1. **Microsoft** **Research** released ***Phi-2*** , a 2.7 billion-parameter language model. Phi-2 surpasses larger models like 7B Mistral and 13B Llama-2 in benchmarks, and outperforms 25x larger Lla...
1. **Microsoft** **Research** released ***Phi-2*** , a 2.7 billion-parameter language model. Phi-2 surpasses larger models like 7B Mistral and 13B Llama-2 in benchmarks, and outperforms 25x larger Lla...
Bandeira et al. (2017) show that the eigenvalues of the Kendall correlation matrix of $n$ i.i.d. random vectors in $\mathbb{R}^p$ are asymptotically distributed like $1/3 + (2/3)Y_q$, where $Y_q$ has a Marčenko-Pastur law with parameter $q=\lim(p/n)...
We prove that - even at a low TeV scale - the canonical seesaw mechanism can be naturally implemented in the exact solution of a particular 3-3-1 gauge model, since a very small alteration $ε$ in the parameter matrix of the Higgs sector is taken i...
Results from simulations of quarkonia and heavy-light mesons on an anisotropic lattice are presented. The improved quark action and action-parameter tuning used in this study are discussed....
Two infinite families of Cremona maps depending on one real parameter are given. For all integers $n \ge 1$ the first family of Cremona maps consists of group elements in $Bir \left( \mathbb{P}^{n} \right)$ with bidegree $(n, n)$, the second family o...
We present seismic analysis of the prototype SX Phoenicis that aims at fitting the two radial-mode frequencies and the corresponding values of the bolometric flux amplitude (the parameter $f$), whose empirical values are derived from multi-coulor pho...
As model parameter sizes scale into the billions and training consumes zettaFLOPs of computation, the reuse of Machine Learning (ML) assets and collaborative development have become increasingly prevalent in the ML community. These ML assets, includi...
Rank-Ordered Multifractal Analysis (ROMA), a recently developed technique that combines the ideas of parametric rank ordering and one parameter scaling of monofractals, has the capabilities of deciphering the multifractal characteristics of intermi...
Obtaining precise theoretical predictions for both production and decay processes of heavy new particles is of great importance to constrain the allowed parameter spaces of Beyond-the-Standard-Model (BSM) theories, and to properly assess the sensitiv...
Parameter-efficient fine-tuning (PEFT) methods, such as LoRA, reduce adaptation cost by injecting low-rank updates into pretrained weights. However, LoRA's down-projection is randomly initialized and data-agnostic, discarding potentially useful infor...
PARAMETER UNIT TECHNICAL DATA Rated capacity (Emax) Klb 25/40/50/60/75/100/125/150/200 Accuracy class C3Sensitivity mV/V 3.0 ±0.003 Zero balance mV/V0.03Creep over 30min %0.02Temperature effect on zero %/ 0.004Temperature effect on output %/ 0.0014Hysteresis %…
PARAMETER UNIT TECHNICAL DATA Rated capacity (Emax) kg 25/50/200/500/1,000/2,000/3,000/5,000/10,000/20,000/30,000 Accuracy class 0.3Sensitivity mV/V 2.0 ±10% Zero balance mV/V0.04Creep over 30min %0.1Temperature effect on zero %/ 0.0012Temperature effect on ou…
We study the Nordström-Vlasov system which describes the dynamics of a self-gravitating ensemble of collisionless particles in the framework of the Nordström scalar theory of gravitation. If the speed of light $c$ is considered as a parameter, it...
We study the two-parameter family of unitary operators \[ \mathcal{F}_{k,a}=\exp\Bigl(\frac{iπ}{2a}\,(2\langle k\rangle+{d}+a-2 )\Bigr) \exp\Bigl(\frac{iπ}{2a}\,Δ_{k,a}\Bigr), \] which are called $(k,a)$-generalized Fourier transforms and defined...
We give a stochastic comparison and ordering of the Tracy-Widom distribution with parameter $β$. In particular, we show that as $β$ grows, the Tracy-Widom random variables get smaller modulo a multiplicative coefficient....
New large language models (LLMs) are being released every day. Some perform significantly better or worse than expected given their parameter count. Therefore, there is a need for a method to independently evaluate models. The current best way to eva...
Evaluating safety performance in a resource-efficient way is crucial for the development of autonomous systems. Simulation of parameterized scenarios is a popular testing strategy but parameter sweeps can be prohibitively expensive. To address this,...
We propose a unified BRST formulation of general massless fermionic fields of arbitrary mixed-symmetry type in $d$-dimensional Minkowski space. Depending on the value of the real parameter the system describes either helicity fields or continuous spi...
We construct a topos in which the Dedekind reals are countable. The topos arises from a new kind of realizability, which we call parameterized realizability, based on partial combinatory algebras whose application depends on a parameter. Realizers...