Zobrazeno 1 - 10
of 140 553
pro vyhledávání: '"A, Shankar"'
Autonomous racing extends beyond the challenge of controlling a racecar at its physical limits. Professional racers employ strategic maneuvers to outwit other competing opponents to secure victory. While modern control algorithms can achieve human-le
Externí odkaz:
http://arxiv.org/abs/2412.08855
In 1999, Zhang proved that, for first passage percolation on the square lattice $\mathbb{Z}^2$ with i.i.d. non-negative edge weights, if the probability that the passage time distribution of an edge $P(t_e = 0) =1/2 $, the critical value for bond per
Externí odkaz:
http://arxiv.org/abs/2412.03415
Autor:
Zhang, Hanyu, Arvin, Chuck, Efimov, Dmitry, Mahoney, Michael W., Perrault-Joncas, Dominique, Ramasubramanian, Shankar, Wilson, Andrew Gordon, Wolff, Malcolm
Modern time-series forecasting models often fail to make full use of rich unstructured information about the time series themselves. This lack of proper conditioning can lead to obvious model failures; for example, models may be unaware of the detail
Externí odkaz:
http://arxiv.org/abs/2412.02525
Autor:
Shankar, Arul, Taniguchi, Takashi
We prove the existence of secondary terms of order $X^{3/4}$, with power saving error terms, in the counting functions of $|{\rm Sel}_2(E)|$, the 2-Selmer group of E, for elliptic curves E having height bounded by X. This is the first improvement on
Externí odkaz:
http://arxiv.org/abs/2412.00995
A painting is more than just a picture on a wall; a painting is a process comprised of many intentional brush strokes, the shapes of which are an important component of a painting's overall style and message. Prior work in modeling brush stroke traje
Externí odkaz:
http://arxiv.org/abs/2412.00597
The Maxwell's equations, a system of linear partial differential equations (PDEs), describe the behavior of electric and magnetic fields in time and space and is essential for many important electromagnetic applications. Although numerical methods ha
Externí odkaz:
http://arxiv.org/abs/2411.18733
Autor:
Shankar, Ravi
We show removability of half-line singularities for viscosity solutions of fully nonlinear elliptic PDEs which have classical density and a Jacobi inequality. An example of such a PDE is the Monge-Amp\`ere equation, and the original proof follows fro
Externí odkaz:
http://arxiv.org/abs/2411.17133
In recent years, significant progress has been made in collecting large-scale datasets to improve segmentation and autonomous driving models. These large-scale datasets are often dominated by common environmental conditions such as "Clear and Day" we
Externí odkaz:
http://arxiv.org/abs/2411.16776
Autor:
Deka, Shankar A., Vaidya, Umesh
Representing nonlinear dynamical systems using the Koopman Operator and its spectrum has distinct advantages in terms of linear interpretability of the model as well as in analysis and control synthesis through the use of well-studied techniques from
Externí odkaz:
http://arxiv.org/abs/2411.16605
Ensuring a smooth rate of efflux of particles from an outlet without unpredictable clogging events is crucial in processing powders and grains. We show by experiments and simulations that an obstacle placed near the outlet can greatly suppress clog f
Externí odkaz:
http://arxiv.org/abs/2411.11264