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Unlike vision and language data which usually has a unique format, molecules can naturally be characterized using different chemical formulations. One can view a molecule as a 2D graph or define it as a collection of atoms located in a 3D…

Machine Learning · Computer Science 2023-03-29 Shengjie Luo , Tianlang Chen , Yixian Xu , Shuxin Zheng , Tie-Yan Liu , Liwei Wang , Di He

Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve…

Physics and Society · Physics 2019-03-13 Edward Laurence , Nicolas Doyon , Louis J Dubé , Patrick Desrosiers

Mathematical expressions were generated, evaluated and used to train neural network models based on the transformer architecture. The expressions and their targets were analyzed as a character-level sequence transduction task in which the…

Computation and Language · Computer Science 2019-09-17 Artit Wangperawong

Parameter sharing has proven to be a parameter-efficient approach. Previous work on Transformers has focused on sharing parameters in different layers, which can improve the performance of models with limited parameters by increasing model…

Machine Learning · Computer Science 2023-06-19 Ye Lin , Mingxuan Wang , Zhexi Zhang , Xiaohui Wang , Tong Xiao , Jingbo Zhu

In a recent paper [4], Mari\'c et al. analyzed the performance of the analog network coding (ANC) in a layered relay network for the high-SNR regime. They have proved that under the ANC scheme, if each relay transmits the received signals…

Information Theory · Computer Science 2011-06-21 Binyue Liu , Ning Cai

Neural networks efficiently encode learned information within their parameters. Consequently, many tasks can be unified by treating neural networks themselves as input data. When doing so, recent studies demonstrated the importance of…

Machine Learning · Computer Science 2024-01-02 Derek Lim , Haggai Maron , Marc T. Law , Jonathan Lorraine , James Lucas

We numerically investigate jamming transitions in complex heterogeneous networks. Inspired by Internet routing protocols, we study a general model that incorporates local traffic information through a tunable parameter. The results show…

Statistical Mechanics · Physics 2007-05-23 Pablo Echenique , Jesus Gomez-Gardenes , Yamir Moreno

Hypernetworks are neural networks that generate weights for another neural network. We formulate the hypernetwork training objective as a compromise between accuracy and diversity, where the diversity takes into account trivial symmetry…

Machine Learning · Statistics 2018-04-10 Lior Deutsch

The fundamental concept of applying the system methodology to network analysis declares that network architecture should take into account services and applications which this network provides and supports. This work introduces a formal…

Networking and Internet Architecture · Computer Science 2015-09-03 Andrey A. Shchurov

A theory is developed which uses "networks" (directed acyclic graphs with some extra structure) as a formalism for expressions in multilinear algebra. It is shown that this formalism is valid for arbitrary PROPs (short for 'PROducts and…

Rings and Algebras · Mathematics 2012-04-12 Lars Hellström

This article studies (multilayer perceptron) neural networks with an emphasis on the transformations involved --- both forward and backward --- in order to develop a semantical/logical perspective that is in line with standard program…

Neural and Evolutionary Computing · Computer Science 2018-03-28 Bart Jacobs , David Sprunger

Future wireless networks are envisioned to integrate multi-hop, multi-operator, multi-technology (m3) components in order to meet the increasing traffic demand at an acceptable price for subscribers. The performance of such a network…

Networking and Internet Architecture · Computer Science 2016-12-19 Beatriz Lorenzo , Savo Glisic

Neural networks that process the parameters of other neural networks find applications in domains as diverse as classifying implicit neural representations, generating neural network weights, and predicting generalization errors. However,…

This work presents a new method for online selection of multiple penalty parameters for the alternating direction method of multipliers (ADMM) algorithm applied to optimization problems with multiple constraints or functionals with block…

Image and Video Processing · Electrical Eng. & Systems 2026-04-21 Luke Lozenski , Michael T. McCann , Brendt Wohlberg

The conventional design of wireless communication systems typically relies on established mathematical models that capture the characteristics of different communication modules. Unfortunately, such design cannot be easily and directly…

Signal Processing · Electrical Eng. & Systems 2021-10-04 Yifan Ma , Yifei Shen , Xianghao Yu , Jun Zhang , S. H. Song , Khaled B. Letaief

Networks are models representing relationships between entities. Often these relationships are explicitly given, or we must learn a representation which generalizes and predicts observed behavior in underlying individual data (e.g.…

Social and Information Networks · Computer Science 2017-09-19 Ivan Brugere , Chris Kanich , Tanya Y. Berger-Wolf

Random network models, constrained to reproduce specific statistical features, are often used to represent and analyze network data and their mathematical descriptions. Chief among them, the configuration model constrains random networks by…

Social and Information Networks · Computer Science 2025-01-28 Laurent Hébert-Dufresne , Jean-Gabriel Young , Alexander Daniels , Alec Kirkley , Antoine Allard

Wavelet Transforms are a widely used technique for decomposing a signal into coefficient vectors that correspond to distinct frequency/scale bands while retaining time localization. This property enables an adaptive analysis of signals at…

Applications · Statistics 2025-11-05 Jack Kissell , Vijini Lakmini , Brani Vidakovic

This paper describes a new model for an artificial neural network processing unit or neuron. It is slightly different to a traditional feedforward network by the fact that it favours a mechanism of trying to match the wave-like 'shape' of…

Neural and Evolutionary Computing · Computer Science 2014-03-06 Kieran Greer

Recent work has shown the promise of creating generalist, transformer-based, models for language, vision, and sequential decision-making problems. To create such models, we generally require centralized training objectives, data, and…

Machine Learning · Computer Science 2023-09-26 Daniel Lawson , Ahmed H. Qureshi