Tootfinder

This https://arxiv.org/abs/2212.11859 has been replaced.
link: https://scholar.google.com/scholar?q=a

Librationist cum classical set theories
A librationist set theory £${}$ is developed. It descends from semantics for truth, initiated by by Kripke, Herzberger, Gupta and others. # extends the system £, of Librationist closures of the paradoxes in Logic and Logical Philosophy 21(4), 323-361, 2012. The focus is upon the paradoxes in theories of sets. A central result is that the extension #$\mathscr{HR}(\mathbf{D})$, of #, accounts for $\mathbf{NBG}$ set theory, with the global Axiom of Choice and Tarski's Axiom. Moreover, # also suc…

This https://arxiv.org/abs/2310.16773 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Notes on limits of accessible categories
Let $κ$ be a regular cardinal, $λ<κ$ be a smaller infinite cardinal, and $\mathsf K$ be a $κ$-accessible category where colimits of $λ$-indexed chains exist. We show that various category-theoretic constructions applied to $\mathsf K$, such as the inserter and the equifier, produce $κ$-accessible categories $\mathsf E$ again, and the most obvious expected description of the full subcategory of $κ$-presentable objects in $\mathsf E$ in terms of $κ$-presentable objects in $\mathsf K$ hold…

This https://arxiv.org/abs/2402.03426 has been replaced.
link: https://scholar.google.com/scholar?q=a

Primordial Black Holes from Axion Domain Wall Collapse
The QCD axion can solve the Strong CP Problem and be the dark matter of our universe. If the PQ symmetry breaking scale associated with the axion is below the inflationary reheating temperature, axion strings and domain walls populate the universe. Most of these strings and walls decay away into axion dark matter, but a small subset of the walls will be self-enclosed surfaces that are not attached to any strings. These enclosed walls can collapse in on themselves, compressing a large amount of …

This https://arxiv.org/abs/2302.13356 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Performance is not enough: the story told by a Rashomon quartet
The usual goal of supervised learning is to find the best model, the one that optimizes a particular performance measure. However, what if the explanation provided by this model is completely different from another model and different again from another model despite all having similarly good fit statistics? Is it possible that the equally effective models put the spotlight on different relationships in the data? Inspired by Anscombe's quartet, this paper introduces a Rashomon Quartet, i.e. a s…

This https://arxiv.org/abs/2404.05426 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCV_…

Test-Time Zero-Shot Temporal Action Localization
Zero-Shot Temporal Action Localization (ZS-TAL) seeks to identify and locate actions in untrimmed videos unseen during training. Existing ZS-TAL methods involve fine-tuning a model on a large amount of annotated training data. While effective, training-based ZS-TAL approaches assume the availability of labeled data for supervised learning, which can be impractical in some applications. Furthermore, the training process naturally induces a domain bias into the learned model, which may adversely …

This https://arxiv.org/abs/2404.00718 has been replaced.
link: https://scholar.google.com/scholar?q=a

A local Generalized second law in crossed product constructions
In this paper, we show a local generalized second law (the generalized entropy is nondecreasing) in crossed product constructions for maximally extended static and Kerr black holes using modular theory. The new ingredient is the use of results from a recent paper discussing the entropy of the algebra of operators in subregions of arbitrary spacetimes. These results rely on an assumption which we show is true in our setting. However, we do assume as in that paper, that the gravitational constrai…

This https://arxiv.org/abs/2404.06882 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

A Multi-wavelength Study on A Gamma-ray Bright AGN 1308+326 Using KVN at 22 and 43 GHz
In this paper, we conduct a multi-frequency analysis of the gamma-ray bright blazar 1308+326 from February 2013 to March 2020, using the Korean VLBI Network at 22 and 43 GHz and gamma-ray data from the Fermi Large Area Telescope (LAT). Our findings reveal spectral variations around the 2014 gamma-ray flare, aligning with the shock-in-jet model. A strong correlation is observed between gamma-ray and 43 GHz emissions, with a 27-day lag in the VLBI core light curve, indicating a 50-day delay from …

This https://arxiv.org/abs/2402.00389 has been replaced.
link: https://scholar.google.com/scholar?q=a

On the $O(\frac{\sqrt{d}}{T^{1/4}})$ Convergence Rate of RMSProp and Its Momentum Extension Measured by $\ell_1$ Norm
Although adaptive gradient methods have been extensively used in deep learning, their convergence rates proved in the literature are all slower than that of SGD, particularly with respect to their dependence on the dimension. This paper considers the classical RMSProp and its momentum extension and establishes the convergence rate of $\frac{1}{T}\sum_{k=1}^T E\left[\|\nabla f(x^k)\|_1\right]\leq O(\frac{\sqrt{d}C}{T^{1/4}})$ measured by $\ell_1$ norm without the bounded gradient assum…

This https://arxiv.org/abs/2311.10171 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Tight contact structures on some families of small Seifert fiber spaces
Suppose $K$ is a knot in a 3-manifold $Y$, and that $Y$ admits a pair of distinct contact structures. Assume that $K$ has Legendrian representatives in each of these contact structures, such that the corresponding Thurston-Bennequin framings are equivalent. This paper provides a method to prove that the contact structures resulting from Legendrian surgery along these two representatives remain distinct. Applying this method to the situation where the starting manifold is $-Σ(2,3,6m+1)$ and the…

This https://arxiv.org/abs/2312.00783 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

XMM-Newton --NuSTAR monitoring campaign of the Seyfert 1 galaxy IC 4329A
We present the results of a joint {\it XMM-Newton} and {\it NuSTAR} campaign on the active galactic nucleus (AGN) IC 4329A, consisting of 9 $\times$ 20 ks {\it XMM-Newton} observations, and 5 $\times$ 20 ks {\it NuSTAR} observations within nine days, performed in August 2021. Within each observation, the AGN is not very variable, with the fractional variability never exceeding 5%. Flux variations are observed between the different observations, on timescales of days, with a 30% ratio between th…