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Network neuroscience is the emerging discipline concerned with investigating the complex patterns of interconnections found in neural systems, and to identify principles with which to understand them. Within this discipline, one…

神经元与认知 · 定量生物学 2017-08-29 Richard F. Betzel , Danielle S. Bassett

By linking conceptual theories with observed data, generative models can support reasoning in complex situations. They have come to play a central role both within and beyond statistics, providing the basis for power analysis in molecular…

统计方法学 · 统计学 2022-08-15 Kris Sankaran , Susan P. Holmes

This paper introduces a unified theoretical perspective that views deep generative models as probability transformation functions. Despite the apparent differences in architecture and training methodologies among various types of generative…

机器学习 · 计算机科学 2025-06-23 Vitalii Bondar , Vira Babenko , Roman Trembovetskyi , Yurii Korobeinyk , Viktoriya Dzyuba

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

数据分析、统计与概率 · 物理学 2007-06-21 M. E. J. Newman , E. A. Leicht

There are two prominent paradigms to the modeling of networks: in the first, referred to as the mechanistic approach, one specifies a set of domain-specific mechanistic rules that are used to grow or evolve the network over time; in the…

物理与社会 · 物理学 2020-01-24 Ravi Goyal , JP Onnela

Mathematical models play an increasingly important role in the interpretation of biological experiments. Studies often present a model that generates the observations, connecting hypothesized process to an observed pattern. Such generative…

种群与进化 · 定量生物学 2014-06-18 Steven A. Frank

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

With the emerging of new networks, such as wireless sensor networks, vehicle networks, P2P networks, cloud computing, mobile Internet, or social networks, the network dynamics and complexity expands from system design, hardware, software,…

社会与信息网络 · 计算机科学 2013-05-07 Jianguo Ding , Pascal Bouvry

Revealing the functional sites of biological sequences, such as evolutionary conserved, structurally interacting or co-evolving protein sites, is a fundamental, and yet challenging task. Different frameworks and models were developed to…

定量方法 · 定量生物学 2019-06-07 Justas Dauparas , Haobo Wang , Avi Swartz , Peter Koo , Mor Nitzan , Sergey Ovchinnikov

Networks are a powerful abstraction with applicability to a variety of scientific fields. Models explaining their morphology and growth processes permit a wide range of phenomena to be more systematically analysed and understood. At the…

神经与进化计算 · 计算机科学 2020-04-27 Telmo Menezes , Camille Roth

Understanding the dynamics of road networks has theoretical implications for urban science and practical applications for sustainable long-term planning. Various generative models to explain road network growth have been introduced in the…

物理与社会 · 物理学 2021-10-01 Juste Raimbault

Probabilistic graphical models combine the graph theory and probability theory to give a multivariate statistical modeling. They provide a unified description of uncertainty using probability and complexity using the graphical model.…

机器学习 · 统计学 2011-11-30 Yang Zhou

Many real-world problems encountered in several disciplines deal with the modeling of time-series containing different underlying dynamical regimes, for which probabilistic approaches are very often employed. In this paper we describe…

机器学习 · 统计学 2015-03-19 Silvia Chiappa

Deep generative models are a class of techniques that train deep neural networks to model the distribution of training samples. Research has fragmented into various interconnected approaches, each of which make trade-offs including…

机器学习 · 计算机科学 2022-03-29 Sam Bond-Taylor , Adam Leach , Yang Long , Chris G. Willcocks

This article serves as an introduction to the study of networks of social systems. First, we introduce the reader to key mathematical tools to study social networks, including mathematical representations of networks and essential…

物理与社会 · 物理学 2023-02-03 Heather Z. Brooks

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

物理与社会 · 物理学 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

Adaptive networks appear in many biological applications. They combine topological evolution of the network with dynamics in the network nodes. Recently, the dynamics of adaptive networks has been investigated in a number of parallel…

物理与社会 · 物理学 2008-01-23 Thilo Gross , Bernd Blasius

Heralded by the initial success in speech recognition and image classification, learning-based approaches with neural networks, commonly referred to as deep learning, have spread across various fields. A primitive form of a neural network…

机器人学 · 计算机科学 2024-09-02 Takuma Yoneda

Model merging has achieved significant success, with numerous innovative methods proposed to enhance capabilities by combining multiple models. However, challenges persist due to the lack of a unified framework for classification and…

机器学习 · 计算机科学 2025-03-13 Wei Ruan , Tianze Yang , Yifan Zhou , Tianming Liu , Jin Lu

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…

定量方法 · 定量生物学 2020-01-01 Ryan E. Langendorf , Debra S. Goldberg
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