The Study of the Theoretical Size and Node Probability of the Loop Cutset in Bayesian Networks
Mathematics, 2020 Pearl’s conditioning method is one of the basic algorithms of Bayesian inference, and the loop cutset is crucial for the implementation of conditioning.
Jie Wei, Yufeng Nie, Wenxian Xie
doaj +1 more source
An SIE Formulation With Triangular Discretization and Loop Analysis for Parameter Extraction of Arbitrarily Shaped Interconnects [PDF]
IEEE transactions on microwave theory and techniques, 2022 A surface integral equation (SIE) formulation under the magneto-quasi-static assumption is proposed to efficiently and accurately model arbitrarily shaped interconnects in packages.
Zekun Zhu, Z. Chen, Shunchuan Yang
semanticscholar +1 more source
Hybrid Robust Model Predictive Based Controller for a Class of Multi-Agent Aerial dynamic Systems [PDF]
AUT Journal of Electrical Engineering, 2022 The decentralized control of a multi-agent system with leader-follower consensus is investigated. The system is formulated in graph theory, and a general configuration for L-F formation is proposed.
Erfan Nejabat, Amirhosein Nikoofard
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Fermions in loop quantum gravity and resolution of doubling problem [PDF]
Classical and quantum gravity, 2022 The fermion propagator is derived in detail from the model of fermion coupled to loop quantum gravity (LQG). As an ingredient of the propagator, the vacuum state is defined as the ground state of some effective fermion Hamiltonian under the background ...
Cong Zhang, Hongguang Liu, Muxin Han
semanticscholar +1 more source
Design of Strict Control-Lyapunov Functions for Quantum Systems with QND Measurements [PDF]
, 2011 We consider discrete-time quantum systems subject to Quantum Non-Demolition (QND) measurements and controlled by an adjustable unitary evolution between two successive QND measures.
Amini, Hadis +2 more
core +3 more sources
Chinese Journal of Mechanical Engineering, 2020 The current type synthesis of the redundant actuated parallel mechanisms is adding active-actuated kinematic branches on the basis of the traditional parallel mechanisms, or using screw theory to perform multiple getting intersection and union to ...
Yongquan Li, Yang Zhang, Lijie Zhang
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Quantum algorithm for Feynman loop integrals [PDF]
Journal of High Energy Physics, 2021 We present a novel benchmark application of a quantum algorithm to Feynman loop integrals. The two on-shell states of a Feynman propagator are identified with the two states of a qubit and a quantum algorithm is used to unfold the causal singular ...
S. Ramírez-Uribe +4 more
semanticscholar +1 more source
Scalar Matter Coupled to Quantum Gravity in the Causal Approach: Finite One-Loop Calculations and Perturbative Gauge Invariance [PDF]
, 1999 Quantum gravity coupled to scalar massive matter fields is investigated within the framework of causal perturbation theory. One-loop calculations include matter loop graviton self-energy and matter self-energy and yield ultraviolet finite and cutoff-free
't Hooft +20 more
core +2 more sources
Modular graph functions and odd cuspidal functions. Fourier and Poincaré series
Journal of High Energy Physics, 2019 Modular graph functions are SL(2, ℤ)-invariant functions associated with Feynman graphs of a two-dimensional conformal field theory on a torus of modulus τ. For one-loop graphs they reduce to real analytic Eisenstein series. We obtain the Fourier series,
Eric D’Hoker, Justin Kaidi
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Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
Journal of High Energy Physics, 2023 We develop an operator approach to the evaluation of multiple integrals for multiloop Feynman massless diagrams. A commutative family of graph building operators H α for ladder diagrams is constructed and investigated.
S. E. Derkachov +2 more
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