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UID:20251126T140353EST-99942BU4i7@132.216.98.100
DTSTAMP:20251126T190353Z
DESCRIPTION:Title: Deep P-Spline: Theory\, Fast Tuning\, and Application.\n
 \nAbstract:\n\nDeep neural networks (DNNs) have become a standard tool for
  tackling complex regression problems\, yet identifying an optimal network
  architecture remains a fundamental challenge. In this work\, we connect n
 euron selection in DNNs with knot placement in basis expansion methods. Bu
 ilding on this connection\, we propose a difference-penalty approach that 
 automates knot selection and\, in turn\, simplifies the process of choosin
 g neurons. We call this method Deep P-Spline (DPS). This approach extends 
 the class of models considered in conventional DNN modeling and forms the 
 basis for a latent-variable modeling framework using the Expectation–Condi
 tional Maximization (ECM) algorithm for efficient network structure tuning
  with theoretical guarantees. From the perspective of nonparametric regres
 sion\, DPS alleviates the curse of dimensionality\, allowing effective ana
 lysis of high-dimensional data where conventional methods often fail. Thes
 e properties make DPS particularly well suited for applications such as co
 mputer experiments and image data analysis\, where regression tasks routin
 ely involve a large number of inputs. Numerical studies demonstrate the st
 rong performance of DPS\, underscoring its potential as a powerful tool fo
 r advanced nonlinear regression problems.\n\nSpeaker\n\nLi-Hsiang Lin is a
 n Assistant Professor in the Department of Mathematics and Statistics at G
 eorgia State University. He received his Ph.D. in Industrial Engineering\,
  with a major in Statistics and a minor in Machine Learning\, from the Geo
 rgia Institute of Technology in 2020. He then served as a Postdoctoral Fel
 low at the Georgia Institute of Technology and joined Louisiana State Univ
 ersity as an Assistant Professor in 2021. He joined Georgia State Universi
 ty in 2023\, where he currently holds the position of Assistant Professor.
  Professor Lin also serves on the editorial boards of Systems and Soft Com
 puting\, the Journal of Statistical Computation and Simulation\, and Data 
 Science in Science.\n\nhttps://mcgill.zoom.us/j/86339405056\n\nMeeting ID:
  863 3940 5056\n\nPasscode: None\n\n \n
DTSTART:20251128T203000Z
DTEND:20251128T213000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Li-Hsiang Lin (Georgia State University)
URL:/sustainability/channels/event/li-hsiang-lin-georg
 ia-state-university-369297
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