Existence and multiplicity of $L^2$-Normalized solutions for the periodic Schrödinger system of Hamiltonian type
In this paper, we study the following nonlinear Schr\”{O}dinger system of Hamiltonian type \begin{equation*} \left\{\begin{array}{l} -\Delta u+V(x)u=\partial_v H(x,u,v)+\omega v, \ x \in \mathbb{R}^N, \\ -\Delta v+V(x)v=\partial_u H(x,u,v)+\omega u,\ x \in \mathbb{R}^N, \\ \displaystyle\int_{\mathbb{R}^N}|z|^2dx=a^2, \end{array}\right. \end{equation*} where the potential function $V(x)$ is periodic,...
Neural Kinematic Bases for Fluids
We propose mesh-free fluid simulations that exploit a kinematic neural basis for velocity fields represented by an MLP. We design a set of losses that ensures that these neural bases satisfy fundamental physical properties such as orthogonality, divergence-free, boundary alignment, and smoothness....
DiTPainter: Efficient Video Inpainting with Diffusion Transformers
Many existing video inpainting algorithms utilize optical flows to construct the corresponding maps and then propagate pixels from adjacent frames to missing areas by mapping. Despite the effectiveness of the propagation mechanism, they might encounter blurry and inconsistencies when dealing with inaccurate...
Symbolic Runtime Verification and Adaptive Decision-Making for Robot-Assisted Dressing
We present a control framework for robot-assisted dressing that augments low-level hazard response with runtime monitoring and formal verification. A parametric discrete-time Markov chain (pDTMC) models the dressing process, while Bayesian inference dynamically updates this pDTMC’s transition probabilities based on sensory and...
Comparative Analysis of Evolutionary Algorithms for Energy-Aware Production Scheduling
The energy transition is driving rapid growth in renewable energy generation, creating the need to balance energy supply and demand with energy price awareness. One such approach for manufacturers to balance their energy demand with available energy is energyaware production planning. Through...
Zoozve: A Strip-Mining-Free RISC-V Vector Extension with Arbitrary Register Grouping Compilation Support (WIP)
Vector processing is crucial for boosting processor performance and efficiency, particularly with data-parallel tasks. The RISC-V “V” Vector Extension (RVV) enhances algorithm efficiency by supporting vector registers of dynamic sizes and their grouping. Nevertheless, for very long vectors, the static number of...
Policy-Based Radiative Transfer: Solving the $2$-Level Atom Non-LTE Problem using Soft Actor-Critic Reinforcement Learning
We present a novel reinforcement learning (RL) approach for solving the classical 2-level atom non-LTE radiative transfer problem by framing it as a control task in which an RL agent learns a depth-dependent source function $S(\tau)$ that self-consistently satisfies the equation of...
Dynamics of late time universe in $f(Q)$ gravity
We construct cosmological model in nonmetricity scalar functional gravitational Lagrangian $f(Q)$ which describes the dynamical evolution of the late accelerating universe. Cosmological models are constructed considering different functional of $f(Q)$ gravity where $Q$ in the gravitational action. We obtain cosmological model probing...
Vidi: Large Multimodal Models for Video Understanding and Editing
Humans naturally share information with those they are connected to, and video has become one of the dominant mediums for communication and expression on the Internet. To support the creation of high-quality large-scale video content, a modern pipeline requires a comprehensive understanding...
The essential norm of Toeplitz operators between Bergman spaces induced by doubling weights
This paper investigates the essential norm of Toeplitz operators $\mathcal{T}_\mu$ acting from the Bergman space $A_\omega^p$ to $A_\omega^q$ ($1 < p \leq q < \infty$) on the unit ball, where $\mu$ is a positive Borel measure and $\omega \in \mathcal{D}$ (a class...