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213. Explicit Superlinear Convergence Rates of The SR1 Algorithm

Author

Ye, Haishan, Lin, Dachao, Zhang, Zhihua, and Chang, Xiangyu

Subjects
Mathematics - Optimization and Control
Abstract

We study the convergence rate of the famous Symmetric Rank-1 (SR1) algorithm which has wide applications in different scenarios. Although it has been extensively investigated, SR1 still lacks a non-asymptotic superlinear rate compared with other quasi-Newton methods such as DFP and BFGS. In this paper we address this problem. Inspired by the recent work on explicit convergence analysis of quasi-Newton methods, we obtain the first explicit non-asymptotic rates of superlinear convergence for the vanilla SR1 methods with correction strategy to achieve the numerical stability. Specifically, the vanilla SR1 with the correction strategy achieves the rates of the form $\left(\frac{4n\ln(e\kappa) }{k}\right)^{k/2}$ for general smooth strongly-convex functions where $k$ is the iteration counter, $\kappa$ is the condition number of the objective function and $n$ is the dimension of the problem. For the quadratic function, the vanilla SR1 algorithm can find the optima of the objective function at most $n$ steps.

Published
2021

214. Explicit Convergence Rates of Greedy and Random Quasi-Newton Methods

Author

Lin, Dachao, Ye, Haishan, and Zhang, Zhihua

Subjects
Mathematics - Optimization and Control
Abstract

Optimization is important in machine learning problems, and quasi-Newton methods have a reputation as the most efficient numerical schemes for smooth unconstrained optimization. In this paper, we consider the explicit superlinear convergence rates of quasi-Newton methods and address two open problems mentioned by Rodomanov and Nesterov. First, we extend Rodomanov and Nesterov's results to random quasi-Newton methods, which include common DFP, BFGS, SR1 methods. Such random methods adopt a random direction for updating the approximate Hessian matrix in each iteration. Second, we focus on the specific quasi-Newton methods: SR1 and BFGS methods. We provide improved versions of greedy and random methods with provable better explicit (local) superlinear convergence rates. Our analysis is closely related to the approximation of a given Hessian matrix, unconstrained quadratic objective, as well as the general strongly convex, smooth, and strongly self-concordant functions., Comment: Fix some typos, 40 pages, 3 figures, final version

Published
2021

215. DeEPCA: Decentralized Exact PCA with Linear Convergence Rate

Author

Ye, Haishan and Zhang, Tong

Subjects
Computer Science - Machine Learning, Mathematics - Optimization and Control
Abstract

Due to the rapid growth of smart agents such as weakly connected computational nodes and sensors, developing decentralized algorithms that can perform computations on local agents becomes a major research direction. This paper considers the problem of decentralized Principal components analysis (PCA), which is a statistical method widely used for data analysis. We introduce a technique called subspace tracking to reduce the communication cost, and apply it to power iterations. This leads to a decentralized PCA algorithm called \texttt{DeEPCA}, which has a convergence rate similar to that of the centralized PCA, while achieving the best communication complexity among existing decentralized PCA algorithms. \texttt{DeEPCA} is the first decentralized PCA algorithm with the number of communication rounds for each power iteration independent of target precision. Compared to existing algorithms, the proposed method is easier to tune in practice, with an improved overall communication cost. Our experiments validate the advantages of \texttt{DeEPCA} empirically.

Published
2021

224. Research on Data Security Guarantee System for Digital Government Construction

Author

Li, Qiuyan, Bu, Feifei, Hua, Yuanpeng, Wang, Haishan, Li, Kan, Editor-in-Chief, Li, Qingyong, Associate Editor, Fournier-Viger, Philippe, Series Editor, Hong, Wei-Chiang, Series Editor, Liang, Xun, Series Editor, Wang, Long, Series Editor, Xu, Xuesong, Series Editor, Chen, Charles, editor, Singh, Satya Narayan, editor, Saxena, Sandeep, editor, and Wheeb, Ali Hussein, editor

Published
2023
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226. Analysis and Suppression of the Capacitor Voltage Ripple for Hexverter-Based Modular Multilevel Converters

Author

Yang, Fan, Wang, Xiaohong, Guo, Haishan, Yang, Hemin, Huo, Zhixin, Jian, Youzong, Hu, Jing, Angrisani, Leopoldo, Series Editor, Arteaga, Marco, Series Editor, Panigrahi, Bijaya Ketan, Series Editor, Chakraborty, Samarjit, Series Editor, Chen, Jiming, Series Editor, Chen, Shanben, Series Editor, Chen, Tan Kay, Series Editor, Dillmann, Rüdiger, Series Editor, Ferrari, Gianluigi, Series Editor, Duan, Haibin, Series Editor, Ferre, Manuel, Series Editor, Hirche, Sandra, Series Editor, Jabbari, Faryar, Series Editor, Jia, Limin, Series Editor, Kacprzyk, Janusz, Series Editor, Khamis, Alaa, Series Editor, Kroeger, Torsten, Series Editor, Li, Yong, Series Editor, Liang, Qilian, Series Editor, Martín, Ferran, Series Editor, Ming, Tan Cher, Series Editor, Minker, Wolfgang, Series Editor, Misra, Pradeep, Series Editor, Möller, Sebastian, Series Editor, Mukhopadhyay, Subhas, Series Editor, Ning, Cun-Zheng, Series Editor, Nishida, Toyoaki, Series Editor, Oneto, Luca, Series Editor, Pascucci, Federica, Series Editor, Qin, Yong, Series Editor, Seng, Gan Woon, Series Editor, Speidel, Joachim, Series Editor, Veiga, Germano, Series Editor, Wu, Haitao, Series Editor, Zamboni, Walter, Series Editor, Zhang, Junjie James, Series Editor, Cao, Wenping, editor, Hu, Cungang, editor, and Chen, Xiangping, editor

Published
2023
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227. A Guidance and Control Scheme Based on NDO for Flexible Hypersonic Vehicle

Author

An, Tong, Yuan, Zhongrui, Liu, Yali, Wang, Wenzhe, Pan, Yulong, Chen, Haishan, Angrisani, Leopoldo, Series Editor, Arteaga, Marco, Series Editor, Panigrahi, Bijaya Ketan, Series Editor, Chakraborty, Samarjit, Series Editor, Chen, Jiming, Series Editor, Chen, Shanben, Series Editor, Chen, Tan Kay, Series Editor, Dillmann, Rüdiger, Series Editor, Duan, Haibin, Series Editor, Ferrari, Gianluigi, Series Editor, Ferre, Manuel, Series Editor, Hirche, Sandra, Series Editor, Jabbari, Faryar, Series Editor, Jia, Limin, Series Editor, Kacprzyk, Janusz, Series Editor, Khamis, Alaa, Series Editor, Kroeger, Torsten, Series Editor, Li, Yong, Series Editor, Liang, Qilian, Series Editor, Martín, Ferran, Series Editor, Ming, Tan Cher, Series Editor, Minker, Wolfgang, Series Editor, Misra, Pradeep, Series Editor, Möller, Sebastian, Series Editor, Mukhopadhyay, Subhas, Series Editor, Ning, Cun-Zheng, Series Editor, Nishida, Toyoaki, Series Editor, Oneto, Luca, Series Editor, Pascucci, Federica, Series Editor, Qin, Yong, Series Editor, Seng, Gan Woon, Series Editor, Speidel, Joachim, Series Editor, Veiga, Germano, Series Editor, Wu, Haitao, Series Editor, Zamboni, Walter, Series Editor, Zhang, Junjie James, Series Editor, Yan, Liang, editor, and Deng, Yimin, editor

Published
2023
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228. Establishment and Verification of Flight Fatigue Model Induced by Simulated Aircraft Driving

Author

Jiang, Wei, Chen, Zhenling, Xu, Haishan, Liu, Tiebing, Li, Lili, Xu, Xianfa, Angrisani, Leopoldo, Series Editor, Arteaga, Marco, Series Editor, Panigrahi, Bijaya Ketan, Series Editor, Chakraborty, Samarjit, Series Editor, Chen, Jiming, Series Editor, Chen, Shanben, Series Editor, Chen, Tan Kay, Series Editor, Dillmann, Rüdiger, Series Editor, Duan, Haibin, Series Editor, Ferrari, Gianluigi, Series Editor, Ferre, Manuel, Series Editor, Hirche, Sandra, Series Editor, Jabbari, Faryar, Series Editor, Jia, Limin, Series Editor, Kacprzyk, Janusz, Series Editor, Khamis, Alaa, Series Editor, Kroeger, Torsten, Series Editor, Li, Yong, Series Editor, Liang, Qilian, Series Editor, Martín, Ferran, Series Editor, Ming, Tan Cher, Series Editor, Minker, Wolfgang, Series Editor, Misra, Pradeep, Series Editor, Möller, Sebastian, Series Editor, Mukhopadhyay, Subhas, Series Editor, Ning, Cun-Zheng, Series Editor, Nishida, Toyoaki, Series Editor, Oneto, Luca, Series Editor, Pascucci, Federica, Series Editor, Qin, Yong, Series Editor, Seng, Gan Woon, Series Editor, Speidel, Joachim, Series Editor, Veiga, Germano, Series Editor, Wu, Haitao, Series Editor, Zamboni, Walter, Series Editor, Zhang, Junjie James, Series Editor, Long, Shengzhao, editor, and Dhillon, Balbir S., editor

Published
2023
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248. Efficacy and safety of aldosterone synthase inhibition with and without empagliflozin for chronic kidney disease: a randomised, controlled, phase 2 trial

Author

Tuttle, Katherine R, Hauske, Sibylle J, Canziani, Maria Eugenia, Caramori, Maria Luiza, Cherney, David, Cronin, Lisa, Heerspink, Hiddo J L, Hugo, Christian, Nangaku, Masaomi, Rotter, Ricardo Correa, Silva, Arnold, Shah, Shimoli V, Sun, Zhichao, Urbach, Dorothea, de Zeeuw, Dick, Rossing, Peter, SZETO, Cheuk Chun, Echeverri, Diego, Martin, Edouard, Yee, Ming Li, Wah, William, Wang, Ray, Chacko, Bobby, Swaminathan, Shriram, MacIsaac, Richard, Hashimura, Hikaru, Ward, Glenn, De Vusser, Katrien, Claes, Kathleen, Kuypers, Dirk, Meijers, Björn, Van Craenenbroeck, Amaryllis, Hilbrands, Robert, Debroye, Corinne, Wissing, Karl Martin, Jadoul, Michel, Demoulin, Nathalie, Treille De Grandsaigne, Serge, Beklevic, Ishak, Marcoux, Diane, Liénart, Fabienne, Daper, Claude, De Brouckere, Véronique, Heureux, Mercédès, Felicio, Joao, Felicio, Karem Mileo, Leite, Daniella, Melo, Franciane, Queiroz, Natercia, Souza, Ana Carolina, Vieira, Jocyelle, Franco, Roberto, Mendes, Adriana, Picolli, Giovana, Canani, Luis Henrique, Sartori, Carla, Valenti, Adriana, Eliaschewitz, Freddy, Bona, Renata, Franco, Denise, Ludovico Costa de Castro, Denise, Magalhaes, Vanessa, Oliveira, Marcelo, Sampaio, Célia Regina, Visconti, Guilherme, Halpern, Bruno, Nihei, Camila, Pessoa, Bruna, Seraphim, Carlos, Santos, Daniel, Brito, Claudia, Douverny, Joao, Colella, Marina, Gazeta, Cristina, Vercia, Monique, Watanabe, Renato, Temelkova, Theodora, Kjurkchiev, Dimo, Statkova, Silviya, Popov, Iliya, Radeva, Radosveta, Arabadzhiev, Lachezar, Binova, Mariya, Bosilkov, Aleksandar, Koleva-Stoicheva, Neli, Ivanov, Ivaylo, Ivanova, Zornitsa, Kotseva, Viktoria, Spasov, Petar, Tsvetkov, Ivaylo, Jolly, Shivinder, Bailey, Gordon, Ye, Zhiming, Niu, Jianying, Li, Hongmei, Wu, Qing, Liao, Bing, Hao, Chuanming, Lai, Lingyun, Xu, Yunyu, Zhang, Min, Li, Yiwen, Liu, Bo, Shao, Lina, Chen, Wei, Wu, Haishan, Pirchala, Marian, Skarpova, Iva, Hraskova, Marketa, Soukupova, Simoneta, Veberova, Lucie, Drasnar, Tomas, Falc, Matej, Racz, Blazej, Votocek, Stepan, Weissova, Danica, Syc-Krivanova, Lenka, Slezak, Dagmar, Kantola, Ilkka, Nieminen, Sakari, Anttonen, Milla, Taurio, Jyrki, Lahtela, Jorma, Tsimihodimos, Vasileios, Balafa, Olga, Dounousi, Evangelia, Sakkou, Sissy, Tentolouris, Nikolaos, Siafarikas, Christos, Siami, Evangelia, Doupis, Ioannis, Angelopoulos, Theodoros, Georgoulias, Christodoulos, Pall, Denes, Esze, Regina, Kobling, Tamas, Varadi, Zita, Zsiros, Noemi, Vass, Viktor, Balo, Timea, Csanyi, Erika, Ory, Ivan, Pall, Istvan, Patai, Valentina, Zeak, Zsuzsanna, Takacs, Istvan, Petho, Akos, Szili, Balazs, Koranyi, Laszlo, Bezzegh, Katalin, Pauer, Jozsef, Peterfai, Eva, Konyves, Laszlo, Szoke, Brigitta, Hajdu, Csaba, Kalman, Krisztina, Yadav, Raj, Saxena, Navneet, Bhattacharya, Meenakshi, Sharma, Bal, Thomas, Nihal, K, Felix Jebasingh, Kapoor, Nitin, Kurian, Mathews E., Paul, Jinson, Ramesh, Priyadharshini, Varghese, Sheeba, Shibusawa, Nobuyuki, Nishi, Hiroshi, Noritake, Nobuyasu, Oda, Takashi, Okamoto, Hideki, Kasuga, Hirotake, Hori, Hiroshi, Ito, Yukiko, Mizukoshi, Toshihiro, Ishii, Hideto, Han, Seung Hyeok, Kim, Hyung Woo, Oh, Kook-Hwan, Han, Seung Seok, Han, Sang Youb, Cha, Dae Ryong, Cha, Jin Joo, Kwon, Soon-Kil, Cho, Hyunjeong, Kim, Hye-Young, Kim, Sun Moon, Lee, Jung Pyo, Lee, Jeonghwan, Lee, Li Yuan, Chang, Meng Lee, Laang, Shian Tuck, Tan, Zhao Zhi, Ahmad Rosdi, Hajar, Mohammad Ismail, Siti Hafizah, Simatherai, Devamalar, Tay, Ju Fan, Wong, Eddie, Fook Sem, Yakob, Suryati, Abdul Sukur, Noorhafini, Anuar, Amalina, Md. Rasid, Syaliza, Mushaddik, Irma Liyana, Mustafar, Ruslinda, Abu Shamsi, Muhammad Yusuf, Fong, Voon Ken, Kamaruzaman, Lydia, Mohd, Rozita, Wan Daud, Wan Rohaslizan, Wan Hassan, Wan Hasnul Halimi, Ab Hamid, Suhaidarwani, Abdullah, Muhammad Nabil, Yusoff, Mohd Yusran, Ramanathan, G R Letchuman, Lee, Kim Yen, Wan Ismail, Wan Fadhilah, Morales Villegas, Enrique, Ramirez Baez, Rubria, Vital Lopez, Jorge, Arias Delgadillo, Cristhian, Herrera Marmolejo, Marisol, Parra Perez, Rosa, Alpizar Salazar, Melchor, Flores Montealegre, Ana, Galvan Magaña, Jose, Gutierrez Tlapale, Minerva, Reyes Munguia, Daniela, Witczak, Bartlomiej, Gøransson, Lasse, Strand Thorsen, Inga, Caringal, Clodoaido, Villardo, Mario, Toledo, Ronaldo, Dijamco, Emerlinda Fausto, De Asis, Norman Cornelio, Kuizon, Angelica, Catindig, Elizabeth Ann, Perez, Ronald, Aquitania, Grace, Pableo, Jimrie David, Sanchez, Jay Karlou, Czernecka, Ewa, Cegiel, Aleksandra, Knychas, Dorota, Ochnio, Malgorzata, Kuligowska-Jakubowska, Monika, Cesarz, Marek, Kowalewska-Celejewska, Milena, Masajtis-Zagajewska, Anna, Jankowski, Lukasz, Ojrzanowski, Marcin, Olszewska-Jander, Magdalena, Skokowska, Ewa, Giermakowska-Samek, Malgorzata, Luchowska, Elzbieta, Patkowska, Renata, Sekulska, Marzenna, Marczuk-Krynicka, Dorota, Marciniak, Andrzej, Barwijuk, Michal, Myslicki, Marcin, Siek, Michal, Wronska, Danuta, Tomsia-Goncerz, Jadwiga, Wronski, Krzysztof, Junik, Roman, Dzialak, Szymon, Kurlapska, Ewelina, Malecha, Wieslaw, Suwala, Szymon, Branco, Patrícia, Birne, Rita, Raposo, João, Ferreira, Marta, Alexandrino, Henrique, Alves, Helena, Correia, Sara, Oliveira, Maria João, Ramalho, Diogo, Tavares, Patricia, Coetzee, Kathleen, Blignaut, Sue, Viljoen, Winifred, Potgieter, Elsje, Malherbe, Elmien, Ortiz Arduán, Alberto, Goma Garcés, Elena, Pérez, María, Santamaría, Rafael, López López, Isabel, Pendón de Mier, Victoria, Rodelo Haad, Cristian, Marques, María, Domènech, Esther, Portoles, Josep Maria, Soler, María José, Agraz, Irene, Azancot, María Antonieta, Bermejo, Sheila, Bolufer, Mónica, López, Marina, Ramos, Natalia, Toapanta, Néstor, Cigarrán Guldris, Secundino, Primo, Juan Carlos, Pérez, Luis Enrique, Rebollido Fernández, María, Holmer, Helene, Bruchfeld, Annette, Rofors, Justus, Tengmark, Bengt-Olov, Wuerzner, Gregoire, Leanizbarrutia, Garazi, Ozturk, Savas, Guler, Nurana, Safak, Seda, Lee, Keung, Campbell, Stephen, Siddiqui, Imran, Abbasi, Nadia, Tahir, Faiza, Azizad, Masoud, Jackson, Timothy, Everhart, Brian, Oliver, Michael, Rust, William, Sniezek, Matthew, Arif, Ahmed, Syed, Mohammed, Bhasin, Nitin, Bien, Michael, Gallego, Claudio, Jamal, Aamir, Moghadam, Mojtaba, Rizvi, Abid, Rizvi, Amna, Rizvi, Syed, Wong, Christopher, Lucas, Kathryn, Buery, Andrea, Chang, Ku-Lang, Presswood, Claire, Smith, Justin, Doshi, Ankur, Parikh, Manish, Wallace, Jeannine, Krishna, Arvind, Daugherty, Heidi, Fearday, Aaron, Keller, Christopher, Meng, Jerry, Nielsen, Alexandra, Rovner, Sergio, Almeida, Javier, Marranzini, Benito, Selby, Lisa, Yablon, Zachary, Jean-Louis, Daphne, Kotzker, Wayne, Perez, Chabely, Richards, Marc, Rosario, Reinaldo, Marcus, Roy, Okechukwu, Chike, Ross, Dennis, Gromala, Rachel, Reed, Matthew, Weber, Lisa, Nazeer, Imran, Kumar, Prashant, Mir, Muhammad, Shea, Heidi, Hart, Amanda, Wiebel, Jaime, Kooienga, Laura, Newsome, Britt, Suyumova, Irina, Alvarez, German, Bireddy, Venkata, Lansang, Maria, Mandry, Jose, Freire, Maria, Herrera Albornoz, Oscarina, Desai, Anant, Gandhi, Dayan, Rajan, Sibu, Raymond, Louis, Posada, Jorge, Garcia-Mayol, Luis, Gutierrez-Alsina, Rodolfo, Fernandez, Juan, Bruce, Kendaling, Cuellar, Juan, Ranz y Alvarez, Maria, Bartolacci, Ines, Pautasso, Mauro, Stoppa, Daniela, Riella, Miguel, Barbosa, Maria, Harcsa, Eleonora, Gulati, Yuvraj, Savalia, Denish, Khetan, Prakash, Sinha, Dhananjay, R, Niranjan, K, Srinivas, Pazos, Fabiola, Gacutan-Liwag, Aretha, Duszynska, Malgorzata, Antkowiak-Piatyszek, Karolina, Konieczny, Grzegorz, Sidorowicz-Bialynicka, Anna, Ciesiolkiewicz-Wojcik, Agnieszka, Dwojak, Marek, Szymkowiak, Katarzyna, Gorczyca-Siudak, Daria, Janik-Palazzolo, Marzena, Siudak, Lukasz, Opiela, Jaroslaw, Iwanow, Dariusz, Solkiewicz, Monika, Sipinska-Surzynska, Malgorzata, Olszanecka - Glinianowicz, Magdalena, Rozmilowska, Izabela, Trokis, Julian, Prozesky, Hans, Burgess, Lesley, Cyster, Henry, Jordaan, Jurie, Mohamed, Hawa, Naude, Christina, Sitsila, Thembie, Mehta, Arvind, Mocherla, Bharat, Lee, Sungchun, Boren, Kenneth, Rudolph, Lance, Benjamin, Sabrina, Sugimoto, Danny, Hammoud, Jamal, Bakleh, Muhammad, Hashish, Yaseen, Da Costa, Jonathan, Gold, Marina, Majul, Claudio, Buscema, Juan, Gatto, Maria, Lombardi, Facundo, Paez, Olga, Puleio, Pablo, Alvarisqueta, Andrés, Pajon, Vanessa, Suarez, Gabriel, Hernandez Gauna, Adrian, Pereyra, Alejandro, Reig, Moira, Gelersztein, Elizabeth, Campestri, Gina, Gonzalez Santos, Maria, Sambresqui, Julieta, Catalano, Gustavo, Igarzabal, Cecilia, Vallejos, Augusto, Escobari, Claudio, Marchetto, Rocio, Chahin, Mariano, Aguilera, Andrea, Comes, Ana, Rodriguez Segade, Silvia, Baccaro, Claudia, Larrieu Lacoste, María Verónica, Saurral, Ruben, Cristino, Alberto, Dran, Dario, Koretzky, Martin, Ponti, Juan, Porto, Alejandro, Tenaglia, Yasmin, Maldonado, Natacha, Bertollo, Natalia, Van Perdeck, Verónica, Lopau, Kai, Wanner, Christoph, Berfelo, Florieke, Contzen, Christel, Arbi, Abdulwahab, Lee-Barkey, Young Hee, Maciejewska, Aleksandra, Arelin, Katrin, Haller, Hermann, Kaufeld, Jessica, Schmidt-Ott, Kai, Heinrichs, Sven, Krüger, Thilo, Gebauer, Chris, Paliege, Alexander, Henkel, Elena, Axthelm, Christoph, Derwahl, Karl-Michael, Trevisan, Roberto, Bellante, Rosalia, Borrella, Nicolò, Corsi, Anna, Gesualdo, Loreto, Ardillo, Teodora, Ficarella, Maria, Fikry, Sameh, Mazza, Giuseppe, Poirier, Lysane, Bajaj, Harpreet, Hatziagelaki, Erifili, Katopodis, Sokratis, Katsoudas, Spiros, Yamaura, Shuichi, Shikano, Tsutomu, Tosaki, Takahiro, Miho, Otoya, Tachibana, Naoki, Yumita, Wataru, Kado, Hiroshi, Villarreal Martinez, Jesus, Soto Miranda, Ernesto, Gonzalez Rodriguez, David, Panelo, Araceli, Santos, Telma, Martins, Ana, Mateus, Catarina, Teixeira e Costa, Fernando, Barreto, Sara, Silva Costa, Joana, Ferrer, Francisco, Silva, Joana, Awad, Ahmed, Khaleel, Shatha, Lustig, Ryan, Maharjan, Gajendra, Moya, Jaynier, Johnsingh, Amit, Acosta, Idalia, Newman, George, Buckle, Anita, and Hendon, Kendra

Published
2024
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