Tootfinder

Every few years I go and dig out a 65-line C program that I wrote as a grad student and try to gently poke it through a compiler but I finally got tired of that and replaced it with a 10-line awk script.
Wow, take a look at this jalopy! Written ca. 1977 (with ed(1), the standard editor) on a PDP-11/45 running V7, prob'ly on an ADM-3A "glass terminal" in the terminal room on the second floor of the E-Quad.

Dynamic Mixture of Progressive Parameter-Efficient Expert Library for Lifelong Robot Learning
Yuheng Lei, Sitong Mao, Shunbo Zhou, Hongyuan Zhang, Xuelong Li, Ping Luo
https://arxiv.org/abs/2506.05985

Dynamic Mixture of Progressive Parameter-Efficient Expert Library for Lifelong Robot Learning
A generalist agent must continuously learn and adapt throughout its lifetime, achieving efficient forward transfer while minimizing catastrophic forgetting. Previous work within the dominant pretrain-then-finetune paradigm has explored parameter-efficient fine-tuning for single-task adaptation, effectively steering a frozen pretrained model with a small number of parameters. However, in the context of lifelong learning, these methods rely on the impractical assumption of a test-time task identi…

Permutation-Free High-Order Interaction Tests
Zhaolu Liu, Robert L. Peach, Mauricio Barahona
https://arxiv.org/abs/2506.05963 https://

Permutation-Free High-Order Interaction Tests
Kernel-based hypothesis tests offer a flexible, non-parametric tool to detect high-order interactions in multivariate data, beyond pairwise relationships. Yet the scalability of such tests is limited by the computationally demanding permutation schemes used to generate null approximations. Here we introduce a family of permutation-free high-order tests for joint independence and partial factorisations of $d$ variables. Our tests eliminate the need for permutation-based approximations by leverag…

This was foreseeable. Want to go on vacation on the state's dime? Pull your kids out of school and get vouchers.
Reminds me of the time I saw my sister-in-law tell her first grader to read a book for a treat. That was her idea of teaching her kid how to read. Both she and my brother benefited from special education throughout their schooling. The state was fine with them homeschooling. I believe they were eventually convinced by her parents to send the kids back to school. My pare…

Permutations with a fixed number of 321 patterns
Michael Waite
https://arxiv.org/abs/2506.05712 https://arxiv.org/pdf/2506.05712

Permutations with a fixed number of 321 patterns
We bound the number of permutations with a fixed number $r$ of $321$ patterns by a constant times the number of permutations which avoid $321$. We use this to show that the ordinary generating function for permutations with $r$ copies of $321$ patterns is not rational.

Impact of model parameter degeneracy on leptonic radiation models. The case of blazar multi-wavelength spectra
F. Apel, A. Omeliukh, A. Franckowiak, J. Lederer
https://arxiv.org/abs/2506.06080

Impact of model parameter degeneracy on leptonic radiation models. The case of blazar multi-wavelength spectra
Leptonic one-zone radiation models are commonly used to describe multi-wavelength data and explore the physical properties of high-energy sources, such as active galactic nuclei. However, these models often require a large number of free parameters. In the context of possible parameter degeneracy and the complex landscape of the parameter space, we study how the choice of the fitting procedure impacts the characterization of the source properties. Furthermore, we examine how the data coverage a…

Langlands parameters for reductive groups over finite fields
Naoki Imai, David A. Vogan Jr
https://arxiv.org/abs/2506.06961 https://a…

Langlands parameters for reductive groups over finite fields
We define Langlands parameters for connected reductive groups over finite fields and formulate the Langlands correspondence for finite fields using these parameters.

On Inverse Problems, Parameter Estimation, and Domain Generalization
Deborah Pereg
https://arxiv.org/abs/2506.06024 https://arxiv.org…

On Inverse Problems, Parameter Estimation, and Domain Generalization
Signal restoration and inverse problems are key elements in most real-world data science applications. In the past decades, with the emergence of machine learning methods, inversion of measurements has become a popular step in almost all physical applications, which is normally executed prior to downstream tasks that often involve parameter estimation. In this work, we analyze the general problem of parameter estimation in an inverse problem setting. First, we address the domain-shift problem b…

Proof of a conjecture by Starr and log-concavity for random commuting permutations
Abdelmalek Abdesselam
https://arxiv.org/abs/2506.06894 https://

Proof of a conjecture by Starr and log-concavity for random commuting permutations
We prove a conjecture by Shannon Starr regarding the asymptotics for the number of tuples of commuting permutations with given number of joint orbits. These numbers generalize unsigned Stirling numbers of the first kind which count how many single permutations have a given number of cycles. In the case of pairs of permutations, these numbers are related to D'Arcais polynomials and the Nekrasov-Okounkov formula. As a consequence of the above asymptotics, we confirm a log-concavity conjecture in …

Exploration of features in the black hole mass spectrum inspired by non-parametric analyses of gravitational wave observations
Stefano Rinaldi, Yajie Liang, Gabriele Demasi, Michela Mapelli, Walter Del Pozzo
https://arxiv.org/abs/2506.05929

Exploration of features in the black hole mass spectrum inspired by non-parametric analyses of gravitational wave observations
Current gravitational-wave data reveal structures in the mass function of binary compact objects. Properly modelling and deciphering such structures is the ultimate goal of gravitational-wave population analysis: in this context, non-parametric models are a powerful tool to infer the distribution of black holes from gravitational waves without committing to any specific functional form. Here, we aim to quantitatively corroborate the findings of non-parametric methods with parametrised models in…