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The development of machine learning sheds new light on the traditionally complicated problem of thermodynamics in multicomponent alloys. Successful application of such a method, however, strongly depends on the quality of the data and…

材料科学 · 物理学 2019-06-10 Xianglin Liu , Jiaxin Zhang , Markus Eisenbach , Yang Wang

Contemporary accounts of ongoing thought recognise it as a heterogeneous and multidimensional construct, varying in both form and content. An emerging body of evidence demonstrates that distinct types of experience are associated with…

Transfer Entropy (TE), the primary method for determining directed information flow within a network system, can exhibit bias - either in deficiency or excess - during both pairwise and conditioned calculations, owing to high-order…

数据分析、统计与概率 · 物理学 2024-02-14 Sebastiano Stramaglia , Luca Faes , Jesus M. Cortes , Daniele Marinazzo

Functional magnetic resonance imaging (fMRI) has been commonly used to construct functional connectivity networks (FCNs) of the human brain. TFCNs are primarily limited to quantifying pairwise relationships between ROIs ignoring higher…

信号处理 · 电气工程与系统科学 2025-07-15 Duc Vu , Selin Aviyente

Higher order interactions are increasingly recognised as a fundamental aspect of complex systems ranging from the brain to social contact networks. Hypergraph as well as simplicial complexes capture the higher-order interactions of complex…

物理与社会 · 物理学 2021-09-23 Hanlin Sun , Ginestra Bianconi

Comparison-based algorithms are algorithms for which the execution of each operation is solely based on the outcome of a series of comparisons between elements. Comparison-based computations can be naturally represented via the following…

数据结构与算法 · 计算机科学 2020-11-17 Michel Schellekens

While the linear Pearson correlation coefficient represents a well-established normalized measure to quantify the interrelation of two stochastic variables $X$ and $Y$, it fails for multidimensional variables such as Cartesian coordinates.…

数据分析、统计与概率 · 物理学 2024-09-19 Daniel Nagel , Georg Diez , Gerhard Stock

Human populations exhibit complex behaviors---characterized by long-range correlations and surges in activity---across a range of social, political, and technological contexts. Yet it remains unclear where these collective behaviors come…

物理与社会 · 物理学 2020-05-07 Christopher W. Lynn , Lia Papadopoulos , Daniel D. Lee , Danielle S. Bassett

Cooperative behaviors are deeply embedded in structured biological and social systems. Networks are often employed to portray pairwise interactions among individuals, where network nodes represent individuals and links indicate who…

物理与社会 · 物理学 2025-01-14 Jiachao Guo , Yao Meng , Aming Li

In this study, under general frame of MAny Connected Intelligent Particles Systems (MACIPS), we reproduce two new simple subsets of such intelligent complex network, namely hybrid intelligent systems, involved a few prominent intelligent…

人工智能 · 计算机科学 2010-01-10 Hamed Owladeghaffari

We investigate correlations in information carriers, e.g. texts and pieces of music, which are represented by strings of letters. For information carrying strings generated by one source (i.e. a novel or a piece of music) we find…

统计力学 · 物理学 2007-05-23 Werner Ebeling , Thorsten Poeschel , Karl-Friedrich Albrecht

By leveraging tools from the statistical mechanics of complex systems, in these short notes we extend the architecture of a neural network for hetero-associative memory (called three-directional associative memories, TAM) to explore…

无序系统与神经网络 · 物理学 2025-03-07 Andrea Alessandrelli , Adriano Barra , Andrea Ladiana , Andrea Lepre , Federico Ricci-Tersenghi

We studied the mutual information between a stimulus and a large system consisting of stochastic, statistically independent elements that respond to a stimulus. The Mutual Information (MI) of the system saturates exponentially with system…

统计力学 · 物理学 2009-11-07 Kukjin Kang , Haim Sompolinsky

Understanding the interaction patterns among simultaneous recordings of spike trains from multiple neuronal units is a key topic in neuroscience. However, an optimal approach of assessing these interactions has not been established, as…

神经元与认知 · 定量生物学 2020-12-17 Gorana Mijatovic , Yuri Antonacci , Tatjana Loncar-Turukalo , Ludovico Minati , Luca Faes

Many systems exhibit complex interactions between their components: some features or actions amplify each other's effects, others provide redundant information, and some contribute independently. We present a simple geometric method for…

机器学习 · 计算机科学 2025-12-15 Ahmad Shamail , Claire McWhite

Recent research on temporal networks has highlighted the limitations of a static network perspective for our understanding of complex systems with dynamic topologies. In particular, recent works have shown that i) the specific order in…

物理与社会 · 物理学 2017-11-20 Ingo Scholtes , Nicolas Wider , Antonios Garas

In neuroscience, methods from information geometry (IG) have been successfully applied in the modelling of binary vectors from spike train data, using the orthogonal decomposition of the Kullback-Leibler divergence and mutual information to…

神经元与认知 · 定量生物学 2025-10-17 Eric Albers , Paul Marriott , Masami Tatsuno

Networks involved in information processing often have their nodes arranged hierarchically, with the majority of connections occurring in adjacent levels. However, despite being an intuitively appealing concept, the hierarchical…

神经元与认知 · 定量生物学 2024-07-02 Anand Pathak , Shakti N. Menon , Sitabhra Sinha

Human social interactions are typically recorded as time-specific dyadic interactions, and represented as evolving (temporal) networks, where links are activated/deactivated over time. However, individuals can interact in groups of more…

物理与社会 · 物理学 2022-11-03 Alberto Ceria , Huijuan Wang

The relation between large-scale brain structure and function is an outstanding open problem in neuroscience. We approach this problem by studying the dynamical regime under which realistic spatio-temporal patterns of brain activity emerge…

神经元与认知 · 定量生物学 2014-05-27 Ariel Haimovici , Enzo Tagliazucchi , Pablo Balenzuela , Dante R. Chialvo