Application of gradient descent method to the sedimentary grain-size distribution fitting

被引：10
|
作者：
Chen, Haibo [1 ]
Lv, Xianqing [1 ]
Qiao, Yansong [2 ]
机构：
[1] Ocean Univ China, Lab Phys Oceanog, Qingdao 266100, Peoples R China
[2] Chinese Acad Geol Sci, Inst Geomech, Beijing 100081, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 233卷 / 04期
关键词：
Nonlinear least squares data fitting; Gradient descent; Mixture distribution of three lognormal components; Laser grain-size; Existence theorem; LEAST-SQUARES; ORTHOGONAL DISTANCES; NORTHERN CHINA; MODEL FUNCTION; CURVE; IDENTIFICATION; EXISTENCE; MONSOON; RECORDS;
D O I：
10.1016/j.cam.2009.09.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Existence of a least squares solution for a sum of several weighted normal functions is proved. The gradient descent (GD) method is used to fit the measured data (i.e. the laser grain-size distribution of the sediments) with a sum of three weighted lognormal functions. The numerical results indicate that the GD method is not only easy to operate but also could effectively optimize the parameters of the fitting function with the error decreasing steadily. Meanwhile the overall fitting results are satisfactory. As a new way of data fitting, the GD method could also be used to solve other optimization problems. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：1128 / 1138
页数：11
相关论文
共 17 条
  • [1] Numerical partitioning of components for four-modal sedimentary grain-size distribution based on gradient descent method
    Chen HaiBo
    Zhang YuHong
    Liu Qiang
    SCIENCE CHINA-EARTH SCIENCES, 2014, 57 (12) : 3097 - 3106
  • [2] Numerical partitioning of components for four-modal sedimentary grain-size distribution based on gradient descent method
    HaiBo Chen
    YuHong Zhang
    Qiang Liu
    Science China Earth Sciences, 2014, 57 : 3097 - 3106
  • [3] Numerical partitioning of components for four-modal sedimentary grain-size distribution based on gradient descent method
    CHEN HaiBo
    ZHANG YuHong
    LIU Qiang
    Science China(Earth Sciences), 2014, 57 (12) : 3097 - 3106
  • [4] Grain-Size Distribution of Surface Sediments in the Chanthaburi Coast, Thailand and Implications for the Sedimentary Dynamic Environment
    Wang, Chengtao
    Chen, Min
    Qi, Hongshuai
    Intasen, Wichien
    Kanchanapant, Apichai
    JOURNAL OF MARINE SCIENCE AND ENGINEERING, 2020, 8 (04)
  • [5] The origin of bimodal grain-size distribution for aeolian deposits
    Lin, Yongchong
    Mu, Guijin
    Xu, Lishuai
    Zhao, Xue
    AEOLIAN RESEARCH, 2016, 20 : 80 - 88
  • [6] Sedimentary grain-size record of Holocene runoff fluctuations in the Lake Lugu watershed, SE Tibetan Plateau
    Zhang, Xiaonan
    Zhang, Hucai
    Chang, Fengqin
    Ashraf, Umar
    Wu, Han
    Peng, Wei
    Liu, Qi
    Liu, Fengwen
    Zhang, Yun
    Duan, Lizeng
    HOLOCENE, 2021, 31 (03): : 346 - 355
  • [7] Modified Gompertz sigmoidal model removing fine-ending of grain-size distribution
    Yuan, Rui
    Yang, Bo
    Liu, Yingfei
    Huang, Lingyu
    OPEN GEOSCIENCES, 2019, 11 (01) : 29 - 36
  • [8] Grain-size and geochemical investigations on the Novyi Tik site (NW Ukraine) and their significance for understanding the local sedimentary environment in the Pleistocene
    Bonchkovskyi, Oleksandr S.
    Kuraeva, Iryna, V
    Bonchkovskyi, Andrii S.
    JOURNAL OF GEOLOGY GEOGRAPHY AND GEOECOLOGY, 2023, 32 (04): : 679 - 694
  • [9] An Extension of the Student's T-distribution Mixture Model and the Gradient Descent Method
    Xiong, Taisong
    Gou, Jianping
    Rao, Yunbo
    JOURNAL OF COMPUTERS, 2013, 8 (07) : 1750 - 1757
  • [10] Validation of appropriate estimation criteria for the number of components for separating a polymodal grain-size distribution into lognormal distributions
    Yamaguchi, Naofumi
    PROGRESS IN EARTH AND PLANETARY SCIENCE, 2023, 10 (01)
12