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The rich and varied ways that genetic material can be passed between species has motivated extensive research into the theory of phylogenetic networks. Features that align with biological processes, or with desirable mathematical…

Populations and Evolution · Quantitative Biology 2025-08-12 Andrew Francis

In recent years, we have observed a significant trend towards filling the gap between social network analysis and control. This trend was enabled by the introduction of new mathematical models describing dynamics of social groups, the…

Systems and Control · Computer Science 2017-10-16 Anton V. Proskurnikov , Roberto Tempo

An increasing number of complex systems are now modeled as networks of coupled dynamical entities. Nonlinearity and high-dimensionality are hallmarks of the dynamics of such networks but have generally been regarded as obstacles to control.…

Disordered Systems and Neural Networks · Physics 2015-12-07 Adilson E. Motter

Neural network-based machine learning is capable of approximating functions in very high dimension with unprecedented efficiency and accuracy. This has opened up many exciting new possibilities, not just in traditional areas of artificial…

Numerical Analysis · Mathematics 2020-12-30 Weinan E

Recently, there has been a rising surge of momentum for deep representation learning in hyperbolic spaces due to theirhigh capacity of modeling data like knowledge graphs or synonym hierarchies, possessing hierarchical structure. We refer…

Machine Learning · Computer Science 2021-02-18 Wei Peng , Tuomas Varanka , Abdelrahman Mostafa , Henglin Shi , Guoying Zhao

The literature on machine teaching, machine education, and curriculum design for machines is in its infancy with sparse papers on the topic primarily focusing on data and model engineering factors to improve machine learning. In this paper,…

Artificial Intelligence · Computer Science 2020-02-11 Hussein A. Abbass , Sondoss Elsawah , Eleni Petraki , Robert Hunjet

Despite their widespread utility across domains, basic network models face fundamental limitations when applied to complex biological systems, particularly in neuroscience. This paper critically examines these limitations and explores…

Other Quantitative Biology · Quantitative Biology 2024-11-07 Luiz Pessoa

Ranking models are the main components of information retrieval systems. Several approaches to ranking are based on traditional machine learning algorithms using a set of hand-crafted features. Recently, researchers have leveraged deep…

Information Retrieval · Computer Science 2021-11-03 Mohamed Trabelsi , Zhiyu Chen , Brian D. Davison , Jeff Heflin

Deep learning, a branch of artificial intelligence, is a data-driven method that uses multiple layers of interconnected units or neurons to learn intricate patterns and representations directly from raw input data. Empowered by this…

Machine Learning · Computer Science 2025-07-28 Mohd Halim Mohd Noor , Ayokunle Olalekan Ige

The science of complex networks is a new interdisciplinary branch of science which has arisen recently on the interface of physics, biology, social and computer sciences, and others. Its main goal is to discover general laws governing the…

Statistical Mechanics · Physics 2007-05-23 B. Waclaw

Empirical studies of graphs have contributed enormously to our understanding of complex systems. Known today as network science, what was originally a theoretical study of graphs has grown into a more scientific exploration of communities…

Quantitative Methods · Quantitative Biology 2020-01-01 Ryan E. Langendorf , Debra S. Goldberg

A good theory of mathematical beauty is more practical than any current observation, as new predictions of physical reality can be verified self-consistently. This belief applies to the current status of understanding deep neural networks…

Neurons and Cognition · Quantitative Biology 2024-07-26 Haiping Huang

Draft of textbook chapter on neural machine translation. a comprehensive treatment of the topic, ranging from introduction to neural networks, computation graphs, description of the currently dominant attentional sequence-to-sequence model,…

Computation and Language · Computer Science 2017-09-25 Philipp Koehn

This work theoretically investigates the performance of a composite neural network. A composite neural network is a rooted directed acyclic graph combining a set of pre-trained and non-instantiated neural network models, where a pre-trained…

Machine Learning · Computer Science 2019-12-30 Ming-Chuan Yang , Meng Chang Chen

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

This paper presents an overview of some techniques and concepts coming from dynamical system theory and used for the analysis of dynamical neural networks models. In a first section, we describe the dynamics of the neuron, starting from the…

Adaptation and Self-Organizing Systems · Physics 2011-11-09 B. Cessac , M. Samuelides

Artificial neural networks (ANNs) have emerged as an essential tool in machine learning, achieving remarkable success across diverse domains, including image and speech generation, game playing, and robotics. However, there exist…

Neural and Evolutionary Computing · Computer Science 2023-05-22 Samuel Schmidgall , Jascha Achterberg , Thomas Miconi , Louis Kirsch , Rojin Ziaei , S. Pardis Hajiseyedrazi , Jason Eshraghian

Deep neural networks (DNNs) transform stimuli across multiple processing stages to produce representations that can be used to solve complex tasks, such as object recognition in images. However, a full understanding of how they achieve this…

Neurons and Cognition · Quantitative Biology 2018-11-01 David G. T. Barrett , Ari S. Morcos , Jakob H. Macke

The network architecture of the human brain has become a feature of increasing interest to the neuroscientific community, largely because of its potential to illuminate human cognition, its variation over development and aging, and its…

Neurons and Cognition · Quantitative Biology 2016-11-07 Richard F. Betzel , Danielle S. Bassett

An internal model of the own body can be assumed a fundamental and evolutionary-early representation as it is present throughout the animal kingdom. Such functional models are, on the one hand, required in motor control, for example solving…

Robotics · Computer Science 2019-04-25 Malte Schilling