{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T16:35:15Z","timestamp":1778517315308,"version":"3.51.4"},"reference-count":28,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,1,12]],"date-time":"2023-01-12T00:00:00Z","timestamp":1673481600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Chinese Academy of Sciences research instrumentation development project","award":["YJKYYQ20200048"],"award-info":[{"award-number":["YJKYYQ20200048"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>To address the shortcomings in many traditional spectral feature extraction algorithms in practical application of low modeling accuracy and poor stability, this paper introduces the \u201cBoruta algorithm-based local optimization process\u201c based on the traditional simulated annealing algorithm and proposes the \u201ctwo-step simulated annealing algorithm (TSSA)\u201d. This algorithm combines global optimization and local optimization. The Boruta algorithm ensures that the feature extraction results are all strongly correlated with the dependent variable, reducing data redundancy. The accuracy and stability of the algorithm model are significantly improved. The experimental results show that compared with the traditional feature extraction method, the accuracy indexes of the inversion model established by using the TSSA algorithm for feature extraction were significantly improved, with the determination coefficient R2 of 0.9654, the root mean square error (RMSE) of 3.6723 \u03bcg\/L, and the mean absolute error (MAE) of 3.1461 \u03bcg\/L.<\/jats:p>","DOI":"10.3390\/s23020893","type":"journal-article","created":{"date-parts":[[2023,1,12]],"date-time":"2023-01-12T05:45:33Z","timestamp":1673502333000},"page":"893","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["A Two-Step Simulated Annealing Algorithm for Spectral Data Feature Extraction"],"prefix":"10.3390","volume":"23","author":[{"given":"Jian","family":"Pei","sequence":"first","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liang","family":"Xu","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yitong","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Computer Science and Technology, Jilin University, Changchun 130012, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qingbin","family":"Jiao","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mingyu","family":"Yang","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ding","family":"Ma","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sijia","family":"Jiang","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hui","family":"Li","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuhang","family":"Li","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4684-9563","authenticated-orcid":false,"given":"Siqi","family":"Liu","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Zhang","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiahang","family":"Zhang","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin","family":"Tan","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Beijing 100049, China"},{"name":"Center of Materials Science and Optoelectronics Engineering, Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"627865","DOI":"10.3389\/fpls.2021.627865","article-title":"Research and Application of Several Key Techniques in Hyperspectral Image Preprocessing","volume":"12","author":"Li","year":"2021","journal-title":"Front. Plant Sci."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1087","DOI":"10.1063\/1.1699114","article-title":"Equation of State Calculations by Fast Computing Machines","volume":"21","author":"Metropolis","year":"2004","journal-title":"J. Chem. Phys."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1126\/science.220.4598.671","article-title":"Optimization by simulated annealing","volume":"220","author":"Kirpatrick","year":"1983","journal-title":"Science"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1109\/TCAD.1983.1270039","article-title":"Global Wiring by Simulated Annealing","volume":"2","author":"Vecchi","year":"2004","journal-title":"IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"3680","DOI":"10.1016\/j.asoc.2011.01.039","article-title":"Solving the traveling salesman problem based on an adaptive simulated annealing algorithm with greedy search","volume":"11","author":"Geng","year":"2011","journal-title":"Appl. Soft Comput."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1109\/TPWRS.2005.860922","article-title":"Unit commitment by an enhanced simulated annealing algorithm","volume":"21","author":"Simopoulos","year":"2006","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"105761","DOI":"10.1016\/j.asoc.2019.105761","article-title":"An improved Simulated Annealing algorithm based on ancient metallurgy techniques","volume":"84","author":"Cuevas","year":"2019","journal-title":"Appl. Soft Comput."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.1016\/j.ejor.2005.12.052","article-title":"An improved simulated annealing algorithm for bandwidth minimization","volume":"185","author":"Hao","year":"2008","journal-title":"Eur. J. Oper. Res."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.18637\/jss.v036.i11","article-title":"Feature Selection with Boruta Package","volume":"36","author":"Kursa","year":"2010","journal-title":"J. Stat. Softw."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Shaheen, A., and Iqbal, J. (2018). Spatial Distribution and Mobility Assessment of Carcinogenic Heavy Metals in Soil Profiles Using Geostatistics and Random Forest, Boruta Algorithm. Sustainability, 10.","DOI":"10.3390\/su10030799"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"264","DOI":"10.23919\/JCN.2022.000002","article-title":"Intrusion detection technique in wireless sensor network using grid search random forest with Boruta feature selection algorithm","volume":"24","author":"Subbiah","year":"2022","journal-title":"J. Commun. Netw."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"104522","DOI":"10.1016\/j.compbiomed.2021.104522","article-title":"Electric impedance spectroscopy feature extraction for tissue classification with electrode embedded surgical needles through a modified forward stepwise method","volume":"135","author":"Kent","year":"2021","journal-title":"Comput. Biol. Med."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"11580","DOI":"10.3390\/s140711580","article-title":"The Potential Applications of Real-Time Monitoring of Water Quality in a Large Shallow Lake (Lake Taihu, China) Using a Chromophoric Dissolved Organic Matter Fluorescence Sensor","volume":"14","author":"Niu","year":"2014","journal-title":"Sensors"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"12437","DOI":"10.3390\/s120912437","article-title":"A Method for Application of Classification Tree Models to Map Aquatic Vegetation Using Remotely Sensed Images from Different Sensors and Dates","volume":"12","author":"Jiang","year":"2012","journal-title":"Sensors"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"6448","DOI":"10.1073\/pnas.1216006110","article-title":"Record-setting algal bloom in Lake Erie caused by agricultural and meteorological trends consistent with expected future conditions","volume":"110","author":"Michalak","year":"2013","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"7210","DOI":"10.1073\/pnas.0601568103","article-title":"An impending water crisis in Canada\u2019s western prairie provinces","volume":"103","author":"Schindler","year":"2006","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_17","unstructured":"Jin, X.C., and Tu, Q.Y. (1990). Specification for Lake Eutrophication Investigation, Environmental Science Press. [2nd ed.]."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1016\/j.limno.2012.03.002","article-title":"Environmental changes in Chaohu Lake (Southeast, China) since the mid 20th century: The interactive impacts of nutrients, hydrology and climate","volume":"43","author":"Chen","year":"2013","journal-title":"Limnol.\u2014Ecol. Manag. Inland Waters"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1007\/s10750-010-0526-y","article-title":"Nutrient dynamics linked to hydrological condition and anthropogenic nutrient loading in Chaohu Lake (Southeast China)","volume":"661","author":"Chen","year":"2010","journal-title":"Hydrobiologia"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"18","DOI":"10.18307\/2019.0102","article-title":"Mechanism and control strategy of cyanobacterial bloom in Lake Taihu","volume":"31","author":"Yang","year":"2019","journal-title":"J. Lake Sci."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"279","DOI":"10.18307\/2018.0201","article-title":"Variation and driving factors of nutrients and chlorophyll-a concentrations in northern region of Lake Taihu, China,2005\u20132017","volume":"30","author":"Zhu","year":"2018","journal-title":"J. Lake Sci."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"11","DOI":"10.18307\/2020.0102","article-title":"The variation of water quality form 2012 to 2018 in Lake Chaohu and the mitigating strategy on cyanobacterial blooms","volume":"32","author":"Zhang","year":"2020","journal-title":"J. Lake Sci."},{"key":"ref_23","first-page":"89","article-title":"Hyperspectral endmember extraction using Pearson\u2019s correlation coefficient","volume":"24","author":"Shah","year":"2021","journal-title":"Int. J. Comput. Sci. Eng."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1027","DOI":"10.1002\/asi.21009","article-title":"The relation between Pearson\u2019s correlation coefficient r and Salton\u2019s cosine measure","volume":"60","author":"Egghe","year":"2014","journal-title":"J. Am. Soc. Inf. Sci. Technol."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1117\/1.1637907","article-title":"Feature reduction of hyperspectral imagery using hybrid wavelet-principal component analysis","volume":"43","author":"Kaewpijit","year":"2004","journal-title":"Opt. Eng."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"4440","DOI":"10.1364\/AO.53.004440","article-title":"Structured covariance principal component analysis for real-time onsite feature extraction and dimensionality reduction in hyperspectral imaging","volume":"53","author":"Zabalza","year":"2014","journal-title":"Appl. Opt."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1430","DOI":"10.1016\/j.foodchem.2009.01.073","article-title":"Application of successive projections algorithm for variable selection to determine organic acids of plum vinegar","volume":"115","author":"Liu","year":"2009","journal-title":"Food Chem."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1958","DOI":"10.1007\/s12161-018-1162-9","article-title":"Voltammetric e-Tongue Based on a Single Sensor and Variable Selection for the Classification of Teas","volume":"11","author":"Rodrigues","year":"2018","journal-title":"Food Anal. 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