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The Chemical Master Equation (CME) is well known to provide the highest resolution models of a biochemical reaction network. Unfortunately, even simulating the CME can be a challenging task. For this reason more simple approximations to the…

最优化与控制 · 数学 2015-10-21 Aivar Sootla , James Anderson

Recently, deep learning-based compressed sensing (CS) has achieved great success in reducing the sampling and computational cost of sensing systems and improving the reconstruction quality. These approaches, however, largely overlook the…

计算机视觉与模式识别 · 计算机科学 2023-04-25 Yu Zhou , Yu Chen , Xiao Zhang , Pan Lai , Lei Huang , Jianmin Jiang

Stochastic evolution of Chemical Reactions Networks (CRNs) over time is usually analysed through solving the Chemical Master Equation (CME) or performing extensive simulations. Analysing stochasticity is often needed, particularly when some…

计算机科学中的逻辑 · 计算机科学 2015-09-11 Luca Laurenti , Luca Cardelli , Marta Kwiatkowska

Sparse autoencoders are usually trained one layer at a time, even though transformer residual stream activations are strongly coupled across depth. This creates a practical problem for multi-layer interventions: different layerwise…

机器学习 · 计算机科学 2026-05-28 Prathyush Poduval , Calvin Yeung , Neel Desai , Mohsen Imani

The problem of reconstructing nonlinear and complex dynamical systems from measured data or time series is central to many scientific disciplines including physical, biological, computer, and social sciences, as well as engineering and…

数据分析、统计与概率 · 物理学 2017-05-01 Wenxu Wang , Ying-Cheng Lai , Celso Grebogi

We discuss a method of approximate model reduction for networks of biochemical reactions. This method can be applied to networks with polynomial or rational reaction rates and whose parameters are given by their orders of magnitude. In…

分子网络 · 定量生物学 2015-05-27 Ovidiu Radulescu , Sergei Vakulenko , Dima Grigoriev

A major problem for the learning of Bayesian networks (BNs) is the exponential number of parameters needed for conditional probability tables. Recent research reduces this complexity by modeling local structure in the probability tables. We…

人工智能 · 计算机科学 2013-01-30 Julian R. Neil , Chris S. Wallace , Kevin B. Korb

Embedding computation in biochemical environments incompatible with traditional electronics is expected to have wide-ranging impact in synthetic biology, medicine, nanofabrication and other fields. Natural biochemical systems are typically…

机器学习 · 计算机科学 2022-06-15 Marko Vasic , Cameron Chalk , Austin Luchsinger , Sarfraz Khurshid , David Soloveichik

Compressive sensing (CS) is an effective approach for fast Magnetic Resonance Imaging (MRI). It aims at reconstructing MR images from a small number of under-sampled data in k-space, and accelerating the data acquisition in MRI. To improve…

计算机视觉与模式识别 · 计算机科学 2017-05-22 Yan Yang , Jian Sun , Huibin Li , Zongben Xu

Deep learning models are state-of-the-art in compressive spectral imaging (CSI) recovery. These methods use a deep neural network (DNN) as an image generator to learn non-linear mapping from compressed measurements to the spectral image.…

图像与视频处理 · 电气工程与系统科学 2022-09-12 Brayan Monroy , Jorge Bacca , Henry Arguello

Compressive sensing(CS) has drawn much attention in recent years due to its low sampling rate as well as high recovery accuracy. As an important procedure, reconstructing a sparse signal from few measurement data has been intensively…

信息论 · 计算机科学 2018-06-25 Yicong He , Fei Wang , Shiyuan Wang , Badong Chen

Network reconstruction is important to the understanding and control of collective dynamics in complex systems. Most real networks exhibit sparsely connected properties, and the connection parameter is a signal (0 or 1). Well-known…

物理与社会 · 物理学 2025-09-03 Lei Shi , Jie Hu , Libin Jin , Chen Shen , Huaiyu Tan , Dalei Yu

Thermodynamic constraints on reactions directions are inherent in the structure of a given biochemical network. However, concrete procedures for determining feasible reaction directions for large-scale metabolic networks are not well…

分子网络 · 定量生物学 2007-05-23 Feng Yang , Feng Qi , Daniel A. Beard

The construction of a reaction network containing all relevant intermediates and elementary reactions is necessary for the accurate description of chemical processes. In the case of a complex chemical reaction (involving, for instance, many…

化学物理 · 物理学 2017-12-19 Gregor N. Simm , Markus Reiher

Inferring chemical reaction networks (CRN) from concentration time series is a challenge encouragedby the growing availability of quantitative temporal data at the cellular level. This motivates thedesign of algorithms to infer the…

定量方法 · 定量生物学 2023-02-09 Julien Martinelli , Jeremy Grignard , Sylvain Soliman , Annabelle Ballesta , François Fages

Chemical reactions occur in energy, environmental, biological, and many other natural systems, and the inference of the reaction networks is essential to understand and design the chemical processes in engineering and life sciences. Yet,…

分子网络 · 定量生物学 2021-01-22 Weiqi Ji , Sili Deng

A detailed understanding of biochemical networks at the molecular level is essential for studying complex cellular processes. In this paper, we provide a comprehensive description of biochemical networks by considering individual atoms and…

分子网络 · 定量生物学 2025-04-08 Hadjar Rahou , Hulda S. Haraldsdottir , Filippo Martinelli , Ines Thiele , Ronan M. T. Fleming

We present a method for the reconstruction of networks, based on the order of nodes visited by a stochastic branching process. Our algorithm reconstructs a network of minimal size that ensures consistency with the data. Crucially, we show…

数据结构与算法 · 计算机科学 2010-06-07 Nick Fyson , Tijl De Bie , Nello Cristianini

Ordinary differential equation (ODE) is widely used in modeling biological and physical processes in science. In this article, we propose a new reproducing kernel-based approach for estimation and inference of ODE given noisy observations.…

统计方法学 · 统计学 2021-10-26 Xiaowu Dai , Lexin Li

A fundamental problem associated with the task of network reconstruction from dynamical or behavioral data consists in determining the most appropriate model complexity in a manner that prevents overfitting, and produces an inferred network…

机器学习 · 统计学 2025-03-24 Tiago P. Peixoto