• 中国精品科技期刊
  • CCF推荐A类中文期刊
  • 计算领域高质量科技期刊T1类
Advanced Search
Lai Yuanming, Li Yalong, Hu Hanzhi, Xie Mengyao, Wang Zhe, Wu Chenggang. Optimizing Cross-Architecture Programming Model Adaptation in SIMD-to-RVV Dynamic Binary Translation[J]. Journal of Computer Research and Development. DOI: 10.7544/issn1000-1239.202550135
Citation: Lai Yuanming, Li Yalong, Hu Hanzhi, Xie Mengyao, Wang Zhe, Wu Chenggang. Optimizing Cross-Architecture Programming Model Adaptation in SIMD-to-RVV Dynamic Binary Translation[J]. Journal of Computer Research and Development. DOI: 10.7544/issn1000-1239.202550135

Optimizing Cross-Architecture Programming Model Adaptation in SIMD-to-RVV Dynamic Binary Translation

More Information
  • Author Bio:

    Lai Yuanming: born in 1991. PhD candidate. His main research interests include binary translation, computer systems security, and code obfuscation

    Li Yalong: born in 2000. Master candidate. His main research interests include binary translation optimization and RISC-V architecture. (li2542369686@163.com)

    Hu Hanzhi: born in 1999. Master candidate. His main research interests include binary translator optimization and compiler optimization. (huhanzhi22s@ict.ac.cn)

    Xie Mengyao: born in 1992. PhD, associate professor, master supervisor. Her main research interests include computer system architecture and system security

    Wang Zhe: born in 1990. PhD, associate professor, master supervisor. Member of CCF. His main research interests include computer systems security, operating systems, and computer architecture

    Wu Chenggang: born in 1969. PhD, professor, PhD supervisor. Distinguished member of CCF. His main research interests include binary translation, compiler optimization, and computer systems security. (wucg@ict.ac.cn)

  • Received Date: February 28, 2025
  • Revised Date: April 08, 2025
  • Available Online: April 16, 2025
  • RISC-V, renowned for its open-source nature and modular design, has achieved remarkable success in embedded systems and is progressively expanding into the high-performance computing (HPC) domain. While RISC-V hardware tailored for HPC, such as the Sophon SG2042 multi-core processors, has demonstrated performance comparable to x86/ARM counterparts, its underdeveloped software ecosystem remains a critical barrier to broader adoption. To address this challenge, we develop RVBT, a process-level dynamic binary translator for RISC-V, designed to bridge the software gap by efficiently porting the mature x86 ecosystem to RISC-V platforms, thereby accelerating RISC-V’s integration into HPC applications. Focusing on the pervasive use of SIMD instructions in HPC programs, we tackle the inefficiencies arising from fundamental differences in programming models between x86 SIMD and RISC-V vector (RVV) extensions. Specifically, x86 SIMD hardcodes data types within opcodes, whereas RVV dynamically configures vtype and mask registers, leading to redundant operations during direct translation. To overcome this, we propose three innovative optimizations to achieve: 1) Redundancy elimination via data type locality. By leveraging the locality of data types in adjacent SIMD operations, we statically analyze and remove redundant configurations of vtype (achieving 100% dynamic elimination rates for csrr and vsetvl, and 56.31% for vsetvli) and mask settings (74.66% elimination rate in floating-point benchmarks). 2) Hybrid translation with on-demand synchronization. We decouple scalar and vectorized floating-point operations, translating x86 SIMD scalar double-precision instructions to RISC-V’s floating-point extensions and reserving RVV for vectorized operations. Data synchronization between scalar and vector registers is optimized through def-use analysis, achieving a 67.35% dynamic synchronization reduction in floating-point benchmarks. Experimental results on SPEC CPU 2006 demonstrate significant improvements on the optimized RVBT, achieving 47.39% and 40.06% of native execution efficiency for integer and floating-point benchmarks, respectively, representing speedups of 1.21 times and 8.31 times over the unoptimized version. RVBT vastly outperforms QEMU (18.84% and 4.81% for integer and floating-point), with floating-point efficiency surpassing QEMU by 8.33 times, highlighting its potential for deployment in specific HPC scenarios. Crucially, these optimizations are architecture-agnostic: The methodology of exploiting data type locality, hybrid instruction translation, and adaptive synchronization apply equally to ARM SIMD (e.g., NEON) to RVV translation, offering a universal framework for cross-ISA binary compatibility. This work provides a pivotal technical foundation for breaking the software ecosystem deadlock and advancing RISC-V’s role in HPC.

  • [1]
    Waterman A, Lee Y, Patterson D A, et al. The RISC-V instruction set manual, volume I: user-level ISA, version 2.0[EB]. EECS Department, University of California, Berkeley, Tech. Rep. UCB/EECS−2014−54, 2014: 4
    [2]
    Li Chunqiang, Liu Zhiwei, Shang Yunhai, et al. A hardware non-invasive mapping method for condition bits in binary translation[J]. Electronics, 2023, 12(14): 3014 doi: 10.3390/electronics12143014
    [3]
    RISC-V International. There will be 62.4 billion RISC-V processor cores in operation by 2025[EB/OL]. (2020-04-02)[2024-11-12]. https://riscv.org/ecosystem-news/2020/04/there-will-be-62-4-billion-risc-v-processor-cores-in-operation-by-2025-francois-gauthier-lembarque
    [4]
    Weaver D, McIntosh-Smith S. An empirical comparison of the RISC-V and AArch64 instruction sets[C]//Proc of the SC’23 Workshops of the Int Conf on High Performance Computing, Network, Storage, and Analysis. New York: ACM, 2023: 1557−1565
    [5]
    Xi Wang, Leidel J D, Williams B, et al. Xbgas: A global address space extension on RISC-V for high performance computing[C]//Proc of 2021 IEEE Int Parallel and Distributed Processing Symp (IPDPS). Piscataway, NJ: IEEE, 2021: 454−463
    [6]
    Perez B, Fell A, Davis J D. Coyote: An open source simulation tool to enable RISC-V in HPC[C]//Proc of 2021 Design, Automation & Test in Europe Conf & Exhibition (DATE). Piscataway, NJ: IEEE, 2021: 130−135
    [7]
    Bartolini A, Ficarelli F, Parisi E, et al. Monte Cimone: Paving the road for the first generation of RISC-V high-performance computers[C]//Proc of 2022 IEEE 35th Int System-on-Chip Conf (SOCC). Piscataway, NJ: IEEE, 2022: 1−6
    [8]
    Chen Chen, Xiang Xiaoyan, Liu Chang, et al. Xuantie−910: A commercial multi-core 12-stage pipeline out-of-order 64-bit high performance RISC-V processor with vector extension: Industrial product[C]//Proc of 2020 ACM/IEEE 47th Annual Int Symp on Computer Architecture (ISCA). Piscataway, NJ: IEEE, 2020: 52−64
    [9]
    Brown N, Jamieson M. Performance characterisation of the 64-core SG2042 RISC-V CPU for HPC[C]//Proc of Int Conf on High Performance Computing. Berlin: Springer, 2025: 354−367
    [10]
    北京开源芯片研究院. 2024中关村论坛10项重大科技成果——第三代“香山”开源高性能RISC-V处理器核对外发布. [EB/OL]. (2024-04-25)[2024-11-12]. https://www.bosc.ac.cn/newsinfo/7105467.html?templateId=564439
    [11]
    Brown N, Jamieson M, Lee J, et al. Is RISC-V ready for HPC prime-time: Evaluating the 64-core Sophon SG2042 RISC-V CPU[C]//Proc of the SC’23 Workshops of the Int Conf on High Performance Computing, Network, Storage, and Analysis. New York: ACM, 2023: 1566−1574
    [12]
    Sophon. Milk-V pioneer board. [EB/OL]. [2024-11-12]. https://sophon-static.sophon.cn/product/introduce/pioneerBoard.html
    [13]
    Xuantie. 如意BOOK甲辰版. [EB/OL]. [2024-11-12]. https://www.xrvm.cn/product/xuantie/4321312678808195072
    [14]
    Dakić V, Mršić L, Kunić Z, et al. Evaluating ARM and RISC-V architectures for high-performance computing with docker and kubernetes[J]. Electronics, 2024, 13(17): 3494 doi: 10.3390/electronics13173494
    [15]
    Canal R, Carlo S D, Gizopoulos D, et al. Vitamin-V: Expanding open-source RISC-V cloud environments[J]. arXiv preprint, arXiv: 2407.00052, 2024
    [16]
    Canal R, Chenet C, Arelakis A, et al. Vitamin-V: Virtual environment and tool-boxing for trustworthy development of RISC-V based cloud services[C]//Proc of the 26th Euromicro Conf on Digital System Design (DSD). Piscataway, NJ: IEEE, 2023: 302−308
    [17]
    Nick Brown. RISC-V for HPC: Where we are and where we need to go[J]. arXiv preprint, arXiv: 2406.12398, 2024
    [18]
    Saidova J. RISC-V architecture and its role in the near future[J]. Journal of Advanced Scientific Research, 2024, 5(9): 54−67
    [19]
    陈龙,武成岗,谢海斌,等. 二进制翻译中解析多目标分支语句的图匹配方法[J]. 计算机研究与发展,2008,45(10):1789−1798

    Chen Long, Wu Chenggang, Xie Haibin, et al. Graph matching method for parsing multi-target branching sentences in binary translation[J]. Journal of Computer Research and Development, 2008, 45(10): 1789−1798 (in Chinese)
    [20]
    杨浩,唐锋,谢海斌,等. 二进制翻译中的库函数处理[J]. 计算机研究与发展,2006,43(12):2174−2179

    Yang Hao, Tang Feng, Xie Haibin, et al. Library function processing in binary translation[J]. Journal of Computer Research and Development, 2006, 43(12): 2174−2179 (in Chinese)
    [21]
    唐锋,武成岗,张兆庆,等. 二进制翻译应用级异常处理[J]. 计算机研究与发展,2006,43(12):2166−2173

    Tang Feng, Wu Chenggang, Zhang Zhaoqing, et al. Binary translation application level exception handling[J]. Journal of Computer Research and Development, 2006, 43(12): 2166−2173 (in Chinese)
    [22]
    谢汶兵,田雪,漆锋滨,等. 二进制翻译技术综述[J]. 软件学报,2024,35(6):2687−2723

    Xie Wenbing, Tian Xue, Qi Fengbin, et al. A review of binary translation technology[J]. Jouinal of Software, 2024, 35(6): 2687−2723 (in Chinese)
    [23]
    Li Jianjun, Wu Chenggang, Wei-Chung H. Efficient and effective misaligned data access handling in a dynamic binary translation system[J]. ACM Transactions on Architecture and Code Optimization, 2011, 8(2): 1−29
    [24]
    Li Jianjun, Wu Chenggang, Wei-Chung H. An evaluation of misaligned data access handling mechanisms in dynamic binary translation systems[C]//Proc of 2009 Int Symp on Code Generation and Optimization. Piscataway, NJ: IEEE, 2009: 180−189
    [25]
    唐锋,武成岗,冯晓兵,等. 基于动态反馈的标志位线性分析算法[J]. 软件学报,2007, 18(7):1603−1611

    Tang Feng, Wu Chenggang, Feng Xiaobing, et al. Marker linear analysis algorithm based on dynamic feedback[J]. Journal of Software, 2007, 18(7): 1603−1611 (in Chinese)
    [26]
    Bellard F. QEMU, a fast and portable dynamic translator[C]//Proc of USENIX Annual Technical Conf. Berkeley, CA: USENIX Association, 2005, 41(46): 41−46
    [27]
    Xie Benyi, Yan Yue, Yan Chenghao, et al. An instruction inflation analyzing framework for dynamic binary translators[J]. ACM Transactions on Architecture and Code Optimization, 2024, 21(2): 1−25
    [28]
    Georganas E, Avancha S, Banerjee K, et al. Anatomy of high-performance deep learning convolutions on SIMD architectures[C]//Proc of SC18: Int Conf for High Performance Computing, Networking, Storage and Analysis. Piscataway, NJ: IEEE, 2018: 830−841
    [29]
    Zhang Jiyuan, Franchetti F, Low T M. High performance zero-memory overhead direct convolutions[C/OL]//Proc of Int Conf on Machine Learning. 2018[2024-11-12]. https://proceedings.mlr.press/v80/zhang18d.html
    [30]
    Park D, Egger B. Improving throughput-oriented LLM inference with CPU computations[C]//Proc of the 2024 Int Conf on Parallel Architectures and Compilation Techniques. New York: ACM, 2024: 233−245
    [31]
    Shen Haihao, Chang Hanwen, Dong Bo, et al. Efficient LLM inference on CPUs[J]. arXiv preprint, arXiv: 2311.00502, 2023
    [32]
    Shen Haihao, Meng Hengyu, Dong Bo, et al. An efficient sparse inference software accelerator for transformer-based language models on cpus[J]. arXiv preprint, arXiv: 2306.16601, 2023
    [33]
    Jiang Xuanlin, Zhou Yang, Cao Shiyi, et al. Neo: Saving GPU memory crisis with CPU offloading for online LLM inference[J]. arXiv preprint, arXiv: 2411.01142, 2024
    [34]
    Bradski G. The openCV library[J]. Dr. Dobb’s Journal: Software Tools for the Professional Programmer, 2000, 25((11): ): 120−123
    [35]
    Tomar S. Converting video formats with FFmpeg[J]. Linux Journal, 2006, 2006(146): 10
    [36]
    Shuja J, Gani A, ur Rehman M H, et al. Towards native code offloading based MCC frameworks for multimedia applications: A survey[J]. Journal of Network and Computer Applications, 2016, 75: 335−354 doi: 10.1016/j.jnca.2016.08.021
    [37]
    Akshintala A, Jain B, Chia-Che Tsai C C, et al. x86−64 instruction usage among C/C++ applications[C]//Proc of the 12th ACM Int Conf on Systems and Storage. New York: ACM, 2019: 68−79
    [38]
    Cota E G, Carloni L P. Cross-ISA machine instrumentation using fast and scalable dynamic binary translation[C]//Proc of the 15th ACM SIGPLAN/SIGOPS Int Conf on Virtual Execution Environments. New York: ACM, 2019: 74−87
    [39]
    PtitSeb. Box64[EB/OL]. [2024-11-12]. https://github.com/ptitSeb/box64
    [40]
    余子濠,陈璐,孙凝晖,等. 以RISC-V为目标的动态二进制翻译代码质量优化方法[J]. 计算机研究与发展,2023,60(10):2322−2334 doi: 10.7544/issn1000-1239.202220296

    Yu Zihao, Chen Lu, Shun Ninghui, et al. Dynamic binary translation code quality optimization method targeting RISC-V[J]. Journal of Computer Research and Development, 2023, 60(10): 2322−2334 (in Chinese) doi: 10.7544/issn1000-1239.202220296
    [41]
    Yang Zhaoxin, Chen Xuehai, Wang Liangpu, et al. MFHBT: Hybrid binary translation system with multi-stage feedback powered by LLVM[C]//Proc of Int Symp on Advanced Parallel Processing Technologies. Berlin: Springer, 2023: 310−325
    [42]
    Michel L, Fournel N, Pétrot F. Speeding-up SIMD instructions dynamic binary translation in embedded processor simulation[C]//Proc of 2011 Design, Automation & Test in Europe. Piscataway, NJ: IEEE, 2011: 1−4
    [43]
    Fu Shengyu, Wu J J, Hsu W C. Improving SIMD code generation in QEMU[C]//Proc of 2015 Design, Automation & Test in Europe Conf & Exhibition (DATE). Piscataway, NJ: IEEE, 2015: 1233−1236
    [44]
    Fu Shengyu, Hong Dingyong, Wu J J, et al. SIMD code translation in an enhanced HQEMU[C]//Proc of 2015 IEEE 21st Int Conf on Parallel and Distributed Systems (ICPADS). Piscataway, NJ: IEEE, 2015: 507−514
    [45]
    Chernoff A, Hookway R. DIGITAL FX!32 running 32-bit x86 applications on Alpha NT[C]//Proc of Large-Scale System Administration of Windows NT Workshop. Berkeley, CA: USENIX Associatio, 1997: 37−42
    [46]
    Fu Shengyu, Hong Dingyong, Liu Yuping, et al. Efficient and retargetable SIMD translation in a dynamic binary translator[J]. Software: Practice and Experience, 2018, 48(6): 1312−1330 doi: 10.1002/spe.2573
    [47]
    D’Antras A, Gorgovan C, Garside J, et al. Low overhead dynamic binary translation on ARM[C]//Proc of the 38th ACM SIGPLAN Conf on Programming Language Design and Implementation. New York: ACM, 2017: 333−346
    [48]
    Hong Dingyong, Fu Shengyu, Liu Yuping, et al. Exploiting longer SIMD lanes in dynamic binary translation[C]//Proc of 2016 IEEE 22nd Int Conf on Parallel and Distributed Systems (ICPADS). Piscataway, NJ: IEEE, 2016: 853−860
    [49]
    马湘宁,武成岗,唐锋,等. 二进制翻译中的标志位优化技术[J]. 计算机研究与发展,2005,42(2):329−337 doi: 10.1360/crad20050222

    Ma Xiangning, Wu Chenggang, Tang Feng, et al. Flag bit optimization technology in binary translation[J]. Journal of Computer Research and Development, 2005, 42(2): 329−337 (in Chinese) doi: 10.1360/crad20050222
    [50]
    王文文,武成岗,白童心,等. 二进制翻译中标志位的模式化翻译方法[J]. 计算机研究与发展,2014,51(10):2336−2347

    Wang Wenwen, Wu Chenggang, Bai Tongxin, et al. Patterned translation method of flag bits in binary translation[J]. Journal of Computer Research and Development, 2014, 51(10): 2336−2347 (in Chinese)
    [51]
    Zeng Hongqing, Xie Min, Dong Yong, et al. Efficient condition code emulation for dynamic binary translation systems[C]//Proc of the 3rd Int Symp on Computer Engineering and Intelligent Communications (ISCEIC 2022). Bellingham, WA: SPIE, 2023, 12462: 421−432
    [52]
    Liu Yuping, Hong Dingyong, Wu J J, et al. Exploiting SIMD asymmetry in ARM-to-x86 dynamic binary translation[J]. ACM Transactions on Architecture and Code Optimization, 2019, 16(1): 1−24
    [53]
    Shuja J, Gani A, Ko K, et al. SIMDOM: A framework for SIMD instruction translation and offloading in heterogeneous mobile architectures[J]. Transactions on Emerging Telecommunications Technologies, 2018, 29(4): e3174 doi: 10.1002/ett.3174
    [54]
    Hallou N, Rohou E, Clauss P, et al. Dynamic re-vectorization of binary code[C]//Proc of 2015 Int Conf on Embedded Computer Systems: Architectures, Modeling, and Simulation (SAMOS). Piscataway, NJ: IEEE, 2015: 228−237
    [55]
    Hallou N, Rohou E, Clauss P. Runtime vectorization transformations of binary code[J]. International Journal of Parallel Programming, 2017, 45: 1536−1565 doi: 10.1007/s10766-016-0480-z
    [56]
    Wu Jin, Dong Jian, Fang Ruili, et al. Effective exploitation of SIMD resources in cross-ISA virtualization[C]//Proc of the 17th ACM SIGPLAN/SIGOPS Int Conf on Virtual Execution Environments. New York: ACM, 2021: 84−97
    [57]
    Liu Yuping, Hong Dingyong, Wu J J, et al. Exploiting asymmetric SIMD register configurations in ARM-to-x86 dynamic binary translation[C]//Proc of the 26th Int Conf on Parallel Architectures and Compilation Techniques (PACT). Piscataway, NJ: IEEE, 2017: 343−355
    [58]
    Lin C M, Fu Shengyu, Hong Dingyong, et al. Exploiting vector processing in dynamic binary translation[C]//Proc of the 48th Int Conf on Parallel Processing. New York: ACM, 2019: 1−10
    [59]
    Fu Shengyu, Hong Dingyong, Liu Yuping, et al. Dynamic translation of structured loads/stores and register mapping for architectures with SIMD extensions[C]//Proc of the 18th ACM SIGPLAN/SIGBED Conf on Languages, Compilers, and Tools for Embedded Systems. New York: ACM, 2017: 31−40
    [60]
    Fu Shengyu, Hong Dingyong, Liu Yuping, et al. Optimizing data permutations in structured loads/stores translation and SIMD register mapping for a cross-ISA dynamic binary translator[J]. Journal of Systems Architecture, 2019, 98: 173−190 doi: 10.1016/j.sysarc.2019.07.008
    [61]
    Hong Dingyong, Liu Yuping, Fu Shengyu, et al. Improving SIMD parallelism via dynamic binary translation[J]. ACM Transactions on Embedded Computing Systems, 2018, 17(3): 1−27
    [62]
    Li Jianhui, Zhang Qi, Xu Shu, et al. Optimizing dynamic binary translation for SIMD instructions[C]//Proc of Int Symp on Code Generation and Optimization (CGO’06). Piscataway, NJ: IEEE, 2006: 12−280
    [63]
    Clark N, Hormati A, Yehia S, et al. Liquid SIMD: Abstracting SIMD hardware using lightweight dynamic mapping[C]//Proc of the 13th Int Symp on High Performance Computer Architecture. Piscataway, NJ: IEEE, 2007: 216−227
    [64]
    Zhou Ruoyu, Wort G, Erdős M, et al. The janus triad: Exploiting parallelism through dynamic binary modification[C]//Proc of the 15th ACM SIGPLAN/SIGOPS Int Conf on Virtual Execution Environments. New York: ACM, 2019: 88−100
    [65]
    Nakamura T, Miki S, Oikawa S. Automatic vectorization by runtime binary translation[C]//Proc of the 2nd Int Conf on networking and computing. Piscataway, NJ: IEEE, 2011: 87−94
    [66]
    Jordan M G, Knorst T, Vicenzi J, et al. Boosting SIMD benefits through a run-time and energy efficient DLP detection[C]//Proc of 2019 Design, Automation & Test in Europe Conf & Exhibition (DATE). Piscataway, NJ: IEEE, 2019: 722−727
    [67]
    Shen B Y, Chen J Y, Hsu W C, et al. LLBT: An LLVM-based static binary translator[C]//Proc of the 2012 Int Conf on Compilers, Architectures and Synthesis for Embedded Systems. New York ACM, 2012: 51−60
    [68]
    Hong Dingyong, Hsu C C, Yew P C, et al. HQEMU: A multi-threaded and retargetable dynamic binary translator on multicores[C]//Proc of the 10th Int Symp on Code Generation and Optimization. New York: ACM, 2012: 104−113
    [69]
    谢海斌,武成岗,崔慧敏,等. 二进制翻译中的 x86 浮点栈处理[J]. 计算机研究与发展,2007,44(11):1946−1954 doi: 10.1360/crad20071119

    Xie Haibin, Wu Chenggang, Cui Huimin, et al. x86 floating point stack processing in binary translation[J]. Journal of Computer Research and Development, 2007, 44(11): 1946−1954 (in Chinese) doi: 10.1360/crad20071119
  • Related Articles

    [1]Wang Honglin, Yang Dan, Nie Tiezheng, Kou Yue. Attributed Heterogeneous Information Network Embedding with Self-Attention Mechanism for Product Recommendation[J]. Journal of Computer Research and Development, 2022, 59(7): 1509-1521. DOI: 10.7544/issn1000-1239.20210016
    [2]Ni Qingjian, Peng Wenqiang, Zhang Zhizheng, Zhai Yuqing. Spatial-Temporal Graph Neural Network for Traffic Flow Prediction Based on Information Enhanced Transmission[J]. Journal of Computer Research and Development, 2022, 59(2): 282-293. DOI: 10.7544/issn1000-1239.20210901
    [3]Cao Jiuxin, Gao Qingqing, Xia Rongqing, Liu Weijia, Zhu Xuelin, Liu Bo. Information Propagation Prediction and Specific Information Suppression in Social Networks[J]. Journal of Computer Research and Development, 2021, 58(7): 1490-1503. DOI: 10.7544/issn1000-1239.2021.20200809
    [4]Zhou Donghao, Han Wenbao, Wang Yongjun. A Fine-Grained Information Diffusion Model Based on Node Attributes and Content Features[J]. Journal of Computer Research and Development, 2015, 52(1): 156-166. DOI: 10.7544/issn1000-1239.2015.20130915
    [5]Ma Xiao, Wang Xuan, and Wang Xiaolong. The Information Model for a Class of Imperfect Information Game[J]. Journal of Computer Research and Development, 2010, 47(12).
    [6]Sun Qindong, Guan Xiaohong, Zhou Yadong. A Survey of Network Information Content Audit[J]. Journal of Computer Research and Development, 2009, 46(8): 1241-1250.
    [7]Tian Mei, Luo Siwei, Huang Yaping, and Zhao Jiali. Extracting Bottom-Up Attention Information Based on Local Complexity and Early Visual Features[J]. Journal of Computer Research and Development, 2008, 45(10): 1739-1746.
    [8]Ni Weiwei, Chen Geng, Lu Jieping, Wu Yingjie, Sun Zhihui. Local Entropy Based Weighted Subspace Outlier Mining Algorithm[J]. Journal of Computer Research and Development, 2008, 45(7): 1189-1194.
    [9]Liu Yunhui, Luo Siwei, Huang Hua, and Li Aijun. Information Geometric Analysis of Pruning Algorithm[J]. Journal of Computer Research and Development, 2006, 43(9): 1609-1614.
    [10]Dong Wenyu, Sun Donghong, Xu Ke, Li Xuedong. Modeling of Autonomous Network Information Service[J]. Journal of Computer Research and Development, 2006, 43(2): 224-230.

Catalog

    Article views (60) PDF downloads (24) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return