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Mathematical modeling has broad applications in neuroscience whether modeling the dynamics of a single synapse or an entire network of neurons. In Part I, we model vesicle replenishment and release at the photoreceptor synapse to better…

神经元与认知 · 定量生物学 2017-02-23 Caitlyn M. Parmelee

The exponential growth in the number of complex datasets every year requires more enhancement in machine learning methods to provide robust and accurate data classification. Lately, deep learning approaches have achieved surpassing results…

机器学习 · 计算机科学 2018-10-22 Mojtaba Heidarysafa , Kamran Kowsari , Donald E. Brown , Kiana Jafari Meimandi , Laura E. Barnes

Recent work emphasizes that the maximum entropy principle provides a bridge between statistical mechanics models for collective behavior in neural networks and experiments on networks of real neurons. Most of this work has focused on…

神经元与认知 · 定量生物学 2015-06-05 Gasper Tkacik , Olivier Marre , Thierry Mora , Dario Amodei , Michael J. Berry , William Bialek

We present a methodology combining neural networks with physical principle constraints in the form of partial differential equations (PDEs). The approach allows to train neural networks while respecting the PDEs as a strong constraint in…

数值分析 · 数学 2021-09-06 Sebastian K. Mitusch , Simon W. Funke , Miroslav Kuchta

We describe a new algorithm to calculate the vibrational nuclear level density of an atomic nucleus. Fictitious perturbation operators that probe the response of the system are generated by drawing their matrix elements from some…

核理论 · 物理学 2024-09-13 Antonio Bjelčić , Nicolas Schunck

The potential of neural networks (NN) in engineering is rooted in their capacity to understand intricate patterns and complex systems, leveraging their universal nonlinear approximation capabilities and high expressivity. Meanwhile,…

计算工程、金融与科学 · 计算机科学 2025-01-23 Mohammed Abda , Elsa Piollet , Christopher Blake , Frédérick P. Gosselin

We present a brief overview of nuclear multifragmentation reaction. Basic formalism of canonical thermodynamical model based on equilibrium statistical mechanics is described. This model is used to calculate basic observables of nuclear…

核理论 · 物理学 2020-09-03 G. Chaudhuri , S. Mallik , S. Das Gupta

A synaptic theory of Working Memory (WM) has been developed in the last decade as a possible alternative to the persistent spiking paradigm. In this context, we have developed a neural mass model able to reproduce exactly the dynamics of…

神经元与认知 · 定量生物学 2025-05-29 Halgurd Taher , Alessandro Torcini , Simona Olmi

We present Neural Random Forest Imitation - a novel approach for transforming random forests into neural networks. Existing methods propose a direct mapping and produce very inefficient architectures. In this work, we introduce an imitation…

机器学习 · 计算机科学 2024-04-05 Christoph Reinders , Bodo Rosenhahn

Supersymmetric Standard Model has been built to solve the hierarchy problem which is encountered whenever Standard Model is incorporated into a theory with a larger mass scale. Experimentally, one of the first signals of physics beyond…

高能物理 - 唯象学 · 物理学 2007-05-23 Sudhir K. Vempati

Machine learning is employed to build an energy density functional for self-bound nuclear systems for the first time. By learning the kinetic energy as a functional of the nucleon density alone, a robust and accurate orbital-free density…

核理论 · 物理学 2022-03-21 X. H. Wu , Z. X. Ren , P. W. Zhao

In chemical reaction network theory, ordinary differential equations are used to model the temporal change of chemical species concentration. As the functional form of these ordinary differential equations systems is derived from an…

分子网络 · 定量生物学 2025-02-27 Anna C. M. Thöni , William E. Robinson , Yoram Bachrach , Wilhelm T. S. Huck , Tal Kachman

Generative neural networks can produce data samples according to the statistical properties of their training distribution. This feature can be used to test modern computational neuroscience hypotheses suggesting that spontaneous brain…

神经与进化计算 · 计算机科学 2025-07-29 Lorenzo Tausani , Alberto Testolin , Marco Zorzi

Although nuclear fission can be understood qualitatively as an evolution of the nuclear shape, a quantitative description has proven to be very elusive. In particular, until now, there exists no model with demonstrated predictive power for…

核理论 · 物理学 2011-04-05 Jorgen Randrup , Peter Moller

One of the main challenges in modeling massive stars to the onset of core collapse is the computational bottleneck of nucleosynthesis during advanced burning stages. The number of isotopes formed requires solving a large set of…

Calculations of nuclear masses, using nuclear density functional theory, are presented for even-even nuclei spanning the nuclear chart. The resulting binding energy differences can be interpreted in terms of valence proton-neutron…

核理论 · 物理学 2008-11-26 M. Stoitsov , R. B. Cakirli , R. F. Casten , W. Nazarewicz , W. Satula

The accurate classification of mass lesions in the adrenal glands (adrenal masses), detected with computed tomography (CT), is important for diagnosis and patient management. Adrenal masses can be benign or malignant and benign masses have…

计算机视觉与模式识别 · 计算机科学 2022-08-08 Lei Bi , Jinman Kim , Tingwei Su , Michael Fulham , David Dagan Feng , Guang Ning

This study is devoted to the inference problem of extracting the nuclear matter properties directly from a set of mass-radius observations. We employ Bayesian neural networks (BNNs), which is a probabilistic model capable of estimating the…

核理论 · 物理学 2024-09-27 Valéria Carvalho , Márcio Ferreira , Constança Providência

A microscopic nuclear level-density model is presented. The model is a completely combinatorial (micro-canonical) model based on the folded-Yukawa single-particle potential and includes explicit treatment of pairing, rotational and…

核理论 · 物理学 2009-07-26 H. Uhrenholt , S. Åberg , P. Möller , T. Ichikawa

Analyses of multifragmentation in terms of the Fisher droplet model (FDM) and the associated construction of a nuclear phase diagram bring forth the problem of the actual existence of the nuclear vapor phase and the meaning of its…

核实验 · 物理学 2009-11-11 L. G. Moretto , J. B. Elliott , L. Phair
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