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The use of high-dimensional data for targeted therapeutic interventions requires new ways to characterize the heterogeneity observed across subgroups of a specific population. In particular, models for partially exchangeable data are needed…

Methodology · Statistics 2020-08-18 Francesco Denti , Federico Camerlenghi , Michele Guindani , Antonietta Mira

Standard autoregressive seq2seq models are easily trained by max-likelihood, but tend to show poor results under small-data conditions. We introduce a class of seq2seq models, GAMs (Global Autoregressive Models), which combine an…

Machine Learning · Computer Science 2019-09-23 Tetiana Parshakova , Jean-Marc Andreoli , Marc Dymetman

Uncovering the mechanisms behind long-term memory is one of the most fascinating open problems in neuroscience and artificial intelligence. Artificial associative memory networks have been used to formalize important aspects of biological…

Machine Learning · Statistics 2023-11-20 Luca Ambrogioni

This paper presents a novel approach to address the challenge of online sequence learning for decision making under uncertainty in non-stationary, partially observable environments. The proposed algorithm, Distributed Hebbian Temporal…

Machine Learning · Computer Science 2025-06-03 Evgenii Dzhivelikian , Petr Kuderov , Aleksandr I. Panov

As proposed by Hebb's theory, neural assemblies are groups of excitatory neurons that fire synchronously and exhibit high synaptic density, representing external stimuli and supporting cognitive functions such as language and…

Neurons and Cognition · Quantitative Biology 2026-04-16 Lucas Hoff , Gustavo Soroka , Matheus Guimarães , Aline Villavicencio , Marco Idiart

The potential for associative recall of diluted neuronal networks is investigated with respect to several biologically relevant configurations, more specifically the position of the cells along the input space and the spatial distribution…

Statistical Mechanics · Physics 2015-06-24 Luciano da Fontoura Costa , Dietrich Stauffer

An important goal of medical imaging is to be able to precisely detect patterns of disease specific to individual scans; however, this is challenged in brain imaging by the degree of heterogeneity of shape and appearance. Traditional…

Understanding how neural networks generalize on unseen data is crucial for designing more robust and reliable models. In this paper, we study the generalization gap of neural networks using methods from topological data analysis. For this…

In this work we develop analytical techniques to investigate a broad class of associative neural networks set in the high-storage regime. These techniques translate the original statistical-mechanical problem into an analytical-mechanical…

Disordered Systems and Neural Networks · Physics 2020-04-17 Elena Agliari , Francesco Alemanno , Adriano Barra , Alberto Fachechi

We propose a higher-level associative memory for learning adversarial networks. Generative adversarial network (GAN) framework has a discriminator and a generator network. The generator (G) maps white noise (z) to data samples while the…

Machine Learning · Computer Science 2016-11-23 Tarik Arici , Asli Celikyilmaz

We propose a modification of the cost function of the Hopfield model whose salient features shine in its Taylor expansion and result in more than pairwise interactions with alternate signs, suggesting a unified framework for handling both…

Disordered Systems and Neural Networks · Physics 2018-01-08 Adriano Barra , Matteo Beccaria , Alberto Fachechi

This paper presents a Bayesian reformulation of covariate-assisted principal (CAP) regression of Zhao and others (2021), which aims to identify components in the covariance of response signal that are associated with covariates in a…

Methodology · Statistics 2024-08-30 Hyung G. Park

We investigate the phase diagram and memory retrieval capabilities of bipartite energy-based neural networks, namely Restricted Boltzmann Machines (RBMs), as a function of the prior distribution imposed on their hidden units - including…

Disordered Systems and Neural Networks · Physics 2025-12-03 Tony Bonnaire , Giovanni Catania , Aurélien Decelle , Beatriz Seoane

Hopfield networks are a variant of associative memory that recall information stored in the couplings of an Ising model. Stored memories are fixed points for the network dynamics that correspond to energetic minima of the spin state. We…

Quantum Physics · Physics 2014-12-15 Hadayat Seddiqi , Travis S. Humble

Humans learn and form memories in stochastic environments. Auto-associative memory systems model these processes by storing patterns and later recovering them from corrupted versions. Here, memories are learned by associating each pattern…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Qin He , Jing Shuang Li

Autoassociative networks were proposed in the 80's as simplified models of memory function in the brain, using recurrent connectivity with hebbian plasticity to store patterns of neural activity that can be later recalled. This type of…

Disordered Systems and Neural Networks · Physics 2011-11-10 Emilio Kropff , Alessandro Treves

Network systems can exhibit memory effects in which the interactions between different pairs of nodes adapt in time, leading to the emergence of preferred connections, patterns, and sub-networks. To a first approximation, this memory can be…

Disordered Systems and Neural Networks · Physics 2024-11-12 Gianmarco Zanardi , Paolo Bettotti , Jules Morand , Lorenzo Pavesi , Luca Tubiana

Despite explosive expansion of artificial intelligence based on artificial neural networks (ANNs), these are employed as "black boxes'', as it is unclear how, during learning, they form memories or develop unwanted features, including…

Dynamical Systems · Mathematics 2026-02-17 Adam E. Essex , Natalia B. Janson , Rachel A. Norris , Alexander G. Balanov

We introduce Thurstonian Boltzmann Machines (TBM), a unified architecture that can naturally incorporate a wide range of data inputs at the same time. Our motivation rests in the Thurstonian view that many discrete data types can be…

Machine Learning · Statistics 2014-08-04 Truyen Tran , Dinh Phung , Svetha Venkatesh

Transparent models, which provide inherently interpretable predictions, are receiving significant attention in high-stakes domains. However, despite much real-world data being collected as time series, there is a lack of studies on…

Machine Learning · Computer Science 2025-12-17 Minkyu Kim , Suan Lee , Jinho Kim