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pro vyhledávání: '"P England"'
Symbolic integration is a fundamental problem in mathematics: we consider how machine learning may be used to optimise this task in a Computer Algebra System (CAS). We train transformers that predict whether a particular integration method will be su
Externí odkaz:
http://arxiv.org/abs/2410.23948
Autor:
Fenwick, Kate L., Baker, Jonathan, Thekkadath, Guillaume S., Goldberg, Aaron Z., Heshami, Khabat, Bustard, Philip J., England, Duncan, Bouchard, Frédéric, Sussman, Benjamin
Multiphoton interference is crucial to many photonic quantum technologies. In particular, interference forms the basis of optical quantum information processing platforms and can lead to significant computational advantages. It is therefore interesti
Externí odkaz:
http://arxiv.org/abs/2409.11483
A significant contribution to the temporal resolution of an ultrafast electron diffraction (UED) instrument is arrival time jitter caused by amplitude and phase variation of radio frequency (RF) cavities. In this paper, we present a semi-analytical a
Externí odkaz:
http://arxiv.org/abs/2408.00937
Autor:
Xu, Tianzhe, England, Robert Joel
Magnetic compressors offer an attractive path toward jitter-free bunch compression in MeV-UED. Compared with RF bunchers, magnetic compressors do not introduce additional timing jitter and can be configured to minimize timing jitter due to upstream e
Externí odkaz:
http://arxiv.org/abs/2408.00936
Autor:
England, Matthew
Publikováno v:
F. Boulier, C. Mou, T.M. Sadykov, and E.V. Vorozhtsov, eds. Computer Algebra in Scientific Computing (Proc. CASC '24), pp. 1-10. (Lecture Notes in Computer Science, vol 14938). Springer International, 2024
This extended abstract accompanies an invited talk at CASC 2024, which surveys recent developments in Real Quantifier Elimination (QE) and Cylindrical Algebraic Decomposition (CAD). After introducing these concepts we will first consider adaptations
Externí odkaz:
http://arxiv.org/abs/2407.19781
Autor:
Anthony, Lucas, Burton, Joe, Deegbe, Irene, England, Sarah, Hamblen, Spencer, Knowles, Reagan, Stewart, Sarah, Wright, Hannah
Let $p$ be prime and $e,k$ be positive integers, and let $R = {\mathbb Z}_p[\sqrt[e]{p}]$. We calculate the Waring numbers $g_R(k)$ for many values of $p, e$, and $k$, and investigate how the Waring numbers for $p=2$ change as $e$ and $k$ vary.
Externí odkaz:
http://arxiv.org/abs/2407.14624
Autor:
Park, Jinseo, Angelico, Evan, Arzac, Andrew, Braga, Davide, Datta, Ahan, England, Troy, Ertley, Camden, Fahim, Farah, Frisch, Henry J., Heintz, Mary, Oberla, Eric, Pastika, Nathaniel J., Rico-Aniles, Hector D., Rubinov, Paul M., Wang, Xiaoran, Yeung, Yui Man Richmond, Zimmerman, Tom N.
1 ps timing resolution is the entry point to signature based searches relying on secondary/tertiary vertices and particle identification. We describe a preliminary design for PSEC5, an 8-channel 40 GS/s waveform-sampling ASIC in the TSMC 65 nm proces
Externí odkaz:
http://arxiv.org/abs/2407.09575
We present the first use of machine learning tools to predict multistationarity of reaction networks. Chemical Reaction Networks (CRNs) are the mathematical formulation of how the quantities associated to a set of species (molecules, proteins, cells,
Externí odkaz:
http://arxiv.org/abs/2407.01760
Publikováno v:
F. Boulier, C. Mou, T.M. Sadykov, and E.V. Vorozhtsov, eds. Computer Algebra in Scientific Computing (Proc. CASC '24), pp. 47-62. (Lecture Notes in Computer Science, vol 14938). Springer International, 2024
There has been a growing need to devise processes that can create comprehensive datasets in the world of Computer Algebra, both for accurate benchmarking and for new intersections with machine learning technology. We present here a method to generate
Externí odkaz:
http://arxiv.org/abs/2406.11631
In this work, we introduce a quantum-based quantitative phase microscopy technique using a phase gradient approach that is inherently background resistant and does not rely on interferometry or scanning. Here, a transparent sample is illuminated by b
Externí odkaz:
http://arxiv.org/abs/2406.06377