Results 71 to 80 of about 497,049 (200)
Quantum Spectral Clustering Framework via Compact Circuit Structures
Can a quantum computer cluster data without ever reading the full kernel? This work shows that compact, parameterized circuits estimate the Laplacian quadratic forms directly and perform clustering, without explicitly constructing the full quantum fidelity‐kernel matrix.
Hyeong‐gyu Kim +2 more
wiley +1 more source
Importance Weighted Directed Graph Variationalauto‐Encoder for Block Modeling of Complex Networks
ABSTRACT This paper addresses the fundamental challenge of jointly performing node clustering and representation learning in directed and valued graphs, which needs both global and local network structures to be captured. While these two tasks are highly interdependent, they are often treated separately in existing works.
S. Niang +3 more
wiley +1 more source
The Hermite Hadamard Inequality on Hypercuboid
Given any a := (a1; a2,... ; an) and b := (b1; b2;... ; bn) in Rn. The n-fold convex function dened on [a; b], a; b 2 Rn with a < b is a convex function in each variable separately. In this work we prove an inequality of Hermite-Hadamard type for n-fold convex functions. Namely, we establish the inequality
openaire +3 more sources
Let \(U\) be a unitary \(n\times n\) matrix with determinant equal to 1. Let \(A\) be an \(n\times n\) real matrix with rank at most 2 and all entries at least 1. Then \(\text{det} (A\bullet U) \geq 1\), where \(A\bullet U\) is the elementwise product of \(A\) and \(U\).
Ambikkumar, S., Drury, S.W.
openaire +2 more sources
Integral inequalities for some convex functions via generalized fractional integrals
In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
doaj +1 more source
Distributed k‐WTA Network for Multi‐Manipulator Competition With Experimental Verifications
ABSTRACT In this article, a new distributed k $k$‐winner‐take‐all (Dk $k$‐WTA) network is designed and used to construct a dynamic allocation scheme for competitive coordination tasks of multiple manipulators as embodied agents. The scheme is constructed based on the following two aspects. On one hand, with reference to a perspective that the Laplacian
Shengkai Sun, Yutong Li, Jianfeng Lv
wiley +1 more source
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Bekjan, Turdebek N., Raikhan, Madi
openaire +2 more sources
ABSTRACT The k $k$‐winners‐take‐all (k $k$WTA) problem, as a competitive selection strategy, is crucial in multi‐agent systems. However, existing noise‐robust k $k$WTA networks mainly address noise while overlooking communication disturbances. The coexistence of both factors significantly degrades solution accuracy and hinders distributed consensus ...
Jiexing Li, Shuai Li
wiley +1 more source
Panel Sequential Group Estimation of Interactive Effects Models
ABSTRACTThis paper proposes a novel procedure to identify latent groups in the slopes of panel data models with interactive effects. The method is straightforward to apply and relies only on closed‐form estimators when evaluating the objective function. This achieves substantial computational gains compared to alternative non‐linear methods and enables
Ignace De Vos, Joakim Westerlund
wiley +1 more source
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali +3 more
doaj +1 more source

