Combinatorial Network-Based Manifold Topological Deep Learning for Image Analysis

arXiv:2609.25453 · cs.CV, q-bio.BM · Submitted 2026-09-21 · Read on arXiv

cs.CV, q-bio.BM

Submitted: 2026-09-21

Updated: 2026-09-21

Code: https://github.com/wachiraa26/CNMTDL

Terminology

• AUC — 44× in this paper · explained in 2 episodes
• Topological Deep Learning — 11× in this paper
• Benchmark — 10× in this paper · explained in 2 episodes
• Embeddings — 7× in this paper · explained in 2 episodes
• Accuracy — 6× in this paper · explained in 1 episode
• Transformer — 6× in this paper · explained in 2 episodes
• Ablation — 4× in this paper · explained in 1 episode
• Aggregation — 3× in this paper · explained in 1 episode
• Combinatorial Complex Neural Networks — 3× in this paper
• Combinatorial Network-Based Manifold Topological Deep Learning — 3× in this paper
• Persistent Homology — 3× in this paper · explained in 3 episodes
• Robustness — 3× in this paper · explained in 5 episodes
• Attention Mechanism — 2× in this paper · explained in 3 episodes
• Loss Function — 2× in this paper · explained in 2 episodes
• Ablation study — 1× in this paper · explained in 1 episode
• Activation Function — 1× in this paper · explained in 1 episode
• Adam — 1× in this paper · explained in 2 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Area Under the Receiver Operating Characteristic Curve — 1× in this paper
• Computational Biology — 1× in this paper · explained in 2 episodes
• Data Augmentation — 1× in this paper · explained in 7 episodes
• GNNs — 1× in this paper · explained in 2 episodes
• Uniform Manifold Approximation and Projection — 1× in this paper

Sources

• Cell Complex Neural Networks
• Topological Deep Learning: Going Beyond Graph Data
• An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale
• Complex Mixer for MedMNIST Classification Decathlon

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