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Hong Kong Polytechnic University
Remove constraint Publisher: Hong Kong Polytechnic University
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Video
Remove constraint Resource Type: Video
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Video
We introduce a Dimension-Reduced Second-Order Method (DRSOM) for convex and nonconvex (unconstrained) optimization. Under a trust-region-like framework, our method preserves the convergence of the second-order method while using only Hessian-vector products in two directions. Moreover; the computational overhead remains comparable to the first-order such as the gradient descent method. We show that the method has a local super-linear convergence and a global convergence rate of 0(∈-3/2) to satisfy the first-order and second-order conditions under a commonly used approximated Hessian assumption. We further show that this assumption can be removed if we perform one step of the Krylov subspace method at the end of the algorithm, which makes DRSOM the first first-order-type algorithm to achieve this complexity bound. The applicability and performance of DRSOM are exhibited by various computational experiments in logistic regression, L2-Lp minimization, sensor network localization, neural network training, and policy optimization in reinforcement learning. For neural networks, our preliminary implementation seems to gain computational advantages in terms of training accuracy and iteration complexity over state-of-the-art first-order methods including SGD and ADAM. For policy optimization, our experiments show that DRSOM compares favorably with popular policy gradient methods in terms of the effectiveness and robustness.
Event date: 19/09/2022
Speaker: Prof. Yinyu Ye (Stanford University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Convex programming Nonconvex programming Mathematical optimization
- Resource Type:
- Video
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Video
PolyU AAE students guide you through the flight procedures of an A320 Flight Stimulator.
- Subjects:
- Aeronautical and Aviation Engineering
- Keywords:
- Flight training -- Simulation methods Flight simulators
- Resource Type:
- Video
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Video
An online lecture on the topic of "10 Things about Fashion Branding".The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Fashion retailing and merchandising
- Keywords:
- Bring (Marketing) Br name products
- Resource Type:
- Video
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Video
An online lecture on the topic of "Fast Fashion, Slow Fashion, Green Fashion".The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Fashion retailing and merchandising
- Keywords:
- Clothing trade -- Environmental aspects Fashion merchising
- Resource Type:
- Video
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Video
An online lecture on the topic of "Fashion Retailing - Online or Offine?".The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Fashion retailing and merchandising
- Keywords:
- Electronic commerce Fashion merchising Retail trade
- Resource Type:
- Video
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Video
An online lecture on the topic of "Fashion & Chemistry". The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Technology and Textiles
- Keywords:
- Textile fabrics -- Technological innovations
- Resource Type:
- Video
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Video
An online lecture on the topic of "Olympic and Sportswear Innovation". The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Technology, Design, and Textiles
- Keywords:
- Textile fabrics -- Technological innovations Bathing suits Sport clothes
- Resource Type:
- Video
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Video
An online lecture on the topic of "Wardrobe of Marie Antoinette - the last queen of France before French Revolution". The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Fashion
- Keywords:
- Marie Antoinette Queen consort of Louis XVI King of France 1755-1793 -- Clothing Fashion
- Resource Type:
- Video
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Video
An online lecture on the topic of "10 easy styling tips of all time". The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Fashion
- Keywords:
- Clothing dress Fashion
- Resource Type:
- Video
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Video
An online lecture on the topic of "Function and Fashion: Eco-friendly Reusable Mask Developed by PolyU". The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Keywords:
- Design -- Environmental aspects Masks -- Design
- Resource Type:
- Video