Tootfinder

This https://arxiv.org/abs/2412.19753 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Divisibility classes of ultrafilters and their patterns
A divisibility relation on ultrafilters on the set $\mathbb{N}$ of natural numbers is defined as follows: ${\cal F}\hspace{1mm}\widetilde{\mid}\hspace{1mm}{\cal G}$ if and only if every set in $\cal F$ upward closed for divisibility also belongs to $\cal G$. Previously we isolated basic classes: powers of prime ultrafilters, and described the pattern of an ultrafilter, measuring the quantity of members of each basic class dividing a given ultrafilter. In this paper we define a topology on the s…

Generalizing causal effects with noncompliance: Application to deep canvassing experiments
Zhongren Chen, Melody Huang
https://arxiv.org/abs/2506.00149 htt…

Generalizing causal effects with noncompliance: Application to deep canvassing experiments
Standard approaches in generalizability often focus on generalizing the intent-to-treat (ITT). However, in practice, a more policy-relevant quantity is the generalized impact of an intervention across compliers. While instrumental variable (IV) methods are commonly used to estimate the complier average causal effect (CACE) within samples, standard approaches cannot be applied to a target population with a different distribution from the study sample. This paper makes several key contributions. …

Randomized Dimensionality Reduction for Euclidean Maximization and Diversity Measures
Jie Gao, Rajesh Jayaram, Benedikt Kolbe, Shay Sapir, Chris Schwiegelshohn, Sandeep Silwal, Erik Waingarten
https://arxiv.org/abs/2506.00165

Randomized Dimensionality Reduction for Euclidean Maximization and Diversity Measures
Randomized dimensionality reduction is a widely-used algorithmic technique for speeding up large-scale Euclidean optimization problems. In this paper, we study dimension reduction for a variety of maximization problems, including max-matching, max-spanning tree, max TSP, as well as various measures for dataset diversity. For these problems, we show that the effect of dimension reduction is intimately tied to the \emph{doubling dimension} $λ_X$ of the underlying dataset $X$ -- a quantity measur…

This https://arxiv.org/abs/2406.02409 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Universal limiting behaviour of reaction-diffusion systems with conservation laws
Making sense of complex inhomogeneous systems composed of many interacting species is a grand challenge that pervades basically all natural sciences. Phase separation and pattern formation in reaction-diffusion systems have been largely studied as two separate paradigms. Here we show that in reaction-diffusion systems composed of many species, the presence of a conservation law constrains the evolution of the conserved quantity to be governed by a Cahn-Hilliard-like equation. This establishes a…

This https://arxiv.org/abs/2505.21909 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Causal Inference for Experiments with Latent Outcomes: Key Results and Their Implications for Design and Analysis
How should we analyze randomized experiments in which the main outcome is measured in multiple ways and each measure contains some degree of error? Since Costner (1971) and Bagozzi (1977), methodological discussions of experiments with latent outcomes have reviewed the modeling assumptions that are invoked when the quantity of interest is the average treatment effect (ATE) of a randomized intervention on a latent outcome that is measured with error. Many authors have proposed methods to estimat…

Branch lengths for geodesics in the directed landscape and mutation patterns in growing spatially structured populations
Shirshendu Ganguly, Jason Schweinsberg, Yubo Shuai
https://arxiv.org/abs/2506.01787

Branch lengths for geodesics in the directed landscape and mutation patterns in growing spatially structured populations
Consider a population that is expanding in two-dimensional space. Suppose we collect data from a sample of individuals taken at random either from the entire population, or from near the outer boundary of the population. A quantity of interest in population genetics is the site frequency spectrum, which is the number of mutations that appear on $k$ of the $n$ sampled individuals, for $k = 1, \dots, n-1$. As long as the mutation rate is constant, this number will be roughly proportional to the t…

Thermodynamic Signatures of Gaussian Entanglement Beyond Entropy
Beatriz Polo, Federico Centrone, Mir Alimuddin, Gerardo Adesso
https://arxiv.org/abs/2505.24596

Thermodynamic Signatures of Gaussian Entanglement Beyond Entropy
Continuous-variable quantum thermodynamics in the Gaussian regime provides a promising framework for investigating the energetic role of quantum correlations, particularly in optical systems. In this work, we introduce an entropy-free criterion for entanglement detection in bipartite Gaussian states, rooted in a distinct thermodynamic quantity: ergotropy -- the maximum extractable work via unitary operations. By defining the relative ergotropic gap, which quantifies the disparity between global…

A generating set of Reidemeister moves of oriented virtual knots
Danish Ali
https://arxiv.org/abs/2505.24094 https://arxiv.org/pdf/25…

A generating set of Reidemeister moves of oriented virtual knots
In oriented knot theory, verifying a quantity is an invariant involves checking its invariance under all oriented Reidemeister moves, a process that can be intricate and time-consuming. A generating set of oriented moves simplifies this by requiring verification for only a minimal subset from which all other moves can be derived. While generating sets for classical oriented Reidemeister moves are well-established, their virtual counterparts are less explored. In this study, we enumerate the ori…

"The first medium for humor was plain text, as was the first age of the Internet. There are Usenet groups entirely dedicated to jokes, such as rec.humor.funny or alt.humor.best-of-usenet. It was through those pre-web media that some classics were published first, like the epic Bastard Operator From Hell (BOFH) series, or the DEC WARS! storyline, a parody of Star Wars adapted to the world of UNIX and VMS minicomputers."

Fluid Simulation on Vortex Particle Flow Maps
Sinan Wang, Junwei Zhou, Fan Feng, Zhiqi Li, Yuchen Sun, Duowen Chen, Greg Turk, Bo Zhu
https://arxiv.org/abs/2505.21946

Fluid Simulation on Vortex Particle Flow Maps
We propose the Vortex Particle Flow Map (VPFM) method to simulate incompressible flow with complex vortical evolution in the presence of dynamic solid boundaries. The core insight of our approach is that vorticity is an ideal quantity for evolution on particle flow maps, enabling significantly longer flow map distances compared to other fluid quantities like velocity or impulse. To achieve this goal, we developed a hybrid Eulerian-Lagrangian representation that evolves vorticity and flow map qu…

Vanishing, Unbounded and Angular Shifts on the Quotient of the Difference and the Derivative of a Meromorphic Function
Lasse Asikainen, Yu Chen, Risto Korhonen
https://arxiv.org/abs/2505.21150

Vanishing, Unbounded and Angular Shifts on the Quotient of the Difference and the Derivative of a Meromorphic Function
We show that for a vanishing period difference operator of a meromorphic function \( f \), there exist the following estimates regarding proximity functions, \[ \lim_{η\to 0} m_η\left(r, \frac{Δ_ηf - aη}{f' - a} \right) = 0 \] and \[ \lim_{r \to \infty} m_η\left(r, \frac{Δ_ηf - aη}{f' - a} \right) = 0, \] where \( Δ_ηf = f(z + η) - f(z) \), and \( |η| \) is less than an arbitrarily small quantity \( α(r) \) in the second limit. Then, under certain assumptions on the grow…

This https://arxiv.org/abs/2406.03674 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDS_…

Learning Safe Strategies for Value Maximizing Buyers in Uniform Price Auctions
We study the bidding problem in repeated uniform price multi-unit auctions from the perspective of a single value-maximizing buyer who aims to maximize their cumulative value over $T$ rounds while adhering to return-on-investment (RoI) constraints in each round. Buyers adopt $m$-uniform bidding format, where they submit $m$ bid-quantity pairs $(b_i, q_i)$ to demand $q_i$ units at bid $b_i$. We introduce safe bidding strategies as those that satisfy RoI constraints in every auction, regardless o…

Causal Inference for Experiments with Latent Outcomes: Key Results and Their Implications for Design and Analysis
Jiawei Fu, Donald P. Green
https://arxiv.org/abs/2505.21909

Causal Inference for Experiments with Latent Outcomes: Key Results and Their Implications for Design and Analysis
How should we analyze randomized experiments in which the main outcome is measured in multiple ways and each measure contains some degree of error? Since Costner (1971) and Bagozzi (1977), methodological discussions of experiments with latent outcomes have reviewed the modeling assumptions that are invoked when the quantity of interest is the average treatment effect (ATE) of a randomized intervention on a latent outcome that is measured with error. Many authors have proposed methods to estimat…

Been some time since I last posted #food pictures, let's go through the archives: moo satay (going through a Thai cookbook to finish a big quantity of red curry paste)