Mingxi Wang

Anhui Jianzhu University

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Chengshan Xiao

Lehigh University

Weiliang Zeng

Guangdong University of Technology

Shouyang Wang

Chinese Academy of Sciences

Ming‐Rong Wang

Chinese Academy of Medical Sciences & Peking Union Medical College

Jianhua Lü

Tsinghua University

Yi Hu

University of Chinese Academy of Sciences

Yahong Rosa Zheng

Lehigh University

Chuangyin Dang

City University of Hong Kong

Yang Qu

China Agricultural University

Shulin Liu

Wuhan University of Technology

Cooperative Institutions

Chinese Academy of Sciences

Academy of Mathematics and Systems Science

Centre National de la Recherche Scientifique

University of Electronic Science and Technology of China

Institute of Mathematics

National Academy of Sciences of Belarus

Far Eastern Branch of the Russian Academy of Sciences

University of International Business and Economics

University of Chinese Academy of Sciences

Shanghai Jiao Tong University

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Linear Precoding for MIMO Multiple Access Channels with Discrete-Constellation Inputs

Mingxi Wang Weiliang Zeng Chengshan Xiao

In this paper, we study linear precoding for multiple-input multiple-output (MIMO) multiple access channels (MAC) with discrete-constellation inputs. We derive the constellation-constrained capacity region for the MIMO MAC with an arbitrary number of users. Due to the non-concavity of the objective function, we obtain the necessary conditions for the weighted sum rate (WSR) maximization problem through Karush-Kuhn-Tucker (KKT) analysis. To find the optimal precoding matrices, we propose an iterative algorithm utilizing alternating optimization strategy and gradient descent update. Numerical results show that when inputs are digital modulated signals and the signal-to-noise ratio (SNR) is in the medium range, our proposed algorithm offers significantly higher sum rate than non-precoding and the traditional method which maximizes Gaussian-input sum capacity. Furthermore, the bit error rate (BER) results of a low-density parity-check (LDPC) coded system also indicate that the system with the proposed linear precoder achieves significant gains over other methods.

Karush–Kuhn–Tucker conditions

Zero-forcing precoding

Maximization

10.1109/glocom.2011.6133857

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Citations (3)

The Option Pricing Model Based on Time Values: An Application of the Universal Approximation Theory on Unbounded Domains

2022 International Joint Conference on Neural Networks (IJCNN) (2021)

Yang Qu Mingxi Wang

We propose a time value related decision function to treat a classical option pricing problem raised by Hutchinson-Lo-Poggio. In numerical experiments, the new decision function significantly improves the original model of Hutchinson-Lo-Poggio with faster convergence and better generalization performance. By proving a novel universal approximation theorem, we show that our decision function rather than Hutchinson-Lo-Poggio's can be approximated on the entire domain of definition by neural networks. Thus the experimental results are partially explained by the representation properties of networks.

Representation

Value (mathematics)

Function Approximation

10.1109/ijcnn52387.2021.9533740

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Citations (2)

Linear Precoding for Relay Networks: A Perspective on Finite-Alphabet Inputs

IEEE Transactions on Wireless Communications (2012)

Weiliang Zeng Yahong Rosa Zheng Mingxi Wang Jianhua Lü

This paper considers the precoder design for dual-hop amplify-and-forward relay networks and formulates the design from the standpoint of finite-alphabet inputs. In particular, the mutual information is employed as the utility function, which, however, results in a nonlinear and nonconcave problem. This paper exploits the structure of the optimal precoder that maximizes the mutual information and develops a two-step algorithm based on convex optimization and optimization on the Stiefel manifold. By doing so, the proposed algorithm is insensitive to initial point selection and able to achieve a near global optimal precoder solution. Besides, it converges fast and offers high mutual information gain. These advantages are verified by numerical examples, which also show the large performance gain in mutual information also represents the large gain in the coded bit-error rate.

Stiefel manifold

10.1109/twc.2012.012412.110747

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Citations (20)

A Pareto Optimal Auction Mechanism for Carbon Emission Rights

Mathematical Problems in Engineering (2014)

Mingxi Wang Ming‐Rong Wang Chuangyin Dang Shouyang Wang

The carbon emission rights do not fit well into the framework of existing multi-item auction mechanisms because of their own unique features. This paper proposes a new auction mechanism which converges to a unique Pareto optimal equilibrium in a finite number of periods. In the proposed auction mechanism, the assignment outcome is Pareto efficient and the carbon emission rights’ resources are efficiently used. For commercial application and theoretical completeness, both discrete and continuous markets—represented by discrete and continuous bid prices, respectively—are examined, and the results show the existence of a Pareto optimal equilibrium under the constraint of individual rationality. With no ties, the Pareto optimal equilibrium can be further proven to be unique.

Auction algorithm

Pareto efficiency

Pareto optimal

10.1155/2014/438104

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Citations (5)

AN ANALYSIS FOR THE EFFECT OF CARBON TARIFF ON DEVELOPING COUNTRIES' ECONOMY AND RESPONSE

Xitong kexue yu shuxue (2011)

Mingxi Wang Rongming Wang Shouyang Wang

Market Segmentation

10.12341/jssms09454

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Citations (1)

The Relationship between Energy Consumption and Economic Growth: Evidence from China’s Industrial Sectors

Energies (2015)

Yi Hu Dongmei Guo Mingxi Wang Xi Zhang Shouyang Wang

In this article, the relationship between energy consumption and economic growth is examined from the viewpoint of China’s industrial sectors. Panel data from 37 industrial sectors in China covering the period from 1998 to 2010 was used in this study. Not only first generation panel unit root tests and panel cointegration tests, but also second generation tests that account for dependence between cross-sectional units were employed. The empirical results reveal that both energy consumption and economic growth are integrated as order one, and they are cointegrated. Panel fully modified ordinary least squares estimators show that a 1% increase in energy consumption increases the real value added of industrial sectors by 0.871%, and a 1% increase in real value added of industrial sectors increases energy consumption by 1.103%. The panel vector error correction models for causality tests are estimated by a system generalized moment method. We find a unidirectional causal relation running from economic growth to energy consumption in the shortrun. In the long run, however, there is evidence of a unidirectional causality running from energy consumption to economic growth.

Consumption

Causality

Ordinary least squares

10.3390/en8099392

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Citations (46)

A dynamical Mordell-Lang property on the disk

Transactions of the American Mathematical Society (2015)

Mingxi Wang

We prove that two finite endomorphisms of the unit disk with degree at least two have orbits with infinite intersections if and only if they have a common iterate.

Unit disk

Degree (music)

10.1090/tran/6775

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Citations (4)

Linear Precoding for Relay Networks with Finite-Alphabet Constraints

Weiliang Zeng Chengshan Xiao Mingxi Wang Jianhua Lü

In this paper, we investigate the optimal precoding scheme for relay networks with finite-alphabet constraints. We show that the previous work utilizing various design criteria to maximize either the diversity order or the transmission rate with the Gaussian-input assumption may lead to significant loss for a practical system with finite constellation set constraint. A linear precoding scheme is proposed to maximize the mutual information for relay networks. We exploit the structure of the optimal precoding matrix and develop a unified two-step iterative algorithm utilizing the theory of convex optimization and optimization on the complex Stiefel manifold. Numerical examples show that this novel iterative algorithm achieves significant gains compared to its conventional counterpart.

10.1109/icc.2011.5962566

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Citations (6)

Do Spatial Spillover Effects of Nonperforming Loans for Commercial Banks Exist? Evidence from Chinese Provinces

Emerging Markets Finance and Trade (2017)

Xi Zhang Dongmei Guo Yi Xiao Mingxi Wang

In this article, the spatial spillover effects of nonperforming loans in commercial banks are investigated based on Chinese provinces. Panel data from 31 provinces in China covering the period from 2005 to 2014 are used in this study. First, we employ Moran's I statistic to describe the empirical evidence for the presence of spatial dependencies in provincial nonperforming loans ratio (NPLR) after checking the stationarity of the data by the second-generation panel unit root tests. Then we construct the spatial panel data model through a set of model specification tests, and calculate the direct and indirect effects of the explanatory variables. The empirical results show that the spatial spillover effect plays a significant role in regional nonperforming loans. Furthermore, the growth rate of the gross domestic product and the unemployment rate are two important factors in the transmission of nonperforming loans among the regions.

Spillover effect

Statistic

10.1080/1540496x.2017.1280668

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Citations (9)

Equilibrium bids in practical multi-attribute auctions

Economics Letters (2014)

Mingxi Wang Shulin Liu

Symmetric equilibrium

Sequential equilibrium

10.1016/j.econlet.2014.03.021

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Citations (18)