This paper considers a distributed nonsmooth resource allocation problem of minimizing a global convex function formed by a sum of local nonsmooth convex functions with coupled constraints.A distributed communication-...
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This paper considers a distributed nonsmooth resource allocation problem of minimizing a global convex function formed by a sum of local nonsmooth convex functions with coupled constraints.A distributed communication-efficient mirror-descent algorithm,which can reduce communication rounds between agents over the network,is designed for the distributed resource allocation *** employing communication-sliding methods,agents can find aε-solution in O(1/ε)communication rounds while maintaining O(1/ε^(2))subgradient evaluations for nonsmooth convex functions.A numerical example is also given to illustrate the effectiveness of the proposed algorithm.
THE development of agriculture faces significant challenges due to population growth, climate change, land depletion, and environmental pollution, threatening global food security [1]. This necessitates the developmen...
THE development of agriculture faces significant challenges due to population growth, climate change, land depletion, and environmental pollution, threatening global food security [1]. This necessitates the development of sustainable agriculture, where a fundamental step is crop breeding to improve agronomic or economic traits, e.g., increasing yields of crops while decreasing resource usage and minimizing pollution to the environment [2].
Unexpected delays in train operations can cause a cascade of negative consequences in a high-speed railway *** such cases,train timetables need to be ***,timely and efficient train timetable rescheduling is still a ch...
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Unexpected delays in train operations can cause a cascade of negative consequences in a high-speed railway *** such cases,train timetables need to be ***,timely and efficient train timetable rescheduling is still a challenging problem due to its modeling difficulties and low optimization *** paper presents a Transformer-based macroscopic regulation approach which consists of two stages including Transformer-based modeling and policy-based ***,the relationship between various train schedules and operations is described by creating a macroscopic model with the Transformer,providing the better understanding of overall operation in the high-speed railway ***,a policy-based approach is used to solve a continuous decision problem after macro-modeling for fast *** experiments on various delay scenarios are *** results demonstrate the effectiveness of the proposed method in comparison to other popular methods.
Quantum error correction codes protect quantum systems against environmental noise, enabling fault-tolerant quantum computing. Among various codes, color codes have received considerable attention for their geometric ...
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Regularized system identification is one of the major advances in the field of system identification in the last decade. One key issue is the hyper-parameter estimation, for which the generalized maximum likelihood (G...
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With the rapid development of Artificial Intelligence(AI),the game between human and machine/AI becomes more and more common and *** this paper we will investigate such infinitely repeated *** will study the optimal p...
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ISBN:
(数字)9789887581536
ISBN:
(纸本)9781665482561
With the rapid development of Artificial Intelligence(AI),the game between human and machine/AI becomes more and more common and *** this paper we will investigate such infinitely repeated *** will study the optimal play of the human given the machine/AI adopting the Fictitious Play(FP) for all different kinds of 2 × 2 games under the assumption of a payoff parameter being *** give the optimal strategy of human which is proven to lead the system into a cycle after finite *** results show that FP algorithm can be exploited easily and *** in this paper might shed some light on the result for more general and complicated situations.
The aim of this paper is to consider the convergence of the numerical methods for stochastic time-fractional evolution equations driven by fractional Brownian *** spatial and temporal regularity of the mild solution i...
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The aim of this paper is to consider the convergence of the numerical methods for stochastic time-fractional evolution equations driven by fractional Brownian *** spatial and temporal regularity of the mild solution is *** numerical scheme approximates the problem in space by the Galerkin finite element method and in time by the backward Euler convolution quadrature formula,and the noise by the L *** strong convergence error estimates for both semi-discrete and fully discrete schemes are established.A numerical example is presented to verify our theoretical analysis.
BIG models or foundation models are rapidly emerging as a key force in advancing intelligent societies[1]–[3]Their significance stems not only from their exceptional ability to process complex data and simulate advan...
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BIG models or foundation models are rapidly emerging as a key force in advancing intelligent societies[1]–[3]Their significance stems not only from their exceptional ability to process complex data and simulate advanced cognitive functions,but also from their potential to drive innovation across various industries.
The high-accuracy drag-free control is one of the key technologies for gravity gradient *** the range of the gravity gradiometer is limited, the measurement is subject to the saturation *** paper introduces a design m...
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The high-accuracy drag-free control is one of the key technologies for gravity gradient *** the range of the gravity gradiometer is limited, the measurement is subject to the saturation *** paper introduces a design method of the adaptive drag-free control law by employing the set-valued identification approach. By inserting several thresholds in the constrained interval, the output observation is transformed into the set-valued information under different thresholds, based on which and the weighted optimization technique the identification algorithm for the unknown parameter is constructed. The adaptive drag-free control law is designed via the certainty equivalence principle. It is shown that the identification algorithm is strongly convergent and the convergence rate of the estimation error is obtained. The performance of the closed-loop system is analyzed, and the asymptotic optimality of the adaptive controller is proved. The numerical simulation is included to verify the effectiveness of the main results.
Lattices in Euclidean spaces are important research objects in geometric number theory,and they have important applications in many areas,such as *** shortest vector problem(SVP)and the closest vector problem(CVP)are ...
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Lattices in Euclidean spaces are important research objects in geometric number theory,and they have important applications in many areas,such as *** shortest vector problem(SVP)and the closest vector problem(CVP)are two famous computational problems about *** this paper,we consider p-adic lattices in local fields,and define the p-adic analogues of SVP and CVP in local *** authors find that,in contrast with lattices in Euclidean spaces,the situation is different and *** SVP in Euclidean spaces corresponds to the Longest Vector Problem(LVP)in local *** authors develop relevant algorithms,indicating that these problems are computable.
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