Beyond the Patterns 32 - Raghavendra Selvan: Quantum Tensor Networks for Medical Image Analysis

0:04 Opening
1:59 Introduction by Raghav
5:19 Introduction to Quantum Tensor Networks
12:09 Penrose's Tensor Notation
14:20 Linear Models in High-dimensional Spaces
22:26 Tensor dot product approximations
30:10 Tensor Networks for Medical Image Classification
35:01 Classification Evaluation
40:12 Tensor Networks for Image Segmentation
45:17 Segmentation Evaluation
49:22 Summary & Conclusion
55:38 Discussion
1:10:19 Concluding Remarks

It’s a great pleasure to welcome Raghav Selvan from the University of Copenhagen at our lab!

Abstract: Quantum Tensor Networks (QTNs) provide efficient approximations of operations involving high dimensional tensors and have been extensively used in modeling quantum many-body systems and also compressing large neural networks. More recently, supervised learning has been attempted with tensor networks, and has primarily focused on classification of 1D signals and small images. In this talk, we will look at two formulations of QTN-based models for 2D & 3D medical image classification and 2D  medical image segmentation. Both the classification and segmentation models use the matrix product state (MPS) tensor network under the hood, which efficiently learns linear decision rules in high dimensional spaces. These QTN models are fully linear, end-to-end trainable using backpropagation, and have a lower GPU memory footprint than convolutional neural networks (CNN). We show competitive performance compared to relevant CNN baselines on multiple datasets for classification and segmentation tasks while presenting interesting connections to other existing supervised learning methods.

Bio: Raghavendra Selvan (Raghav) is currently an Assistant Professor at the University of Copenhagen, with joint responsibilities at the Machine Learning Section (Dept. of Computer Science), Kiehn Lab (Department of Neuroscience), and the Data Science Laboratory. He received his Ph.D. in Medical Image Analysis (University of Copenhagen, 2018), his MSc degree in Communication Engineering in 2015 (Chalmers University, Sweden), and his Bachelor's degree in Electronics and Communication Engineering degree in 2009 (BMS Institute of Technology, India). Raghavendra Selvan was born in Bangalore, India.

His current research interests are broadly pertaining to Medical Image Analysis using Quantum Tensor Networks, Resource-efficient ML, Bayesian Machine Learning, Graph-neural networks, Approximate Inference, and multi-object tracking theory.

References

Music Reference:
Damiano Baldoni - Thinking of You (Intro)
Damiano Baldoni - Poenia (Outro)