4 papers
Stochastic Thermodynamics of Associative Memory
Spencer Rooke, Dmitry Krotov, Vijay Balasubramanian +1
Dense Associative Memory networks (DenseAMs) unify several popular paradigms in Artificial Intelligence (AI), such as Hopfield Networks, transformers, and diffusion models, while c…
A Biologically Plausible Dense Associative Memory with Exponential Capacity
Mohadeseh Shafiei Kafraj, Dmitry Krotov, Peter E. Latham
Krotov and Hopfield (2021) proposed a biologically plausible two-layer associative memory network with memory storage capacity exponential in the number of visible neurons. However…
Dense Associative Memories with Analog Circuits
Marc Gong Bacvanski, Xincheng You, John Hopfield +1
The increasing computational demands of modern AI systems have exposed fundamental limitations of digital hardware, driving interest in alternative paradigms for efficient large-sc…
Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach
Qian Zhang, Dmitry Krotov, George Em Karniadakis
Machine learning methods have shown great success in various scientific areas, including fluid mechanics. However, reconstruction problems, where full velocity fields must be recov…