Learning Deterministic and Stochastic Forced Hamiltonian Systems
本文提出一种基于拉格朗日-达朗贝尔原理的几何框架,通过构建广义强迫哈密顿神经网络(GFHNNs)来学习确定性和随机性强迫哈密顿系统,提高了长期稳定性和准确性。
本文提出一种基于拉格朗日-达朗贝尔原理的几何框架,通过构建广义强迫哈密顿神经网络(GFHNNs)来学习确定性和随机性强迫哈密顿系统,提高了长期稳定性和准确性。
This study investigates Indian internet users’ awareness, attitudes, and concerns regarding cookie banners, online privacy, and key provisions of the Digital Personal Data Protection Act (DPDPA)—notably government exemptions and consent mechanisms—during its initial implementation phase. Employing a mixed-methods design, it administered an anonymous survey to 428 users and conducted thematic coding of 143 open-ended responses. The study provides the first empirical evidence of a pronounced gap between users’ stated privacy concerns and actual behavioral practices, identifying deep public distrust in governmental data powers as a central determinant of privacy stance. It further innovatively reveals how the DPDPA’s accountability exemptions and proceduralized consent framework exacerbate legitimacy anxieties. Based on these findings, the study proposes user-centered policy refinements: enhancing transparency, redesigning consent as a dynamic, context-aware mechanism, and institutionalizing regulatory checks and balances.
This work addresses the fractal inverse problem in image modeling—recovering Iterated Function System (IFS) parameters from a single natural image to capture self-similarity and enable artifact-free, arbitrary-scale synthesis. We propose the first joint optimization framework integrating chaotic optimization with differentiable point-splatting rendering: chaotic dynamics enhance global search capability, enabling escape from local minima in complex energy landscapes; differentiable rendering facilitates end-to-end gradient-based optimization of IFS affine parameters. This hybrid stochastic-deterministic algorithm significantly improves fractal code reconstruction fidelity. In comprehensive benchmark evaluations, it achieves an average PSNR gain of 3.2 dB over state-of-the-art methods. Moreover, it supports depth scaling up to 100× while preserving rich hierarchical detail without ringing artifacts or blocking effects.
本文提出一种基于拉格朗日-达朗贝尔原理的几何框架,通过构建广义强迫哈密顿神经网络(GFHNNs)来学习确定性和随机性强迫哈密顿系统,提高了长期稳定性和准确性。
This study investigates Indian internet users’ awareness, attitudes, and concerns regarding cookie banners, online privacy, and key provisions of the Digital Personal Data Protection Act (DPDPA)—notably government exemptions and consent mechanisms—during its initial implementation phase. Employing a mixed-methods design, it administered an anonymous survey to 428 users and conducted thematic coding of 143 open-ended responses. The study provides the first empirical evidence of a pronounced gap between users’ stated privacy concerns and actual behavioral practices, identifying deep public distrust in governmental data powers as a central determinant of privacy stance. It further innovatively reveals how the DPDPA’s accountability exemptions and proceduralized consent framework exacerbate legitimacy anxieties. Based on these findings, the study proposes user-centered policy refinements: enhancing transparency, redesigning consent as a dynamic, context-aware mechanism, and institutionalizing regulatory checks and balances.
This work addresses the fractal inverse problem in image modeling—recovering Iterated Function System (IFS) parameters from a single natural image to capture self-similarity and enable artifact-free, arbitrary-scale synthesis. We propose the first joint optimization framework integrating chaotic optimization with differentiable point-splatting rendering: chaotic dynamics enhance global search capability, enabling escape from local minima in complex energy landscapes; differentiable rendering facilitates end-to-end gradient-based optimization of IFS affine parameters. This hybrid stochastic-deterministic algorithm significantly improves fractal code reconstruction fidelity. In comprehensive benchmark evaluations, it achieves an average PSNR gain of 3.2 dB over state-of-the-art methods. Moreover, it supports depth scaling up to 100× while preserving rich hierarchical detail without ringing artifacts or blocking effects.