Amplitude - Wikipedia
value (DC component), the peak amplitude is the maximum absolute value of the difference from that reference. Peak-to-peak amplitude (abbreviated p–p
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Encoding Argumentation Frameworks to Propositional Logic Systems
This paper generalizes the encoding of argumentation frameworks beyond the classical 2-valued propositional logic system ($PL_2$) to 3-valued propositional logic systems ($PL_3$s) and fuzzy propositional logic systems ($PL_{[0,1]}s$), employing two k...
Calculus I - Optimization - Pauls Online Math Notes
Nov 16, 2022 · In this section we are going to look at optimization problems. In optimization problems we are looking for the largest value or the smallest value that a function can take.
From Gumbel to Tracy-Widom
The Tracy-Widom distribution that has been much studied in recent years can be thought of as an extreme value distribution. We discuss interpolation between the classical extreme value distribution $\exp(-\exp(-x))$, the Gumbel distribution and the...
The Impact of Perceptions of Social Media Advertisements on Advertising Value, B…
The aim of this paper is to examine how consumer perceptions of social media advertisements affect advertising value and brand awareness. With a rapid increase in the number of social media users over the last ten years, a new advertising domain has...
Asymmetric scaling in large deviations for rare values bigger or smaller than th…
In various disordered systems or non-equilibrium dynamical models, the large deviations of some observables have been found to display different scalings for rare values bigger or smaller than the typical value. In the present paper, we revisit the s...
Absolute value - Wikipedia
In mathematics, the absolute value or modulus of a real number x {\displaystyle x} , denoted | x | {\displaystyle |x|} , is the (non-negative) magnitude
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On the Largest Singular Values of Random Matrices with Independent Cauchy Entrie…
We apply the method of determinants to study the distribution of the largest singular values of large $ m \times n $ real rectangular random matrices with independent Cauchy entries. We show that statistical properties of the (rescaled by a factor...
The Distribution of the Largest Non-trivial Eigenvalues in Families of Random Re…
Recently Friedman proved Alon's conjecture for many families of d-regular graphs, namely that given any epsilon > 0 `most' graphs have their largest non-trivial eigenvalue at most 2 sqrt{d-1}+epsilon in absolute value; if the absolute value of the...
Pawn 1. Your Premier Pawn Shop to Buy, Sell and Loan – Need …
Pawn 1 accepts most items of value in exchange for a short-term cash loan. We place the highest value on your item, give you the cash, and then securely store it until you’re ready to get it back.
Value-Aligned GPTs for Personalized Decision-Making✨
A value-aligned GPT is an AI agent designed to operate according to a specific set of values, principles, or decision-making styles defined by its creators or users. These values guide the agent’s ...
Reclaiming the Horizon: Novel Visualization Designs for Time-Series Data with La…
We introduce two novel visualization designs to support practitioners in performing identification and discrimination tasks on large value ranges (i.e., several orders of magnitude) in time-series data: (1) The order of magnitude horizon graph, which...
Exit times for an increasing Lévy tree-valued process
We give an explicit construction of the increasing tree-valued process introduced by Abraham and Delmas using a random point process of trees and a grafting procedure. This random point process will be used in companion papers to study record process...
Type Safe Redis Queries: A Case Study of Type-Level Programming in Haskell
Redis is an in-memory data structure store, often used as a database, with a Haskell interface Hedis. Redis is dynamically typed --- a key can be discarded and re-associated to a value of a different type, and a command, when fetching a value of a ty...
Constructing `full-frequency' spectra via moment constraints for coupled cluster…
We propose an approach to build `full-frequency' quasiparticle spectra from conservation of a set of static expectation values. These expectation values define the moments of the spectral distribution, resulting in an efficient and systematically imp...
On Extensions of CLEVER: A Neural Network Robustness Evaluation Algorithm
CLEVER (Cross-Lipschitz Extreme Value for nEtwork Robustness) is an Extreme Value Theory (EVT) based robustness score for large-scale deep neural networks (DNNs). In this paper, we propose two extensions on this robustness score. First, we provide a...
Gram mates, sign changes in singular values, and isomorphism
We study distinct $(0,1)$ matrices $A$ and $B$, called \textit{Gram mates}, such that $AA^T=BB^T$ and $A^TA=B^TB$. We characterize Gram mates where one can be obtained from the other by changing signs of some positive singular values. We classify Gra...
Landau-Khalatnikov-Fradkin transformation and hatted zeta-values
We show an exact formula obtained in [1], which relates hatted and standard zeta-values to all orders of perturbation theory. The formula is based on the Landau-Khalatnikov-Fradkin (LKF) transformation between the massless propagators of charged part...