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concept:hopfield-network-memory-capacity-scalingHopfield Network Memory Capacity Scaling
Technical issue: original Hopfield networks scale linearly with neuron count; exponential activations enable 2^(N/2) scaling but softmax used in TEM-t has intermediate properties.
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- Analytical result showing exponential power activation allows memory storage scaling as 2^(N/2); cited in context of Hopfield scaling.
- Storing infinite numbers of patterns in a spin-glass model of neural networks (Amit et al., 1985)citesResult that original Hopfield network memory capacity scales linearly with network dimensionality; background for scaling discussion.
Related by similarity (8)
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- Summary of known Hopfield network capabilities used as a model for collective computation.
- A recurrent connectionist architecture that implements associative memory and distributed computation through symmetric weighted connections and Hebbian learning rules. The network converges to stable states through recurrent dynamics, enabling both memory retrieval and combinatorial problem-solving in a fully distributed manner.
- Paper showing Hopfield networks are closely related to transformers; key intermediary result used to connect TEM to transformers.
- Problem that naive triple-conjunction in TEM would increase hippocampal neuron count by factor nc; TEM-t avoids this.
- The pressure on models trained on more tasks to find representations that generalize across all tasks, reducing the solution space
- Processes scaling goals and stressors form positive feedback loop with modularity; both arise from and potentiate power of evolution, enabling specific predictions for cognitive capacity scaling.
- Large Associative Memory Problem in Neurobiology and Machine Learning (Krotov & Hopfield, 2020)concept0.678Paper proposing neurally plausible instantiation of Hopfield/transformer with feature neurons and memory neurons; used to derive place cell interpretation.