Tootfinder

The summatory function of the M\"obius function involving the greatest common divisor
Isao Kiuchi, Sumaia Saad Eddin
https://arxiv.org/abs/2403.02792 …

The summatory function of the Möbius function involving the greatest common divisor
Let $\gcd(m,n)$ denote the greatest common divisor of the positive integers $m$ and $n$, and let $μ$ represent the M\" obius function. For any real number $x>5$, we define the summatory function of the M\" obius function involving the greatest common divisor as $ S_μ(x) := \sum_{mn\leq x} μ(\gcd(m,n)). $ In this paper, we present an asymptotic formula for $S_μ(x)$. Assuming the Riemann Hypothesis, we delve further into the asymptotic behavior of $S_μ(x)$ and derive a mean square estimate f…

A Shifted Parking Function Symmetric Function
Richard P. Stanley
https://arxiv.org/abs/2405.02164 https://arxiv.org/pdf/2405.02164

A Shifted Parking Function Symmetric Function
We define a "shifted analogue" $\mathrm{SH}_n$ of the parking function symmetric function $\mathrm{PF}_n$. The expansion of $\mathrm{SH}_n$ in terms of three bases for shifted symmetric functions is explicitly described. We don't know a shifted analogue for parking functions themselves, but some desirable properties of such an analogue are discussed.

Quark Counting, Drell-Yan West, and the Pion Wave Function
Mary Alberg, Gerald A. Miller
https://arxiv.org/abs/2403.03356 https://arx…

Quark Counting, Drell-Yan West, and the Pion Wave Function
The relation between the pion's quark distribution function, $q(x)$, its light-front wave function, and the elastic charge form factor, $F(Δ^2)$ is explored. The square of the leading-twist pion wave function at a special probe scale, $ζ_H$, is determined using models and Poincare covariance from realistic results for $q(x)$. This wave function is then used to compute form factors with the result that the Drell-Yan-West and quark counting relationships are not satisfied. A new relationship be…

It’s not wrong. But it’s not right, either.
“Creating Fluid Typography with the CSS clamp() Function”
https://www.sitepoint.com/fluid-typography-css-clamp-function/#:~…

Creating Fluid Typography with the CSS clamp() Function — SitePoint
We dive into the intricacies of how to use the CSS clamp() function to scale the size of text across a range of device sizes.

I think I want to add a new binding to #Emacs eww: jump to next paragraph
*and* center it on the screen.
It's basically: `M-S-]` followed by `C-l`.
I'll look up the function name for these two bindings
and create an interactive function.
I don't know yet how to bind to a single mode.

Subordination Involving Gauss Hypergeometric Function
Anish Kumar, Sourav Das
https://arxiv.org/abs/2405.01869 https://arxiv.org/pdf/…

Subordination Involving Gauss Hypergeometric Function
The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been derived for being Janowski convexity and starlikeness. Furthermore, some sufficient conditions are also obtained so that Gauss hypergeometric function posses lemniscate starlikeness and convexity. Results established in this work are presumably new…

JWST PRIMER: A new multi-field determination of the evolving galaxy UV luminosity function at redshifts $\mathbf{z \simeq 9-15}$
C. T. Donnan, R. J. McLure, J. S. Dunlop, D. J. McLeod, D. Magee, K. Z. Arellano-C\'ordova, L. Barrufet, R. Begley, R. A. A. Bowler, A. C. Carnall, F. Cullen, R. S. Ellis, A. Fontana, G. D. Illingworth, N. A. Grogin, M. L. Hamadouche, A. M. Koekemoer, Feng-Yuan Liu, C. Mason, P. Santini, T. M. Stanton
https://arxiv.org/abs/2403.03171 https://arxiv.org/pdf/2403.03171
arXiv:2403.03171v1 Announce Type: new
Abstract: We present a new determination of the evolving galaxy UV luminosity function (LF) over the redshift range $8.5<15.5$ using a combination of several major Cycle-1 JWST imaging programmes - PRIMER, JADES and NGDEEP. This multi-field approach yields a total of $\simeq370$ sq. arcmin of JWST/NIRCam imaging, reaching (5-$\sigma$) depths of $\simeq30$ AB mag in the deepest regions. We select a sample of 2548 galaxies with a significant probability of lying at high redshift ($p(z>8.5)>0.05$) to undertake a statistical calculation of the evolving UV LF. Our new measurements span $\simeq4$ magnitudes in UV luminosity at $z=9-12.5$, placing new constraints on both the shape and evolution of the LF at early times. We fit our observational data-points with a double-power law (DPL) function and explore the evolution of the DPL parameters. Our UV LF measurements yield a new estimate of the early evolution of cosmic star-formation rate density ($\rho_{\rm{SFR}}$) which confirms the gradual, log-linear decline deduced from early JWST studies, at least out to $z \simeq 12$. Finally we show that the observed early evolution of the galaxy UV LF (and $\rho_{\rm{SFR}}$) can be reproduced in a ${\rm \Lambda}$CDM Universe, with no change in dust properties or star-formation efficiency required out to $z \simeq 12$. Instead, we show that a progressive trend towards younger stellar population ages can reproduce the observations, and we show that the typical ages required at $z \simeq$ 8, 9, 10, and 11 all converge on a time $\simeq 380-330$ Myr after the Big Bang, indicative of a rapid emergence of early galaxies at $z \simeq 12 - 13$. This is consistent with the first indications of a steeper drop-off in the galaxy population we find beyond $z \simeq 13$, possibly reflecting the rapid evolution of the halo mass function at earlier times.

This https://arxiv.org/abs/2312.05341 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Three-dimensional imaging of single atoms in an optical lattice via helical point-spread-function engineering
We demonstrate a method for determining the three-dimensional location of single atoms in a quantum gas microscopy system using a phase-only spatial light modulator to modify the point-spread function of the high-resolution imaging system. Here, the typical diffracted spot generated by a single atom as a point source is modified to a double spot that rotates as a function of the atom's distance from the focal plane of the imaging system. We present and numerically validate a simple model linkin…

This https://arxiv.org/abs/2303.11876 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLO_…

An implicit function theorem for the stream calculus
In the context of the stream calculus, we present an Implicit Function Theorem (IFT) for polynomial systems, and discuss its relations with the classical IFT from calculus. In particular, we demonstrate the advantages of the stream IFT from a computational point of view, and provide a few example applications where its use turns out to be valuable.

Compactness via Pattern Stepping Bisimulation
Matias Scharager
https://arxiv.org/abs/2405.01687 https://arxiv.org/pdf/2405.01687

Compactness via Pattern Stepping Bisimulation
The compactness lemma in programming language theory states that any recursive function can be simulated by a finite unrolling of the function. One important use case it has is in the logical relations proof technique for proving properties of typed programs, such as strong normalization. The relation between recursive functions and their finite counterparts is a special variant of the class of bisimulation relations. However, standard bisimulation proof approaches do not apply to the compactne…

This https://arxiv.org/abs/2209.04523 has been replaced.
link: https://scholar.google.com/scholar?q=a

The Small-Noise Limit of the Most Likely Element is the Most Likely Element in the Small-Noise Limit
In this paper, we study the Onsager-Machlup function and its relationship to the Freidlin-Wentzell function for measures equivalent to arbitrary infinite dimensional Gaussian measures. The Onsager-Machlup function can serve as a density on infinite dimensional spaces, where a uniform measure does not exist, and has been seen as the Lagrangian for the ``most likely element". The Freidlin-Wentzell rate function is the large deviations rate function for small-noise limits and has also been identif…

FaaF: Facts as a Function for the evaluation of RAG systems
Vasileios Katranidis, Gabor Barany
https://arxiv.org/abs/2403.03888 https://

FaaF: Facts as a Function for the evaluation of RAG systems
Factual recall from a reference source is crucial for evaluating the performance of Retrieval Augmented Generation (RAG) systems, as it directly probes into the quality of both retrieval and generation. However, it still remains a challenge to perform this evaluation reliably and efficiently. Recent work has focused on fact verification via prompting language model (LM) evaluators, however we demonstrate that these methods are unreliable in the presence of incomplete or inaccurate information. …

november17: November17 members (2009)
A network representing connections among members of the November 17 (N17) Greek terrorist group. Nodes are members, and an edge exists if two members have some connection in the past. Metadata include role, function, resources. Some attributes are missing.
This network has 22 nodes and 66 edges.
Tags: Social, Offline, Unweighted, Metadata

Dimension of homogeneous iterated function systems with algebraic translations
De-Jun Feng, Zhou Feng
https://arxiv.org/abs/2405.03124 https://

Dimension of homogeneous iterated function systems with algebraic translations
Let $ μ$ be the self-similar measure associated with a homogeneous iterated function system $ Φ= \{ λx + t_j \}_{j=1}^m $ on ${\Bbb R}$ and a probability vector $ (p_{j})_{j=1}^m$, where $0\neq λ\in (-1,1)$ and $t_j\in {\Bbb R}$. Recently by modifying the arguments of Varjú (2019), Rapaport and Varjú (2024) showed that if $t_1,\ldots, t_m$ are rational numbers and $0<λ<1$, then $$ \dim μ=\min\Big \{ 1, \; \frac{\sum_{j=1}^m p_{j}\log p_{j}}{ \log |λ| }\Big\}$$ unless $ Φ$ ha…

Why you should never use an LLM code generator, in one function:
https://www.reddit.com/r/PHP/comments/1b5osrq/github_copilot_casually_dropping_goto_code/
Bad code and copyright violation all in one!

Fast Approximate Determinants Using Rational Functions
Thomas Colthurst, Srinivas Vasudevan, James Lottes, Brian Patton
https://arxiv.org/abs/2405.03474 ht…

Fast Approximate Determinants Using Rational Functions
We show how rational function approximations to the logarithm, such as $\log z \approx (z^2 - 1)/(z^2 + 6z + 1)$, can be turned into fast algorithms for approximating the determinant of a very large matrix. We empirically demonstrate that when combined with a good preconditioner, the third order rational function approximation offers a very good trade-off between speed and accuracy when measured on matrices coming from Matérn-$5/2$ and radial basis function Gaussian process kernels. In particu…

Quark Counting, Drell-Yan West, and the Pion Wave Function
Mary Alberg, Gerald A. Miller
https://arxiv.org/abs/2403.03356 https://arx…

Quark Counting, Drell-Yan West, and the Pion Wave Function
The relation between the pion's quark distribution function, $q(x)$, its light-front wave function, and the elastic charge form factor, $F(Δ^2)$ is explored. The square of the leading-twist pion wave function at a special probe scale, $ζ_H$, is determined using models and Poincare covariance from realistic results for $q(x)$. This wave function is then used to compute form factors with the result that the Drell-Yan-West and quark counting relationships are not satisfied. A new relationship be…

Addressing the Influence of Unmeasured Confounding in Observational Studies with Time-to-Event Outcomes: A Semiparametric Sensitivity Analysis Approach
Linda Amoafo, Elizabeth Platz, Daniel Scharfstein
https://arxiv.org/abs/2403.02539

Addressing the Influence of Unmeasured Confounding in Observational Studies with Time-to-Event Outcomes: A Semiparametric Sensitivity Analysis Approach
In this paper, we develop a semiparametric sensitivity analysis approach designed to address unmeasured confounding in observational studies with time-to-event outcomes. We target estimation of the marginal distributions of potential outcomes under competing exposures using influence function-based techniques. We derived the non-parametric influence function for uncensored data and mapped the uncensored data influence function to the observed data influence function. Our methodology is motivate…

This https://arxiv.org/abs/2311.17210 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Ordinals and recursively defined functions on the reals
Given a function $f:\mathbb R\to\mathbb R$, call a decreasing sequence $x_1>x_2>x_3>\cdots$ $f$-bad if $f(x_1)>f(x_2)>f(x_3)>\cdots$, and call the function $f$ "ordinal decreasing" if there exist no infinite $f$-bad sequences. We prove the following result, which generalizes results of Erickson et al. (2022) and Bufetov et al. (2024): Given ordinal decreasing functions $f,g_1,\ldots,g_k,s$ that are everywhere larger than $0$, define the recursive algorithm "$M(x)$: if $x<0$ return $f(x)$, else …

This https://arxiv.org/abs/2312.08189 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSE_…

GuardRails: Automated Suggestions for Clarifying Ambiguous Purpose Statements
Before implementing a function, programmers are encouraged to write a purpose statement i.e., a short, natural-language explanation of what the function computes. A purpose statement may be ambiguous i.e., it may fail to specify the intended behaviour when two or more inequivalent computations are plausible on certain inputs. Our paper makes four contributions. First, we propose a novel heuristic that suggests such inputs using Large Language Models (LLMs). Using these suggestions, the programm…

This take on solar power is correct. And the same reasoning applies to batteries, which if anything are dropping in price even faster than PVs (it’s a less mature industry). https://caseyhandmer.wordpress.com/2023/10/11/radical-energy-abundance/

Radical Energy Abundance
Originally published at Roots of Progress, based on this thread. Everyone knows the industrial revolution occurred centuries ago and involved steam engines. That was just the warm up. We are now a …

i continue to find OpenAI ChatGPT to be very useful for helping me write the boilerplate things that i could write myself but that will just be like the other 17 times I've written the same function and take away my joy in getting to the end goal of the task i'm working on.
on that note, I now have a sqlite database with each of the 2.5M grants and disbursements made from charitable foundations and non-profits in 2023.

The 24 hour news cycle https://spacetimetech.wordpress.com/2024/03/06/the-24-hour-news-cycle

The 24 hour news cycle
You’re born where and when you’re born. And then you have to go out in the world and function somehow. You have to get up every day and do work of some kind. I used to be a news addict.…

Between 2.5 and 28% of people infected with SARS-CoV-2 suffer Long COVID or persistence of symptoms for months after acute illness.
Many symptoms are neurological, but the brain changes underlying the neuropsychological impairments remain unclear.
This study aimed to provide a detailed description of the cognitive profile, the pattern of brain alterations in Long COVID and the potential association between them.

Brain and cognitive changes in patients with long COVID compared with infection-recovered control subjects
Serrano del Pueblo et al. report that patients with long COVID have cognitive difficulties, especially in episodic memory and executive function, compared

Renal function changes in chronic hepatitis B patients
Jinhua Zhao, Lili Wu, Xiaoan Yang, Zhilaing Gao, Hong Deng
https://arxiv.org/abs/2403.02361 https://…

Renal function changes in chronic hepatitis B patients
The best way to treat chronic hepatitis B is with pegylated interferon alone or with oral antiviral drugs. There is limited research comparing the renal safety of entecavir and tenofovir when used with pegylated interferon. This study will compare changes in renal function in chronic hepatitis B patients treated with pegylated interferon and either entecavir or tenofovir. The study included a cohort of 836 patients with chronic hepatitis B (CHB) who received treatment with pegylated interferon …

Sharp Maximal function estimates for Multilinear pseudo-differential operators of type (0,0)
Bae Jun Park, Naohito Tomita
https://arxiv.org/abs/2405.02093 …

Sharp Maximal function estimates for Multilinear pseudo-differential operators of type (0,0)
In this paper, we study sharp maximal function estimates for multilinear pseudo-differential operators. Our target is operators of type (0, 0) for which a differentiation does not make any decay of the associated symbol. Analogous results for operators of type (ρ, ρ), 0 < ρ< 1, appeared in an earlier work of the authors, but a different approach is given for ρ= 0

I ❤️ where this is going (incl. quite a few incoming additions to #Abstract

Function collection for modular GPGPU / shader programming with @thi.ng/shader-ast

A cost function approximation method for dynamic vehicle routing with docking and LIFO constraints
Mark\'o Horv\'ath, Tam\'as Kis, P\'eter Gy\"orgyi
https://arxiv.org/abs/2405.01915

A cost function approximation method for dynamic vehicle routing with docking and LIFO constraints
In this paper, we study a dynamic pickup and delivery problem with docking constraints. There is a homogeneous fleet of vehicles to serve pickup-and-delivery requests at given locations. The vehicles can be loaded up to their capacity, while unloading has to follow the last-in-first-out (LIFO) rule. The locations have a limited number of docking ports for loading and unloading, which may force the vehicles to wait. The problem is dynamic since the transportation requests arrive real-time, over …

This https://arxiv.org/abs/2312.11784 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

The Basic Iterative Deconvolution: A fast instrumental point-spread function deconvolution method that corrects for light that is scattered out of the field of view of a detector
A point-spread function describes the optics of an imaging system and can be used to correct collected images for instrumental effects. The state of the art for deconvolving images with the point-spread function is the Richardson-Lucy algorithm; however, despite its high fidelity, it is slow and cannot account for light scattered out of the field of view of the detector. We reinstate the Basic Iterative Deconvolution (BID) algorithm, a deconvolution algorithm that considers photons scattered ou…

Coulomb Green's function and an addition formula for the Whittaker functions
Pavel \v{S}\v{t}ov\'i\v{c}ek
https://arxiv.org/abs/2403.03749 https://…

Coulomb Green's function and an addition formula for the Whittaker functions
A series of the form $\sum_{\ell=0}^{\infty}c(κ,\ell)\,M_{κ,\ell+1/2}(r_{0})W_{κ,\ell+1/2}(r)P_{\ell}(\cos(γ))$ is evaluated explicitly where $c(κ,\ell)$ are suitable complex coefficients, $M_{κ,μ}$ and $W_{κ,μ}$ are the Whittaker functions, $P_{\ell}$ are the Legendre polynomials, $r_{0}

This https://arxiv.org/abs/2402.01549 has been replaced.
link: https://scholar.google.com/scholar?q=a

Quantum advantage in zero-error function computation with side information
We consider the problem of zero-error function computation with side information. Alice has a source $X$ and Bob has correlated source $Y$ and they can communicate via either classical or a quantum channel. Bob wants to calculate $f(X,Y)$ with zero error. We aim to characterize the minimum amount of information that Alice needs to send to Bob for this to happen with zero-error. In the classical setting, this quantity depends on the asymptotic growth of $χ(G^{(m)})$, the chromatic number of an …

Series C, Episode 06 - City at the Edge of the World
TARRANT: That's good, because if it is Bayban down there, a war is what we'll have.
AVON: Orac, are you ready to maintain teleport function?
https://blake.torpidity.net/s/306/419 📺 B7B2

Digamma function and general Fischer series in the theory of Kempner sums
Jean-Fran\c{c}ois Burnol
https://arxiv.org/abs/2403.03912 https://

Digamma function and general Fischer series in the theory of Kempner sums
The infinite sum of reciprocals of the integers which are missing specified digits (from a given base) is computed with the help of the digamma function as a series involving the zeta values at integers and certain quantities which are rational in the base. This generalizes the work of Fischer (1993) who had handled the original "no $9$ in base $10$" case.

This https://arxiv.org/abs/2402.09330 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

3D-based RNA function prediction tools in rnaglib
Understanding the connection between complex structural features of RNA and biological function is a fundamental challenge in evolutionary studies and in RNA design. However, building datasets of RNA 3D structures and making appropriate modeling choices remains time-consuming and lacks standardization. In this chapter, we describe the use of rnaglib, to train supervised and unsupervised machine learning-based function prediction models on datasets of RNA 3D structures.

@… wrote:
「… All centralized, single vendor and single provider, SaaS-only - solutions are bad.」
You're quite correct.
Microsoft Teams enabled the organisation for which I work to function as effectively as possible — with minimal disruption to the tens of thousands of users involved — during and long after the critical period when the first C…

🐀 Scientists regenerate neural pathways in mice with cells from rats
#brain

Scientists regenerate neural pathways in mice with cells from rats
Two independent research teams have successfully regenerated mouse brain circuits in mice using neurons grown from rat stem cells. Both studies, published April 25 in the journal Cell, offer valuable insights into how brain tissue forms and present new opportunities for restoring lost brain function due to disease and aging.

Fast and robust method for screened Poisson lattice Green's function using asymptotic expansion and Fast Fourier Transform
Wei Hou, Tim Colonius
https://arxiv.org/abs/2403.03076

Fast and robust method for screened Poisson lattice Green's function using asymptotic expansion and Fast Fourier Transform
We study the lattice Green's function (LGF) of the screened Poisson equation on a two-dimensional rectangular lattice. This LGF arises in numerical analysis, random walks, solid-state physics, and other fields. Its defining characteristic is the screening term, which defines different regimes. When its coefficient is large, we can accurately approximate the LGF with an exponentially converging asymptotic expansion, and its convergence rate monotonically increases with the coefficient of the scr…

@…: Your Firefox addon, when not in its Private Mode and when only the 404 option is checked, the addon still communicates with your servers when I pop its UI opened and mouse over it (no clicking), even when not on a 404 page. Worse, it also triggers your servers to visit the same page I'm viewing (a fingerprinting risk).
Is there a way to suppress everything in the addon unless there's a 404 page or actually click a button that needs a network call to function?

BSPS || The Function of Biochemical Functions | Francesca Bellazzi
https://www.thebsps.org/short-reads/the-function-of-biochemical-functions-bellazzi/

This https://arxiv.org/abs/2312.09400 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCC_…

Refuting approaches to the log-rank conjecture for XOR functions
The log-rank conjecture, a longstanding problem in communication complexity, has persistently eluded resolution for decades. Consequently, some recent efforts have focused on potential approaches for establishing the conjecture in the special case of XOR functions, where the communication matrix is lifted from a boolean function, and the rank of the matrix equals the Fourier sparsity of the function, which is the number of its nonzero Fourier coefficients. In this note, we refute two conjectu…

Semialgebraic Calderon-Zygmund theorem on regularization of the distance function
Beata Kocel-Cynk, Wies{\l}aw Paw{\l}ucki, Anna Valette
https://arxiv.org/abs/2403.03135

Semialgebraic Calderon-Zygmund theorem on regularization of the distance function
We prove that, for any closed semialgebraic subset $W$ of $\mathbb{R}^n$ and for any positive integer $p$, there exists a Nash function $f:\mathbb{R}^n\setminus W\longrightarrow (0, \infty)$ which is equivalent to the distance function from $W$ and at the same time it is $Λ_p$-regular in the sense that $|D^αf(x)|\leq C d(x, W)^{1- |α|}$, for each $x\in \mathbb{R}^n\setminus W$ and each $α\in \mathbb{N}^n$ such that $1\leq |α|\leq p$, where $C$ is a positive co…

The lower bound of first Dirichlet eigenvalue of p-Laplacian in Riemannian manifolds
Xiaoshang Jin
https://arxiv.org/abs/2405.02669 https://

The lower bound of first Dirichlet eigenvalue of p-Laplacian in Riemannian manifolds
This paper investigates the first Dirichlet eigenvalue of bounded domains for the $p$-Laplacian in complete Riemannian manifolds. Firstly, we establish a lower bound for this eigenvalue under the condition that the domain includes a specific function which fulfills certain criteria related to divergence and gradient conditions. As an application, we show that $p(λ_{1,p})^{1/p}$ is an increasing function about $p.$ We further explore Barta's inequality and other relevant applications stemming f…

Gaussian Lagrangian Galaxy Bias
Jens St\"ucker, Marcos Pellejero-Ib\'a\~nez, Rodrigo Voivodic, Raul E. Angulo
https://arxiv.org/abs/2405.01951 htt…

Gaussian Lagrangian Galaxy Bias
Understanding $\textit{galaxy bias}$ -- that is the statistical relation between matter and galaxies -- is of key importance for extracting cosmological information from galaxy surveys. While the bias function $f$ is usually approximated through a parametric expansion, we show here, that it can also be measured directly from simulations in a non-parameteric way. Our measurements show that the Lagrangian bias function is very close to a Gaussian for halo selections of any mass. Therefore, we new…

This https://arxiv.org/abs/2211.11712 has been replaced.
link: https://scholar.google.com/scholar?q=a

Symplectic Morse Theory and Witten Deformation
On symplectic manifolds, we introduce a Morse-type complex with elements generated by pairs of critical points of a Morse function. The differential of the complex consists of gradient flows and an integration of the symplectic structure over spaces of gradient flow lines. Using the Witten deformation method, we prove that the cohomology of this complex is independent of both the Riemannian metric and the Morse function used to define the complex and is in fact isomorphic to the cohomology of d…

november17: November17 members (2009)
A network representing connections among members of the November 17 (N17) Greek terrorist group. Nodes are members, and an edge exists if two members have some connection in the past. Metadata include role, function, resources. Some attributes are missing.
This network has 22 nodes and 66 edges.
Tags: Social, Offline, Unweighted, Metadata

Preventing Reward Hacking with Occupancy Measure Regularization
Cassidy Laidlaw, Shivam Singhal, Anca Dragan
https://arxiv.org/abs/2403.03185 https://

Preventing Reward Hacking with Occupancy Measure Regularization
Reward hacking occurs when an agent performs very well with respect to a "proxy" reward function (which may be hand-specified or learned), but poorly with respect to the unknown true reward. Since ensuring good alignment between the proxy and true reward is extremely difficult, one approach to prevent reward hacking is optimizing the proxy conservatively. Prior work has particularly focused on enforcing the learned policy to behave similarly to a "safe" policy by penalizing the KL divergence be…

This https://arxiv.org/abs/2311.17558 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Critical loop models are exactly solvable
In two-dimensional critical loop models, including the $O(n)$ and Potts models, the spectrum is exactly known, as are a few structure constants or ratios thereof. Using numerical conformal bootstrap methods, we study $235$ of the simplest 4-point structure constants. For each structure constant, we find an analytic expression as a product of two factors: 1) a universal function of conformal dimensions, built from Barnes' double Gamma function, and 2) a polynomial function of loop weights, whose…

It’s pretty neat in #Rust that type usage in multiple locations can be inferred from the return type of a function. So while you could explicitly set the types, you don't have to.

pizza, Err(err) => { eprintln!("Error deserializing pizza: {}", err); exit(1); } } }).collect(…" target="_blank"> pizza, Err(err) => { eprintln!("Error deserializing pizza: {}", err); exit(1); } } }).collect(…" onerror="this.style.display='none'" class="media" >

Correlations of vorticity inside a coherent vortex
Igor V. Kolokolov, Vladimir V. Lebedev, Mariya M. Tumakova
https://arxiv.org/abs/2403.03591 https://

Correlations of vorticity inside a coherent vortex
We examine fluctuations of vorticity inside the coherent vortex, appearing as a consequence of the inverse energy cascade in two-dimensional turbulence. Temporal and spacial correlations can be characterized by the pair correlation function. The interaction between the fluctuations leads to non-zero value of the third moment of vorticity. We examine the pair correlation function and the third moment for the model where the pumping is short correlated in time. We find explicit expressions for th…

The Function Of Colour In Factories, Schools & Hospitals (1930) Via https://www.presentandcorrect.com/blogs/blog/the-function-of-colour-in-schools-hospitals-1930

The Function Of Colour In Factories, Schools & Hospitals.
Scanned by us. THE FUNCTION OF COLOUR IN FACTORIES ,SCHOOLS & HOSPITALS. JENSON & NICHOLSON LTD.1950.

Interesting review of diastolic function grading in critically ill patients, basically arguing for left atrial strain. Some comments follow : https://onlinelibrary.wiley.com/doi/10.1111/echo.15773

This https://arxiv.org/abs/2309.08849 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Learning a Stable Dynamic System with a Lyapunov Energy Function for Demonstratives Using Neural Networks
Autonomous Dynamic System (DS)-based algorithms hold a pivotal and foundational role in the field of Learning from Demonstration (LfD). Nevertheless, they confront the formidable challenge of striking a delicate balance between achieving precision in learning and ensuring the overall stability of the system. In response to this substantial challenge, this paper introduces a novel DS algorithm rooted in neural network technology. This algorithm not only possesses the capability to extract critic…

@… addGlobalData usage is a little confusing with computed data, in that `addGlobalData` expects a callback function and `eleventyComputed` expects a callback function too. So you nest two callbacks deep, example here:

The 24 hour news cycle https://spacetimetech.wordpress.com/2024/03/06/the-24-hour-news-cycle

The 24 hour news cycle
You’re born where and when you’re born. And then you have to go out in the world and function somehow. You have to get up every day and do work of some kind. I used to be a news addict.…

This https://arxiv.org/abs/2309.05424 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Cyclotomic function fields over finite fields with irreducible quadratic modulus
Let $\mathbb{F}_q$ be the finite field of order $q$ and $F=\mathbb{F}_q(x)$ the rational function field. In this paper, we give a characterization of the cyclotomic function fields $F(Λ_M)$ with modulus $M$, where $M \in \mathbb{F}_q[T]$ is a monic and irreducible polynomial of degree two. We also provide the full automorphism group of $F(Λ_M)$ in odd characteristic, extending results of \cite{MXY2016} where the automorphism group of $F(Λ_M)$ over $\mathbb{F}_q$ was computed.

This https://arxiv.org/abs/2204.05062 has been replaced.
link: https://scholar.google.com/scholar?q=a

On Locally Rationalizable Social Choice Functions
We consider a notion of rationalizability, where the rationalizing relation may depend on the set of feasible alternatives. More precisely, we say that a choice function is locally rationalizable if it is rationalized by a family of rationalizing relations such that a strict preference between two alternatives in some feasible set is preserved when removing other alternatives. Tyson (2008) has shown that a choice function is locally rationalizable if and only if it satisfies Sen's $γ$. We expa…

The first rule of #distributedsystems is "Don’t distribute your system". Designing distributed systems right is infamously hard for multiple reasons.
Imagine that the client sending a request sends a unique key along. The server keeps track of key-request pairs.
It’s precisely the idea behind the

I have a longtime habit of abruptly making a flurry of clicking/popping sounds with my mouth as a way of expressing feelings, fulfilling a similar function to swearing, for example.
However, now that I'm going to college I've been struggling with occasionally starting to do this and then catching myself once I register what's happening. I can't tell if other people aren't bringing it up just to be nice, or really if my feelings of embarrassment are rational. What…

This https://arxiv.org/abs/2312.13946 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Hybrid classical-quantum systems in terms of moments
We present a consistent formalism to describe the dynamics of hybrid systems with mixed classical and quantum degrees of freedom. The probability function of the system, which, in general, will be a combination of the classical distribution function and the quantum density matrix, is described in terms of its corresponding moments. We then define a hybrid Poisson bracket, such that the dynamics of the moments is ruled by an effective Hamiltonian. In particular, a closed formula for the Poisson …

This https://arxiv.org/abs/2109.01002 has been replaced.
link: https://scholar.google.com/scholar?q=a

DocTer: Documentation Guided Fuzzing for Testing Deep Learning API Functions
Input constraints are useful for many software development tasks. For example, input constraints of a function enable the generation of valid inputs, i.e., inputs that follow these constraints, to test the function deeper. API functions of deep learning (DL) libraries have DL specific input constraints, which are described informally in the free form API documentation. Existing constraint extraction techniques are ineffective for extracting DL specific input constraints. To fill this gap, we …

This https://arxiv.org/abs/2305.08833 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy
We derive the variational formula of the Loewner driving function of a simple chord under infinitesimal quasiconformal deformations with Beltrami coefficients supported away from the chord. As an application, we obtain the first variation of the Loewner energy of a Jordan curve, defined as the Dirichlet energy of the driving function of the curve. This result gives another explanation of the identity between the Loewner energy and the universal Liouville action introduced by Takhtajan and Teo, …

I ❤️ where this is going (incl. quite a few incoming additions to #Abstract

Function collection for modular GPGPU / shader programming with @thi.ng/shader-ast

Is Distance Correlation Robust?
Sarah Leyder, Jakob Raymaekers, Peter J. Rousseeuw
https://arxiv.org/abs/2403.03722 https://arxiv.org…

Is Distance Correlation Robust?
Distance correlation is a popular measure of dependence between random variables. It has some robustness properties, but not all. We prove that the influence function of the usual distance correlation is bounded, but that its breakdown value is zero. Moreover, it has an unbounded sensitivity function, converging to the bounded influence function for increasing sample size. To address this sensitivity to outliers we construct a more robust version of distance correlation, which is based on a new…

This https://arxiv.org/abs/2308.04339 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Spectral multiplicity functions of adjacency operators of graphs and cospectral infinite graphs
The adjacency operator of a graph has a spectrum and a class of scalar-valued spectral measures which have been systematically analyzed; it also has a spectral multiplicity function which has been less studied. The first purpose of this article is to review some examples of infinite graphs for which the spectral multiplicity function of the adjacency operator has been determined. The second purpose of this article is to show explicit examples of infinite connected graphs which are cospectral, i…

us_agencies: U.S. government agency websites (2018)
50 networks, one for each U.S. state, representing the web-based links between their associated government agencies websites. A node is an entire agency website and a directed edge (i,j) represents the existence of a hyperlink from any webpage in website i to some webpage in website j. Data was collected with a crawler. Nodes are annotated with the number of webpages per website, website name (related to its government function) and U…

Stability of the Ghurye-Olkin Characterization of Vector Gaussian Distributions
Mahdi Mahvari, Gerhard Kramer
https://arxiv.org/abs/2405.01707 https://

Stability of the Ghurye-Olkin Characterization of Vector Gaussian Distributions
The stability of the Ghurye-Olkin (GO) characterization of Gaussian vectors is analyzed using a partition of the vectors into equivalence classes defined by their matrix factors. The sum of the vectors in each class is near-Gaussian in the characteristic function (c.f.) domain if the GO independence condition is approximately met in the c.f. domain. All vectors have the property that any vector projection is near-Gaussian in the distribution function (d.f.) domain. The proofs of these c.f. and …

This https://arxiv.org/abs/2012.13709 has been replaced.
link: https://scholar.google.com/scholar?q=a

Generalization of Hamiltonian Mechanics to a Three Dimensional Phase Space
Classical Hamiltonian mechanics is realized by the action of a Poisson bracket on a Hamiltonian function. The Hamiltonian function is a constant of motion (the energy) of the system. The properties of the Poisson bracket are encapsulated in the symplectic 2-form, a closed second order differential form. Due to closure, the symplectic 2-form is preserved by the Hamiltonian flow, and it assigns an invariant (Liouville) measure on the phase space through the Lie-Darboux theorem. In this paper we p…

On gamma functions with respect to the alternating Hurwitz zeta functions
Wanyi Wang, Su Hu, Min-Soo Kim
https://arxiv.org/abs/2405.02854 https://

On gamma functions with respect to the alternating Hurwitz zeta functions
In 1730, Euler defined the Gamma function $Γ(x)$ by the integral representation. It possesses many interesting properties and has wide applications in various branches of mathematics and sciences. According to Lerch, the Gamma function $Γ(x)$ can also be defined by the derivative of the Hurwitz zeta function $$ζ(z,x)=\sum_{n=0}^{\infty}\frac{1}{(n+x)^{z}}$$ at $z=0$. Recently, Hu and Kim defined the corresponding Stieltjes constants $\widetildeγ_{k}(x)$ and Euler constant $\widetildeγ_{0}$…

EPOCHS IV: SED Modelling Assumptions and their impact on the Stellar Mass Function at 6.5 < z < 13.5 using PEARLS and public JWST observations
Thomas Harvey, Christopher Conselice, Nathan J. Adams, Duncan Austin, Ignas Juodzbalis, James Trussler, Qiong Li, Katherine Ormerod, Leonardo Ferreira, Qiao Duan, Lewi Westcott, Honor Harris, Rachana Bhatawdekar, Dan Coe, Seth H. Cohen, Joseph Caruana, Cheng Cheng, 9 Simon P. Driver, Brenda Frye, Lukas J. Furtak, Norman A. Grogin, Nimish P…

EPOCHS IV: SED Modelling Assumptions and their impact on the Stellar Mass Function at 6.5 < z < 13.5 using PEARLS and public JWST observations
We utilize deep JWST NIRCam observations for the first direct constraints on the Galaxy Stellar Mass Function (GSMF) at z>10. Our EPOCHS v1 sample includes 1120 galaxy candidates at 6.5

This https://arxiv.org/abs/2311.05624 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCC_…

NP-hard problems are not in BQP
Grover's algorithm can solve NP-complete problems on quantum computers faster than all the known algorithms on classical computers. However, Grover's algorithm still needs exponential time. Due to the BBBV theorem, Grover's algorithm is optimal for searches in the domain of a function, when the function is used as a black box. We analyze the NP-complete set \[\{ (\langle M \rangle, 1^n, 1^t ) \mid \text{ TM }M\text{ accepts an }x\in\{0,1\}^n\text{ within }t\text{ steps}\}.\] If $t$ is large e…

This https://arxiv.org/abs/2305.17519 has been replaced.
link: https://scholar.google.com/scholar?q=a

Closure Certificates
A barrier certificate, defined over the states of a dynamical system, is a real-valued function whose zero level set characterizes an inductively verifiable state invariant separating reachable states from unsafe ones. When combined with powerful decision procedures such as sum-of-squares programming (SOS) or satisfiability-modulo-theory solvers (SMT) barrier certificates enable an automated deductive verification approach to safety. The barrier certificate approach has been extended to refute …

This https://arxiv.org/abs/2311.17558 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Critical loop models are exactly solvable
In two-dimensional critical loop models, including the $O(n)$ and Potts models, the spectrum is exactly known, as are a few structure constants or ratios thereof. Using numerical conformal bootstrap methods, we study $235$ of the simplest 4-point structure constants. For each structure constant, we find an analytic expression as a product of two factors: 1) a universal function of conformal dimensions, built from Barnes' double Gamma function, and 2) a polynomial function of loop weights, whose…

Dynamic Gaussian Graph Operator: Learning parametric partial differential equations in arbitrary discrete mechanics problems
Chu Wang, Jinhong Wu, Yanzhi Wang, Zhijian Zha, Qi Zhou
https://arxiv.org/abs/2403.02810

Dynamic Gaussian Graph Operator: Learning parametric partial differential equations in arbitrary discrete mechanics problems
Deep learning methods have access to be employed for solving physical systems governed by parametric partial differential equations (PDEs) due to massive scientific data. It has been refined to operator learning that focuses on learning non-linear mapping between infinite-dimensional function spaces, offering interface from observations to solutions. However, state-of-the-art neural operators are limited to constant and uniform discretization, thereby leading to deficiency in generalization on …

Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems
Michele Bucelli, Francesco Regazzoni, Luca Dede', Alfio Quarteroni
https://arxiv.org/abs/2403.03665

Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems
Multiphysics simulations frequently require transferring solution fields between subproblems with non-matching spatial discretizations, typically using interpolation techniques. Standard methods are usually based on measuring the closeness between points by means of the Euclidean distance, which does not account for curvature, cuts, cavities or other non-trivial geometrical or topological features of the domain. This may lead to spurious oscillations in the interpolant in proximity to these fea…

This https://arxiv.org/abs/2402.18706 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The porous medium equation on noncompact manifolds with nonnegative Ricci curvature: a Green function approach
We consider the porous medium equation (PME) on complete noncompact manifolds $M$ of nonnegative Ricci curvature. We require nonparabolicity of the manifold and construct a natural space $X$ of functions, strictly larger than $L^1$, in which the Green function on $M$ appears as a weight, such that the PME admits a solution in the weak dual (i.e. potential) sense whenever the initial datum $u_0$ is nonnegative and belongs to $X$. Smoothing estimates are also proved to hold both for $L^1$ data, w…

The Function of Colour in Factories, Schools & Hospitals (1930) Via https://www.presentandcorrect.com/blogs/blog/the-function-of-colour-in-schools-hospitals-1930

The Function Of Colour In Factories, Schools & Hospitals.
Scanned by us. THE FUNCTION OF COLOUR IN FACTORIES ,SCHOOLS & HOSPITALS. JENSON & NICHOLSON LTD.1950.

This https://arxiv.org/abs/2106.12623 has been replaced.
link: https://scholar.google.com/scholar?q=a

Cubic color charge correlator in a proton made of three quarks and a gluon
The three point correlation function of color charge densities is evaluated explicitly in light cone gauge for a proton on the light cone. This includes both $C$-conjugation even and odd contributions. We account for perturbative corrections to the three-quark light cone wave function due to the emission of an internal gluon which is not required to be soft. We verify the Ward identity as well as the cancellation of UV divergences in the sum of all diagrams so that the correlator is independent…

Semi-analytical covariance matrices for two-point correlation function for DESI 2024 data
M. Rashkovetskyi, D. Forero-S\'anchez, A. de Mattia, D. J. Eisenstein, N. Padmanabhan, H. Seo, A. J. Ross, J. Aguilar, S. Ahlen, O. Alves, U. Andrade, D. Brooks, E. Burtin, T. Claybaugh, S. Cole, A. de la Macorra, Z. Ding, P. Doel, K. Fanning, S. Ferraro, A. Font-Ribera, J. E. Forero-Romero, C. Garcia-Quintero, H. Gil-Mar\'in, S. Gontcho A Gontcho, A. X. Gonzalez-Morales, G. Gutierrez, K. …

Semi-analytical covariance matrices for two-point correlation function for DESI 2024 data
We present an optimized way of producing the fast semi-analytical covariance matrices for the Legendre moments of the two-point correlation function, taking into account survey geometry and mimicking the non-Gaussian effects. We validate the approach on simulated (mock) catalogs for different galaxy types, representative of the Dark Energy Spectroscopic Instrument (DESI) Data Release 1, used in 2024 analyses. We find only a few percent differences between the mock sample covariance matrix and o…

X-SLAM: Scalable Dense SLAM for Task-aware Optimization using CSFD
Zhexi Peng, Yin Yang, Tianjia Shao, Chenfanfu Jiang, Kun Zhou
https://arxiv.org/abs/2405.02187

X-SLAM: Scalable Dense SLAM for Task-aware Optimization using CSFD
We present X-SLAM, a real-time dense differentiable SLAM system that leverages the complex-step finite difference (CSFD) method for efficient calculation of numerical derivatives, bypassing the need for a large-scale computational graph. The key to our approach is treating the SLAM process as a differentiable function, enabling the calculation of the derivatives of important SLAM parameters through Taylor series expansion within the complex domain. Our system allows for the real-time calculatio…

On the Monotonicity of Information Aging
MD Kamran Chowdhury Shisher, Yin Sun
https://arxiv.org/abs/2403.03380 https://arxiv.org/pdf/…

On the Monotonicity of Information Aging
In this paper, we analyze the monotonicity of information aging in a remote estimation system, where historical observations of a Gaussian autoregressive AR(p) process are used to predict its future values. We consider two widely used loss functions in estimation: (i) logarithmic loss function for maximum likelihood estimation and (ii) quadratic loss function for MMSE estimation. The estimation error of the AR(p) process is written as a generalized conditional entropy which has closed-form expr…

💔 How trauma gets 'under the skin': Research investigates impaired muscle function caused by childhood trauma
https://medicalxpress.com/news/2024-04-trauma-skin-impaired-muscle-function.html

How trauma gets 'under the skin': Research investigates impaired muscle function caused by childhood trauma
A University of Michigan study has shown that traumatic experiences during childhood may get "under the skin" later in life, impairing the muscle function of people as they age.

Equivalence between VMO functions and Zero Lelong numbers functions
S\'everine Biard, Jujie Wu
https://arxiv.org/abs/2403.03568 https://

Equivalence between VMO functions and Zero Lelong numbers functions
We prove that a plurisbharmonic function on a bounded domain $Ω$ in $\mathbb{C}^n$ is a VMO (Vanishing Mean Oscillation) function if and only if its Lelong number at each point of $Ω$ vanishes. This result contributes to a better understanding of the behavior of singular plurisubharmonic functions.

This https://arxiv.org/abs/2404.10616 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLO_…

One is all you need: Second-order Unification without First-order Variables
We consider the fragment of Second-Order unification, referred to as \emph{Second-Order Ground Unification (SOGU)}, with the following properties: (i) only one second-order variable allowed, (ii) first-order variables do not occur. We show that Hilbert's 10$^{th}$ problem is reducible to a \emph{necessary condition} for SOGU unifiability if the signature contains a binary function symbol and two constants, thus proving undecidability. This generalizes known undecidability results, as either fir…

This https://arxiv.org/abs/2311.04860 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An effective Linear Independence conjecture for the zeros of the Riemann zeta function and applications
Using the same heuristic argument leading to the Lang-Waldschmidt Conjecture in the theory of linear forms in logarithms, we formulate an effective version of the Linear Independence conjecture for the ordinates of the non-trivial zeros of the Riemann zeta function. Then assuming this conjecture, we obtain Omega results for the error term in the prime number theorem, which are conjectured to be best possible by Montgomery. This was claimed to appear in Monach's thesis by Montgomery and Vaughan …

This https://arxiv.org/abs/2309.15919 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Efficient Computation of the Quantum Rate-Distortion Function
The quantum rate-distortion function plays a fundamental role in quantum information theory, however there is currently no practical algorithm which can efficiently compute this function to high accuracy for moderate channel dimensions. In this paper, we show how symmetry reduction can significantly simplify common instances of the entanglement-assisted quantum rate-distortion problems. This allows us to better understand the properties of the quantum channels which obtain the optimal rate-dist…

Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems
Michele Bucelli, Francesco Regazzoni, Luca Dede', Alfio Quarteroni
https://arxiv.org/abs/2403.03665

Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems
Multiphysics simulations frequently require transferring solution fields between subproblems with non-matching spatial discretizations, typically using interpolation techniques. Standard methods are usually based on measuring the closeness between points by means of the Euclidean distance, which does not account for curvature, cuts, cavities or other non-trivial geometrical or topological features of the domain. This may lead to spurious oscillations in the interpolant in proximity to these fea…

This https://arxiv.org/abs/2312.10601 has been replaced.
link: https://scholar.google.com/scholar?q=a

Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory
We determine color-octet nonrelativistic QCD matrix elements for quarkonium decays from moments of the two-point correlation function of the QCD field-strength tensor computed in the refined Gribov-Zwanziger theory. We find that a tree-level calculation in the refined Gribov-Zwanziger theory can give a suitable description of the QCD field-strength correlation function at both short and long distances, which leads to moments that are infrared finite and can be properly renormalized. By using th…

Class-Level Code Generation from Natural Language Using Iterative, Tool-Enhanced Reasoning over Repository
Ajinkya Deshpande, Anmol Agarwal, Shashank Shet, Arun Iyer, Aditya Kanade, Ramakrishna Bairi, Suresh Parthasarathy
https://arxiv.org/abs/2405.01573

Class-Level Code Generation from Natural Language Using Iterative, Tool-Enhanced Reasoning over Repository
LLMs have demonstrated significant potential in code generation tasks, achieving promising results at the function or statement level in various benchmarks. However, the complexities associated with creating code artifacts like classes, particularly within the context of real-world software repositories, remain underexplored. Existing research often treats class-level generation as an isolated task, neglecting the intricate dependencies and interactions that characterize real-world software dev…

Semi-analytical covariance matrices for two-point correlation function for DESI 2024 data
M. Rashkovetskyi, D. Forero-S\'anchez, A. de Mattia, D. J. Eisenstein, N. Padmanabhan, H. Seo, A. J. Ross, J. Aguilar, S. Ahlen, O. Alves, U. Andrade, D. Brooks, E. Burtin, T. Claybaugh, S. Cole, A. de la Macorra, Z. Ding, P. Doel, K. Fanning, S. Ferraro, A. Font-Ribera, J. E. Forero-Romero, C. Garcia-Quintero, H. Gil-Mar\'in, S. Gontcho A Gontcho, A. X. Gonzalez-Morales, G. Gutierrez, K. …

Semi-analytical covariance matrices for two-point correlation function for DESI 2024 data
We present an optimized way of producing the fast semi-analytical covariance matrices for the Legendre moments of the two-point correlation function, taking into account survey geometry and mimicking the non-Gaussian effects. We validate the approach on simulated (mock) catalogs for different galaxy types, representative of the Dark Energy Spectroscopic Instrument (DESI) Data Release 1, used in 2024 analyses. We find only a few percent differences between the mock sample covariance matrix and o…

This https://arxiv.org/abs/2306.05599 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On optimal exponent pairs
We quantify the set of known exponent pairs $(k, \ell)$ and develop a framework to compute the optimal exponent pair for an arbitrary objective function. Applying this methodology, we make progress on several open problems, including bounds of the Riemann zeta-function $ζ(s)$ in the critical strip, estimates of the moments of $ζ(1/2 + it)$ and the generalised Dirichlet divisor problem.

This https://arxiv.org/abs/2304.13721 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

EPOCHS Paper II: The Ultraviolet Luminosity Function from $7.5
We present an analysis of the ultraviolet luminosity function (UV LF) and star formation rate density of distant galaxies ($7.5 < z < 13.5$) in the `blank' fields of the Prime Extragalactic Areas for Reionization Science (PEARLS) survey combined with Early Release Science (ERS) data from the CEERS, GLASS, NGDEEP surveys/fields and the first data release of JADES. We use strict quality cuts on EAZY photometric redshifts to obtain a reliable selection and characterisation of high-redshift ($z>6.5…