Blog
Ridge-Regularized Largest Root Test for General High-dimensional Double Wishart Problems
In multivariate analysis, many core problems involve the eigen-analysis of an \(F\)-matrix, \(\bF = \bW_1\bW_2^{-1}\), constructed from two Wishart matrices, \(\bW_1\) and \(\bW_2\). These so-called \textit{Double Wishart problems} arise in contexts such as MANOVA, covariance matrix equality testing, and hypothesis testing in...
T2VShield: Model-Agnostic Jailbreak Defense for Text-to-Video Models
The rapid development of generative artificial intelligence has made text to video models essential for building future multimodal world simulators. However, these models remain vulnerable to jailbreak attacks, where specially crafted prompts bypass safety mechanisms and lead to the generation of harmful...
Transport f divergences
We define a class of divergences to measure differences between probability density functions in one-dimensional sample space. The construction is based on the convex function with the Jacobi operator of mapping function that pushforwards one density to the other. We call these...
Derivatives of tree tensor networks and its applications in Runge–Kutta methods
Tree tensor networks (TTNs) provide a compact and structured representation of high-dimensional data, making them valuable in various areas of computational mathematics and physics. In this paper, we present a rigorous mathematical framework for expressing high-order derivatives of functional TTNs, both with...
Element-Grouping Strategy for Intelligent Reflecting Surface: Performance Analysis and Algorithm Optimization
As a revolutionary paradigm for intelligently controlling wireless channels, intelligent reflecting surface (IRS) has emerged as a promising technology for future sixth-generation (6G) wireless communications. While IRS-aided communication systems can achieve attractive high channel gains, existing schemes require plenty of IRS elements...
Mean Field Games of Control and Cryptocurrency Mining
This paper studies Mean Field Games (MFGs) in which agent dynamics are given by jump processes of controlled intensity, with mean-field interaction via the controls and affecting the jump intensities. We establish the existence of MFG equilibria in a general discrete-time setting,...
Estimates of Rotation Periods for Jupiter Trojans with the Zwicky Transient Facility Photometric Lightcurves
We present new rotational period estimates for 216 Jupiter Trojans using photometric data from the Zwicky Transient Facility (ZTF), including 80 Trojans with previously unknown periods. Our analysis reveals rotation periods ranging from 4.6 hours to 447.8 hours. These results support the...
Transition from positive to negative photoconductivity in AlGaN/GaN quantum-well heterostructures
The AlGaN/GaN quantum-well heterostructures typically exhibit a positive photoconductivity (PPC) during the light illumination. Surprisingly, we found that introducing the GaN/AlN superlattice (SL) back barrier into N-polar AlGaN/GaN quantum-well heterostructures induces a transition in these heterostructures from PPC to negativie photoconductivity (NPC)...
Scale-dependent alignment in compressible magnetohydrodynamic turbulence
Using $10,\!080^3$ grid simulations, we analyze scale-dependent alignment in driven, compressible, no net-flux magnetohydrodynamic turbulence. The plasma self-organizes into localized, strongly aligned regions. Alignment spans all primitive variables and their curls. Contrary to incompressible theory, velocity-magnetic alignment scales as $\theta(\lambda) \sim \lambda^{1/8}$,...
Interpretable Deep Learning for Polar Mechanistic Reaction Prediction
Accurately predicting chemical reactions is essential for driving innovation in synthetic chemistry, with broad applications in medicine, manufacturing, and agriculture. At the same time, reaction prediction is a complex problem which can be both time-consuming and resource-intensive for chemists to solve. Deep...