Sophia Sanborn, a postdoctoral scholar at the University of California, Santa Barbara, discusses the concept of universality between neural representations and deep neural networks. Topics include the implementation of bi-spectral spectrum in achieving invariance, expansion of geometric deep learning, and similarities in the structure of artificial and biological neural networks.
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Quick takeaways
Understanding the distinction between living and non-living systems, and the importance of formal models in studying representation and information encoding.
The incorporation of geometric and group structure into machine learning algorithms can lead to more efficient and accurate computations, reducing the need for extensive data augmentation.
Deep dives
Importance of Representation in Living Systems
The concept of representation is a driving factor in understanding the distinction between living and non-living systems. Living systems encode and store information from the external world through sensors, transforming it into electrical activity in the brain. This transformation allows for rich perceptual and cognitive experiences.
The Connection Between Philosophy and Computer Science
Analytical philosophy and the origins of computer science are closely linked. Early 20th-century thinkers like Bob Shannon, Alan Turing, and Kurt Godel explored formal systems to understand representation and intelligence. This connection highlights the importance of formal models in the study of representation and information encoding.
Neural Representation of Features
The neuroscience field has established that individual neurons in the brain represent semantically meaningful features. For example, neurons in the primary visual cortex detect oriented edges. Similar features are discovered in deep neural networks trained for various tasks. This consistency suggests underlying principles that guide both biological and artificial systems in feature representation.
Learning Group Structure in Neural Networks
Research is exploring the incorporation of geometric and group structure into machine learning algorithms. By imposing invariance and constraining neural networks to learn group structure, more efficient and accurate computations can be achieved. This approach has shown promise in capturing the transformation structure of data and can potentially reduce the need for extensive data augmentation.
Today we’re joined by Sophia Sanborn, a postdoctoral scholar at the University of California, Santa Barbara. In our conversation with Sophia, we explore the concept of universality between neural representations and deep neural networks, and how these principles of efficiency provide an ability to find consistent features across networks and tasks. We also discuss her recent paper on Bispectral Neural Networks which focuses on Fourier transform and its relation to group theory, the implementation of bi-spectral spectrum in achieving invariance in deep neural networks, the expansion of geometric deep learning on the concept of CNNs from other domains, the similarities in the fundamental structure of artificial neural networks and biological neural networks and how applying similar constraints leads to the convergence of their solutions.
The complete show notes for this episode can be found at twimlai.com/go/644.
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