Stable Coexistence in Ecologies and Games
研究通过扩展Lotka-Volterra模型解决生态系统中物种稳定共存问题，并探讨了高阶互动对实现稳定均衡的作用。
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A meshfree solver for coupled bulk-surface problems with self-organizing surface geometry
本文提出了一种无网格数值求解器，用于解决具有自组织表面几何的可变形界面与周围流体耦合的问题，通过隐式跟踪表面并求解应力平衡。
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Solving the Incompressible Navier-Stokes Equations on Oriented Curved Surfaces Discretized by Point Clouds
本文提出了一种基于点云的无网格数值求解器，用于解决曲面上不可压缩Navier-Stokes方程问题，通过局部施加近似可压缩性条件来避免全局矩阵求逆。
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Integrated Information in the Active Inference Framework
This study addresses the lack of quantitative measures for conscious information integration within the active inference framework by integrating Integrated Information Theory with generative models. We propose a novel metric for integrated information grounded in structural hypotheses. Through generative modeling and simulation experiments, we demonstrate a significant positive correlation between this metric and free energy, which strengthens as model scale increases. This work bridges a critical gap in quantifying consciousness within active inference, revealing intrinsic relationships among model complexity, information integration, and free energy. Consequently, it provides new theoretical foundations and quantitative tools for understanding the emergence of consciousness in intelligent agents, thereby advancing the computational characterization of conscious processing in artificial systems.
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Ollivier's Ricci Curvature on Complex-weighted Graphs
Existing discrete Ricci curvature methods struggle to handle networks with directionality and complex-valued weights, limiting their applicability in domains such as social, biological, and quantum systems. This work presents the first extension of Ollivier–Ricci curvature to complex-weighted graphs—encompassing directed graphs as a special case—and establishes a theoretical connection between this curvature and the magnetic Laplacian. By leveraging local neighborhood cycle structures, we derive rigorous upper and lower bounds for the curvature. Integrating optimal transport theory, combinatorial graph theory, and numerical optimization, we introduce the first well-defined Ollivier curvature for complex-weighted graphs, thereby unifying the treatment of directed edges and complex weights. The proposed curvature estimation algorithm demonstrates strong empirical performance and practical utility in community detection tasks on directed networks.
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Stable Coexistence in Ecologies and Games
研究通过扩展Lotka-Volterra模型解决生态系统中物种稳定共存问题，并探讨了高阶互动对实现稳定均衡的作用。
0 citationsRead paper
A meshfree solver for coupled bulk-surface problems with self-organizing surface geometry
本文提出了一种无网格数值求解器，用于解决具有自组织表面几何的可变形界面与周围流体耦合的问题，通过隐式跟踪表面并求解应力平衡。
0 citationsRead paper
Solving the Incompressible Navier-Stokes Equations on Oriented Curved Surfaces Discretized by Point Clouds
本文提出了一种基于点云的无网格数值求解器，用于解决曲面上不可压缩Navier-Stokes方程问题，通过局部施加近似可压缩性条件来避免全局矩阵求逆。
0 citationsRead paper
Integrated Information in the Active Inference Framework
This study addresses the lack of quantitative measures for conscious information integration within the active inference framework by integrating Integrated Information Theory with generative models. We propose a novel metric for integrated information grounded in structural hypotheses. Through generative modeling and simulation experiments, we demonstrate a significant positive correlation between this metric and free energy, which strengthens as model scale increases. This work bridges a critical gap in quantifying consciousness within active inference, revealing intrinsic relationships among model complexity, information integration, and free energy. Consequently, it provides new theoretical foundations and quantitative tools for understanding the emergence of consciousness in intelligent agents, thereby advancing the computational characterization of conscious processing in artificial systems.
0 citationsRead paper
Ollivier's Ricci Curvature on Complex-weighted Graphs
Existing discrete Ricci curvature methods struggle to handle networks with directionality and complex-valued weights, limiting their applicability in domains such as social, biological, and quantum systems. This work presents the first extension of Ollivier–Ricci curvature to complex-weighted graphs—encompassing directed graphs as a special case—and establishes a theoretical connection between this curvature and the magnetic Laplacian. By leveraging local neighborhood cycle structures, we derive rigorous upper and lower bounds for the curvature. Integrating optimal transport theory, combinatorial graph theory, and numerical optimization, we introduce the first well-defined Ollivier curvature for complex-weighted graphs, thereby unifying the treatment of directed edges and complex weights. The proposed curvature estimation algorithm demonstrates strong empirical performance and practical utility in community detection tasks on directed networks.
0 citationsRead paper