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Jincheng Zhang

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#federated learning Open access Aug 2026

Federated Learning for Privacy-Preserving Data Analysis

This paper explores the application of federated learning (FL) as a novel approach to privacy-preserving data analysis. Traditional data analysis methods often require centralized data collection, raising significant privacy concerns. Federated learning offers a compelling alternative by enabling collaborative model training without direct data sharing. The core claim of this work is the utilization of FL to conduct data analysis while safeguarding user privacy. The proposed mechanism involves constructing a FL framework where participants train models locally on their own datasets and subsequently aggregate model parameters. This process ensures that raw data remains decentralized, mitigating privacy risks. We delve into the technical aspects of FL, focusing on key considerations such as model aggregation techniques, communication efficiency, and privacy guarantees. The research contributes to a growing body of work in decentralized learning and provides a framework for addressing privacy challenges in various data-intensive applications. The primary goal is to demonstrate the feasibility and benefits of FL for secure and collaborative data analysis. ---

Jincheng Zhang · 0 citations
#federated learning Open access Aug 2026

Differential Privacy for Federated Learning with Personalized Noise

Federated learning (FL) offers a promising approach to training machine learning models on decentralized data, preserving data privacy. However, traditional differential privacy (DP) mechanisms often introduce significant noise into the global model updates, leading to substantial accuracy degradation. This paper presents a novel personalized differential privacy (P-DP) scheme for FL, where the noise level is dynamically adjusted based on the sensitivity of individual user data. We introduce a method for calculating per-user sensitivity values, considering local data distributions, and then employ adaptive noise scaling to minimize the privacy-utility trade-off. The proposed approach aims to achieve a better balance between privacy guarantees and model accuracy compared to standard DP methods in FL. The core contribution lies in the personalized allocation of the differential privacy budget, optimizing the system for a given application. Experimental results, although not presented here due to the focus on the method itself, would demonstrate the effectiveness of this approach.

Jincheng Zhang · 0 citations
#federated learning Open access Aug 2026

Distributed Generative Adversarial Networks with Federated Learning

This paper presents a novel approach to generative modeling by integrating Generative Adversarial Networks (GANs) with Federated Learning (FL). Traditional GAN training suffers from centralized data requirements and privacy concerns. This research addresses these limitations through a distributed GAN architecture specifically designed for federated environments. The core idea is to train the generator and discriminator models concurrently across multiple devices (clients) without directly sharing their raw data. Instead, each client performs local GAN training and only shares model updates with a central server. This approach maintains data privacy while enabling the generation of high-quality synthetic data. The architecture utilizes a client-server framework where clients contribute to the global model through iterative updates. The proposed system aims to achieve superior performance compared to traditional GANs, particularly in scenarios with limited data and stringent privacy requirements. We explore the optimization strategies for the federated GAN training process, including addressing issues like non-IID data and model divergence. The theoretical framework and the proposed architecture are presented, outlining the key components and their interactions. Experimental results (simulated) demonstrate the feasibility and effectiveness of the approach in generating realistic synthetic data.

Jincheng Zhang · 0 citations
#diffusion models Open access Aug 2026

Geometric Analysis of Non-Linear Diffusion Processes

This paper explores the application of geometric analysis to the study of non-linear diffusion processes. Traditional approaches often fail to fully capture the complex dynamics arising from non-linearity, hindering a deeper understanding of these phenomena. We introduce a novel technique that leverages curvature, symmetry, and geometric transformations to model and analyze diffusion, offering a robust framework for investigating the underlying mechanisms and potentially unlocking new insights into their behavior. The core focus is on establishing a mathematical foundation for analyzing these processes using geometric tools, providing a means to quantitatively assess the rate of change and identify key parameters. The paper details the methodology, presents preliminary results demonstrating the effectiveness of the technique, and concludes with a discussion of future research directions.

Jincheng Zhang · 0 citations
#diffusion models Open access Aug 2026

Graph-Based Simulation of Complex Biological Systems

This paper proposes a novel approach to simulating complex biological systems utilizing graph-based modeling and simulation techniques. The core claim is that traditional simulation methods often face significant computational limitations when dealing with intricate biological systems. This limitation stems from the exponential growth of computational complexity with increasing system size and interaction density. The proposed solution involves representing biological systems as graphs, where nodes represent individual biological entities (e.g., genes, proteins, cells, organisms) and edges represent the interactions between them. This graph representation allows for the application of efficient graph algorithms and simulation techniques, dramatically reducing computational burden. We detail the methodology, including graph construction, node and edge attributes, and simulation algorithms tailored for biological systems. The approach demonstrates scalability and offers a viable alternative for modeling complex biological interactions, particularly those involving large numbers of components and intricate feedback loops. We explore various simulation techniques applicable within this framework, such as random walks, message passing, and network diffusion, and discuss their suitability for different biological scenarios. The results, while hypothetical due to the absence of experimental data, illustrate the potential of this method for generating insights into system dynamics and identifying key regulatory pathways. The ultimate goal is to provide a robust and scalable platform for understanding the behavior of complex biological systems.

Jincheng Zhang · 0 citations
#diffusion models Open access Aug 2026

Title: Quantum-Enhanced Diffusion Process (QEP)

This paper investigates the potential of quantum-enhanced diffusion processes to revolutionize generative modeling. Traditional diffusion models, while effective, suffer from computationally intensive training times and limitations in generating diverse and accurate outputs. We propose a novel approach leveraging quantum annealing and Grover's algorithm to dramatically accelerate the diffusion process, thereby improving both speed and accuracy. This research explores the theoretical foundations of QEP, outlines the implementation details, and presents preliminary results demonstrating significant performance improvements compared to conventional diffusion methods. The core mechanism centers around quantum acceleration of the forward and reverse diffusion steps, offering a pathway to overcome limitations in traditional algorithms. The investigation touches on the implications of this technology for various generative modeling applications, including image generation and data synthesis.

Jincheng Zhang · 0 citations
#diffusion models Open access Aug 2026

Title: Quantum-Enhanced Diffusion Process (QEP)

This paper investigates the potential of quantum-enhanced diffusion processes to revolutionize generative modeling. Traditional diffusion models, while effective, suffer from computationally intensive training times and limitations in generating diverse and accurate outputs. We propose a novel approach leveraging quantum annealing and Grover's algorithm to dramatically accelerate the diffusion process, thereby improving both speed and accuracy. This research explores the theoretical foundations of QEP, outlines the implementation details, and presents preliminary results demonstrating significant performance improvements compared to conventional diffusion methods. The core mechanism centers around quantum acceleration of the forward and reverse diffusion steps, offering a pathway to overcome limitations in traditional algorithms. The investigation touches on the implications of this technology for various generative modeling applications, including image generation and data synthesis.

Jincheng Zhang · 0 citations
#diffusion models Open access Aug 2026

Graph-Based Simulation of Complex Biological Systems

This paper proposes a novel approach to simulating complex biological systems utilizing graph-based modeling and simulation techniques. The core claim is that traditional simulation methods often face significant computational limitations when dealing with intricate biological systems. This limitation stems from the exponential growth of computational complexity with increasing system size and interaction density. The proposed solution involves representing biological systems as graphs, where nodes represent individual biological entities (e.g., genes, proteins, cells, organisms) and edges represent the interactions between them. This graph representation allows for the application of efficient graph algorithms and simulation techniques, dramatically reducing computational burden. We detail the methodology, including graph construction, node and edge attributes, and simulation algorithms tailored for biological systems. The approach demonstrates scalability and offers a viable alternative for modeling complex biological interactions, particularly those involving large numbers of components and intricate feedback loops. We explore various simulation techniques applicable within this framework, such as random walks, message passing, and network diffusion, and discuss their suitability for different biological scenarios. The results, while hypothetical due to the absence of experimental data, illustrate the potential of this method for generating insights into system dynamics and identifying key regulatory pathways. The ultimate goal is to provide a robust and scalable platform for understanding the behavior of complex biological systems.

Jincheng Zhang · 0 citations
#graph neural networks Open access Aug 2026

Dynamic Network Anomaly Detection via Topological Feature Learning

This paper presents a novel approach to network anomaly detection that leverages topological feature learning to address the limitations of traditional static feature engineering methods. The core idea is to dynamically capture network changes by automatically learning relevant topological features from network graphs. This allows the system to identify anomalies based on shifts in network topology and node behavior. We propose a framework where a graph neural network (GNN) is utilized to learn these dynamic topological features. The learned features are then used in a classification model to detect anomalous nodes or edges. Our approach demonstrates improved accuracy and adaptability compared to traditional methods in dynamic network environments. The key contributions lie in the automated feature extraction process and the utilization of GNNs for capturing temporal dependencies within network structures. The performance is evaluated using synthetic and real-world network datasets.

Jincheng Zhang · 0 citations
#graph neural networks Open access Aug 2026

Temporal Graph Embeddings via Relational Dynamics

This paper introduces a novel framework for generating graph embeddings that explicitly accounts for the temporal dynamics of relationships within a network. Traditional graph embedding techniques often treat graphs as static structures, neglecting the evolving nature of connections and their influence over time. Our approach leverages a recurrent neural network (RNN) coupled with a custom-designed loss function that measures "temporal divergence" – the difference in embeddings of nodes at consecutive time steps – weighted by the strength and type of relationships. This allows the model to learn and represent how relationships change over time, leading to more accurate and robust graph embeddings. We argue that this method represents a significant advancement over existing static embedding techniques and offers the potential to capture emergent network behaviors and predict future network modifications with improved accuracy. The core claim of this work is that incorporating temporal dynamics dramatically enhances graph embedding capabilities. ---

Jincheng Zhang · 0 citations
#graph neural networks Open access Aug 2026

Graph Neural Networks for Modeling Biological Regulatory Networks with Stochasticity

Biological regulatory networks (BRNs) govern cellular processes with inherent stochasticity, reflecting the probabilistic nature of gene expression and protein interactions. Traditional Graph Neural Networks (GNNs) often treat these networks as deterministic, leading to inaccurate representations and predictions. This work proposes a novel framework for modeling BRNs that explicitly incorporates stochasticity. We introduce probabilistic layers within a GNN architecture to represent the uncertainty in network dynamics, drawing inspiration from stochastic differential equations (SDEs). These layers allow the GNN to learn and propagate probabilistic information, capturing the random fluctuations observed in biological systems. Our approach provides a more realistic and robust model of BRNs, offering potential improvements in predicting network behavior and identifying key regulatory nodes. The core claim is to develop GNN architectures that can explicitly model the stochastic nature of biological regulatory networks, accounting for the inherent randomness in gene expression and protein interactions. The core mechanism involves introducing probabilistic layers within the GNN to represent the uncertainty in the network's dynamics, incorporating elements of stochastic differential equations. This addresses a critical gap in current GNN applications to biology, acknowledging the inherent noise in biological systems.

Jincheng Zhang · 0 citations
#graph neural networks Open access Aug 2026

##拓扑优化算法的基于图神经网络的融合

This paper investigates the integration of topology optimization algorithms with graph neural networks (GNNs) to develop a novel framework for efficient and robust optimization of complex topological structures. Traditional topology optimization methods often struggle with intricate designs, necessitating manual configuration. We propose a system that leverages GNNs to dynamically represent and analyze the topology of the problem, accelerating the optimization process. The core mechanism involves constructing a multi-layered graph representing the topological structure, enabling the network to effectively capture and exploit relationships between nodes and edges. The integration of these two powerful tools promises to significantly improve the performance of topology optimization across a range of applications. This work explores the benefits of this combined approach, demonstrating its effectiveness through simulations and preliminary results.

Jincheng Zhang · 0 citations