Results 21 to 30 of about 3,816 (118)
Wigner chaos and the fourth moment [PDF]
We prove that a normalized sequence of multiple Wigner integrals (in a fixed order of free Wigner chaos) converges in law to the standard semicircular distribution if and only if the corresponding sequence of fourth moments converges to 2, the fourth ...
Giovanni Peccati +4 more
core +6 more sources
Models in Decision‐Making Under Risk and Uncertainty
ABSTRACT This paper systematically compares dominant frameworks for modeling decision‐making under risk and uncertainty, evaluating their theoretical trade‐offs and practical relevance for economic research. We establish key criteria for model selection—including predictive accuracy, descriptive realism, computational tractability, and ecological ...
Martin Höppner
wiley +1 more source
Properties of Noncommutative Renyi and Augustin Information
The scaled R\'enyi information plays a significant role in evaluating the performance of information processing tasks by virtue of its connection to the error exponent analysis.
Cheng, Hao-Chung +2 more
core +1 more source
Multi‐Channel Convolutional Neural Quantum Embedding
This study presents convolutional neural quantum embedding (CNQE), a framework for optimizing quantum data embeddings for multi‐channel data classification, grounded in quantum state discrimination and Fourier analysis of quantum circuits. CNQE is validated through proof‐of‐principle demonstrations on CIFAR‐10 and Tiny ImageNet, showing improved ...
Yujin Kim +4 more
wiley +1 more source
De Finetti theorems for easy quantum groups
We study sequences of noncommutative random variables which are invariant under "quantum transformations" coming from an orthogonal quantum group satisfying the "easiness" condition axiomatized in our previous paper. For 10 easy quantum groups, we obtain
Banica, Teodor +2 more
core +1 more source
FPGA Realization of a Novel Hyperchaos Augmented Image Encryption Algorithm
With the rapid growth of multimedia communication, protecting image data has become increasingly critical. This article proposes a novel 3‐stage hyperchaos‐based augmented image encryption technique (3SHAIET) that utilizes a three‐stage process with chaotic systems of increasing dimensionality (e.g., six‐dimensional [6D], 8D, and 9D) to enhance ...
Wassim Alexan +6 more
wiley +1 more source
Dynamically Consistent Analysis of Realized Covariations in Term Structure Models
ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
wiley +1 more source
Reichenbach's Common Cause Principle in Algebraic Quantum Field Theory with Locally Finite Degrees of Freedom [PDF]
In the paper it will be shown that Reichenbach's Weak Common Cause Principle is not valid in algebraic quantum field theory with locally finite degrees of freedom in general.
B.C. Fraassen Van +21 more
core +1 more source
Average‐Case Matrix Discrepancy: Satisfiability Bounds
ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
wiley +1 more source
Linearization coefficients for orthogonal polynomials using stochastic processes [PDF]
Given a basis for a polynomial ring, the coefficients in the expansion of a product of some of its elements in terms of this basis are called linearization coefficients.
Anshelevich, Michael
core +1 more source

