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Recurrent neural networks (RNN) are powerful tools to explain how attractors may emerge from noisy, high-dimensional dynamics. We study here how to learn the ~N^(2) pairwise interactions in a RNN with N neurons to embed L manifolds of…

Disordered Systems and Neural Networks · Physics 2020-02-05 Aldo Battista , Rémi Monasson

It has been shown that semi-parametric methods, which combine standard neural networks with non-parametric components such as external memory modules and data retrieval, are particularly helpful in data scarcity and out-of-distribution…

Machine Learning · Computer Science 2023-10-18 Zihan Qiu , Zhen Liu , Shuicheng Yan , Shanghang Zhang , Jie Fu

It has been observed \citep{zhang2016understanding} that deep neural networks can memorize: they achieve 100\% accuracy on training data. Recent theoretical results explained such behavior in highly overparametrized regimes, where the…

Machine Learning · Computer Science 2019-09-27 Rong Ge , Runzhe Wang , Haoyu Zhao

Artificial neural networks thrive in solving the classification problem for a particular rigid task, acquiring knowledge through generalized learning behaviour from a distinct training phase. The resulting network resembles a static entity…

Computer Vision and Pattern Recognition · Computer Science 2021-04-19 Matthias De Lange , Rahaf Aljundi , Marc Masana , Sarah Parisot , Xu Jia , Ales Leonardis , Gregory Slabaugh , Tinne Tuytelaars

The problem of neural network association is to retrieve a previously memorized pattern from its noisy version using a network of neurons. An ideal neural network should include three components simultaneously: a learning algorithm, a large…

Neural and Evolutionary Computing · Computer Science 2012-06-22 Amir Hesam Salavati , Amin Karbasi

We consider the class of Hopfield models of associative memory with activation function $F$ and state space $\{-1,1\}^N$, where each vertex of the cube describes a configuration of $N$ binary neurons. $M$ randomly chosen configurations,…

Probability · Mathematics 2025-04-08 Véronique Gayrard

In conventional deep learning, the number of neurons typically remains fixed during training. However, insights from biology suggest that the human hippocampus undergoes continuous neuron generation and pruning of neurons over the course of…

Machine Learning · Computer Science 2025-07-15 Taigo Sakai , Kazuhiro Hotta

Recent advances in neuroscience have revealed many principles about neural processing. In particular, many biological systems were found to reconfigure/recruit single neurons to generate multiple kinds of decisions. Such findings have the…

Machine Learning · Computer Science 2019-05-30 Yassin Khalifa , Justin Hawks , Ervin Sejdic

This paper explores learned-context neural networks. It is a multi-task learning architecture based on a fully shared neural network and an augmented input vector containing trainable task parameters. The architecture is interesting due to…

Machine Learning · Computer Science 2025-08-07 Anders T. Sandnes , Bjarne Grimstad , Odd Kolbjørnsen

We study the problem of large scale, multi-label visual recognition with a large number of possible classes. We propose a method for augmenting a trained neural network classifier with auxiliary capacity in a manner designed to…

Machine Learning · Statistics 2015-04-15 David Warde-Farley , Andrew Rabinovich , Dragomir Anguelov

In [7] Krotov and Hopfield suggest a generalized version of the well-known Hopfield model of associative memory. In their version they consider a polynomial interaction function and claim that this increases the storage capacity of the…

Probability · Mathematics 2017-07-03 Mete Demircigil , Judith Heusel , Matthias Löwe , Sven Upgang , Franck Vermet

We introduce the Dynamic Capacity Network (DCN), a neural network that can adaptively assign its capacity across different portions of the input data. This is achieved by combining modules of two types: low-capacity sub-networks and…

Machine Learning · Computer Science 2016-05-24 Amjad Almahairi , Nicolas Ballas , Tim Cooijmans , Yin Zheng , Hugo Larochelle , Aaron Courville

A efficient incremental learning algorithm for classification tasks, called NetLines, well adapted for both binary and real-valued input patterns is presented. It generates small compact feedforward neural networks with one hidden layer of…

Artificial Intelligence · Computer Science 2009-04-30 Juan-Manuel Torres-Moreno , Mirta B. Gordon

Neural network based methods have obtained great progress on a variety of natural language processing tasks. However, in most previous works, the models are learned based on single-task supervised objectives, which often suffer from…

Computation and Language · Computer Science 2016-05-18 Pengfei Liu , Xipeng Qiu , Xuanjing Huang

Neural networks outperform kernel methods, sometimes by orders of magnitude, e.g. on staircase functions. This advantage stems from the ability of neural networks to learn features, adapting their hidden representations to better capture…

Machine Learning · Computer Science 2025-07-29 Niclas Alexander Göring , Charles London , Abdurrahman Hadi Erturk , Chris Mingard , Yoonsoo Nam , Ard A. Louis

With the capacity of continual learning, humans can continuously acquire knowledge throughout their lifespan. However, computational systems are not, in general, capable of learning tasks sequentially. This long-standing challenge for deep…

Machine Learning · Computer Science 2022-08-05 Qihan Yang , Fan Feng , Rosa Chan

One way of introducing sparsity into deep networks is by attaching an external table of parameters that is sparsely looked up at different layers of the network. By storing the bulk of the parameters in the external table, one can increase…

Machine Learning · Computer Science 2023-02-02 Cenk Baykal , Dylan J Cutler , Nishanth Dikkala , Nikhil Ghosh , Rina Panigrahy , Xin Wang

Differentiable neural computers extend artificial neural networks with an explicit memory without interference, thus enabling the model to perform classic computation tasks such as graph traversal. However, such models are difficult to…

Machine Learning · Computer Science 2022-06-06 Benjamin Paaßen , Alexander Schulz , Terrence C. Stewart , Barbara Hammer

Attractor neural network is an important theoretical scenario for modeling memory function in the hippocampus and in the cortex. In these models, memories are stored in the plastic recurrent connections of neural populations in the form of…

Neurons and Cognition · Quantitative Biology 2016-01-12 Alireza Alemi

We examine the role of memorization in deep learning, drawing connections to capacity, generalization, and adversarial robustness. While deep networks are capable of memorizing noise data, our results suggest that they tend to prioritize…

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