A new lower bound for multi-color discrepancy with applications to fair division

February 14, 2025

| | | | |

Computer Science
Computer Science and Game Theory
Computer Science and Game Theory
A classical problem in combinatorics seeks colorings of low discrepancy. More concretely, the goal is to color the elements of a set system so that the number of appearances of any color among the elements in each set is as balanced as poss...

Machine learning the vanishing order of rational L-functions

February 14, 2025

| | | | | | | | | | and others

Mathematics
Physics
Number Theory
High Energy Physics - Theory
Number Theory
High Energy Physics - Theory
In this paper, we study the vanishing order of rational LL-functions from a data scientific perspective. Each LL-function is represented in our data by finitely many Dirichlet coefficients, the normalisation of which depends on the contex...

SessionRec: Next Session Prediction Paradigm For Generative Sequential Recommendation

February 14, 2025

| | | | | | | | | | and others

Computer Science
Information Retrieval
Artificial Intelligence
Information Retrieval
Artificial Intelligence
We introduce SessionRec, a novel next-session prediction paradigm (NSPP) for generative sequential recommendation, addressing the fundamental misalignment between conventional next-item prediction paradigm (NIPP) and real-world recommendati...

Semantica: Decentralized Search using a LLM-Guided Semantic Tree Overlay

February 14, 2025

| | | | | | |

Computer Science
Electrical Engineering and Systems Science
Information Retrieval
Distributed, Parallel, and Cluster Computing
Networking and Internet Architecture
Systems and Control
Systems and Control
Information Retrieval
Distributed, Parallel, and Cluster Computing
Networking and Internet Architecture
Systems and Control
Systems and Control
Centralized search engines are key for the Internet, but lead to undesirable concentration of power. Decentralized alternatives fail to offer equal document retrieval accuracy and speed. Nevertheless, Semantic Overlay Networks can come clos...

Provably Efficient RL under Episode-Wise Safety in Constrained MDPs with Linear Function Approximation

February 14, 2025

| | | | | | | | | | and others

Computer Science
Machine Learning
Machine Learning
We study the reinforcement learning (RL) problem in a constrained Markov decision process (CMDP), where an agent explores the environment to maximize the expected cumulative reward while satisfying a single constraint on the expected total ...

A novel approach to data generation in generative model

February 14, 2025

| | |

Computer Science
Machine Learning
Artificial Intelligence
Machine Learning
Artificial Intelligence
Variational Autoencoders (VAEs) and other generative models are widely employed in artificial intelligence to synthesize new data. However, current approaches rely on Euclidean geometric assumptions and statistical approximations that fail ...

Intermittency and Dissipation Regularity in Turbulence

February 14, 2025

| | | | | | |

Mathematics
Physics
Analysis of PDEs
Mathematical Physics
Mathematical Physics
Fluid Dynamics
Analysis of PDEs
Mathematical Physics
Mathematical Physics
Fluid Dynamics
We lay down a geometric-analytic framework to capture properties of energy dissipation within weak solutions to the incompressible Euler equations. For solutions with spatial Besov regularity, it is proved that the Duchon-Robert distributio...

Tensor condensate accompanied by chiral transition in a strong magnetic field

February 14, 2025

| | |

Physics
High Energy Physics - Theory
High Energy Physics - Theory
We investigate tensor condensates and chiral condensates in the (2+1)-flavor Nambu-Jona-Lasinio model at finite temperature and density in the presence of a strong magnetic field. The emergence of the tensor condensate is attributed to the ...

Large Language Diffusion Models

February 14, 2025

| | | | | | | | | | and others

Computer Science
Computation and Language
Machine Learning
Computation and Language
Machine Learning
Autoregressive models (ARMs) are widely regarded as the cornerstone of large language models (LLMs). We challenge this notion by introducing LLaDA, a diffusion model trained from scratch under the pre-training and supervised fine-tuning (SF...

V2V-LLM: Vehicle-to-Vehicle Cooperative Autonomous Driving with Multi-Modal Large Language Models

February 14, 2025

| | | | | | | | | | and others

Computer Science
Computer Vision and Pattern Recognition
Robotics
Computer Vision and Pattern Recognition
Robotics
Current autonomous driving vehicles rely mainly on their individual sensors to understand surrounding scenes and plan for future trajectories, which can be unreliable when the sensors are malfunctioning or occluded. To address this problem,...