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The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

统计方法学 · 统计学 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu

The generalization accuracy of machine learning models of potential energy surfaces (PES) and force fields (FF) for large polyatomic molecules can be generally improved either by increasing the number of training points or by improving the…

化学物理 · 物理学 2023-03-20 K. Asnaashari , R. V. Krems

Generalized linear models (GLMs) arise in high-dimensional machine learning, statistics, communications and signal processing. In this paper we analyze GLMs when the data matrix is random, as relevant in problems such as compressed sensing,…

信息论 · 计算机科学 2019-04-01 Jean Barbier , Florent Krzakala , Nicolas Macris , Léo Miolane , Lenka Zdeborová

As recently proved in generality by Hedenmalm and Wennman, it is a universal behavior of complex random normal matrix models that one finds a complementary error function behavior at the boundary (also called edge) of the droplet as the…

数学物理 · 物理学 2025-06-09 L. D. Molag

The vast applications of deep generative models are anchored in three core capabilities -- generating new instances, reconstructing inputs, and learning compact representations -- across various data types, such as discrete text/protein…

The processes of electron-positron annihilation into $\pi^0\gamma$ and into $\pi'(1300)\gamma$ are considered within the NJL model. Intermediate vector mesons $\rho^0$, $\omega$, $\rho'(1450)$, and $\omega'(1420)$ are taken into account.…

高能物理 - 唯象学 · 物理学 2015-05-28 A. B. Arbuzov , E. A. Kuraev , M. K. Volkov

Centuries of development in natural sciences and mathematical modeling provide valuable domain expert knowledge that has yet to be explored for the development of machine learning models. When modeling complex physical systems, both domain…

机器学习 · 计算机科学 2020-09-01 Daniel L. Marino , Milos Manic

The cross section of the process $e^+e^-\to\pi^+\pi^-\pi^0$ is measured with a precision of 1.6% to 25% in the energy range between $0.7$ and 3.0 GeV using the Initial State Radiation method. A data set with an integrated luminosity of…

高能物理 - 实验 · 物理学 2019-12-25 M. Ablikim , M. N. Achasov , P. Adlarson , S. Ahmed , M. Albrecht , M. Alekseev , A. Amoroso , F. F. An , Q. An , Y. Bai , O. Bakina , R. Baldini Ferroli , I. Balossino , Y. Ban , K. Begzsuren , J. V. Bennett , N. Berger , M. Bertani , D. Bettoni , F. Bianchi , J Biernat , J. Bloms , I. Boyko , R. A. Briere , H. Cai , X. Cai , A. Calcaterra , G. F. Cao , N. Cao , S. A. Cetin , J. Chai , J. F. Chang , W. L. Chang , G. Chelkov , D. Y. Chen , G. Chen , H. S. Chen , J. Chen , M. L. Chen , S. J. Chen , X. R. Chen , Y. B. Chen , W. Cheng , G. Cibinetto , F. Cossio , X. F. Cui , H. L. Dai , J. P. Dai , X. C. Dai , A. Dbeyssi , D. Dedovich , Z. Y. Deng , A. Denig , I. Denysenko , M. Destefanis , F. De Mori , Y. Ding , C. Dong , J. Dong , L. Y. Dong , M. Y. Dong , Z. L. Dou , S. X. Du , J. Z. Fan , J. Fang , S. S. Fang , Y. Fang , R. Farinelli , L. Fava , F. Feldbauer , G. Felici , C. Q. Feng , M. Fritsch , C. D. Fu , Y. Fu , Q. Gao , X. L. Gao , Y. Gao , Y. Gao , Y. G. Gao , B. Garillon , I. Garzia , E. M. Gersabeck , A. Gilman , K. Goetzen , L. Gong , W. X. Gong , W. Gradl , M. Greco , L. M. Gu , M. H. Gu , S. Gu , Y. T. Gu , A. Q. Guo , L. B. Guo , R. P. Guo , Y. P. Guo , A. Guskov , S. Han , X. Q. Hao , F. A. Harris , K. L. He , F. H. Heinsius , T. Held , Y. K. Heng , M. Himmelreich , Y. R. Hou , Z. L. Hou , H. M. Hu , J. F. Hu , T. Hu , Y. Hu , G. S. Huang , J. S. Huang , X. T. Huang , X. Z. Huang , N. Huesken , T. Hussain , W. Ikegami Andersson , W. Imoehl , M. Irshad , Q. Ji , Q. P. Ji , X. B. Ji , X. L. Ji , H. L. Jiang , X. S. Jiang , X. Y. Jiang , J. B. Jiao , Z. Jiao , D. P. Jin , S. Jin , Y. Jin , T. Johansson , N. Kalantar-Nayestanaki , X. S. Kang , R. Kappert , M. Kavatsyuk , B. C. Ke , I. K. Keshk , A. Khoukaz , P. Kiese , R. Kiuchi , R. Kliemt , L. Koch , O. B. Kolcu , B. Kopf , M. Kuemmel , M. Kuessner , A. Kupsc , M. Kurth , M. G. Kurth , W. K\ühn , J. S. Lange , P. Larin , L. Lavezzi , H. Leithoff , T. Lenz , C. Li , C. H. Li , Cheng Li , D. M. Li , F. Li , G. Li , H. B. Li , H. J. Li , J. C. Li , Ke Li , L. K. Li , Lei Li , P. L. Li , P. R. Li , W. D. Li , W. G. Li , X. H. Li , X. L. Li , X. N. Li , Z. B. Li , Z. Y. Li , H. Liang , H. Liang , Y. F. Liang , Y. T. Liang , G. R. Liao , L. Z. Liao , J. Libby , C. X. Lin , D. X. Lin , Y. J. Lin , B. Liu , B. J. Liu , C. X. Liu , D. Liu , D. Y. Liu , F. H. Liu , Fang Liu , Feng Liu , H. B. Liu , H. M. Liu , Huanhuan Liu , Huihui Liu , J. B. Liu , J. Y. Liu , K. Liu , K. Y. Liu , Ke Liu , L. Y. Liu , Q. Liu , S. B. Liu , T. Liu , X. Liu , X. Y. Liu , Y. B. Liu , Z. A. Liu , Zhiqing Liu , Y. F. Long , X. C. Lou , H. J. Lu , J. D. Lu , J. G. Lu , Y. Lu , Y. P. Lu , C. L. Luo , M. X. Luo , P. W. Luo , T. Luo , X. L. Luo , S. Lusso , X. R. Lyu , F. C. Ma , H. L. Ma , L. L. Ma , M. M. Ma , Q. M. Ma , X. N. Ma , X. X. Ma , X. Y. Ma , Y. M. Ma , F. E. Maas , M. Maggiora , S. Maldaner , S. Malde , Q. A. Malik , A. Mangoni , Y. J. Mao , Z. P. Mao , S. Marcello , Z. X. Meng , J. G. Messchendorp , G. Mezzadri , J. Min , T. J. Min , R. E. Mitchell , X. H. Mo , Y. J. Mo , C. Morales Morales , N. Yu. Muchnoi , H. Muramatsu , A. Mustafa , S. Nakhoul , Y. Nefedov , F. Nerling , I. B. Nikolaev , Z. Ning , S. Nisar , S. L. Niu , S. L. Olsen , Q. Ouyang , S. Pacetti , Y. Pan , M. Papenbrock , P. Patteri , M. Pelizaeus , H. P. Peng , K. Peters , J. Pettersson , J. L. Ping , R. G. Ping , A. Pitka , R. Poling , V. Prasad , M. Qi , S. Qian , C. F. Qiao , X. P. Qin , X. S. Qin , Z. H. Qin , J. F. Qiu , S. Q. Qu , K. H. Rashid , K. Ravindran , C. F. Redmer , M. Richter , A. Rivetti , V. Rodin , M. Rolo , G. Rong , Ch. Rosner , M. Rump , A. Sarantsev , M. Savri\\é , Y. Schelhaas , K. Schoenning , W. Shan , X. Y. Shan , M. Shao , C. P. Shen , P. X. Shen , X. Y. Shen , H. Y. Sheng , X. Shi , X. D Shi , J. J. Song , Q. Q. Song , X. Y. Song , S. Sosio , C. Sowa , S. Spataro , F. F. Sui , G. X. Sun , J. F. Sun , L. Sun , S. S. Sun , X. H. Sun , Y. J. Sun , Y. K Sun , Y. Z. Sun , Z. J. Sun , Z. T. Sun , Y. T Tan , C. J. Tang , G. Y. Tang , X. Tang , V. Thoren , B. Tsednee , I. Uman , B. Wang , B. L. Wang , C. W. Wang , D. Y. Wang , K. Wang , L. L. Wang , L. S. Wang , M. Wang , M. Z. Wang , Meng Wang , P. L. Wang , R. M. Wang , W. P. Wang , X. Wang , X. F. Wang , X. L. Wang , Y. Wang , Y. Wang , Y. F. Wang , Y. Q. Wang , Yaqian Wang , Z. Wang , Z. G. Wang , Z. Y. Wang , Z. Y. Wang , Zongyuan Wang , T. Weber , D. H. Wei , P. Weidenkaff , F. Weidner , H. W. Wen , S. P. Wen , U. Wiedner , G. Wilkinson , M. Wolke , L. H. Wu , L. J. Wu , Z. Wu , L. Xia , Y. Xia , S. Y. Xiao , Y. J. Xiao , Z. J. Xiao , Y. G. Xie , Y. H. Xie , T. Y. Xing , X. A. Xiong , Q. L. Xiu , G. F. Xu , J. J. Xu , L. Xu , Q. J. Xu , W. Xu , X. P. Xu , F. Yan , L. Yan , W. B. Yan , W. C. Yan , Y. H. Yan , H. J. Yang , H. X. Yang , L. Yang , R. X. Yang , S. L. Yang , Y. H. Yang , Y. X. Yang , Yifan Yang , Z. Q. Yang , Zhi Yang , M. Ye , M. H. Ye , J. H. Yin , Z. Y. You , B. X. Yu , C. X. Yu , J. S. Yu , T. Yu , C. Z. Yuan , X. Q. Yuan , Y. Yuan , C. X. Yue , A. Yuncu , A. A. Zafar , Y. Zeng , B. X. Zhang , B. Y. Zhang , C. C. Zhang , D. H. Zhang , H. H. Zhang , H. Y. Zhang , J. Zhang , J. L. Zhang , J. Q. Zhang , J. W. Zhang , J. Y. Zhang , J. Z. Zhang , K. Zhang , L. Zhang , Lei Zhang , S. F. Zhang , T. J. Zhang , X. Y. Zhang , Y. Zhang , Y. H. Zhang , Y. T. Zhang , Yang Zhang , Yao Zhang , Yi Zhang , Yu Zhang , Z. H. Zhang , Z. P. Zhang , Z. Y. Zhang , G. Zhao , J. Zhao , J. W. Zhao , J. Y. Zhao , J. Z. Zhao , Lei Zhao , Ling Zhao , M. G. Zhao , Q. Zhao , S. J. Zhao , T. C. Zhao , Y. B. Zhao , Z. G. Zhao , A. Zhemchugov , B. Zheng , J. P. Zheng , Y. Zheng , Y. H. Zheng , B. Zhong , L. Zhou , L. P. Zhou , Q. Zhou , X. Zhou , X. K. Zhou , X. R. Zhou , Xiaoyu Zhou , Xu Zhou , A. N. Zhu , J. Zhu , J. Zhu , K. Zhu , K. J. Zhu , S. H. Zhu , W. J. Zhu , X. L. Zhu , Y. C. Zhu , Y. S. Zhu , Z. A. Zhu , J. Zhuang , B. S. Zou , J. H. Zou

Recently, Gaussian processes have been used to model the vector field of continuous dynamical systems, referred to as GPODEs, which are characterized by a probabilistic ODE equation. Bayesian inference for these models has been extensively…

机器学习 · 计算机科学 2025-08-11 Jian Xu , Shian Du , Junmei Yang , Xinghao Ding , John Paisley , Delu Zeng

We analyze a 37 pb$^{-1}$ data sample collected with the SND detector at the VEPP-2000 $e^+e^-$ collider in the center-of-mass energy range 1.05--2.00 GeV and present an updated measurement of the $e^+e^- \to \omega \pi^0 \to…

Generalized eigenvalue problems (GEPs) find applications in various fields of science and engineering. For example, principal component analysis, Fisher's discriminant analysis, and canonical correlation analysis are specific instances of…

机器学习 · 计算机科学 2024-11-05 Zhaoqiang Liu , Wen Li , Junren Chen

The $e^+e^- \to \omega \pi^0 \to \pi^0 \pi^0 \gamma$ process was investigated in the SND experiment at the VEPP-2M collider. A narrow energy interval near the $\phi$-meson was scanned. The observed cross-section reveals, at the level of…

High statistics Standard Model processes like fermion- and photon-pair production in e+e- collisions are studied at centre-of-mass energies up to 209 GeV. No significant deviation from the Standard Model is observed, leading to strong…

高能物理 - 实验 · 物理学 2007-05-23 Kirsten Sachs

Although variational autoencoders (VAE) are successfully used to obtain meaningful low-dimensional representations for high-dimensional data, the characterization of critical points of the loss function for general observation models is not…

机器学习 · 计算机科学 2021-10-12 Robert Sicks , Ralf Korn , Stefanie Schwaar

The cross section for the process $e^+e^- \to \omega\eta$ is measured in the center-of-mass energy range 1.34--2.00 GeV. The analysis is based on data collected with the SND detector at the VEPP-2000 $e^+e^-$ collider. The measured $e^+e^-…

The process e+e- -> gamma gamma (gamma) is studied using data collected by the OPAL detector at LEP between the years 1997 and 2000. The data set corresponds to an integrated luminosity of 672.3pb-1 at centre-of-mass energies lying between…

高能物理 - 实验 · 物理学 2008-11-07 The OPAL collaboration , G. Abbiendi

We study a vector dominance model which predicts a fairly large number of currently interesting decay amplitudes of the types S -> \gamma \gamma, V -> S \gamma and S -> V \gamma, where S and V denote scalar and vector mesons, in terms of…

高能物理 - 唯象学 · 物理学 2008-11-26 Deirdre Black , Masayasu Harada , Joseph Schechter

The absence of formal performance guarantees in machine learning (ML) has limited its adoption for safety-critical power system applications, where confidence and interpretability are as vital as accuracy. In this work, we present a…

系统与控制 · 电气工程与系统科学 2025-10-16 Parikshit Pareek , Sidhant Misra , Deepjyoti Deka

Variational autoencoder (VAE) is a widely used generative model for learning latent representations. Burda et al. in their seminal paper showed that learning capacity of VAE is limited by over-pruning. It is a phenomenon where a significant…

机器学习 · 计算机科学 2020-08-10 Rayyan Ahmad Khan , Muhammad Umer Anwaar , Martin Kleinsteuber