Physics-Guided Loss Functions Improve Deep Learning Performance in Inverse Scattering | IEEE Journals & Magazine | IEEE Xplore

Physics-Guided Loss Functions Improve Deep Learning Performance in Inverse Scattering


Abstract:

Solving electromagnetic inverse scattering problems (ISPs) is challenging due to the intrinsic nonlinearity, ill-posedness, and expensive computational cost. Recently, de...Show More

Abstract:

Solving electromagnetic inverse scattering problems (ISPs) is challenging due to the intrinsic nonlinearity, ill-posedness, and expensive computational cost. Recently, deep neural network (DNN) techniques have been successfully applied on ISPs and shown potential of superior imaging over conventional methods. In this paper, we discuss techniques for effective incorporation of important physical phenomena in the training process. We show the importance of including near-field priors in the learning process of DNNs. To this end, we propose new designs of loss functions which incorporate multiple-scattering based near-field quantities (such as scattered fields or induced currents within domain of interest). Effects of physics-guided loss functions are studied using a variety of numerical experiments. Pros and cons of the investigated ISP solvers with different loss functions are summarized.
Published in: IEEE Transactions on Computational Imaging ( Volume: 8)
Page(s): 236 - 245
Date of Publication: 15 March 2022

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Author image of Zicheng Liu
Department of Electronic Engineering, School of Electronics and Information, Northwestern Polytechnical University, Xi’an, China
Department of Physics and Technology, UiT The Arctic University of Norway, Tromsø, Norway
Zicheng Liu was born in Henan, China. He received the M.S. degree in circuit and system from Xidian University, Xi’an, China, in 2014, and the Ph.D. degree in signal and image processing from Paris-Saclay University, Orsay, France, in 2017. He is currently an Associate Professor with Northwestern Polytechnical University, Xi’an, China. From 2017 to 2018, he was a Postdoctoral Researcher with Paris-Saclay University, Gif-s...Show More
Zicheng Liu was born in Henan, China. He received the M.S. degree in circuit and system from Xidian University, Xi’an, China, in 2014, and the Ph.D. degree in signal and image processing from Paris-Saclay University, Orsay, France, in 2017. He is currently an Associate Professor with Northwestern Polytechnical University, Xi’an, China. From 2017 to 2018, he was a Postdoctoral Researcher with Paris-Saclay University, Gif-s...View more
Author image of Mayank Roy
Department of Computer Science, UiT The Arctic University of Norway, Tromsø, Norway
Mayank Roy received the B.Tech. degree in electronics and communication engineering from the Indian Institute of Technology, (Indian School of Mines) Dhanbad, India. He is currently working toward the M.S. degree with the Department of Computer Science, UiT The Arctic University of Norway, romso, Norway. His research interests include deep learning and optical nanoscopy.
Mayank Roy received the B.Tech. degree in electronics and communication engineering from the Indian Institute of Technology, (Indian School of Mines) Dhanbad, India. He is currently working toward the M.S. degree with the Department of Computer Science, UiT The Arctic University of Norway, romso, Norway. His research interests include deep learning and optical nanoscopy.View more
Author image of Dilip K. Prasad
Department of Computer Science, UiT The Arctic University of Norway, Tromsø, Norway
Dilip K. Prasad (Senior Member, IEEE) received the B.Tech. degree in computer science and engineering from the Indian Institute of Technology (Indian School of Mines), Dhanbad, India, in 2003, and the Ph.D. degree in computer science and engineering from Nanyang Technological University, Singapore, in 2013. He is currently an Associate Professor with the Department of Computer Science, UiT The Arctic University of Norway,...Show More
Dilip K. Prasad (Senior Member, IEEE) received the B.Tech. degree in computer science and engineering from the Indian Institute of Technology (Indian School of Mines), Dhanbad, India, in 2003, and the Ph.D. degree in computer science and engineering from Nanyang Technological University, Singapore, in 2013. He is currently an Associate Professor with the Department of Computer Science, UiT The Arctic University of Norway,...View more
Author image of Krishna Agarwal
Department of Physics and Technology, UiT The Arctic University of Norway, Tromsø, Norway
Krishna Agarwal received the B.Tech. degree from the Indian Institute of Technology (Indian School of Mines), Dhanbad, India, in 2003, and the Ph.D. degree from the National University of Singapore, Singapore, in 2011. She was a Postdoctoral Associate with Singapore-MIT Alliance Research & Technology Centre from 2014 to 2016. She was a Research Fellow with the National University of Singapore from 2010 to 2014. She was a ...Show More
Krishna Agarwal received the B.Tech. degree from the Indian Institute of Technology (Indian School of Mines), Dhanbad, India, in 2003, and the Ph.D. degree from the National University of Singapore, Singapore, in 2011. She was a Postdoctoral Associate with Singapore-MIT Alliance Research & Technology Centre from 2014 to 2016. She was a Research Fellow with the National University of Singapore from 2010 to 2014. She was a ...View more

Author image of Zicheng Liu
Department of Electronic Engineering, School of Electronics and Information, Northwestern Polytechnical University, Xi’an, China
Department of Physics and Technology, UiT The Arctic University of Norway, Tromsø, Norway
Zicheng Liu was born in Henan, China. He received the M.S. degree in circuit and system from Xidian University, Xi’an, China, in 2014, and the Ph.D. degree in signal and image processing from Paris-Saclay University, Orsay, France, in 2017. He is currently an Associate Professor with Northwestern Polytechnical University, Xi’an, China. From 2017 to 2018, he was a Postdoctoral Researcher with Paris-Saclay University, Gif-sur-Yvette, France, from 2018 to 2019, he was with Telecom Paris, Palaiseau, France, and from 2019 to 2021, with UiT The Arctic University of Norway, Tromso, Norway. His research interests include modeling and inverse problems in electromagnetic imaging and human exposure dosimetry.
Zicheng Liu was born in Henan, China. He received the M.S. degree in circuit and system from Xidian University, Xi’an, China, in 2014, and the Ph.D. degree in signal and image processing from Paris-Saclay University, Orsay, France, in 2017. He is currently an Associate Professor with Northwestern Polytechnical University, Xi’an, China. From 2017 to 2018, he was a Postdoctoral Researcher with Paris-Saclay University, Gif-sur-Yvette, France, from 2018 to 2019, he was with Telecom Paris, Palaiseau, France, and from 2019 to 2021, with UiT The Arctic University of Norway, Tromso, Norway. His research interests include modeling and inverse problems in electromagnetic imaging and human exposure dosimetry.View more
Author image of Mayank Roy
Department of Computer Science, UiT The Arctic University of Norway, Tromsø, Norway
Mayank Roy received the B.Tech. degree in electronics and communication engineering from the Indian Institute of Technology, (Indian School of Mines) Dhanbad, India. He is currently working toward the M.S. degree with the Department of Computer Science, UiT The Arctic University of Norway, romso, Norway. His research interests include deep learning and optical nanoscopy.
Mayank Roy received the B.Tech. degree in electronics and communication engineering from the Indian Institute of Technology, (Indian School of Mines) Dhanbad, India. He is currently working toward the M.S. degree with the Department of Computer Science, UiT The Arctic University of Norway, romso, Norway. His research interests include deep learning and optical nanoscopy.View more
Author image of Dilip K. Prasad
Department of Computer Science, UiT The Arctic University of Norway, Tromsø, Norway
Dilip K. Prasad (Senior Member, IEEE) received the B.Tech. degree in computer science and engineering from the Indian Institute of Technology (Indian School of Mines), Dhanbad, India, in 2003, and the Ph.D. degree in computer science and engineering from Nanyang Technological University, Singapore, in 2013. He is currently an Associate Professor with the Department of Computer Science, UiT The Arctic University of Norway, Tromsø, Norway. He was a Senior Research Fellow with Nanyang Technological University, from 2015 to 2019, and a Research Fellow with the National University of Singapore, Singapore from 2012 to 2015. Prior to Ph.D, he was for five years with IBM, Infosys, Mediatek and Philips. He has been selected as a Fellow for Kauffman Global Scholarship in 2011, in which he was trained in entrepreneurship with Harvard University, Cambridge, MA, USA, Massachusetts Institute of Technology Cambridge, MA, USA, Stanford University, Stanford, CA, USA, and Kauffman Foundation. He has authored or coauthored more than 100 internationally peer-reviewed research articles and patents. His research interests include image processing, pattern recognition and artificial intelligence.
Dilip K. Prasad (Senior Member, IEEE) received the B.Tech. degree in computer science and engineering from the Indian Institute of Technology (Indian School of Mines), Dhanbad, India, in 2003, and the Ph.D. degree in computer science and engineering from Nanyang Technological University, Singapore, in 2013. He is currently an Associate Professor with the Department of Computer Science, UiT The Arctic University of Norway, Tromsø, Norway. He was a Senior Research Fellow with Nanyang Technological University, from 2015 to 2019, and a Research Fellow with the National University of Singapore, Singapore from 2012 to 2015. Prior to Ph.D, he was for five years with IBM, Infosys, Mediatek and Philips. He has been selected as a Fellow for Kauffman Global Scholarship in 2011, in which he was trained in entrepreneurship with Harvard University, Cambridge, MA, USA, Massachusetts Institute of Technology Cambridge, MA, USA, Stanford University, Stanford, CA, USA, and Kauffman Foundation. He has authored or coauthored more than 100 internationally peer-reviewed research articles and patents. His research interests include image processing, pattern recognition and artificial intelligence.View more
Author image of Krishna Agarwal
Department of Physics and Technology, UiT The Arctic University of Norway, Tromsø, Norway
Krishna Agarwal received the B.Tech. degree from the Indian Institute of Technology (Indian School of Mines), Dhanbad, India, in 2003, and the Ph.D. degree from the National University of Singapore, Singapore, in 2011. She was a Postdoctoral Associate with Singapore-MIT Alliance Research & Technology Centre from 2014 to 2016. She was a Research Fellow with the National University of Singapore from 2010 to 2014. She was a Scientist with the Defence Research and Development Organization, India, from 2003 to 2006, and worked towards the development of the front end of the active phased array radars. She is currently an Associate Professor with UiT-The Arctic University of Norway, Tromsø, Norway. Her research interests include computational nanoscopy, super-resolution imaging, and inverse problems. She was the recipient of the Distinguished Alumnus Award from the Indian Institute of Technology (Indian School of Mines), Dhanbad India, in 2020, and the Marie Skłodowska-Curie Actions Individual Fellowship during 2017–2019. She was awarded the Young Scientist Award by Union Radio Scientifique Internationale (URSI) in the year 2011.
Krishna Agarwal received the B.Tech. degree from the Indian Institute of Technology (Indian School of Mines), Dhanbad, India, in 2003, and the Ph.D. degree from the National University of Singapore, Singapore, in 2011. She was a Postdoctoral Associate with Singapore-MIT Alliance Research & Technology Centre from 2014 to 2016. She was a Research Fellow with the National University of Singapore from 2010 to 2014. She was a Scientist with the Defence Research and Development Organization, India, from 2003 to 2006, and worked towards the development of the front end of the active phased array radars. She is currently an Associate Professor with UiT-The Arctic University of Norway, Tromsø, Norway. Her research interests include computational nanoscopy, super-resolution imaging, and inverse problems. She was the recipient of the Distinguished Alumnus Award from the Indian Institute of Technology (Indian School of Mines), Dhanbad India, in 2020, and the Marie Skłodowska-Curie Actions Individual Fellowship during 2017–2019. She was awarded the Young Scientist Award by Union Radio Scientifique Internationale (URSI) in the year 2011.View more

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