Low-rank adaptation (LoRA) is a parameter-efficient fine-tuning (PEFT) method widely used in large language models (LLMs). It approximates the update of a pretrained weight matrix $W\in\mathbb{R}^{m\times n}$ by the product of two low-rank matrices,...
We consider random hyperbolic graphs in hyperbolic spaces of any dimension $d+1\geq 2$. We present a rescaling of model parameters that casts the random hyperbolic graph model of any dimension to a unified mathematical framework, leaving the degree d...
The 75th Ranger Regiment is the U.S. Army’s premier large-scale Special Operations Force and it is made up of some of the most elite soldiers in the world. Being a Ranger is no easy task, requires a …
Understand factors that determine local ranking Important: There's no way to request or pay for a better local ranking on Google. We do our best to keep the search algorithm details confidential to make …
We consider random walks in a uniformly elliptic, balanced, i.i.d. random environment in the integer lattice $Z^d$ for $d\geq 2$ and the corresponding problem of stochastic homogenization of non-divergence form difference operators. We first derive a...
A random walk on a regular tree (or any non-amenable graph) has positive speed. We ask whether such a walk can be slowed down by applying carefully chosen time-dependent permutations of the vertices. We prove that on trees the random walk can not be...
Let L be a number field and let E be any subgroup of the units O_L^* of L. If rank(E) = 1, Lehmer's conjecture predicts that the height of any non-torsion element of E is bounded below by an absolute positive constant. If rank(E) = rank(O_L^*), Zimme...
We consider the following budget-constrained random graph process introduced by Frieze, Krivelevich and Michaeli. A player, called Builder, is presented with $t$ distinct edges of $K_n$ one by one, chosen uniformly at random. Builder may purchase at...
In this paper, using inverse integral transforms, we derive the exact distribution of the random variable $X$ that is involved in the ratio $Z \stackrel{d}{=} X/(X+Y)$ where $X$ and $Y$ are independent random variables having the same support, and $Z...
TMZ - The ranch is a massive 36 acres with a 5,149-square-foot main house that features 5 bedrooms and three bathrooms. There's also cabins and a pool on the ranch, plus sweeping views of the Pedernal...
Welcome to week 3 of the official r/NFL Power Rankings! Three weeks in and the rankings are spinning like a top. Superior McDaniel is ushering the Dolphins in Tua new era, while the lesser, visor-head...
In this paper, we investigate the parking process on a uniform random rooted binary tree with $n$ vertices. Viewing each vertex as a single parking space, a random number of cars independently arrive at and attempt to park on each vertex one at a tim...
since become a full-fledged ransomware-as-a-service (RaaS) operation used by numerous threat actor groups to conduct ransomware attacks. Conti malware, once
The rise of ransomware attacks has necessitated the development of effective strategies for identifying and mitigating these threats. This research investigates the utilization of a feature selection algorithm for distinguishing ransomware-related an...
Ransomware as a service (RaaS) is a cybercrime business model, allowing ransomware developers to write and sell harmful code or malware to other hackers