Showing 25 of 25 papers

Topological Fluctuation Series - 05 - The Nature of Black Holes

Yang Liu
2025-12-09 ChinaXiv: chinaxiv-202512.00051

Based on the general principles of "Zong Yi Ning Qi" (宗漪凝契)—specifically the core framework of "topology as the root, wave as the soul, and the three identities across three realms"—this paper focuses on black holes as extreme spacetime celestial bodies to construct a unified mathematical model of "…

A Unified Information Theory of Subjective Cognition

Jian-Sheng Kang, Jian-Sheng Kang
2025-09-22 ChinaXiv: chinaxiv-202509.00067 Original EN

Consciousness is considered the most challenging problem in the science of the mind, especially Chalmers' hard problem. From the standpoint of systems science philosophy, many consciousness theories overlook the structure-function correlation principle, thereby reducing their explanatory power regar…

AI4Games: A General Strategy Search Framework for Evolutionary Games

Wang Hongyu, Wang Long, Wang Long
2025-08-29 ChinaXiv: chinaxiv-202508.00255 Mixed Source

Systematically excavating strategies with long-term evolutionary advantages in multi-agent systems constitutes a pivotal challenge in evolutionary game theory, complex systems science, and artificial intelligence research. This paper proposes and implements a unified strategy search framework—AI4Gam…

An Image Noise Level Estimation Based on Tensor T-Product

Hanxin Liu, Yisheng Song, Yisheng Song
2025-07-31 ChinaXiv: chinaxiv-202508.00169 Original EN

The image noise level indicates the degree to which an image is contaminated by noise, serving as a crucial parameter in image processing. For the third-order tensor corresponding to a color image, traditional methods for estimating the noise level disrupt the data structure of the tensor. To addres…

A Nonparallel Support Tensor Machine for Binary Classification Based on Large Margin Distribution and Iterative Optimization

Du Zhuolin, Song Yisheng, Song Yisheng
2025-07-17 ChinaXiv: chinaxiv-202507.00342 Original EN

Based on the tensor-based large margin distribution and the nonparallel support tensor machine, we establish a novel classifier for binary classification problem in this paper, termed the Large Margin Distribution based NonParallel Support Tensor Machine (LDM-NPSTM). The proposed classifier has the …

Graphs without repeated cycle lengths postprint

ChunhuiLAI
2025-07-09 ChinaXiv: chinaxiv-202507.00210 Mixed Source

In 1975, P. Erd\"{o}s proposed the problem of determining themaximum number $f(n)$ of edges in a graph of $n$ vertices inwhich any two cycles are of different lengths. In this paper, it is proved that $$f(n)\geq n+36t$$ for $t=1260r+169 \,\ (r\geq 1)$ and $n \geq 540t^{2}+\frac{175811}{2}t+\frac{798…

How does the smart pension policy promote economic development? Based on evidence at provincial level in China

Zhetong Li, Yanshuo Huang, Xiaoxian Pang, Qian Chen, Ling She, Zhetong Li, Yanshuo Huang
2025-07-03 ChinaXiv: chinaxiv-202506.00295 Mixed Source

According to data from the National Bureau of Statistics, as of 2023, China's elderly population aged 60 and above has exceeded 296 million, accounting for 21.1% of the total population. This figure underscores the severity of population aging in China. Against this macro backdrop, traditional elder…

Multiple Intervention Effects and ARIMAX Forecasting: An Application of a World Bank Project in China

SHI Hao, SHI Hao
2025-06-28 ChinaXiv: chinaxiv-202507.00030 Original EN

In alignment with China’s national strategic plan, Zhejiang Province officially launched the World Bank-financed "Zhejiang Qiandao Lake and Xin’an River Basin Water Resources and Ecological Environment Protection Project" in November 2018. This paper uses an ARIMAX INTERVENTION model to quantitative…

Auto Insurance Actuarial Rating System and Related Risks under a Broadly Generalized Nonlinear Framework

Sun Huanyu, Xie Yuantao
2025-06-12 ChinaXiv: chinaxiv-202506.00059 Mixed Source

Vehicle insurance pricing, as one of the core issues in actuarial science, impacts the profitability and capital liquidity of insurance companies. This literature review briefly elaborates on the development of motor insurance across different regions and discusses historical research related to mot…

Text Distance from Nested and Hierarchical Repetitions: A Compression-Based Perspective

Xiaojun Hu, Yu Liu, Yu Liu
2025-06-11 ChinaXiv: chinaxiv-202506.00060 Original EN

We present a new method for structural sequence analysis grounded in Algorithmic Information Theory (AIT). At its core is the Ladderpath approach, which extracts nested and hierarchical relationships among repeated substructures in linguistic sequences---an instantiation of AIT’s principle of descri…

Stability and Hopf bifurcation analysis of fractional double-delay prey-predator model under PD control strategies

Yan Zhou, Zhuang Cui, Wei Zhang, Ruimei Li, Yan Zhou, Ruimei Li
2025-06-09 ChinaXiv: chinaxiv-202506.00063 Original EN

A fractional-order proportional-derivative controller is designed to address bifurcation issues in a dual-time-delay fractional-order predator-prey model. By selecting different delays as bifurcation parameters, the stability and Hopf bifurcation conditions of the controlled system are derived. The …

Digital Transformation and Carbon Emission Reduction in Construction Enterprises: Evidence from Listed Companies

Zhao Sanglin, Zhao Sanglin
2025-05-30 ChinaXiv: chinaxiv-202506.00008

As a key sector of energy consumption and carbon emissions, the construction industry's carbon reduction initiatives hold significant strategic importance for achieving the "dual carbon" goals. Based on data from Chinese listed construction enterprises from 2000 to 2021, this study empirically inves…

OpenPFEM: A Finite Element Software Platform Based on Distributed Mesh Parallel Communication

Liao Yangfei, Liu Haochen, Guan Zhijin, Xie Hehu, Liu Haochen
2025-05-30 ChinaXiv: chinaxiv-202506.00011 Mixed Source

OpenPFEM is a parallel finite element computing platform developed in C, designed for large-scale parallel finite element computations on high-performance computers. This paper introduces the fundamental architecture of OpenPFEM, with particular emphasis on our parallel data communication scheme bas…

Besov Estimates for Sub-elliptic Equations in the Heisenberg Group

Feng Zhou, Huimin Cheng, Feng Zhou
2024-02-22 ChinaXiv: chinaxiv-202402.00211

This paper studies the regularity of weak solutions to non-degenerate divergence form subelliptic equations on the Heisenberg group. Based on more general assumptions on the coefficient matrix, this paper establishes, for both homogeneous and inhomogeneous cases, horizontal Calderón-Zygmund estimate…

A study of trends in tennis matches

Ma Yihan, Liu Wenyu, Li Junjie
2024-02-20 ChinaXiv: chinaxiv-202402.00210

This study aims to accurately predict shifts in match trends and trajectories by analyzing match flow. To capture match flow, we first defined an A-value and developed a decision tree model. Furthermore, we constructed a nonlinear autoregressive neural network to implement predictive functionality. …

Non-uniform Berry-Esseen Estimates for Supercritical Branching Processes in Random Environments

Fan Xiequan, Wu Hao, Ye Yinna, Ye Yinna
2022-05-12 ChinaXiv: chinaxiv-202205.00042

Let $Z_n$ be a supercritical branching process in an i.i.d. environment. In this paper, we obtain two non-uniform Berry-Esseen bounds for $Z_n$. This result extends the Berry-Esseen bound of Grama et al. [Stochastic,Process.,Appl.,127(4),1255-1281,2017] to the non-uniform case. Finally, we discuss a…

Variable Volatility Elasticity Model for Commodity Markets

Gong, Fuzhou, Wang, Ting, Wang, Ting
2022-03-30 ChinaXiv: chinaxiv-202203.00120

In this paper, we propose and study a novel continuous-time model, based on the well-known constant elasticity of variance (CEV) model, to describe the asset price process. The basic idea is that the volatility elasticity of the CEV model cannot be treated as a constant from the perspective of stoch…

The Silver Ratio in the Maximum Deng Entropy Triangle

Deng, Jixiang, Deng, Yong, Deng, Yong
2022-03-18 ChinaXiv: chinaxiv-202203.00069

Pascal's triangle is the triangular arrangement of binomial coefficients, from which one can obtain the Fibonacci sequence and the golden ratio (approximately 1.618). A question arises: Can the silver ratio (approximately 2.414) be obtained from Pascal's triangle? This paper first establishes a Maxi…

Statistical Study on the Impact of the 24 Solar Terms on Shanghai Composite Index Returns

Tianbao ZHOU, Xinghao Li, Junguang ZHAO, Junguang ZHAO
2022-03-04 ChinaXiv: chinaxiv-202203.00018

This study examines the impact of the twenty-four solar terms—a unique traditional Chinese system for dividing the annual seasons—on the Chinese stock index. Based on 26 years of historical data, the statistical analysis investigates whether the daily returns of the Shanghai Composite Index exhibit …