Tootfinder

On second-order weak sharp minima of general nonconvex set-constrained optimization problems
Xiaoxiao Ma, Wei Ouyang, Jane Ye, Binbin Zhang
https://arxiv.org/abs/2507.12682

On second-order weak sharp minima of general nonconvex set-constrained optimization problems
This paper explores local second-order weak sharp minima for a broad class of nonconvex optimization problems. We propose novel second-order optimality conditions formulated through the use of classical and lower generalized support functions. These results are based on asymptotic second-order tangent cones and outer second-order tangent sets. Specifically, our findings eliminate the necessity of assuming convexity in the constraint set and/or the outer second-order tangent set, or the nonempti…

🧑‍🤝‍🧑 Modular robots assemble into bridges, shelters and tools for outdoor tasks
#robots

Modular robots assemble into bridges, shelters and tools for outdoor tasks
Modular robots built by Dartmouth researchers are finding their feet outdoors. Engineered to assemble into structures that best suit the task at hand, the robots are pieced together from cube-shaped robotic blocks that combine rigid rods and soft, stretchy strings whose tension can be adjusted to deform the blocks and control their shape.

Homogenization of nonlocal exchange energies in micromagnetics
Rossella Giorgio, Leon Happ, Hidde Sch\"onberger
https://arxiv.org/abs/2507.13262 https…

Homogenization of nonlocal exchange energies in micromagnetics
We study the homogenization of nonlocal micromagnetic functionals incorporating both symmetric and antisymmetric exchange contributions under the physical constraint that the magnetization field takes values in the unit sphere. Assuming that the nonlocal interaction range and the scale of heterogeneities vanish simultaneously, we capture the asymptotic behavior of the nonlocal energies by identifying their $Γ$-limit, leading to an effective local functional expressed through a tangentially con…

Uniqueness of tangent planes and (non-)removable singularities at infinity for collapsed translators
Eddygledson Souza Gama, Francisco Mart\'in, Niels Martin M{\o}ller
https://arxiv.org/abs/2509.11473

Uniqueness of tangent planes and (non-)removable singularities at infinity for collapsed translators
We show that mean curvature flow translators may exhibit non-removable singularities at infinity, due to jump discontinuities in their asymptotic profiles, and that oscillation can persist so as to yield a continuum of subsequential limit tangent planes. Nonetheless, we prove that as time $t\to\pm \infty$, any finite entropy, finite genus, embedded, collapsed translating soliton in $\mathbb{R}^3$ converges to a uniquely determined collection of planes. This requires global analysis of quasili…

Testing $n_s=1$ in light of the latest ACT and SPT data
Ze-Yu Peng, Jun-Qian Jiang, Hao Wang, Yun-Song Piao
https://arxiv.org/abs/2509.11902 https://arxiv.…

Testing $n_s=1$ in light of the latest ACT and SPT data
It is commonly recognized that the primordial scalar spectral index $n_s$ is approximately $0.96-0.975$, depending on the dataset. However, this view is being completely altered by the early dark energy (EDE) resolutions of the Hubble tension, known as the most prominent tension the standard $Λ$CDM model is suffering from. In corresponding models with pre-recombination EDE, resolving the Hubble tension (i.e., achieving $H_0\sim 73$km/s/Mpc) must be accompanied by a shift of $n_s$ towards unity…

SK Hynix and ASML say they assembled the industry's first Twinscan NXE:5200B High-NA EUV lithography system at SK's M16 fab, initially to test next-gen tech (Anton Shilov/Tom's Hardware)
https://www.tomshard…

ASML and SK hynix assemble industry-first 'commercial' High-NA EUV system at fab in South Korea
Initially for R&D use, until later this decade where it will transition to production

Critical Reflections on Overcoming a Challenge for Bohmian Mechanics by H. Nikolic and the Experimental Findings of Sharoglazova et al
Miko{\l}aj Sienicki, Krzysztof Sienicki
https://arxiv.org/abs/2507.10989

Critical Reflections on Overcoming a Challenge for Bohmian Mechanics by H. Nikolic and the Experimental Findings of Sharoglazova et al
This paper offers a brief reflection on H. Nikolic's response to the experimental findings of Sharoglazova et al., which challenge Bohmian mechanics. While Nikolic's revision satisfies the continuity equation, it reintroduces assumptions he seeks to avoid and overlooks key empirical and nonlocal aspects of the system. These issues underscore unresolved tensions in applying Bohmian mechanics to complex, interacting regimes.

Joule-Thomson expansion and heat engine efficiency of charged rotating black strings
Hamid R. Bakhtiarizadeh
https://arxiv.org/abs/2508.09712 https://arxiv…

Joule-Thomson expansion and heat engine efficiency of charged rotating black strings
We perform the first study of the throttling process and heat engine efficiency of asymptotically Anti-de Sitter charged and rotating black strings in the extended phase space. For the throttling process, we calculate the Joule-Thomson coefficient and inversion temperature. We also depict the inversion and isenthalpic curves in the temperature-pressure plane, thereby identifying the corresponding cooling and heating regions. For the black string heat engine, we obtain analytical expressions for…

Self-Supervised Stereo Matching with Multi-Baseline Contrastive Learning
Peng Xu, Zhiyu Xiang, Jingyun Fu, Tianyu Pu, Kai Wang, Chaojie Ji, Tingming Bai, Eryun Liu
https://arxiv.org/abs/2508.10838

Self-Supervised Stereo Matching with Multi-Baseline Contrastive Learning
Current self-supervised stereo matching relies on the photometric consistency assumption, which breaks down in occluded regions due to ill-posed correspondences. To address this issue, we propose BaCon-Stereo, a simple yet effective contrastive learning framework for self-supervised stereo network training in both non-occluded and occluded regions. We adopt a teacher-student paradigm with multi-baseline inputs, in which the stereo pairs fed into the teacher and student share the same reference …

LLM-Driven Dual-Level Multi-Interest Modeling for Recommendation
Ziyan Wang, Yingpeng Du, Zhu Sun, Jieyi Bi, Haoyan Chua, Tianjun Wei, Jie Zhang
https://arxiv.org/abs/2507.10917

LLM-Driven Dual-Level Multi-Interest Modeling for Recommendation
Recently, much effort has been devoted to modeling users' multi-interests based on their behaviors or auxiliary signals. However, existing methods often rely on heuristic assumptions, e.g., co-occurring items indicate the same interest of users, failing to capture user multi-interests aligning with real-world scenarios. While large language models (LLMs) show significant potential for multi-interest analysis due to their extensive knowledge and powerful reasoning capabilities, two key challenge…