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This paper presents a comprehensive analysis of critical point sets in two-layer neural networks. To study such complex entities, we introduce the critical embedding operator and critical reduction operator as our tools. Given a critical…

机器学习 · 计算机科学 2024-05-29 Leyang Zhang , Yaoyu Zhang , Tao Luo

This paper reports on patterns exhibiting self-replication with spontaneous, inheritable mutations and exponential genetic drift in Neural Cellular Automata. Despite the models not being explicitly trained for mutation or inheritability,…

神经与进化计算 · 计算机科学 2023-05-23 Lana Sinapayen

This article determines and characterizes the minimal number of actuators needed to ensure structural controllability of a linear system under structural alterations that can severe the connection between any two states. We assume that…

系统与控制 · 计算机科学 2017-03-23 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

Intracellular networks process cellular-level information and control cell fate. They can be computationally modeled using Boolean networks, which are implicit-time causal models of discrete binary events. These networks can be embedded in…

分子网络 · 定量生物学 2025-01-28 John Metzcar , Katie Pletz , Heber L. Rocha , Jordan C Rozum

Biological circuits such as neural or gene regulation networks use internal states to map sensory input to an adaptive repertoire of behavior. Characterizing this mapping is a major challenge for systems biology, and though experiments that…

神经元与认知 · 定量生物学 2022-10-12 Edward D. Lee , Xiaowen Chen , Bryan C. Daniels

Recent years have seen the emergence of many new neural network structures (architectures and layers). To solve a given task, a network requires a certain set of abilities reflected in its structure. The required abilities depend on each…

计算机视觉与模式识别 · 计算机科学 2022-04-26 Adrien Courtois , Jean-Michel Morel , Pablo Arias

In the event of an observation of neutrinoless double beta decay, a relevant question would be: what lepton number violating physics is responsible for the decay? The exchange of Majorana neutrinos and/or supersymmetric particles may…

高能物理 - 唯象学 · 物理学 2010-07-20 B. C. Allanach , C. H. Kom , H. Päs

In this paper, a method is presented to synthesize neural network controllers such that the feedback system of plant and controller is dissipative, certifying performance requirements such as L2 gain bounds. The class of plants considered…

系统与控制 · 电气工程与系统科学 2024-04-12 Neelay Junnarkar , Murat Arcak , Peter Seiler

While deep neural networks have surpassed human performance in multiple situations, they are prone to catastrophic forgetting: upon training a new task, they rapidly forget previously learned ones. Neuroscience studies, based on idealized…

神经与进化计算 · 计算机科学 2021-03-24 Axel Laborieux , Maxence Ernoult , Tifenn Hirtzlin , Damien Querlioz

The nematode Caenorhabditis elegans (C. elegans) is used as a model organism to better understand developmental biology and neurobiology. C. elegans features an invariant cell lineage, which has been catalogued and observed using…

计算机视觉与模式识别 · 计算机科学 2022-08-03 Andrew Lauziere , Ryan Christensen , Hari Shroff

Local perturbations of individual metabolic reactions may result in different levels of lethality, depending on their roles in metabolism and the size of subsequent cascades induced by their failure. Moreover, essentiality of individual…

分子网络 · 定量生物学 2019-03-27 P. Kim , K. Han , D. -S. Lee , B. Kahng

The Synthetic Control method (SC) has become a valuable tool for estimating causal effects. Originally designed for single-treated unit scenarios, it has recently found applications in high-dimensional disaggregated settings with multiple…

统计方法学 · 统计学 2025-10-28 Ye Shen , Rui Song , Alberto Abadie

We study the dynamic range of a cellular automaton model for a neuronal network with electrical and chemical synapses. The neural network is separated into two layers, where one layer corresponds to inhibitory, and the other corresponds to…

适应与自组织系统 · 物理学 2015-06-23 F. S. Borges , E. L. Lameu , A. M. Batista , K. C. Iarosz , M. S. Baptista , R. L. Viana

Evolving biomolecular networks have to combine the stability against perturbations with flexibility allowing their constituents to assume new roles in the cell. Gene duplication followed by functional divergence of associated proteins is a…

分子网络 · 定量生物学 2007-05-23 Sergei Maslov , Kim Sneppen , Kasper Astrup Eriksen

Cellular automata are often used to model systems in physics, social sciences, biology that are inherently asynchronous. Over the past 20 years, studies have demonstrated that the behavior of cellular automata drastically changed under…

离散数学 · 计算机科学 2007-06-19 Damien Regnault , Nicolas Schabanel , Éric Thierry

Leptogenesis in left-right symmetric theories is studied. The usual see-saw mechanism is modified by the presence of a left-handed Higgs triplet. A simple connection between the properties of the light left-handed and heavy right-handed…

高能物理 - 唯象学 · 物理学 2007-05-23 W. Rodejohann

Neuronal spikes directly drive muscles and endow animals with agile movements, but applying the spike-based control signals to actuators in artificial sensor-motor systems inevitably causes a collapse of learning. We developed a system that…

神经元与认知 · 定量生物学 2026-03-03 Takeshi Kobayashi , Shogo Yonekura , Yasuo Kuniyoshi

Ablation studies have been widely used in the field of neuroscience to tackle complex biological systems such as the extensively studied Drosophila central nervous system, the vertebrate brain and more interestingly and most delicately, the…

神经与进化计算 · 计算机科学 2019-02-19 Richard Meyes , Melanie Lu , Constantin Waubert de Puiseau , Tobias Meisen

Neural Cellular Automata (NCAs) are a promising new approach to model self-organizing processes, with potential applications in life science. However, their deterministic nature limits their ability to capture the stochasticity of…

人工智能 · 计算机科学 2025-06-26 Salvatore Milite , Giulio Caravagna , Andrea Sottoriva

Spontaneous symmetry breaking (SSB) occurs when modes of asymmetric profile appear in a symmetric, double-well potential, due to the nonlinearity of the potential exceeding a critical value. In this study, we examine SSB in a periodic…

光学 · 物理学 2024-10-21 Ruihan Peng , Qidong Fu , Yejia Chen , Weidong Luo , Changming Huang , Fangwei Ye