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How Easy Is It to Learn Motion Models from Widefield Fluorescence Single Particle Tracks?
Zachary H. Hendrix, Lance W. Q. Xu, Steve Presse
https://arxiv.org/abs/2507.05599

How Easy Is It to Learn Motion Models from Widefield Fluorescence Single Particle Tracks?
Motion models are often deduced from fluorescence widefield tracking experiments by analyzing single-particle trajectories post-processed from the data. This analysis immediately raises the following question: To what degree is our ability to learn motion models impacted by analyzing post-processed trajectories versus the raw measurements? To answer this question, we mathematically formulate a data likelihood for diffraction-limited fluorescence widefield tracking experiments. In particular, we…

https://www.theverge.com/notepad-microsoft-newsletter/754647/microsoft-grok-4-roll-out-private-preview-notepad?utm_content=buffer2ce4c&…

Microsoft is cautiously onboarding Grok 4 following Hitler concerns
Microsoft is taking a careful approach with rolling out Grok 4 on Azure AI Foundry. It’s working on a private preview for a handful of customers.

Harmony-Aware Music-driven Motion Synthesis with Perceptual Constraint on UGC Datasets
Xinyi Wu, Haohong Wang, Aggelos K. Katsaggelos
https://arxiv.org/abs/2506.07076

Harmony-Aware Music-driven Motion Synthesis with Perceptual Constraint on UGC Datasets
With the popularity of video-based user-generated content (UGC) on social media, harmony, as dictated by human perceptual principles, is critical in assessing the rhythmic consistency of audio-visual UGCs for better user engagement. In this work, we propose a novel harmony-aware GAN framework, following a specifically designed harmony evaluation strategy to enhance rhythmic synchronization in the automatic music-to-motion synthesis using a UGC dance dataset. This harmony strategy utilizes refin…

Chemotaxis Models with Nonlinear/Porous Medium Diffusion, Consumption, and Logistic source on $\mathbb{R}^N$: I. Global Solvability and Boundedness
Zulaihat Hassan, Wenxian Shen, Yuming Paul Zhang
https://arxiv.org/abs/2509.05494

Chemotaxis Models with Nonlinear/Porous Medium Diffusion, Consumption, and Logistic source on $\mathbb{R}^N$: I. Global Solvability and Boundedness
This series of papers is concerned with the global solvability, boundedness, regularity, and uniqueness of weak solutions to the following parabolic-parabolic chemotaxis system with a logistic source and chemical consumption: \begin{equation*} \begin{cases} u_t = m\nabla\cdot \left((\eps+u)^{m-1}\nabla u\right) - χ\nabla \cdot (u \nabla v) + u(a - b u), & \text{ in } (0,\infty)\times\mathbb{R}^N, \\ v_t = Δv - uv, & \text{ in } (0,\infty)\times\mathbb{R}^N, \end{cases} \end{equation*} where $…

MoDiT: Learning Highly Consistent 3D Motion Coefficients with Diffusion Transformer for Talking Head Generation
Yucheng Wang, Dan Xu
https://arxiv.org/abs/2507.05092

MoDiT: Learning Highly Consistent 3D Motion Coefficients with Diffusion Transformer for Talking Head Generation
Audio-driven talking head generation is critical for applications such as virtual assistants, video games, and films, where natural lip movements are essential. Despite progress in this field, challenges remain in producing both consistent and realistic facial animations. Existing methods, often based on GANs or UNet-based diffusion models, face three major limitations: (i) temporal jittering caused by weak temporal constraints, resulting in frame inconsistencies; (ii) identity drift due to ins…

Chebyshev smoothing with adaptive block-FSAI preconditioners for the multilevel solution of higher-order problems
Pablo Jim\'enez Recio, Marc Alexander Schweitzer
https://arxiv.org/abs/2509.06744

Chebyshev smoothing with adaptive block-FSAI preconditioners for the multilevel solution of higher-order problems
In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V-cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind. For our test problems, we rely on the partition of unity method to discretize the biharmonic and triharmonic equations in a multilevel manner. Inspired by existing algorithms, we introduce a new adaptive algorithm for the construction of sparse approximate inverses, based on t…

FB-Diff: Fourier Basis-guided Diffusion for Temporal Interpolation of 4D Medical Imaging
Xin You, Runze Yang, Chuyan Zhang, Zhongliang Jiang, Jie Yang, Nassir Navab
https://arxiv.org/abs/2507.04547

FB-Diff: Fourier Basis-guided Diffusion for Temporal Interpolation of 4D Medical Imaging
The temporal interpolation task for 4D medical imaging, plays a crucial role in clinical practice of respiratory motion modeling. Following the simplified linear-motion hypothesis, existing approaches adopt optical flow-based models to interpolate intermediate frames. However, realistic respiratory motions should be nonlinear and quasi-periodic with specific frequencies. Intuited by this property, we resolve the temporal interpolation task from the frequency perspective, and propose a Fourier b…

Writer Ariel Courage on never feeling finished https://thecreativeindependent.com/people/writer-ariel-courage-on-ne…

Writer Ariel Courage on never feeling finished – The Creative Independent
Author Ariel Courage discusses hyper-individualism, MFAs, and writing as a social act.

New filing: "U.S. v. Russell (Trump admin sues judges)"
Doc #52: Memorandum re 14 MOTION for Preliminary Injunction
Reply in support of Motion for a Preliminary Injunction and Response to Motion to Dismiss filed by United…
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