Zobrazeno 1 - 10
of 3 390
pro vyhledávání: '"Gowers, A."'
We prove a Freiman--Ruzsa-type theorem with polynomial bounds in arbitrary abelian groups with bounded torsion, thereby proving (in full generality) a conjecture of Marton. Specifically, let $G$ be an abelian group of torsion $m$ (meaning $mg=0$ for
Externí odkaz:
http://arxiv.org/abs/2404.02244
We prove a conjecture of K. Marton, widely known as the polynomial Freiman--Ruzsa conjecture, in characteristic $2$. The argument extends to odd characteristic, with details to follow in a subsequent paper.
Comment: 33 pages, updated version now
Comment: 33 pages, updated version now
Externí odkaz:
http://arxiv.org/abs/2311.05762
Autor:
Collins, Katherine M., Jiang, Albert Q., Frieder, Simon, Wong, Lionel, Zilka, Miri, Bhatt, Umang, Lukasiewicz, Thomas, Wu, Yuhuai, Tenenbaum, Joshua B., Hart, William, Gowers, Timothy, Li, Wenda, Weller, Adrian, Jamnik, Mateja
There is much excitement about the opportunity to harness the power of large language models (LLMs) when building problem-solving assistants. However, the standard methodology of evaluating LLMs relies on static pairs of inputs and outputs, and is in
Externí odkaz:
http://arxiv.org/abs/2306.01694
Autor:
Gowers, W. T., Karam, Thomas
Let $p$ be a prime, let $S$ be a non-empty subset of $\mathbb{F}_p$ and let $0<\epsilon\leq 1$. We show that there exists a constant $C=C(p, \epsilon)$ such that for every positive integer $k$, whenever $\phi_1, \dots, \phi_k: \mathbb{F}_p^n \rightar
Externí odkaz:
http://arxiv.org/abs/2306.00747
The spatiotemporal stochastic dynamics of the voltage as well as the upcrossing rate are derived for a model neuron comprising a long dendrite with uniformly distributed filtered excitatory and inhibitory synaptic drive. A cascade of ordinary and par
Externí odkaz:
http://arxiv.org/abs/2304.08353
Autor:
Joshua Card-Gowers, Lise Retat, Ada Kumar, Brad A. Marder, Lissa Padnick-Silver, Brian LaMoreaux, Laura Webber
Publikováno v:
Rheumatology and Therapy, Vol 11, Iss 4, Pp 913-926 (2024)
Abstract Introduction Gout, a common comorbidity of chronic kidney disease (CKD), is associated with high morbidity and healthcare utilization. However, a large proportion of gout remains undermanaged or untreated which may lead to worse patient outc
Externí odkaz:
https://doaj.org/article/88dd9505cb6f4258a32d851321286a06
Autor:
Robert E. Hynds, Ariana Huebner, David R. Pearce, Mark S. Hill, Ayse U. Akarca, David A. Moore, Sophia Ward, Kate H. C. Gowers, Takahiro Karasaki, Maise Al Bakir, Gareth A. Wilson, Oriol Pich, Carlos Martínez-Ruiz, A. S. Md Mukarram Hossain, Simon P. Pearce, Monica Sivakumar, Assma Ben Aissa, Eva Grönroos, Deepak Chandrasekharan, Krishna K. Kolluri, Rebecca Towns, Kaiwen Wang, Daniel E. Cook, Leticia Bosshard-Carter, Cristina Naceur-Lombardelli, Andrew J. Rowan, Selvaraju Veeriah, Kevin Litchfield, Philip A. J. Crosbie, Caroline Dive, Sergio A. Quezada, Sam M. Janes, Mariam Jamal-Hanjani, Teresa Marafioti, TRACERx consortium, Nicholas McGranahan, Charles Swanton
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-21 (2024)
Abstract Patient-derived xenograft (PDX) models are widely used in cancer research. To investigate the genomic fidelity of non-small cell lung cancer PDX models, we established 48 PDX models from 22 patients enrolled in the TRACERx study. Multi-regio
Externí odkaz:
https://doaj.org/article/15a9cb6171ca46d4a07fbfbe6bf74b76
Autor:
Card-Gowers, Joshua1 (AUTHOR), Retat, Lise1 (AUTHOR), Kumar, Ada2 (AUTHOR), Marder, Brad A.2 (AUTHOR), Padnick-Silver, Lissa2 (AUTHOR), LaMoreaux, Brian2 (AUTHOR), Webber, Laura1 (AUTHOR) laura.webber@healthlumen.com
Publikováno v:
Rheumatology & Therapy. Aug2024, Vol. 11 Issue 4, p913-926. 14p.
Autor:
Gowers, W. T., Karam, Thomas
Let $p$ be a prime and let $S$ be a non-empty subset of $\mathbb{F}_p$. Generalizing a result of Green and Tao on the equidistribution of high-rank polynomials over finite fields, we show that if $P: \mathbb{F}_p^n \rightarrow \mathbb{F}_p$ is a poly
Externí odkaz:
http://arxiv.org/abs/2209.04932
Autor:
Doerr, Barbara, Botham, Phil, Clare, Gill, Gott, David, Gowers, Alison, Guercio, Valentina, Gunter Kuhnle, Loizou, George, Lovell, David P., Pearce, Neil, Rushton, Lesley, Toledano, Mireille, Wallace, Heather M., Boobis, Alan R.
Publikováno v:
In Regulatory Toxicology and Pharmacology August 2024 151