435383e837403e6308905 Mon Sep 17 00:00:00 2001 From: Sean Phillips Date: Wed, 22 Oct 2025 06:47:56 -0400 Subject: [PATCH 3/4] Description for JPDF --- README.md | 10 ++++++++-- 1 file changed, 8 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index c11fc5ea..d088199e 100644 --- a/README.md +++ b/README.md @@ -240,10 +240,16 @@ lumberjack good looks. A few of these helper tools are shown below: ### Joint Probability Density Grid +A Joint PDF shows how two variables tend to behave together. It shows +relationships between different variables/dimensions. This then helps identify +redundant metrics (those that behave almost the same) or complementary metrics +(those that capture different aspects of network similarity). It can reveal +nonlinear patterns that a simple average correlation might miss. + ![Trinity-JointPDFGenerator](/media/Trinity-JointPDFGenerator.png) -This grid of Joint PDFs becomes a diagnostic dashboard for understanding and -improving scoring systems. Each plot thumbnail shows how two of the dimensions +This grid of Joint PDFs is a diagnostic dashboard for understanding and +improving systems of variables (or scores). Each plot thumbnail shows how two of the dimensions of a vector system behave together across many samples. The color pattern indicates a density of occurrence and can indicate strength of presence over time. From 664a9fcf6ea2e9fb283fcdaf776aaeee5ae7d550 Mon Sep 17 00:00:00 2001 From: Sean Phillips Date: Sat, 25 Oct 2025 08:25:37 -0400 Subject: [PATCH 4/4] updates describing similarity matrix --- README.md | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index d088199e..c80975da 100644 --- a/README.md +++ b/README.md @@ -282,7 +282,18 @@ Pairs at the bottom are redundant — maybe candidates for pruning or simplifyin ### Similarity and Divergence Matrix ![Trinity-SimilarityMatrix](/media/Trinity-SimilarityMatrix.png) - + +The Similarity Matrix is a heatmap where every row/column is one similarity +feature computed between two features of your vectors. Each square shows how +strongly two features “move together” across all samples of a "cohort". +How to read: +- Bright/hot = those two features usually agree +- Dark/cold = they tell different stories + +Per-cell JPDF surface (3D “joint probability” view): clicking any square opens +a surface plot for just that pair of features. It shows where the data actually +lives when you look at those two similarity scores together for all network-pairs. +Think of it as the shape of agreement/disagreement between two metrics. ### Natural Language Query