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This note is a companion paper to arXiv:1608.01630 [math.CA]. Here we generalize some of the geometric results of arXiv:1608.01630 [math.CA] to the case of a $3\times 3$ matrix function $A(x)\approx \mathrm{diag}\{1,f(x_1), g(x_1)\}$. More precisely,
Externí odkaz:
http://arxiv.org/abs/2412.05810
The collection of speech data carried out in Sociolinguistics has the potential to enhance large language models due to its quality and representativeness. In this paper, we examine the ethical considerations associated with the gathering and dissemi
Externí odkaz:
http://arxiv.org/abs/2411.07512
Language models (LMs) are increasingly used as simulacra for people, yet their ability to match the distribution of views of a specific demographic group and be \textit{distributionally aligned} remains uncertain. This notion of distributional alignm
Externí odkaz:
http://arxiv.org/abs/2411.05403
This study examines the applicability of the Cloze test, a widely used tool for assessing text comprehension proficiency, while highlighting its challenges in large-scale implementation. To address these limitations, an automated correction approach
Externí odkaz:
http://arxiv.org/abs/2411.01280
Autor:
Freitag, Raquel Meister Ko
Linguistic diversity is a human attribute which, with the advance of generative AIs, is coming under threat. This paper, based on the contributions of sociolinguistics, examines the consequences of the variety selection bias imposed by technological
Externí odkaz:
http://arxiv.org/abs/2411.01259
Surprisal theory posits that the cognitive effort required to comprehend a word is determined by its contextual predictability, quantified as surprisal. Traditionally, surprisal theory treats words as distinct entities, overlooking any potential simi
Externí odkaz:
http://arxiv.org/abs/2410.17676
Quantum repeaters and satellite-based optical links are complementary technological approaches to overcome the exponential photon loss in optical fibers and thus allow quantum communication on a global scale. We analyze architectures which combine th
Externí odkaz:
http://arxiv.org/abs/2410.11422
Different of biases are reproduced in LLM-generated responses, including dialectal biases. A study based on prompt engineering was carried out to uncover how LLMs discriminate varieties of Brazilian Portuguese, specifically if sociolinguistic rules a
Externí odkaz:
http://arxiv.org/abs/2410.10991
We consider a general class of statistical experiments, in which an $n$-dimensional centered Gaussian random variable is observed and its covariance matrix is the parameter of interest. The covariance matrix is assumed to be well-approximable in a li
Externí odkaz:
http://arxiv.org/abs/2410.05751
Autor:
Sun, Zhu, Boyd, Gregory, Cai, Zhenyu, Jnane, Hamza, Koczor, Balint, Meister, Richard, Minko, Romy, Pring, Benjamin, Benjamin, Simon C., Stamatopoulos, Nikitas
We explore the important task of applying a phase $exp(i f(x))$ to a computational basis state $\left| x \right>$. The closely related task of rotating a target qubit by an angle depending on $f(x)$ is also studied. Such operations are key in many qu
Externí odkaz:
http://arxiv.org/abs/2409.04587