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from my link log —
Faster remainder by multiplication, with applications to compilers and software libraries.
https://arxiv.org/abs/1902.01961
saved 2021-05-23

Faster Remainder by Direct Computation: Applications to Compilers and Software Libraries
On common processors, integer multiplication is many times faster than integer division. Dividing a numerator n by a divisor d is mathematically equivalent to multiplication by the inverse of the divisor (n / d = n x 1/d). If the divisor is known in advance---or if repeated integer divisions will be performed with the same divisor---it can be beneficial to substitute a less costly multiplication for an expensive division. Currently, the remainder of the division by a constant is computed from…

Numbers with Four Close Factorizations
Tsz Ho Chan, Laura Holmes, Michael Liu, Jose Villarreal
https://arxiv.org/abs/2508.02818 https://arxiv.org/pdf/2508.…

Numbers with Four Close Factorizations
In this paper, we study numbers $n$ that can be factored in four different ways as $n = A B = (A + a_1) (B - b_1) = (A + a_2) (B - b_2) = (A + a_3) (B - b_3)$ with $B \le A$, $1 \le a_1 < a_2 < a_3 \le C$ and $1 \le b_1 < b_2 < b_3 \le C$. We obtain the optimal upper bound $A \le 0.04742 \ldots \cdot C^3 + O(C)$. The key idea is to transform the original question into generalized Pell equations $a x^2 - b y^2 = c$ and study their solutions.

"En 2011, l’OMS accueille une nouvelle maladie dans son catalogue: la bigorexie. Initialement réservée aux adeptes des salles de musculation, le terme décrit désormais l’addiction au sport."
#santé #trail

Deformations and Einstein metrics I
Changtao Yu
https://arxiv.org/abs/2508.03419 https://arxiv.org/pdf/2508.03419…

Deformations and Einstein metrics I
This essay is about how to construct a new Einstein metric by an old one. Given an Einstein metric $α$ and its Killing $1$-form $β$, donote $b:=\|β\|_α$, we aim to determined the deformation factors $e^{ρ(b^2)}$ and $κ(b^2)$ such that $e^{ρ(b^2)}\sqrt{α^2-κ(b^2)β^2}$ becomes an Einstein metric. In face, it will depends critically on the peculiarities of the Killing $1$-form. As the first article in this series, we assume $β$ satisfies two curcial conditions (5.3) and (5.4),…

Sparsity and Total Variation Constrained Multilayer Linear Unmixing for Hyperspectral Imagery
Gang Yang
https://arxiv.org/abs/2508.03403 https://arxiv.org/…

Sparsity and Total Variation Constrained Multilayer Linear Unmixing for Hyperspectral Imagery
Hyperspectral unmixing aims at estimating material signatures (known as endmembers) and the corresponding proportions (referred to abundances), which is a critical preprocessing step in various hyperspectral imagery applications. This study develops a novel approach called sparsity and total variation (TV) constrained multilayer linear unmixing (STVMLU) for hyperspectral imagery. Specifically, based on a multilayer matrix factorization model, to improve the accuracy of unmixing, a TV constraint…

$\gamma, J/\psi$ production through ISR process in electron-positron annihilation at B-factories
Shashank Bhatnagar
https://arxiv.org/abs/2508.03212 https://

$γ, J/ψ$ production through ISR process in electron-positron annihilation at B-factories
We study the Initial state radiation (ISR) process, $e^- e^+ \rightarrow^*γ\rightarrow γ+J/ψ$ observed at high luminosity $e^- e^+$ colliders such as B-factories, with the ISR photon being emitted through the initial electron or positron, prior to their annihilation. The emitted $J/Ψ$ is produced through the photon fragmentation process, with the produced $J/ψ$ in turn decaying into a pair of leptons, $μ^-+μ^+$ through the leptonic decay process, $J/Ψ\rightarrow γ^*\rightarrow γμ^- �…

Probing Syntax in Large Language Models: Successes and Remaining Challenges
Pablo J. Diego-Sim\'on, Emmanuel Chemla, Jean-R\'emi King, Yair Lakretz
https://arxiv.org/abs/2508.03211

Probing Syntax in Large Language Models: Successes and Remaining Challenges
The syntactic structures of sentences can be readily read-out from the activations of large language models (LLMs). However, the ``structural probes'' that have been developed to reveal this phenomenon are typically evaluated on an indiscriminate set of sentences. Consequently, it remains unclear whether structural and/or statistical factors systematically affect these syntactic representations. To address this issue, we conduct an in-depth analysis of structural probes on three controlled benc…

This https://arxiv.org/abs/2505.20863 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Leveraging Diffusion Models for Parameterized Quantum Circuit Generation
Quantum computing holds immense potential, yet its practical success depends on multiple factors, including advances in quantum circuit design. In this paper, we introduce a generative approach based on denoising diffusion models (DMs) to synthesize parameterized quantum circuits (PQCs). Extending the recent diffusion model pipeline of Fürrutter et al. [1], our model effectively conditions the synthesis process, enabling the simultaneous generation of circuit architectures and their continuous…

This https://arxiv.org/abs/2505.03264 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Study of Heavy Hadron Production in Au + Au Collisions at a Center-of-Mass Energy of $\sqrt{s_{NN}}=200$ GeV
Using the Monte Carlo HYDJET++ model, the transverse momentum ($p_{T}$) spectra of heavy hadrons ($D^{0}$, $\overline{D}^{0}$, $D^{+}$, $D^{-}$ and $Λ_{c}$), as well as the nuclear modification factors of $D^{0}$ and $D^{\pm}$, produced in Au + Au collisions at $\sqrt{s_{NN}} = 200$ GeV RHIC energy across various centrality bins, are presented. This study is motivated by the need to understand the centrality dependence of the charm enhancement factor ($γ_{c}$) and the roles of different hadro…

LongVie: Multimodal-Guided Controllable Ultra-Long Video Generation
Jianxiong Gao, Zhaoxi Chen, Xian Liu, Jianfeng Feng, Chenyang Si, Yanwei Fu, Yu Qiao, Ziwei Liu
https://arxiv.org/abs/2508.03694

LongVie: Multimodal-Guided Controllable Ultra-Long Video Generation
Controllable ultra-long video generation is a fundamental yet challenging task. Although existing methods are effective for short clips, they struggle to scale due to issues such as temporal inconsistency and visual degradation. In this paper, we initially investigate and identify three key factors: separate noise initialization, independent control signal normalization, and the limitations of single-modality guidance. To address these issues, we propose LongVie, an end-to-end autoregressive fr…