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We present a continuous threshold model (CTM) of cascade dynamics for a network of agents with real-valued activity levels that change continuously in time. The model generalizes the linear threshold model (LTM) from the literature, where…

最优化与控制 · 数学 2020-07-07 Yaofeng Desmond Zhong , Naomi Ehrich Leonard

Neural approaches to sequence labeling often use a Conditional Random Field (CRF) to model their output dependencies, while Recurrent Neural Networks (RNN) are used for the same purpose in other tasks. We set out to establish RNNs as an…

机器学习 · 计算机科学 2018-10-02 Saeed Najafi , Colin Cherry , Grzegorz Kondrak

Stochastic Chemical Reaction Networks are continuous time Markov chain models that describe the time evolution of the molecular counts of species interacting stochastically via discrete reactions. Such models are ubiquitous in systems and…

定量方法 · 定量生物学 2024-02-01 Theodore W. Grunberg , Domitilla Del Vecchio

Growing evidence has indicated that the global composition distribution plays an indisputable role in interpreting observational data. 3D general circulation models (GCMs) with a reliable treatment of chemistry and clouds are particularly…

地球与行星天体物理 · 物理学 2022-08-10 Shang-Min Tsai , Elspeth K. H. Lee , Raymond Pierrehumbert

Accurately modeling chemical reactions at the atomistic level requires high-level electronic structure theory due to the presence of unpaired electrons and the need to properly describe bond breaking and making energetics. Commonly used…

The simulation of molecules is a widely anticipated application of quantum computers. However, recent studies \cite{WBCH13a,HWBT14a} have cast a shadow on this hope by revealing that the complexity in gate count of such simulations…

量子物理 · 物理学 2015-10-05 David Poulin , M. B. Hastings , Dave Wecker , Nathan Wiebe , Andrew C. Doherty , Matthias Troyer

The behavior of some stochastic chemical reaction networks is largely unaffected by slight inaccuracies in reaction rates. We formalize the robustness of state probabilities to reaction rate deviations, and describe a formal connection…

计算复杂性 · 计算机科学 2009-01-28 David Soloveichik

Speech enhancement has benefited from the success of deep learning in terms of intelligibility and perceptual quality. Conventional time-frequency (TF) domain methods focus on predicting TF-masks or speech spectrum, via a naive convolution…

音频与语音处理 · 电气工程与系统科学 2020-09-24 Yanxin Hu , Yun Liu , Shubo Lv , Mengtao Xing , Shimin Zhang , Yihui Fu , Jian Wu , Bihong Zhang , Lei Xie

Biochemical reactions typically occur at low copy numbers, but at once in crowded and diverse environments. Space and stochasticity therefore play an essential role in biochemical networks. Spatial-stochastic simulations have become a…

Finding synthesis routes for molecules of interest is an essential step in the discovery of new drugs and materials. To find such routes, computer-assisted synthesis planning (CASP) methods are employed which rely on a model of chemical…

HCN is a key ingredient for synthesizing biomolecules such as nucleobases and amino acids. We calculate 42 reaction rate coefficients directly involved with or in competition with the production of HCN in the early Earth or Titan…

地球与行星天体物理 · 物理学 2019-03-12 Ben K. D. Pearce , Paul W. Ayers , Ralph E. Pudritz

Threshold networks are used as models for neural or gene regulatory networks. They show a rich dynamical behaviour with a transition between a frozen and a chaotic phase. We investigate the phase diagram of randomly connected threshold…

统计力学 · 物理学 2009-11-13 Agnes Szejka , Tamara Mihaljev , Barbara Drossel

Stochastic chemical reaction networks (SRNs) in cellular systems are commonly modeled as continuous-time Markov chains (CTMCs) describing the dynamics of molecular copy numbers. The exact evaluation of transient copy number statistics is,…

定量方法 · 定量生物学 2026-04-07 Takeyuki Iwasaki , Yutaka Hori

In this paper, a new fractional step method is proposed for simulating stiff and nonstiff chemically reacting flows. In stiff cases, a well-known spurious numerical phenomenon, i.e. the incorrect propagation speed of discontinuities, may be…

计算物理 · 物理学 2019-05-01 Jian-Hang Wang , Shucheng Pan , Xiangyu Y. Hu , Nikolaus A. Adams

Benchmark reactions involving molecular hydrogen, such as H$_2$+D or H$_2$+Cl, provide the ideal platforms to investigate the effect of Near Threshold Resonances (NTR) on scattering processes. Due to the small reduced mass of those systems,…

原子物理 · 物理学 2017-10-25 D. Shu , I. Simbotin , R. Côté

Recent research into analog computing has introduced new notions of computing real numbers. Huang, Klinge, Lathrop, Li, and Lutz defined a notion of computing real numbers in real-time with chemical reaction networks (CRNs), introducing the…

新兴技术 · 计算机科学 2021-09-08 Willem Fletcher , Titus H. Klinge , James I. Lathrop , Dawn A. Nye , Matthew Rayman

Hebbian theory seeks to explain how the neurons in the brain adapt to stimuli, to enable learning. An interesting feature of Hebbian learning is that it is an unsupervised method and as such, does not require feedback, making it suitable in…

神经元与认知 · 定量生物学 2022-06-07 Jakub Fil , Neil Dalchau , Dominique Chu

We extend the traditional framework of steady state energy transduction -- typically characterized by a single input and output -- to multi-resource transduction in open chemical reaction networks (CRNs). Transduction occurs when…

分子网络 · 定量生物学 2025-07-24 Massimo Bilancioni , Massimiliano Esposito

Cycles, which can be found in many different kinds of networks, make the problems more intractable, especially when dealing with dynamical processes on networks. On the contrary, tree networks in which no cycle exists, are simplifications…

物理与社会 · 物理学 2021-04-07 Wenjun Zhang , Wei Li , Weibing Deng

Despite rapid improvements in the performance of central processing unit (CPU), the calculation cost of simulating chemically reacting flow using CFD remains infeasible in many cases. The application of the convolutional neural networks…

机器学习 · 计算机科学 2023-07-26 Joongoo Jeon , Juhyeong Lee , Sung Joong Kim