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A set of fixed points of the Hopfield type neural network was under investigation. Its connection matrix is constructed with regard to the Hebb rule from a highly symmetric set of the memorized patterns. Depending on the external parameter…

Biological Physics · Physics 2007-05-23 Hong-Liang Lu , Xi-Jun Qiu

Designing an incentive compatible auction that maximizes expected revenue is a central problem in Auction Design. Theoretical approaches to the problem have hit some limits in the past decades and analytical solutions are known for only a…

Computer Science and Game Theory · Computer Science 2021-10-26 Jad Rahme , Samy Jelassi , Joan Bruna , S. Matthew Weinberg

This paper proposes a methodology to estimate stress in the subsurface by a hybrid method combining finite element modeling and neural networks. This methodology exploits the idea of obtaining a multi-frequency solution in the numerical…

Machine Learning · Computer Science 2020-08-27 Xavier Garcia , Adrian Rodriguez-Herrera

Spiking neural networks play an important role in brain-like neuromorphic computations and in studying working mechanisms of neural circuits. One drawback of training a large scale spiking neural network is that updating all weights is…

Neurons and Cognition · Quantitative Biology 2024-08-15 Zhanghan Lin , Haiping Huang

In this study, we investigate how the updating of weights during forward operation and the computation of gradients during backpropagation impact the optimization process, training procedure, and overall performance of the neural network,…

Machine Learning · Computer Science 2024-07-10 Amir Noorizadegan , D. L. Young , Y. C. Hon , C. S. Chen

Recurrent neural networks can be large and compute-intensive, yet many applications that benefit from RNNs run on small devices with very limited compute and storage capabilities while still having run-time constraints. As a result, there…

Machine Learning · Computer Science 2020-08-14 Urmish Thakker , Jesse Beu , Dibakar Gope , Ganesh Dasika , Matthew Mattina

This paper introduces the hypervolume maximization with a single solution as an alternative to the mean loss minimization. The relationship between the two problems is proved through bounds on the cost function when an optimal solution to…

Machine Learning · Computer Science 2016-02-04 Conrado S. Miranda , Fernando J. Von Zuben

System performance for networks composed of interconnected subsystems can be increased if the traditionally separated subsystems are jointly optimized. Recently, parallel and distributed optimization methods have emerged as a powerful tool…

Optimization and Control · Mathematics 2013-02-14 Ion Necoara , Valentin Nedelcu , Ioan Dumitrache

Haplotype Inference is a challenging problem in bioinformatics that consists in inferring the basic genetic constitution of diploid organisms on the basis of their genotype. This information allows researchers to perform association studies…

Artificial Intelligence · Computer Science 2007-08-06 Luca Di Gaspero , Andrea Roli

The performance gap between predicted and actual energy consumption in the building domain remains an unsolved problem in practice. The gap exists differently in both current mainstream methods: the first-principles model and the machine…

Computational Engineering, Finance, and Science · Computer Science 2022-06-02 Xia Chen , Tong Guo , Martin Kriegel , Philipp Geyer

A set of fixed points of the Hopfield type neural network is under investigation. Its connection matrix is constructed with regard to the Hebb rule from a highly symmetric set of the memorized patterns. Depending on the external parameter…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leonid B. Litinsky

Item recommendation tasks are a widely studied topic. Recent developments in deep learning and spectral methods paved a path towards efficient graph embedding techniques. But little research has been done on applying these graph embedding…

Social and Information Networks · Computer Science 2019-08-27 Vishwas Sathish , Tanya Mehrotra , Simran Dhinwa , Bhaskarjyoti Das

The Self-Optimization (SO) model can be considered as the third operational mode of the classical Hopfield Network, leveraging the power of associative memory to enhance optimization performance. Moreover, it has been argued to express…

Neural and Evolutionary Computing · Computer Science 2025-11-06 Natalya Weber , Christian Guckelsberger , Tom Froese

Associative memory models, such as Hopfield networks and their modern variants, have garnered renewed interest due to advancements in memory capacity and connections with self-attention in transformers. In this work, we introduce a unified…

Machine Learning · Computer Science 2025-10-28 Saul Santos , Vlad Niculae , Daniel McNamee , André F. T. Martins

This paper presents a novel approach to neural network pruning by integrating a graph-based observation space into an AutoML framework to address the limitations of existing methods. Traditional pruning approaches often depend on…

Machine Learning · Computer Science 2025-09-16 Dieter Balemans , Thomas Huybrechts , Jan Steckel , Siegfried Mercelis

This paper studies a constrained optimization problem over networked systems with an undirected and connected communication topology. The algorithm proposed in this work utilizes singular perturbation, dynamic average consensus, and saddle…

Optimization and Control · Mathematics 2017-10-24 Phuong Huu Hoang , Hyo-Sung Ahn

Deep learning has recently emerged as a disruptive technology to solve challenging radio resource management problems in wireless networks. However, the neural network architectures adopted by existing works suffer from poor scalability,…

Information Theory · Computer Science 2020-10-30 Yifei Shen , Yuanming Shi , Jun Zhang , Khaled B. Letaief

Finding a low dimensional representation of hierarchical, structured data described by a network remains a challenging problem in the machine learning community. An emerging approach is embedding these networks into hyperbolic space because…

Social and Information Networks · Computer Science 2019-05-03 David McDonald , Shan He

Associative memory, traditionally modeled by Hopfield networks, enables the retrieval of previously stored patterns from partial or noisy cues. Yet, the local computational principles which are required to enable this function remain…

Modern Hopfield Networks (MHNs) have emerged as powerful components in deep learning, serving as effective replacements for pooling layers, LSTMs, and attention mechanisms. While recent advancements have significantly improved their storage…

Computational Complexity · Computer Science 2026-01-26 Yang Cao , Xiaoyu Li , Yuanpeng Li , Yingyu Liang , Zhenmei Shi , Zhao Song
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