Admir Selimovic Research+Dev Index

Glypta.com Shape Search

Web-based engine for 3D shape similarity matching.
Machine Learning C++ Python AWS Django

Geometric Cell Complex Neural Networks: Message Passing Mechanism

Mathematical and computational definition of the message passing mechanism in Geometric Complex Neural Networks.
Deep Learning
Mathematical Modelling

Representation Stability under 3D Rotation in Message Passing Neural Networks

Experimental study of learned representation retention in Graph Neural Networks against 3D rotational disturbances in input.
Deep Learning Python PyTorch PyG PyTorch Lightning

Force Prediction in 3D Structural Design with GCCNNs

Experiment with Geometric Cell Complex Neural Networks on the 3DGS20 dataset.
Deep Learning Python PyTorch PyG PyTorch Lightning

Message Passing Neural Networks: 3D Shape Class Prediction

Implementation of the Message Passing Neural Networks (MPNNs) for 3D model classification.
Deep Learning
Python
PyTorch
PyG
PyTorch Lightning

Oresme [C++]: 3D Shape Feature Engineering for Machine Learning Readiness

Fast principal curvature computation with C++.
3D Computer Graphics
Computational Geometry
Geometry Processing
Feature Engineering
C++

3DGS20 Dataset

30,000 structural designs with 36 regression targets.
Open Dataset PyTorch PyG

Spherics: Spherical Harmonics and the Irreducible Representations of SO(3)

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Mathematical Study
Harmonic Analysis
Group Theory
Representation Theory

Folium: Image Segmentation for Exsiccata Libraries

Specialised image segmentation and background removal for exsiccata libraries.
Computer Vision
Image Segmentation
Background Removal
Wolfram Mathematica

Permutation Symmetry Group G-Map and Invariant Map: Sets, Graphs, Simplicial Complexes, and Cell Complexes

A mathematical study.
Mathematical Study
Group Theory

Orientation-Preserving Automorphism Group G-Map and Invariant Map: Simplicial Complexes and Cell Complexes

A mathematical study.
Mathematical Study
Group Theory

Oresme [Wolfram Mathematica]: 3D Shape Feature Engineering for Machine Learning Readiness

Specialised mesh processing and point cloud generation for machine learning on 3D models.
3D Computer Graphics
Computational Geometry
Geometry Processing
Feature Engineering
Wolfram Mathematica

G-Morphic Multilayer Perceptron: Linearity

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Mathematical Study
Deep Learning

G-Morphic Multilayer Perceptron: Nonlinearity

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Mathematical Study
Deep Learning