Zobrazeno 1 - 10
of 25 946
pro vyhledávání: '"A, Root"'
Autor:
Root, Jonathan
Let $f(x) \in \mathbb{F}_p[x]$, and define the orbit of $x\in \mathbb{F}_p$ under the iteration of $f$ to be the set \[ \mathcal{O}(x):=\{x,f(x),(f\circ f)(x),(f\circ f\circ f)(x),\dots\}. \] An orbit is a $k$-cycle if it is periodic of length $k$. I
Externí odkaz:
http://arxiv.org/abs/2410.00716
Autor:
Root, Jonathan, Kon, Mark
A metric probability space $(\Omega,d)$ obeys the ${\it concentration\; of\; measure\; phenomenon}$ if subsets of measure $1/2$ enlarge to subsets of measure close to 1 as a transition parameter $\epsilon$ approaches a limit. In this paper we conside
Externí odkaz:
http://arxiv.org/abs/2408.02540
The rapid growth in the size of deep learning models strains the capabilities of traditional dense computation paradigms. Leveraging sparse computation has become increasingly popular for training and deploying large-scale models, but existing deep l
Externí odkaz:
http://arxiv.org/abs/2405.16883
We study matching markets with aligned preferences and establish a connection between common design objectives -- stability, efficiency, and fairness -- and the theory of optimal transport. Optimal transport gives new insights into the structural pro
Externí odkaz:
http://arxiv.org/abs/2402.13378
Autor:
Root, Owen, Becker, Maria
The fundamental principles of quantum mechanics, such as its probabilistic nature, allow for the theoretical ability of quantum computers to generate statistically random numbers, as opposed to classical computers which are only able to generate pseu
Externí odkaz:
http://arxiv.org/abs/2401.12250
Autor:
Root, Joseph, Ahn, David S.
We introduce a novel family of mechanisms for constrained allocation problems which we call local priority mechanisms. These mechanisms are parameterized by a function which assigns a set of agents, the local compromisers, to every infeasible allocat
Externí odkaz:
http://arxiv.org/abs/2309.04020
Autor:
Baryshnikov, Yuliy, Root, Joseph
We give a new proof of the Gibbard-Satterthwaite Theorem. We construct two topological spaces: one for the space of preference profiles and another for the space of outcomes. We show that social choice functions induce continuous mappings between the
Externí odkaz:
http://arxiv.org/abs/2309.03123
Autor:
Lauren C Ladehoff, Kevin T. Root, Marco Foreman, Jeffrey B. Brown, Paul Bryce Webb, Michael J Diaz, Kamil Taneja, Karan Patel, Brandon Lucke-Wold, Robert P. Wessel
Publikováno v:
Journal of Craniovertebral Junction and Spine, Vol 15, Iss 3, Pp 331-337 (2024)
Introduction: Atlas and axis fractures are the most severe cervical fractures which may result in complete paralysis or death. The purpose of the current study is to identify disparities regarding length of stay (LOS), mortality, and demographic fact
Externí odkaz:
https://doaj.org/article/b3fc9a862a9349abb549d8ad9cd2bce0
Autor:
Dantuma, M., Lucka, F., Kruitwagen, S. C., Javaherian, A., Alink, L., van Meerdervoort, R. P. Pompe, Nanninga, M., Root, T. J. P. M. Op 't, De Santi, B., Budisky, J., Bordovsky, G., Coffy, E., Wilm, M., Kasponas, T., Aarnink, S. H., de Geus-Oei, L. F., Brochin, F., Martinez, T., Michailovas, A., Kobold, W. Muller, Jaros, J., Veltman, J., Cox, B., Manohar, S.
Photoacoustic tomography is a contrast agent-free imaging technique capable of visualizing blood vessels and tumor-associated vascularization in breast tissue. While sophisticated breast imaging systems have been recently developed, there is yet much
Externí odkaz:
http://arxiv.org/abs/2308.06754
Autor:
Peach, Natalie, Kihas, Ivana, Isik, Ashling, Cassar, Joanne, Barrett, Emma Louise, Cobham, Vanessa, Back, Sudie E., Perrin, Sean, Bendall, Sarah, Brady, Kathleen, Ross, Joanne, Teesson, Maree, Bezzina, Louise, Dobinson, Katherine A., Schollar-Root, Olivia, Milne, Bronwyn, Mills, Katherine L.
Publikováno v:
Advances in Dual Diagnosis, 2024, Vol. 17, Issue 2, pp. 54-71.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/ADD-11-2023-0021