archivedEnterprise AI/ML Frameworks

Volumetry: Multidimensional Probability Modeling

Research project focused on volumetric probability distribution modeling and visualization. Implements novel techniques for modeling complex multidimensional distributions using gaussian kernels, decision trees, and equipotential surface analysis.

Key Research Findings

Developed gaussian kernel extrusion techniques along random splines for complex distribution modeling

Implemented marginal density projection operations for multi-dimensional probability visualization

Created novel equipotential surface finding algorithms that uniformly sample solution spaces

Successfully modeled 3D logistic map distributions with entropy analysis

Demonstrated effectiveness of decision tree-based volumetric modeling approaches

Achieved both slicing and projection operations for multidimensional model analysis

Technical Details & Impact

Technologies Used

JavaDecision TreesGaussian Kernels3D ModelingProbability TheoryNumerical Analysis

Research Status

Last updated: 2015

Research Impact

Contributed novel approaches to volumetric probability modeling and established techniques for equipotential surface analysis in multidimensional spaces

This research is part of ongoing open-source development. Contributions, discussions, and collaborations are welcome.