How are memories stored in neural networks? | The Hopfield Network #SoME2

Can we measure memories in networks of neurons in bytes? Or should we think of our memory differently? Submission to the Summer of Math Exposition 2022 (#SoME2). More information: Time stamps: 0:00 - Where is your memory? 1:41 - Computer memory in a nutshell 2:58 - Modeling neural networks 4:42 - Memories in dynamical systems 9:54 - Learning 13:36 - Memory capacity and conclusion Animations largely made using the manim community edition: Original Paper on Hopfield Networks: Hopfield, J. J. (1982). Neural networks and physical systems with emergent collective computational abilities. Proceedings of the national academy of sciences, 79(8), 2554-2558. Neuron image by Santiago Ramón y Cajal, The pyramidal neuron of the cerebral cortex, 1904 Ink and pencil on paper, 8 5/8 x 6 7/8 in. Credit: Cajal Institute (CSIC), Madrid Music: Aakash Gandhi - “Dreamland“