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Related papers: Entropic associative memory for real world images

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It is well-known that Abstract State Machines (ASMs) can simulate "step-by-step" any type of machines (Turing machines, RAMs, etc.). We aim to overcome two facts: 1) simulation is not identification, 2) the ASMs simulating machines of some…

Formal Languages and Automata Theory · Computer Science 2010-03-26 Serge Grigorieff , Pierre Valarcher

Identifying computational mechanisms for memorization and retrieval of data is a long-standing problem at the intersection of machine learning and neuroscience. Our main finding is that standard overparameterized deep neural networks…

Machine Learning · Computer Science 2022-05-25 Adityanarayanan Radhakrishnan , Mikhail Belkin , Caroline Uhler

Recently, learned image compression has achieved remarkable performance. The entropy model, which estimates the distribution of the latent representation, plays a crucial role in boosting rate-distortion performance. However, most entropy…

Image and Video Processing · Electrical Eng. & Systems 2024-09-16 Wei Jiang , Jiayu Yang , Yongqi Zhai , Peirong Ning , Feng Gao , Ronggang Wang

Recent generalizations of the Hopfield model of associative memories are able to store a number $P$ of random patterns that grows exponentially with the number $N$ of neurons, $P=\exp(\alpha N)$. Besides the huge storage capacity, another…

Disordered Systems and Neural Networks · Physics 2024-02-14 Carlo Lucibello , Marc Mézard

This paper presents a cognition-inspired agnostic framework for building a map for Visual Place Recognition. This framework draws inspiration from human-memorability, utilizes the traditional image entropy concept and computes the static…

Computer Vision and Pattern Recognition · Computer Science 2019-03-22 Mubariz Zaffar , Shoaib Ehsan , Michael Milford , Klaus Mcdonald Maier

We revisit the long-standing question of the relation between image appreciation and its statistical properties. We generate two different sets of random images well distributed along three measures of entropic complexity. We run a…

Statistical Mechanics · Physics 2020-07-01 Samy Lakhal , Alexandre Darmon , Jean-Philippe Bouchaud , Michael Benzaquen

We present an algebraic approach to evolutionary accumulation modelling (EvAM). EvAM is concerned with learning and predicting the order in which evolutionary features accumulate over time. Our approach is complementary to the more common…

Applications · Statistics 2026-04-29 Jessica Renz , Frederik Witt , Iain G. Johnston

Entropy is a central concept in physics, but can be challenging to calculate even for systems that are easily simulated. This is exacerbated out of equilibrium, where generally little is known about the distribution characterizing simulated…

Statistical Mechanics · Physics 2024-05-09 Samuel D. Gelman , Guy Cohen

Dense Associative Memories or Modern Hopfield Networks have many appealing properties of associative memory. They can do pattern completion, store a large number of memories, and can be described using a recurrent neural network with a…

Neural and Evolutionary Computing · Computer Science 2021-07-29 Dmitry Krotov

We consider probabilistic topic models and more recent word embedding techniques from a perspective of learning hidden semantic representations. Inspired by a striking similarity of the two approaches, we merge them and learn probabilistic…

Computation and Language · Computer Science 2017-11-15 Anna Potapenko , Artem Popov , Konstantin Vorontsov

The generative process of Diffusion Models (DMs) has recently set state-of-the-art on many AI generation benchmarks. Though the generative process is traditionally understood as an "iterative denoiser", there is no universally accepted…

Machine Learning · Computer Science 2024-05-29 Benjamin Hoover , Hendrik Strobelt , Dmitry Krotov , Judy Hoffman , Zsolt Kira , Duen Horng Chau

By leveraging tools from the statistical mechanics of complex systems, in these short notes we extend the architecture of a neural network for hetero-associative memory (called three-directional associative memories, TAM) to explore…

Disordered Systems and Neural Networks · Physics 2025-03-07 Andrea Alessandrelli , Adriano Barra , Andrea Ladiana , Andrea Lepre , Federico Ricci-Tersenghi

MemComputing is a new model of computation that exploits the non-equilibrium property-we call 'memory'-of any physical system to respond to external perturbations by keeping track of how it has reacted at previous times. Its digital,…

Disordered Systems and Neural Networks · Physics 2025-12-05 Massimiliano Di Ventra

An assembly is a large population of neurons whose synchronous firing is hypothesized to represent a memory, concept, word, and other cognitive categories. Assemblies are believed to provide a bridge between high-level cognitive phenomena…

Neural and Evolutionary Computing · Computer Science 2022-07-05 Max Dabagia , Christos H. Papadimitriou , Santosh S. Vempala

Episodic memory plays an important role in the behavior of animals and humans. It allows the accumulation of information about current state of the environment in a task-agnostic way. This episodic representation can be later accessed by…

Neural and Evolutionary Computing · Computer Science 2019-05-08 Artyom Y. Sorokin , Mikhail S. Burtsev

The task of a neural associative memory is to retrieve a set of previously memorized patterns from their noisy versions using a network of neurons. An ideal network should have the ability to 1) learn a set of patterns as they arrive, 2)…

Neural and Evolutionary Computing · Computer Science 2014-07-25 Amin Karbasi , Amir Hesam Salavati , Amin Shokrollahi

Dense Associative Memories or modern Hopfield networks permit storage and reliable retrieval of an exponentially large (in the dimension of feature space) number of memories. At the same time, their naive implementation is non-biological,…

Neurons and Cognition · Quantitative Biology 2021-04-29 Dmitry Krotov , John Hopfield

We investigate a recurrent neural network model with common external and bias inputs that can retrieve branching sequences. Retrieval of memory sequences is one of the most important functions of the brain. A lot of research has been done…

Disordered Systems and Neural Networks · Physics 2009-11-13 Kentaro Katahira , Masaki Kawamura , Kazuo Okanoya , Masato Okada

Current approaches to memory in Large Language Models (LLMs) predominantly rely on static Retrieval-Augmented Generation (RAG), which often results in scattered retrieval and fails to capture the structural dependencies required for complex…

Computation and Language · Computer Science 2026-02-11 Zhengxuan Lu , Dongfang Li , Yukun Shi , Beilun Wang , Longyue Wang , Baotian Hu

Associative memories are devices storing information that can be fully retrieved given partial disclosure of it. We examine a toy model of associative memory and the ultimate limitations it is subjected to within the framework of general…

Quantum Physics · Physics 2023-11-07 Ludovico Lami , Daniel Goldwater , Gerardo Adesso