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Physics Preprint PDF DOI

The faint voice of a radio-weak BL Lacertae: modeling the broadband emission of WISE~J141046.00+740511.2

A. M. Carulli, F. L. Vieyro, M. M. Reynoso, E. J. Marchesini, I. Andruchow · 2026

The WISE source, J141046.00+740511.2, has been recently observed from radio to $\gamma$ rays. Although the optical spectrum is consistent with a BL Lacertae (BL Lac) object, the source displays unusua…

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Sociology & Anthropology Preprint PDF DOI

Universal statistical laws governing culinary design

Ganesh Bagler, Gopal Krishna Tewari, Aditya Raj Yadav, Akshat Singh, Pranay Bansal, Ujjval Dargar, Mansi Goel, Madhvi Kumari Sinha · 2026

Cooking is a cultural expression of human creativity that transcends geography and time through the orchestration of ingredients and techniques, much like languages do through words and syntax. Yet, b…

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Computer Science Preprint PDF DOI

Requirements Debt in AI-Enabled Perception Systems Development: An Industrial RE4AI Perspective

Hina Saeeda, Soniya Abraham · 2026

AI integration in automotive perception systems shifts requirements from static specifications to continuously evolving entities shaped by data, models, and operating contexts. When such changes are n…

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Mathematics Preprint PDF DOI

A Neural Network Method for Scalar Conservation Laws with Convergence Rates for Shock-Wave Solutions: extended version

Jiachuan Cao, Buyang Li, Hao Li · 2026

We introduce an entropy-compatible neural network method for scalar hyperbolic conservation laws based on a computable surrogate of the Kru\v{z}kov entropy residual. The proposed loss is designed to e…

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AI & Data Science Preprint PDF DOI

Learning Rate Engineering: From Coarse Single Parameter to Layered Evolution

Ming-Hong Yao, Di Wang, Jian Cui, Jin-Yan Chen, Zi-Hao Cui, Fa Wang, Chen Wei, Qiu-Ye Yu · 2026

Learning rate scheduling has evolved from the single global fixed rate of early SGD to sophisticated layer-wise adaptive strategies. We systematize this evolution into five generations: (Gen1) global …

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Physics Preprint PDF DOI

Galaxy Zoo Bar Lengths: A Catalogue of Measurements from Hubble Space Telescope Images and the Evolution of Galactic Bar Structure at z < 1

Tenley Hutchinson-Smith, Brooke D. Simmons, Karen L. Masters, Alison Coil, Izzy Garland, Tobias Geron, Sandor Kruk, Chris Lintott, Rebecca Smethurst, Amauri Tapia, Kyle Willett, Elisabeth Baeten, Sylvia Beer, Michael L. Peck, Julianne Wilcox · 2026

Understanding the role of galactic scale bars in disk galaxy evolution requires detailed measurements of bar properties across galaxies hosting bars at many redshifts. We present measurements of bar l…

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Mathematics Preprint PDF DOI

Systems of Nonlocal Conservation Laws with Memory and Their Zero Retention Limit

Aekta Aggarwal, Ganesh Vaidya · 2026

We study the entropy solution for a class of systems of nonlocal conservation laws in which the convective flux is convoluted with a kernel in both spatial and temporal variables. This formulation mod…

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Mathematics Preprint PDF DOI

The Expiring Coupon Collector: Sliding-Window Surjection Flux and Rare-Entry Laws

Christopher D. Long · 2026

We study the coupon collector with deterministic expiration: one coupon is drawn at each time, and each coupon remains active for exactly $M$ draws. Completion occurs when all $n$ coupon types are sim…

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AI & Data Science Preprint PDF DOI

The Difference Between "Replicable" and "Not replicable" is not Itself Scientifically Replicable

Berna Devezer, Erkan O. Buzbas · 2026

Replication studies estimate the replicability rate of scientific results by aggregating binary verdicts of experiments. Exact replications are rarely attainable, so most replication sequences are non…

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Mathematics Preprint PDF DOI

On the geometry of circumcentric directions of cones

Yunier Bello-Cruz · 2026

Behling, Bello-Cruz, Lara-Urdaneta, Oviedo, and Santos showed that the circumcentric direction $d$ of a finitely generated polyhedral cone $\KK\subset\RR^n$ admits an inscribed Euclidean ball of radiu…

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Physics Preprint PDF DOI

Level Crossing in Random Matrices. III. Analogs of Girko's circular and Wigner's semicircle laws

B.Shapiro · 2026

We study the asymptotic distribution of level crossings for random matrix pencils A_n+\lambda B_n in several ensembles, including complex and real i.i.d. matrices and Gaussian/Hermitian settings. We d…

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Physics Preprint PDF DOI

The Impact of Elliptical Broad-Line Regions on Reverberation-Based Black Hole Mass Estimates

Jiancheng Wu, Haicheng Feng, Qingwen Wu, Xinwu Cao · 2026

The virial factor $f$ is critical for accurate supermassive black hole (SMBH) mass measurements using reverberation mapping (RM) and the radius--luminosity ($R$--$L$) relation, yet its value remains h…

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AI & Data Science Preprint PDF DOI

Leverage Laws: A Per-Task Framework for Human-Agent Collaboration

Stan Loosmore · 2026

We propose a per-task leverage ratio for human-agent collaboration: human work displaced by an agent, divided by the human time required to specify the task, resolve mid-run interrupts, and review the…

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Mathematics Preprint PDF DOI

Joint Sato-Tate Laws for Transformations of Hecke Eigenvalues: The Vertical Case

Mohammad H. Hamdar, Tian Wang · 2026

We introduce a framework within which a large class of joint equidistribution problems can be studied and resolved with effective error terms. This involves proving a higher dimensional and $\mu$-anal…

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Economics & Finance Preprint PDF DOI

Efficient Multivariate Kelly Optimization Reveals Sigmoidal Scaling Laws

Ruslan Tepelyan, Daniel Lam · 2026

For a sequence of binary bets, the Kelly criterion provides a closed-form solution that maximizes the expected growth rate of wealth. In contrast, when multiple bets are placed simultaneously (e.g., i…

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Physics Preprint PDF DOI

Dynamical Modeling of the Broad-Line Region with High-Mass Active Galactic Nuclei and Constraints on the Virial Factor

Shu Wang, Jong-Hak Woo, Lizvette Villafana, Tommaso Treu, Elena Gallo · 2026

We present the results of broad-line region (BLR) dynamical modeling for eight high-mass active galactic nuclei (AGNs) from the Seoul National University AGN Monitoring Project, by constraining BLR ge…

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Computer Science Preprint PDF DOI

Profiling Resilient to Change in Probe Position

Elie Bursztein, Michael Gruber, Karel Kral, Jean-Michel Picod, Matthias Probst, Georg Sigl · 2026

Side Channel Analysis (SCA) relaxes the black-box assumption of conventional cryptanalysis by incorporating physical measurements acquired during cryptographic operations. Electro-magnetic (EM) emissi…

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Computer Science Preprint PDF DOI

Densification Converses for Walker Constellations With Explicit Constants and Reuse Scaling Laws

Ali Khalesi, Francois Baccelli · 2026

We establish densification converses for Walker LEO constellations under nearest-visible association in the full-frequency-reuse setting. Performance is evaluated under the invariant (stationary) meas…

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AI & Data Science Preprint PDF DOI

Incompressible Knowledge Probes: Estimating Black-Box LLM Parameter Counts via Factual Capacity

Bojie Li · 2026

Closed-source frontier labs do not disclose parameter counts, and the standard alternative -- inference economics -- carries $2\times$+ uncertainty from hardware, batching, and serving-stack assumptio…

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History & Literature Preprint PDF DOI

The principles of neopositivism and the laws of thermodynamics

Didier Lairez · 2026

The second law of thermodynamics, which deals with irreversibility and makes the theory so special, is usually considered empirical. The definition of equilibrium as an attractor, on the other hand, r…

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