Tootfinder

On a spherically lifted spin model at finite temperature
Xun Tang, Yuehaw Khoo, Lexing Ying
https://arxiv.org/abs/2506.02220 https://…

On a spherically lifted spin model at finite temperature
We investigate an \(n\)-vector model over \(k\) sites with generic pairwise interactions and spherical constraints. The model is a lifting of the Ising model whereby the support of the spin is lifted to a hypersphere. We show that the \(n\)-vector model converges to a limiting distribution at a rate of \(n^{-1/2 + o(1)}\). We show that the limiting distribution for \(n \to \infty\) is determined by the solution of an equality-constrained maximization task over positive definite matrices. We pro…

TransAct V2: Lifelong User Action Sequence Modeling on Pinterest Recommendation
Xue Xia, Saurabh Vishwas Joshi, Kousik Rajesh, Kangnan Li, Yangyi Lu, Nikil Pancha, Dhruvil Deven Badani, Jiajing Xu, Pong Eksombatchai
https://arxiv.org/abs/2506.02267

TransAct V2: Lifelong User Action Sequence Modeling on Pinterest Recommendation
Modeling user action sequences has become a popular focus in industrial recommendation system research, particularly for Click-Through Rate (CTR) prediction tasks. However, industry-scale CTR models often rely on short user sequences, limiting their ability to capture long-term behavior. Additionally, these models typically lack an integrated action-prediction task within a point-wise ranking framework, reducing their predictive power. They also rarely address the infrastructure challenges invo…

Lagrangian Finite-Time Fluctuation Relation in isotropic turbulence
Hanxun Yao, Tamer A. Zaki, Charles Meneveau
https://arxiv.org/abs/2506.23336 https://…

Lagrangian Finite-Time Fluctuation Relation in isotropic turbulence
The entropy generation rate in turbulence can be defined using the energy cascade rate as described in the scale-integrated Kolmogorov-Hill equation at a specified length scale. The fluctuation relation (FR) from non-equilibrium thermodynamics, which predicts exponential behaviour of the ratio of probability densities for positive and negative entropy production rates, was confirmed in prior work \citep{yao2023entropy}, but under certain limiting assumptions. We here examine the applicability o…

#5 🧾 Validate file uploads with proper size, type and filename sanitization
🍪 Configure secure cookie settings with httpOnly and sameSite attributes
📈 Implement rate limiting to prevent brute force and #DDoS attacks

COIN: Uncertainty-Guarding Selective Question Answering for Foundation Models with Provable Risk Guarantees
Zhiyuan Wang, Jinhao Duan, Qingni Wang, Xiaofeng Zhu, Tianlong Chen, Xiaoshuang Shi, Kaidi Xu
https://arxiv.org/abs/2506.20178

COIN: Uncertainty-Guarding Selective Question Answering for Foundation Models with Provable Risk Guarantees
Uncertainty quantification (UQ) for foundation models is essential to identify and mitigate potential hallucinations in automatically generated text. However, heuristic UQ approaches lack formal guarantees for key metrics such as the false discovery rate (FDR) in selective prediction. Previous work adopts the split conformal prediction (SCP) framework to ensure desired coverage of admissible answers by constructing prediction sets, but these sets often contain incorrect candidates, limiting the…

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D
Fabio Leotta
https://arxiv.org/abs/2506.13221

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D
We derive conditional a priori error estimates of a wide class of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D via the verification of weak consistency and entropy stability, as recently proposed by Bressan et al.~\cite{BressanChiriShen21}. Convergence in $L^\infty L^1$ with rate $h^{1/3}$ is obtained under a time step restriction $τ\leq ch$, provided the following conditions hold: the exact solution is pi…

Counting Reciprocal Hyperbolic Elements in Hecke Groups
Ara Basmajian, Blanca Marmolejo, Robert Suzzi Valli
https://arxiv.org/abs/2505.21365 https://

Counting Reciprocal Hyperbolic Elements in Hecke Groups
A reciprocal geodesic on a (2,k, $\infty$) Hecke surface is a geodesic loop based at an even order cone point p traversing its path an even number of times. Associated to each reciprocal geodesic is the conjugacy class of a hyperbolic element in the (2,k,$\infty$) Hecke group whose axis passes through a cone point that projects to p. Such an element is called a reciprocal hyperbolic element based at p. In this paper, we determine the asymptotic growth rate and limiting constant (in terms of w…

Achieving 70 Gb/s Over A VCSEL-Based Optical Wireless Link Using A Multi-Mode Fiber-Coupled Receiver
Hossein Kazemi, Isaac N. O. Osahon, Nikolay Ledentsov Jr., Ilya Titkov, Nikolay Ledentsov, Harald Haas
https://arxiv.org/abs/2506.18864

Achieving 70 Gb/s Over A VCSEL-Based Optical Wireless Link Using A Multi-Mode Fiber-Coupled Receiver
In this paper, we demonstrate a laser-based optical wireless communication (OWC) system employing a 940 nm single-mode (SM) vertical cavity surface emitting laser (VCSEL) and a multi-mode (MM) fiber-coupled receiver, achieving a record data rate beyond 70 Gb/s, while the optical transmit power is below 5 mW. The use of a high speed fiber-optic photoreceiver avoids limiting the communication bandwidth by the receiver, enabling ultra-high capacity and energy-efficient light fidelity (LiFi) links …