Zobrazeno 1 - 10
of 519
pro vyhledávání: '"Kim, Hojin"'
Autor:
Kim, Hojin, van der Naald, Michael, Braaten, Finn A., Witten, Thomas A., Rowan, Stuart J., Jaeger, Heinrich M.
Control of frictional interactions among liquid-suspended particles has led to tunable, strikingly non-Newtonian rheology via the formation of strong flow constraints as particles come into close proximity under shear. Typically, these frictional int
Externí odkaz:
http://arxiv.org/abs/2406.06222
Zagier-Hoffman's conjectures predict the dimension and a basis for the $\mathbb Q$-vector spaces spanned by $N$th cyclotomic multiple zeta values (MZV's) of fixed weight where $N$ is a natural number. For $N=1$ (MZV's case), half of these conjectures
Externí odkaz:
http://arxiv.org/abs/2402.11539
This study explores the potential of physics-informed neural networks (PINNs) for the realization of digital twins (DT) from various perspectives. First, various adaptive sampling approaches for collocation points are investigated to verify their eff
Externí odkaz:
http://arxiv.org/abs/2401.08667
Data-driven surrogate modeling has surged in capability in recent years with the emergence of graph neural networks (GNNs), which can operate directly on mesh-based representations of data. The goal of this work is to introduce an interpretable fine-
Externí odkaz:
http://arxiv.org/abs/2311.07548
Autor:
Kim, Hojin
Ultralong linear polymers are well known to be useful in a variety of applications such as mist control, drag reduction, and agricultural spray drift control. However, the application of ultralong linear polymers is limited by shear degradation of th
In \cite{IKLNDP23} we presented a systematic study of algebra structures of multiple zeta values in positive characteristic introduced by Thakur as analogues of classical multiple zeta values of Euler. In this paper we construct algebra and Hopf alge
Externí odkaz:
http://arxiv.org/abs/2304.02337
In this paper, we present offline-to-online knowledge distillation (OOKD) for video instance segmentation (VIS), which transfers a wealth of video knowledge from an offline model to an online model for consistent prediction. Unlike previous methods t
Externí odkaz:
http://arxiv.org/abs/2302.07516
Multiples zeta values (MZV's for short) in positive characteristic were introduced by Thakur as analogues of classical multiple zeta values of Euler. In this paper we give a systematic study of algebraic structures of MZV's in positive characteristic
Externí odkaz:
http://arxiv.org/abs/2301.05906
In this paper, we study common zeros of the iterated derivatives of the Eisenstein series for $\Gamma_0^+(N)$ of level $N=1,2$ and $3$, which are quasi-modular forms. More precisely, we investigate the common zeros of quasi-modular forms, and prove t
Externí odkaz:
http://arxiv.org/abs/2206.06798
Multiples zeta values and alternating multiple zeta values in positive characteristic were introduced by Thakur and Harada as analogues of classical multiple zeta values of Euler and Euler sums. In this paper we determine all linear relations among a
Externí odkaz:
http://arxiv.org/abs/2205.07165