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Monotonicity and local uniqueness for an isotropic nonlocal elliptic equation
Yi-Hsuan Lin
https://arxiv.org/abs/2510.10408 https://arxiv.org/pdf/2510.1040…

Monotonicity and local uniqueness for an isotropic nonlocal elliptic equation
We extend monotonicity-based inversion methods to an inverse coefficient problem for the isotropic nonlocal elliptic equation \[ (-\nabla \cdot σ\nabla)^s u = 0 \quad \text{in } Ω\subset \mathbb{R}^n, \] where $0 < s < 1$, $n \geq 3$, and $Ω$ is a bounded open set. We establish a monotonicity relation between the leading coefficient $σ$ and the (partial) exterior Dirichlet-to-Neumann (DN) map. Our main result shows that a monotonicity ordering of the coefficients implies a correspon…

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Sister-in-law of Mitt Romney found dead in Valencia parking garage (Dennis Broad/NBC Los Angeles)
https://www.nbclosangeles.com/news/local/sister-in-law-mitt-romney-valencia-parking-garage/3790792/
http://www.memeorandum.com/251013/p129#a251013p129

Reinforced sequential Monte Carlo for amortised sampling
Sanghyeok Choi, Sarthak Mittal, V\'ictor Elvira, Jinkyoo Park, Nikolay Malkin
https://arxiv.org/abs/2510.11711 https…

Reinforced sequential Monte Carlo for amortised sampling
This paper proposes a synergy of amortised and particle-based methods for sampling from distributions defined by unnormalised density functions. We state a connection between sequential Monte Carlo (SMC) and neural sequential samplers trained by maximum-entropy reinforcement learning (MaxEnt RL), wherein learnt sampling policies and value functions define proposal kernels and twist functions. Exploiting this connection, we introduce an off-policy RL training procedure for the sampler that uses …

🇺🇦 #NowPlaying on KEXP's #SoundsOfSurvivance
Mahavishnu Orchestra:
🎵 Miles Beyond
#MahavishnuOrchestra
https://mahavishnujohnmclaughlin.bandcamp.com/track/miles-beyond-mahavishnu-orchestra
https://open.spotify.com/track/5I9gXWTR37SMqJsea5jhSM

On the Strength of Linear Relaxations in Ordered Optimization
V\'ictor Blanco, Diego Laborda, Miguel Mart\'inez-Ant\'on
https://arxiv.org/abs/2510.09166 https://

On the Strength of Linear Relaxations in Ordered Optimization
We study the conditions under which the convex relaxation of a mixed-integer linear programming formulation for ordered optimization problems, where sorting is part of the decision process, yields integral optimal solutions. Thereby solving the problem exactly in polynomial time. Our analysis identifies structural properties of the input data that influence the integrality of the relaxation. We show that incorporating ordered components introduces additional layers of combinatorial complexity t…

Isotropy and Geometry of Pretrained Protein LMs
Sheikh Azizul Hakim, Kowshic Roy, M Saifur Rahman
https://arxiv.org/abs/2510.10655 https://arxiv.org/pdf/25…

Isotropy and Geometry of Pretrained Protein LMs
Large pretrained language models have transformed natural language processing, and their adaptation to protein sequences -- viewed as strings of amino acid characters -- has advanced protein analysis. However, the distinct properties of proteins, such as variable sequence lengths and lack of word-sentence analogs, necessitate a deeper understanding of protein language models (LMs). We investigate the isotropy of protein LM embedding spaces using average pairwise cosine similarity and the IsoSco…

A Historic Crypto Selloff Erased Over $19 Billion, but Two Accounts Made $160 Million (Wall Street Journal)
https://www.wsj.com/finance/currencies/a-historic-crypto-selloff-erased-over-19-billion-but-two-accounts-made-160-million-3144cccd?st=YDybnE&reflink=article_copyURL_share
http://www.memeorandum.com/251013/p120#a251013p120

🇺🇦 #NowPlaying on BBCRadio3's #EssentialClassics
Arthur Sullivan, W. S. Gilbert, Thomas Round, New Symphony Orchestra of London & Isidore Godfrey:
🎵 Take a pair of sparkling eyes (The Gondoliers)
#ArthurSullivan
https://open.spotify.com/track/2bVMyZzpFsRRp3anrL7aS7
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