Article(id=1314907228251972289, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1314907112854089785, articleNumber=null, orderNo=null, doi=10.3969/j.issn.0253-6099.2025.06.018, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1751212800000, receivedDateStr=2025-06-30, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1791427913010, onlineDateStr=2026-10-08, pubDate=null, pubDateStr=null, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1791427913010, onlineIssueDateStr=2026-10-08, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1791427913010, creator=13701087609, updateTime=1791427913010, updator=13701087609, issue=Issue{id=1314907112854089785, tenantId=1146029695717560320, journalId=1235980550691926019, year='2025', volume='45', issue='6', pageStart='1', pageEnd='228', issueExtLink='null', onlineDate='null', pubDate='1764518400000', pubDateStr='2025-12-01', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1791427885497, creator='13701087609', updateTime=1791430521754, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1314918170201252492, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1314907112854089785, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1314918170201252493, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1314907112854089785, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=102, endPage=107, ext={EN=ArticleExt(id=1314907228864340674, articleId=1314907228251972289, tenantId=1146029695717560320, journalId=1235980550691926019, language=EN, title=Optimization of Reagent Regimen for Roughing of Bulk Flotation Using Bayesian Optimization, columnId=1236276106932842717, journalTitle=Mining and Metallurgical Engineering, columnName=MINERAL PROCESSING, runingTitle=null, highlight=null, articleAbstract=

To address problems of cumbersome procedures, time-consuming and high cost for traditional flotation test of molybdenum-bismuth ores, a Bayesian optimization (BO)-based reagent optimization model and a reagent simulation model with combining functions were established for molybdenum-bismuth ore flotation. The simulation functions of flotation reagent were processed with the BO-based model, and it is shown that in a test with 100 sets of computer simulation, the maximum of the function by BO after 25 iterations was 0.93 on average, compared to the optimum value of 0.86 after 25 trials by conventional single-factor test, presenting a 8.14% rise. This verifies the feasible application of BO applied in reagent optimization for molybdenum-bismuth flotation. The laboratory mineral processing data from a concentrator were taken in a study with BO. A model of ore grade and recovery was established via Gaussian process for model fitting. For obtaining the maximum of objective function by multiple iterations, it required an average of 18 iterations by using BO, while 30 trials on average were required by conventional single-factor test. It is concluded that BO can improve the optimization efficiency by 40%.

, authors=Yanglong ZHANG, Wen CHEN, Zhenhong LIAO, Ren LIU, authorsList=Yanglong ZHANG, Wen CHEN, Zhenhong LIAO, Ren LIU, authorCompany=null, correspAuthors=Wen CHEN, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1314907229254410947, articleId=1314907228251972289, tenantId=1146029695717560320, journalId=1235980550691926019, language=CN, title=基于贝叶斯优化的混合浮选粗选药剂制度优化, columnId=1236276107125780707, journalTitle=矿冶工程杂志, columnName=选矿, runingTitle=null, highlight=null, articleAbstract=

针对传统钼铋矿石的浮选试验繁琐、周期长、成本高的问题,构建了基于贝叶斯优化算法的钼铋矿物浮选药剂寻优模型和模拟钼铋矿物浮选药剂的组合函数模型。以贝叶斯优化模型处理浮选药剂的模拟函数结果显示,在100组计算机模拟试验下,贝叶斯优化迭代25次的当前最优值的均值为0.93,而正常单因素实验25组试验最优值的均值为0.86,贝叶斯优化同比提高了8.14%,证实了贝叶斯优化的优势;以某选矿厂实验室选矿数据进行贝叶斯优化研究,先经过高斯模型拟合建立关于矿石品位和回收率的模型,经过多次迭代后得到最佳目标值,贝叶斯优化平均需要18次试验,而传统的单因素实验则平均需要30次试验,贝叶斯优化与传统单因素实验相比,优化效率提升了40%。

, authors=张洋龙, 陈雯, 廖振鸿, 刘任, authorsList=张洋龙, 陈雯, 廖振鸿, 刘任, authorCompany=null, correspAuthors=陈雯, authorNote=

张洋龙(2001—),男,安徽天长人,硕士研究生,主要研究方向为矿物加工工程和数据科学。E-mail:

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陈雯(1965—),女,四川资阳人,博士,正高级工程师,主要研究方向为复杂矿产资源高效清洁利用。E-mail:
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张洋龙(2001—),男,安徽天长人,硕士研究生,主要研究方向为矿物加工工程和数据科学。E-mail:

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张洋龙(2001—),男,安徽天长人,硕士研究生,主要研究方向为矿物加工工程和数据科学。E-mail:

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基于贝叶斯优化的混合浮选粗选药剂制度优化
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张洋龙 , 陈雯 , 廖振鸿 , 刘任
矿冶工程杂志 | 选矿 2025,45(6): 102-107
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矿冶工程杂志 |选矿 2025 , 45 (6) : 102 -107
基于贝叶斯优化的混合浮选粗选药剂制度优化
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张洋龙 , 陈雯 , 廖振鸿, 刘任
作者信息
  • 长沙矿冶研究院有限责任公司,湖南 长沙 410012
通讯作者:
陈雯(1965—),女,四川资阳人,博士,正高级工程师,主要研究方向为复杂矿产资源高效清洁利用。E-mail:
作者简介:

张洋龙(2001—),男,安徽天长人,硕士研究生,主要研究方向为矿物加工工程和数据科学。E-mail:

Optimization of Reagent Regimen for Roughing of Bulk Flotation Using Bayesian Optimization
Yanglong ZHANG , Wen CHEN , Zhenhong LIAO, Ren LIU
Affiliations
  • Changsha Research Institute of Mining and Metallurgy Co., Ltd., Changsha 410012, Hunan, China
doi: 10.3969/j.issn.0253-6099.2025.06.018
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针对传统钼铋矿石的浮选试验繁琐、周期长、成本高的问题,构建了基于贝叶斯优化算法的钼铋矿物浮选药剂寻优模型和模拟钼铋矿物浮选药剂的组合函数模型。以贝叶斯优化模型处理浮选药剂的模拟函数结果显示,在100组计算机模拟试验下,贝叶斯优化迭代25次的当前最优值的均值为0.93,而正常单因素实验25组试验最优值的均值为0.86,贝叶斯优化同比提高了8.14%,证实了贝叶斯优化的优势;以某选矿厂实验室选矿数据进行贝叶斯优化研究,先经过高斯模型拟合建立关于矿石品位和回收率的模型,经过多次迭代后得到最佳目标值,贝叶斯优化平均需要18次试验,而传统的单因素实验则平均需要30次试验,贝叶斯优化与传统单因素实验相比,优化效率提升了40%。

贝叶斯优化  /  优化模型  /  钼铋浮选  /  药剂制度  /  浮选  /  药剂  /  回收率

To address problems of cumbersome procedures, time-consuming and high cost for traditional flotation test of molybdenum-bismuth ores, a Bayesian optimization (BO)-based reagent optimization model and a reagent simulation model with combining functions were established for molybdenum-bismuth ore flotation. The simulation functions of flotation reagent were processed with the BO-based model, and it is shown that in a test with 100 sets of computer simulation, the maximum of the function by BO after 25 iterations was 0.93 on average, compared to the optimum value of 0.86 after 25 trials by conventional single-factor test, presenting a 8.14% rise. This verifies the feasible application of BO applied in reagent optimization for molybdenum-bismuth flotation. The laboratory mineral processing data from a concentrator were taken in a study with BO. A model of ore grade and recovery was established via Gaussian process for model fitting. For obtaining the maximum of objective function by multiple iterations, it required an average of 18 iterations by using BO, while 30 trials on average were required by conventional single-factor test. It is concluded that BO can improve the optimization efficiency by 40%.

Bayesian optimization  /  optimization model  /  Mo-Bi flotation  /  reagent regimen  /  flotation  /  reagent  /  recovery
张洋龙, 陈雯, 廖振鸿, 刘任. 基于贝叶斯优化的混合浮选粗选药剂制度优化. 矿冶工程杂志, 2025 , 45 (6) : 102 -107 . DOI: 10.3969/j.issn.0253-6099.2025.06.018
Yanglong ZHANG, Wen CHEN, Zhenhong LIAO, Ren LIU. Optimization of Reagent Regimen for Roughing of Bulk Flotation Using Bayesian Optimization[J]. Mining and Metallurgical Engineering, 2025 , 45 (6) : 102 -107 . DOI: 10.3969/j.issn.0253-6099.2025.06.018

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doi: 10.3969/j.issn.0253-6099.2025.06.018
  • 接收时间:2025-06-30
  • 首发时间:2026-10-08
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  • 收稿日期:2025-06-30
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    长沙矿冶研究院有限责任公司,湖南 长沙 410012

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陈雯(1965—),女,四川资阳人,博士,正高级工程师,主要研究方向为复杂矿产资源高效清洁利用。E-mail:
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2种不同金属材料的力学参数
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Number of
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种数
Number of
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占总种数比例
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属
Genus
种数
Number of
species
占总种数比例
Percentage of total
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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