Zobrazeno 1 - 10
of 29 974
pro vyhledávání: '"P. Sawyer"'
Autor:
Robertson, Sawyer Jack
There are several interweaving notions of discrete curvature on graphs. Many approaches utilize the optimal transportation metric on its probability simplex or the distance matrix of the graph. Since each of these ingredients is well understood when
Externí odkaz:
http://arxiv.org/abs/2412.20661
Autor:
Robertson, Sawyer Jack
We consider graphs where edges and their signs are added independently at random from among all pairs of nodes. We establish strong concentration inequalities for adjacency and Laplacian matrices obtained from this family of random graph models. Then
Externí odkaz:
http://arxiv.org/abs/2412.20620
Autor:
Li, Zhaoyi, Campell, Sawyer D., Park, Joon-Suh, Jenkins, Ronald P., Lim, Soon Wei Daniel, Werner, Douglas H., Capasso, Federico
Metasurfaces, with their ability to control electromagnetic waves, hold immense potential in optical device design, especially for applications requiring precise control over dispersion. This work introduces an approach to dispersion engineering usin
Externí odkaz:
http://arxiv.org/abs/2412.12028
Autor:
Sawyer, P.
In this paper, we provide a reduction formula for the Dunkl kernel for the root systems of type $A$. The Dunkl kernel for the root system $A_n$ is expressed as an integral involving the Dunkl kernel for the root system $A_{n-1}$. The corresponding re
Externí odkaz:
http://arxiv.org/abs/2412.10866
Autor:
Ke, Nan Rosemary, Sawyer, Danny P., Soyer, Hubert, Engelcke, Martin, Reichert, David P, Hudson, Drew A., Reid, John, Lerchner, Alexander, Rezende, Danilo Jimenez, Lillicrap, Timothy P, Mozer, Michael, Wang, Jane X
While problem solving is a standard evaluation task for foundation models, a crucial component of problem solving -- actively and strategically gathering information to test hypotheses -- has not been closely investigated. To assess the information g
Externí odkaz:
http://arxiv.org/abs/2412.06438
Autor:
Sawyer, Eric T.
The Fourier extension conjecture in $n\geq 2$ dimensions is, \begin{equation*} \left\Vert \widehat{fd\sigma _{n-1}}\right\Vert _{L^{p}\left( \mathbb{R}% ^{n}\right) }\leq C_{p}\left\Vert f\right\Vert _{L^{p}\left( \sigma _{n-1}\right) },\ \text{for }
Externí odkaz:
http://arxiv.org/abs/2411.18457
What does work and career success mean for those who secure their work using digital labor platforms? Traditional research on success predominantly relies on organizationally-centric benchmarks, such as promotions and income. These measures provide l
Externí odkaz:
http://arxiv.org/abs/2411.14298
Autor:
Lambeta, Mike, Wu, Tingfan, Sengul, Ali, Most, Victoria Rose, Black, Nolan, Sawyer, Kevin, Mercado, Romeo, Qi, Haozhi, Sohn, Alexander, Taylor, Byron, Tydingco, Norb, Kammerer, Gregg, Stroud, Dave, Khatha, Jake, Jenkins, Kurt, Most, Kyle, Stein, Neal, Chavira, Ricardo, Craven-Bartle, Thomas, Sanchez, Eric, Ding, Yitian, Malik, Jitendra, Calandra, Roberto
Touch is a crucial sensing modality that provides rich information about object properties and interactions with the physical environment. Humans and robots both benefit from using touch to perceive and interact with the surrounding environment (Joha
Externí odkaz:
http://arxiv.org/abs/2411.02479
Autor:
Salgado, Abner J., Sawyer, Shane E.
We present a technique for approximating solutions to the spectral fractional Laplacian, which is based on the Caffarelli-Silvestre extension and diagonalization. Our scheme uses the analytic solution to the associated eigenvalue problem in the exten
Externí odkaz:
http://arxiv.org/abs/2409.17388
Autor:
Li, Xin, Huebner, Robert J., Williams, Margot L. K., Sawyer, Jessica, Peifer, Mark, Wallingford, John B., Thirumalai, D.
Cells undergo dramatic changes in morphology during embryogenesis, yet how these changes affect the formation of ordered tissues remains elusive. Here we find that the emergence of a nematic liquid crystal phase occurs in cells during gastrulation in
Externí odkaz:
http://arxiv.org/abs/2407.12124