引言

• 分治算法的基本概念及其在并行计算中的重要性
• 并行架构（如多核CPU、GPU、分布式系统）对分治算法性能的影响
• 性能预测模型的必要性及其应用场景

分治算法的并行化特性分析

• 分治算法的递归与任务分解特性
• 并行任务粒度对性能的影响
• 数据依赖性与通信开销分析

并行架构下的性能影响因素

• 计算资源（核心数、内存带宽）的约束
• 任务调度与负载均衡问题
• 同步与通信开销的建模

性能预测模型构建方法

• 基于计算复杂度的理论模型（如Work-Span模型）
• 基于机器学习的黑盒预测方法
• 混合模型结合理论分析与实测数据

实验验证与案例分析

• 典型分治算法（如快速排序、归并排序、矩阵乘法）的并行性能测试
• 不同并行架构（CPU多线程、GPU、集群）下的模型适用性分析
• 预测误差与实际性能的对比

优化策略与改进方向

• 动态任务调度与自适应负载均衡
• 减少通信开销的算法改进
• 模型参数的在线调整方法

结论与未来展望

• 当前模型的局限性
• 分治算法在新型并行硬件（如量子计算、神经形态计算）中的潜力
• 性能预测模型的扩展研究方向

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