Tootfinder

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo
Daniel Lacker, Fuzhong Zhou
https://arxiv.org/abs/2509.08619 https://

A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo
The unadjusted Langevin algorithm is widely used for sampling from complex high-dimensional distributions. It is well known to be biased, with the bias typically scaling linearly with the dimension when measured in squared Wasserstein distance. However, the recent paper of Chen et al. (2024) identifies an intriguing new delocalization effect: For a class of distributions with sparse interactions, the bias between low-dimensional marginals scales only with the lower dimension, not the full dimen…

The impact of applying black hole-host galaxy scaling relations to large galaxy populations
Maggie C. Huber (University of Colorado Boulder), Joseph Simon (University of Colorado Boulder), Julia M. Comerford (University of Colorado Boulder)
https://arxiv.org/abs/2506.08102

The impact of applying black hole-host galaxy scaling relations to large galaxy populations
Supermassive black holes (SMBHs) with dynamically measured masses have shown empirical correlations with host galaxy properties. These correlations are often the only method available to estimate SMBH masses and gather statistics for large galaxy populations across a range of redshifts, even though the scaling relations themselves are derived from a small subset of nearby galaxies. Depending on the scaling relation used, estimated SMBH masses can vary significantly. The most widely used scaling…

It's Hakeem Jeffries. I cannot overstate the urgency of this situation.
Here’s the deal:
– Democrats are targeting 35 seats in Republican-held districts.
– We only need to win THREE to reclaim the House majority.
– Republicans have already raised $36 MILLION to crush our chances.
Now, MAGA extremists are going after ActBlue to disrupt our fundraising and seal our fate.
We cannot let them silence us.
Will you help me turn his attempt to silence us…

CHIP IN BEFORE MIDNIGHT >>
Help Hakeem defeat MAGA extremism and FLIP the House blue

The Majority is not always right: RL training for solution aggregation
Wenting Zhao, Pranjal Aggarwal, Swarnadeep Saha, Asli Celikyilmaz, Jason Weston, Ilia Kulikov
https://arxiv.org/abs/2509.06870

The Majority is not always right: RL training for solution aggregation
Scaling up test-time compute, by generating multiple independent solutions and selecting or aggregating among them, has become a central paradigm for improving large language models (LLMs) on challenging reasoning tasks. While most prior work relies on simple majority voting or reward model ranking to aggregate solutions, these approaches may only yield limited benefits. In this work, we propose to learn aggregation as an explicit reasoning skill: given a set of candidate solutions, we train an…

Surpassing the wave-particle duality relation via feed-forward of phase information
Elisabeth Meusert, Uwe Schilling, Marc-Oliver Pleinert, Joachim von Zanthier
https://arxiv.org/abs/2509.04989

Surpassing the wave-particle duality relation via feed-forward of phase information
Complementarity constitutes a central aspect of quantum theory. It manifests itself, for example, in a two-way interferometer, where the simultaneous observation of an interference pattern and the acquisition of which-way information are limited by an inequality known as the duality relation. Here, we investigate which-way information in a double-slit interferometer and show that it can be correlated to the phase of the quantum object at the detection screen, leading to a phase-dependent which-…

'[T]the standard it proposes has no fixed boundaries. No definition of danger. No threshold for entry. No requirement that the belief be verified, or even verifiable. If the court adopts it, ICE will will be one of the many law enforcement agencies not needing a warrant. It will only need a justification. A welfare call. A safety tip. A closed door. A silence misread or claimed as threat.'
The Supreme Court might turbocharge ICE more than Trump’s big bill.
https://slate.com/news-and-politics/2025/07/supreme-court-ice-trump-big-bill-deportations.html

The importance of the dynamical corotation torque for the migration of low-mass planets -- 1D analytical prescriptions verified by 2D hydrodynamical simulations
Jesse Weder, Cl\'ement Baruteau, Christoph Mordasini
https://arxiv.org/abs/2507.02050

The importance of the dynamical corotation torque for the migration of low-mass planets -- 1D analytical prescriptions verified by 2D hydrodynamical simulations
Recent developments suggested that planet formation occurs in regions of the discs with low turbulent viscosity. There, the dynamical corotation torque is thought to play an important role by slowing down type I migration. We aim to provide a simple analytical prescription for the dynamical corotation torque for use in 1D global models of planet formation and evolution, and assess the importance of the dynamical corotation torque for the migration of low-mass planets in low-viscosity discs. We …

On the chromatic number of random triangle-free graphs
Clayton Mizgerd, Will Perkins, Yuzhou Wang
https://arxiv.org/abs/2509.01376 https://arxiv.org/pdf/25…

On the chromatic number of random triangle-free graphs
We study the chromatic number of typical triangle-free graphs with $Θ\left( n^{3/2} (\log n)^{1/2} \right)$ edges and establish the width of the scaling window for the transitions from $χ= 3$ to $χ= 4$ and from $χ= 4$ to $χ= 5$. The transition from $3$- to $4$-colorability has scaling window of width $Θ(n^{4/3} (\log n)^{-1/3})$. To prove this, we show a high probability equivalence of the $3$-colorability of a random triangle-free graph at this density and the satisfiability of an inst…

A Note on The Rationale Behind Using Parental Longevity as a Proxy in Mendelian Randomization Studies
Zach Shahn, Rehana Rasul, C. Mary Schooling
https://arxiv.org/abs/2508.03431

A Note on The Rationale Behind Using Parental Longevity as a Proxy in Mendelian Randomization Studies
In many cohorts (such as the UK Biobank) on which Mendelian Randomization studies are routinely performed, data on participants' longevity is inadequate as the majority of participants are still living. To nevertheless estimate effects on longevity, it is increasingly common for researchers to substitute participants' `parental attained age', i.e. parental lifespan or current age (which is routinely collected in UK Biobank), as a proxy outcome. The common approach to performing this clever tric…

Distributed Non-Uniform Scaling Control of Multi-Agent Formation via Matrix-Valued Constraints
Tao He, Gangshan Jing
https://arxiv.org/abs/2508.02289 https://

Distributed Non-Uniform Scaling Control of Multi-Agent Formation via Matrix-Valued Constraints
Distributed formation maneuver control refers to the problem of maneuvering a group of agents to change their formation shape by adjusting the motions of partial agents, where the controller of each agent only requires local information measured from its neighbors. Although this problem has been extensively investigated, existing approaches are mostly limited to uniform scaling transformations. This article proposes a new type of local matrix-valued constraints, via which non-uniform scaling co…