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Landscape Analysis of Overcomplete Tensor and Neural Collapse
Landscape Analysis of Overcomplete Tensor and Neural Collapse Qing Qu Dept. of EECS, University of Michigan May 17, 2021 Outline of this Talk • Introduction • Overcomplete Tensor Decomposition (Representation Learning) • Neural Collapse in Deep Network Training Outline of this Talk • Introduction • Overcomplete Tensor Decomposition (Representation Learning) • Neural Collapse in Deep Network Training Nonconvex Problems in Representation Learning 5/18/21 4 General Nonconvex Problems 5/18/21 5 General Nonconvex Problems 5/18/21 6 General Nonconvex Problems 5/18/21 7 Optimizing Nonconvex Problems Globally 5/18/21 8 Nonconvex Problems with Benign Landscape • Generalized Phase Retrieval [Sun’18] • Low-rank Matrix Recovery [Ma’16, Jin’17, Chi’19] • (Convolutional) Sparse Dictionary Learning [Sun’16, Qu’20] • (Orthogonal) Tensor Decomposition [Ge’15] • Sparse Blind Deconvolution [Zhang’17, Li’18, Kuo’19] • Deep Linear Network [Kawaguchi’16] • ... 5/18/21 9 Outline of this Talk • Introduction • Overcomplete Tensor Decomposition (Representation Learning) • Neural Collapse in Deep Network Training Landscape Analysis of Overcomplete Learning Q. Qu, Y. Zhai, X. Li, Y. Zhang, Z. Zhu, Analysis of optimization landscapes for overcomplete learning, ICLR’20, (oral, top 1.9%) • Provide the global landscape for overcomplete representation learning problems. • Explains why they can be efficiently optimized to global optimality Overcomplete Tensor Decomposition We consider decomposing a 4-th order tensor of rank m in the following form Core problem for several unsupervised representation learning problems (ICA and mixture of Gaussian [Anandkumar’12], dictionary learning [Barak’14,Qu’20]), and even training neural networks [Ge’17]. Overcomplete Tensor Decomposition A natural (nonconvex) objective to find one component Overcomplete Tensor Decomposition Overcomplete Tensor Decomposition • For overcomplete case, most of existing landscape analysis results [Ge’17] are local, or are based on Sum-of-Squares relaxations [Barak’15, Ma’16] which is computationally expensive. -
Kūnqǔ in Practice: a Case Study
KŪNQǓ IN PRACTICE: A CASE STUDY A DISSERTATION SUBMITTED TO THE GRADUATE DIVISION OF THE UNIVERSITY OF HAWAI‘I AT MĀNOA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY IN THEATRE OCTOBER 2019 By Ju-Hua Wei Dissertation Committee: Elizabeth A. Wichmann-Walczak, Chairperson Lurana Donnels O’Malley Kirstin A. Pauka Cathryn H. Clayton Shana J. Brown Keywords: kunqu, kunju, opera, performance, text, music, creation, practice, Wei Liangfu © 2019, Ju-Hua Wei ii ACKNOWLEDGEMENTS I wish to express my gratitude to the individuals who helped me in completion of my dissertation and on my journey of exploring the world of theatre and music: Shén Fúqìng 沈福庆 (1933-2013), for being a thoughtful teacher and a father figure. He taught me the spirit of jīngjù and demonstrated the ultimate fine art of jīngjù music and singing. He was an inspiration to all of us who learned from him. And to his spouse, Zhāng Qìnglán 张庆兰, for her motherly love during my jīngjù research in Nánjīng 南京. Sūn Jiàn’ān 孙建安, for being a great mentor to me, bringing me along on all occasions, introducing me to the production team which initiated the project for my dissertation, attending the kūnqǔ performances in which he was involved, meeting his kūnqǔ expert friends, listening to his music lessons, and more; anything which he thought might benefit my understanding of all aspects of kūnqǔ. I am grateful for all his support and his profound knowledge of kūnqǔ music composition. Wichmann-Walczak, Elizabeth, for her years of endeavor producing jīngjù productions in the US. -
Animals and Morality Tales in Hayashi Razan's Kaidan Zensho
University of Massachusetts Amherst ScholarWorks@UMass Amherst Masters Theses Dissertations and Theses March 2015 The Unnatural World: Animals and Morality Tales in Hayashi Razan's Kaidan Zensho Eric Fischbach University of Massachusetts Amherst Follow this and additional works at: https://scholarworks.umass.edu/masters_theses_2 Part of the Chinese Studies Commons, Japanese Studies Commons, and the Translation Studies Commons Recommended Citation Fischbach, Eric, "The Unnatural World: Animals and Morality Tales in Hayashi Razan's Kaidan Zensho" (2015). Masters Theses. 146. https://doi.org/10.7275/6499369 https://scholarworks.umass.edu/masters_theses_2/146 This Open Access Thesis is brought to you for free and open access by the Dissertations and Theses at ScholarWorks@UMass Amherst. It has been accepted for inclusion in Masters Theses by an authorized administrator of ScholarWorks@UMass Amherst. For more information, please contact [email protected]. THE UNNATURAL WORLD: ANIMALS AND MORALITY TALES IN HAYASHI RAZAN’S KAIDAN ZENSHO A Thesis Presented by ERIC D. FISCHBACH Submitted to the Graduate School of the University of Massachusetts Amherst in partial fulfillment of the requirements for the degree of MASTER OF ARTS February 2015 Asian Languages and Literatures - Japanese © Copyright by Eric D. Fischbach 2015 All Rights Reserved THE UNNATURAL WORLD: ANIMALS AND MORALITY TALES IN HAYASHI RAZAN’S KAIDAN ZENSHO A Thesis Presented by ERIC D. FISCHBACH Approved as to style and content by: __________________________________________ Amanda C. Seaman, Chair __________________________________________ Stephen Miller, Member ________________________________________ Stephen Miller, Program Head Asian Languages and Literatures ________________________________________ William Moebius, Department Head Languages, Literatures, and Cultures ACKNOWLEDGMENTS I would like to thank all my professors that helped me grow during my tenure as a graduate student here at UMass. -
(12) Patent Application Publication (10) Pub. No.: US 2014/0278344 A1 XIAO (43) Pub
US 20140278344A1 (19) United States (12) Patent Application Publication (10) Pub. No.: US 2014/0278344 A1 XIAO (43) Pub. Date: Sep. 18, 2014 (54) ENGLISHTRAINING METHOD AND DEVICE (57) ABSTRACT (71) Applicant: Yunfei XIAO, Flushing, NY (US) The present disclosure provides an English training method, (72) Inventor: Yunfei XIAO, Flushing, NY (US) including the following steps: classifying and storing words (21) Appl. No.: 14/202,604 according to predetermined word classification rules; receiv ing a user command for extracting a corresponding word (22) Filed: Mar 10, 2014 according to a classification of the word, and extracting the corresponding word according to the user command and out (30) Foreign Application Priority Data putting the word in audio or video form; the word classifica tion rules including: combining two consonants with five Mar. 15, 2013 (CN) ......................... 2013 10084532.3 Vowels a, e, i, o, and u respectively to form words; or using a Publication Classification main word or a transformation of the main word as a main body, and combining the main body with 26 letters of the (51) Int. Cl. English alphabet in sequence to form words; or combining the G09B 9/06 (2006.01) five vowels a, e, i, o, and u with other letters of the English G06F 7/28 (2006.01) alphabet to form word roots, and combining each of the word (52) U.S. Cl. roots with the 26 letters of the English alphabet in sequence to CPC ................ G09B 19/06 (2013.01); G06F 17/28 form words; or matching a whole English sentence or a whole (2013.01) English paragraph with a Chinese song; or noting a pronun USPC ............................................................. -
Is Shuma the Chinese Analog of Soma/Haoma? a Study of Early Contacts Between Indo-Iranians and Chinese
SINO-PLATONIC PAPERS Number 216 October, 2011 Is Shuma the Chinese Analog of Soma/Haoma? A Study of Early Contacts between Indo-Iranians and Chinese by ZHANG He Victor H. Mair, Editor Sino-Platonic Papers Department of East Asian Languages and Civilizations University of Pennsylvania Philadelphia, PA 19104-6305 USA [email protected] www.sino-platonic.org SINO-PLATONIC PAPERS FOUNDED 1986 Editor-in-Chief VICTOR H. MAIR Associate Editors PAULA ROBERTS MARK SWOFFORD ISSN 2157-9679 (print) 2157-9687 (online) SINO-PLATONIC PAPERS is an occasional series dedicated to making available to specialists and the interested public the results of research that, because of its unconventional or controversial nature, might otherwise go unpublished. The editor-in-chief actively encourages younger, not yet well established, scholars and independent authors to submit manuscripts for consideration. Contributions in any of the major scholarly languages of the world, including romanized modern standard Mandarin (MSM) and Japanese, are acceptable. In special circumstances, papers written in one of the Sinitic topolects (fangyan) may be considered for publication. Although the chief focus of Sino-Platonic Papers is on the intercultural relations of China with other peoples, challenging and creative studies on a wide variety of philological subjects will be entertained. This series is not the place for safe, sober, and stodgy presentations. Sino- Platonic Papers prefers lively work that, while taking reasonable risks to advance the field, capitalizes on brilliant new insights into the development of civilization. Submissions are regularly sent out to be refereed, and extensive editorial suggestions for revision may be offered. Sino-Platonic Papers emphasizes substance over form. -
Last Name First Name/Middle Name Course Award Course 2 Award 2 Graduation
Last Name First Name/Middle Name Course Award Course 2 Award 2 Graduation A/L Krishnan Thiinash Bachelor of Information Technology March 2015 A/L Selvaraju Theeban Raju Bachelor of Commerce January 2015 A/P Balan Durgarani Bachelor of Commerce with Distinction March 2015 A/P Rajaram Koushalya Priya Bachelor of Commerce March 2015 Hiba Mohsin Mohammed Master of Health Leadership and Aal-Yaseen Hussein Management July 2015 Aamer Muhammad Master of Quality Management September 2015 Abbas Hanaa Safy Seyam Master of Business Administration with Distinction March 2015 Abbasi Muhammad Hamza Master of International Business March 2015 Abdallah AlMustafa Hussein Saad Elsayed Bachelor of Commerce March 2015 Abdallah Asma Samir Lutfi Master of Strategic Marketing September 2015 Abdallah Moh'd Jawdat Abdel Rahman Master of International Business July 2015 AbdelAaty Mosa Amany Abdelkader Saad Master of Media and Communications with Distinction March 2015 Abdel-Karim Mervat Graduate Diploma in TESOL July 2015 Abdelmalik Mark Maher Abdelmesseh Bachelor of Commerce March 2015 Master of Strategic Human Resource Abdelrahman Abdo Mohammed Talat Abdelziz Management September 2015 Graduate Certificate in Health and Abdel-Sayed Mario Physical Education July 2015 Sherif Ahmed Fathy AbdRabou Abdelmohsen Master of Strategic Marketing September 2015 Abdul Hakeem Siti Fatimah Binte Bachelor of Science January 2015 Abdul Haq Shaddad Yousef Ibrahim Master of Strategic Marketing March 2015 Abdul Rahman Al Jabier Bachelor of Engineering Honours Class II, Division 1 -
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Advances in Social Science, Education and Humanities Research, volume 123 2nd International Conference on Education, Sports, Arts and Management Engineering (ICESAME 2017) Study on the Contribution of Xiling's Poetry to Poetry Flourished in Earlier Qing Dynasty Liping Gu The Engineering & Technical College of Chengdu University of Technology, Leshan, Sichuan, 614000 Keywords: Xiling Poetry, Poetry Flourished, Qing Dynasty Abstract. At the beginning of the Qing Dynasty, Xiling language refers to the late Ming and early Qing Dynasty in Xiling a word activities of the word group, including Xiling capital of the poet, including the official travel in Xiling’s poetry, is a geographical, The family, the teacher as a link to the end of the alliance as an opportunity, while infiltration Xiling heavy word tradition, in the late Ming Dynasty poetry specific poetry language formation in the group of people. They are more rational and objective theory, especially emphasizing the essence of the word speculation, pay attention to the word rhyme and the creation of the law of the summary, whether it is theory or creation, the development of the Qing Dynasty have far-reaching impact. In short, the late Ming and early Qing Dynasty Xiling language in the word from the yuan, the decline since the turn of the Qing Dynasty to the revival of the evolution of this process is a can not be ignored. Introduction The formation and development of the Xiling School are inseparable from the development of the same language. Many people regard the Western Cold School as the rise of the cloud and even as part of the cloud. -
The Treatment of Constraint According to Applied Channel Theory 59
Journal of Chinese Medicine • Number 113 • February 2017 The Treatment of Constraint According to Applied Channel Theory 59 The Treatment of Constraint According to Applied Channel Theory Introduction us to the second important concept of Applied By: Wang Ju-yi Commonly-used concepts in Chinese medicine can Channel Theory - channel qi transformation. and be difficult to comprehend, not only for practitioners Channels are involved with the movement of the Jonathan W. who do not know the Chinese language, but also for body’s qi, blood and fluids. They govern the processes Chang those who are native speakers of Chinese. As the most of nourishment, metabolism, growth and eventual fundamental concepts of Chinese medicine originated decline of the viscera, orifices and tissues of the entire Keywords: over two thousand years ago, modern practitioners body. The channels are essential for controlling and Acupuncture, face an arduous task. In order to grasp these classical regulating the processes of absorption, metabolism Chinese concepts, Dr. Wang Ju-yi believes that we should try and transformation of qi, blood, fluids and nutrients. medicine, to understand how the ancient doctors perceived the All physiological and pathological processes involve applied channel world. To do this, Dr. Wang has developed the habit of qi transformation. It is important to note that each theory, channel researching the etymology of Chinese medical terms. channel has its unique physiology (discussed in palpation, By analysing their original meaning, we can come more detail later in this article) and when there is constraint, yu, to understand how classical physicians used these an impediment in channel physiology, an abnormal 郁, depression, terms to describe the physiological and pathological change will appear in the channel that can be physically stagnation phenomena they observed in their patients. -
An Explanation of Gexing
Front. Lit. Stud. China 2010, 4(3): 442–461 DOI 10.1007/s11702-010-0107-5 RESEARCH ARTICLE XUE Tianwei, WANG Quan An Explanation of Gexing © Higher Education Press and Springer-Verlag 2010 Abstract Gexing 歌行 is a historical and robust prosodic style that flourished (not originated) in the Tang dynasty. Since ancient times, the understanding of the prosody of gexing has remained in debate, which focuses on the relationship between gexing and yuefu 乐府 (collection of ballad songs of the music bureau). The points-of-view held by all sides can be summarized as a “grand gexing” perspective (defining gexing in a broad sense) and four major “small gexing” perspectives (defining gexing in a narrow sense). The former is namely what Hu Yinglin 胡应麟 from Ming dynasty said, “gexing is a general term for seven-character ancient poems.” The first “small gexing” perspective distinguishes gexing from guti yuefu 古体乐府 (tradition yuefu); the second distinguishes it from xinti yuefu 新体乐府 (new yuefu poems with non-conventional themes); the third takes “the lyric title” as the requisite condition of gexing; and the fourth perspective adopts the criterion of “metricality” in distinguishing gexing from ancient poems. The “grand gexing” perspective is the only one that is able to reveal the core prosodic features of gexing and give specification to the intension and extension of gexing as a prosodic style. Keywords gexing, prosody, grand gexing, seven-character ancient poems Received January 25, 2010 XUE Tianwei ( ) College of Humanities, Xinjiang Normal University, Urumuqi 830054, China E-mail: [email protected] WANG Quan International School, University of International Business and Economics, Beijing 100029, China E-mail: [email protected] An Explanation of Gexing 443 The “Grand Gexing” Perspective and “Small Gexing” Perspective Gexing, namely the seven-character (both unified seven-character lines and mixed lines containing seven character ones) gexing, occupies an equal position with rhythm poems in Tang dynasty and even after that in the poetic world. -
The Later Han Empire (25-220CE) & Its Northwestern Frontier
University of Pennsylvania ScholarlyCommons Publicly Accessible Penn Dissertations 2012 Dynamics of Disintegration: The Later Han Empire (25-220CE) & Its Northwestern Frontier Wai Kit Wicky Tse University of Pennsylvania, [email protected] Follow this and additional works at: https://repository.upenn.edu/edissertations Part of the Asian History Commons, Asian Studies Commons, and the Military History Commons Recommended Citation Tse, Wai Kit Wicky, "Dynamics of Disintegration: The Later Han Empire (25-220CE) & Its Northwestern Frontier" (2012). Publicly Accessible Penn Dissertations. 589. https://repository.upenn.edu/edissertations/589 This paper is posted at ScholarlyCommons. https://repository.upenn.edu/edissertations/589 For more information, please contact [email protected]. Dynamics of Disintegration: The Later Han Empire (25-220CE) & Its Northwestern Frontier Abstract As a frontier region of the Qin-Han (221BCE-220CE) empire, the northwest was a new territory to the Chinese realm. Until the Later Han (25-220CE) times, some portions of the northwestern region had only been part of imperial soil for one hundred years. Its coalescence into the Chinese empire was a product of long-term expansion and conquest, which arguably defined the egionr 's military nature. Furthermore, in the harsh natural environment of the region, only tough people could survive, and unsurprisingly, the region fostered vigorous warriors. Mixed culture and multi-ethnicity featured prominently in this highly militarized frontier society, which contrasted sharply with the imperial center that promoted unified cultural values and stood in the way of a greater degree of transregional integration. As this project shows, it was the northwesterners who went through a process of political peripheralization during the Later Han times played a harbinger role of the disintegration of the empire and eventually led to the breakdown of the early imperial system in Chinese history. -
Social Mobility in China, 1645-2012: a Surname Study Yu (Max) Hao and Gregory Clark, University of California, Davis [email protected], [email protected] 11/6/2012
Social Mobility in China, 1645-2012: A Surname Study Yu (Max) Hao and Gregory Clark, University of California, Davis [email protected], [email protected] 11/6/2012 The dragon begets dragon, the phoenix begets phoenix, and the son of the rat digs holes in the ground (traditional saying). This paper estimates the rate of intergenerational social mobility in Late Imperial, Republican and Communist China by examining the changing social status of originally elite surnames over time. It finds much lower rates of mobility in all eras than previous studies have suggested, though there is some increase in mobility in the Republican and Communist eras. But even in the Communist era social mobility rates are much lower than are conventionally estimated for China, Scandinavia, the UK or USA. These findings are consistent with the hypotheses of Campbell and Lee (2011) of the importance of kin networks in the intergenerational transmission of status. But we argue more likely it reflects mainly a systematic tendency of standard mobility studies to overestimate rates of social mobility. This paper estimates intergenerational social mobility rates in China across three eras: the Late Imperial Era, 1644-1911, the Republican Era, 1912-49 and the Communist Era, 1949-2012. Was the economic stagnation of the late Qing era associated with low intergenerational mobility rates? Did the short lived Republic achieve greater social mobility after the demise of the centuries long Imperial exam system, and the creation of modern Westernized education? The exam system was abolished in 1905, just before the advent of the Republic. Exam titles brought high status, but taking the traditional exams required huge investment in a form of “human capital” that was unsuitable to modern growth (Yuchtman 2010). -
The Ideology and Significance of the Legalists School and the School Of
Advances in Social Science, Education and Humanities Research, volume 351 4th International Conference on Modern Management, Education Technology and Social Science (MMETSS 2019) The Ideology and Significance of the Legalists School and the School of Diplomacy in the Warring States Period Chen Xirui The Affiliated High School to Hangzhou Normal University [email protected] Keywords: Warring States Period; Legalists; Strategists; Modern Economic and Political Activities Abstract: In the Warring States Period, the legalist theory was popular, and the style of reforming the country was permeated in the land of China. The Seven Warring States known as Qin, Qi, Chu, Yan, Han, Wei and Zhao have successively changed their laws and set the foundation for the country. The national strength hovers between the valley and school’s doctrines have accelerated the historical process of the Great Unification. The legalists laid a political foundation for the big country, constructed a power framework and formulated a complete policy. On the rule of law, the strategist further opened the gap between the powers of the country. In other words, the rule of law has created conditions for the cross-border family to seek the country and the activity of the latter has intensified the pursuit of the former. This has sparked the civilization to have a depth and breadth thinking of that period, where the need of ideology and research are crucial and necessary. This article will specifically address the background of the legalists, the background of these two generations, their historical facts and major achievements as well as the research into the practical theory that was studies during that period.