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People use rich prior knowledge about the world in order to efficiently learn new concepts. These priors - also known as "inductive biases" - pertain to the space of internal models considered by a learner, and they help the learner make…

计算与语言 · 计算机科学 2018-06-20 Reuben Feinman , Brenden M. Lake

To render a sequence testable, namely capable of identifying and detecting errors, it is necessary to apply a transformation that increases its length by introducing statistical dependence among symbols, as commonly exemplified by the…

信息论 · 计算机科学 2025-07-08 Aida Koch , Alix Petit

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

无序系统与神经网络 · 物理学 2024-05-08 Kenichi Nakazato

The evolutionary dynamics of molecular populations are strongly dependent on the structure of genotype spaces. The map between genotype and phenotype determines how easily genotype spaces can be navigated and the accessibility of…

种群与进化 · 定量生物学 2019-07-03 Juan Antonio García-Martín , Pablo Catalán , Susanna Manrubia , José A. Cuesta

The interaction between natural selection and random mutation is frequently debated in recent years. Does similar dilemma also exist in the evolution of real networks such as biological networks? In this paper, we try to discuss this issue…

统计力学 · 物理学 2009-01-07 Zhen Shao , Hai-jun Zhou

The theory of interaction-based evolution argues that, at the most basic level of analysis, there is a third alternative for how adaptive evolution works besides a) accidental mutation and natural selection and b) Lamarckism, namely, c)…

种群与进化 · 定量生物学 2016-05-25 Adi Livnat

We define a dynamic model of random networks, where new vertices are connected to old ones with a probability proportional to a sublinear function of their degree. We first give a strong limit law for the empirical degree distribution, and…

概率论 · 数学 2008-07-31 Steffen Dereich , Peter Morters

We address a primary question of computational as well as biological research on evolution: How can an exploration strategy adapt in such a way as to exploit the information gained about the problem at hand? We first introduce an integrated…

生物物理 · 物理学 2007-05-23 Marc Toussaint

The inheritance of characteristics induced by the environment has often been opposed to the theory of evolution by natural selection. Yet, while evolution by natural selection requires new heritable traits to be produced and transmitted, it…

种群与进化 · 定量生物学 2015-06-18 Olivier Rivoire , Stanislas Leibler

The relationship between genotype and phenotype plays a crucial role in determining the function and robustness of biological systems. Here the evolution progresses through the change in genotype, whereas the selection is based on the…

种群与进化 · 定量生物学 2025-02-18 Tuan Minh Pham , Kunihiko Kaneko

Graph neural networks (GNNs) excel in modeling relational data such as biological, social, and transportation networks, but the underpinnings of their success are not well understood. Traditional complexity measures from statistical…

机器学习 · 计算机科学 2024-01-24 Cheng Shi , Liming Pan , Hong Hu , Ivan Dokmanić

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

神经元与认知 · 定量生物学 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

The characterization of plasticity, robustness, and evolvability, an important issue in biology, is studied in terms of phenotypic fluctuations. By numerically evolving gene regulatory networks, the proportionality between the phenotypic…

种群与进化 · 定量生物学 2015-06-15 Kunihiko Kaneko

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

统计力学 · 物理学 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

We present a model for the evolution of networks of occupied sites on undirected regular graphs. At every iteration step in a parallel update I randomly chosen empty sites are occupied and occupied sites having degree outside of a given…

统计力学 · 物理学 2009-11-07 M. Brede , U. Behn

Non-genetic perturbations, such as environmental change or developmental noise, can induce novel phenotypes. If an induced phenotype confers a fitness advantage, selection may promote its genetic stabilization. Non-genetic perturbations can…

种群与进化 · 定量生物学 2015-03-17 Carlos Espinosa-Soto , Olivier C. Martin , Andreas Wagner

Despite nearly two scores of research on RNA secondary structure and RNA-RNA interaction prediction, the accuracy of the state-of-the-art algorithms are still far from satisfactory. Researchers have proposed increasingly complex energy…

生物大分子 · 定量生物学 2013-01-09 Elmirasadat Forouzmand , Hamidreza Chitsaz

The cooperative behaviour of interacting neurons and synapses is studied using models and methods from statistical physics. The competition between training error and entropy may lead to discontinuous properties of the neural network. This…

无序系统与神经网络 · 物理学 2017-02-08 Wolfgang Kinzel

As NNs permeate various scientific and industrial domains, understanding the universality and reusability of their representations becomes crucial. At their core, these networks create intermediate neural representations, indicated as…

机器学习 · 计算机科学 2024-06-18 Luca Moschella

Biological networks have two modes. The first mode is static: a network is a passage on which something flows. The second mode is dynamic: a network is a pattern constructed by gluing functions of entities constituting the network. In this…

范畴论 · 数学 2012-11-22 Taichi Haruna