A review of deep learning approaches for inverse scattering problems (invited review)

X Chen, Z Wei, L Maokun, P Rocca - Electromagnetic Waves, 2020 - iris.unitn.it
In recent years, deep learning (DL) is becoming an increasingly important tool for solving
inverse scattering problems (ISPs). This paper reviews methods, promises, and pitfalls of …

A review on deep learning MRI reconstruction without fully sampled k-space

G Zeng, Y Guo, J Zhan, Z Wang, Z Lai, X Du, X Qu… - BMC Medical …, 2021 - Springer
Background Magnetic resonance imaging (MRI) is an effective auxiliary diagnostic method
in clinical medicine, but it has always suffered from the problem of long acquisition time …

Neural ordinary differential equations

RTQ Chen, Y Rubanova… - Advances in neural …, 2018 - proceedings.neurips.cc
We introduce a new family of deep neural network models. Instead of specifying a discrete
sequence of hidden layers, we parameterize the derivative of the hidden state using a …

Fundamentals of recurrent neural network (RNN) and long short-term memory (LSTM) network

A Sherstinsky - Physica D: Nonlinear Phenomena, 2020 - Elsevier
Because of their effectiveness in broad practical applications, LSTM networks have received
a wealth of coverage in scientific journals, technical blogs, and implementation guides …

Learning structured sparsity in deep neural networks

W Wen, C Wu, Y Wang, Y Chen… - Advances in neural …, 2016 - proceedings.neurips.cc
High demand for computation resources severely hinders deployment of large-scale Deep
Neural Networks (DNN) in resource constrained devices. In this work, we propose a …

On neural differential equations

P Kidger - arxiv preprint arxiv:2202.02435, 2022 - arxiv.org
The conjoining of dynamical systems and deep learning has become a topic of great
interest. In particular, neural differential equations (NDEs) demonstrate that neural networks …

Learning deep transformer models for machine translation

Q Wang, B Li, T **ao, J Zhu, C Li, DF Wong… - arxiv preprint arxiv …, 2019 - arxiv.org
Transformer is the state-of-the-art model in recent machine translation evaluations. Two
strands of research are promising to improve models of this kind: the first uses wide …

Augmented neural odes

E Dupont, A Doucet, YW Teh - Advances in neural …, 2019 - proceedings.neurips.cc
Abstract We show that Neural Ordinary Differential Equations (ODEs) learn representations
that preserve the topology of the input space and prove that this implies the existence of …

Pde-net: Learning pdes from data

Z Long, Y Lu, X Ma, B Dong - International conference on …, 2018 - proceedings.mlr.press
Partial differential equations (PDEs) play a prominent role in many disciplines of science
and engineering. PDEs are commonly derived based on empirical observations. However …

PDE-Net 2.0: Learning PDEs from data with a numeric-symbolic hybrid deep network

Z Long, Y Lu, B Dong - Journal of Computational Physics, 2019 - Elsevier
Partial differential equations (PDEs) are commonly derived based on empirical
observations. However, recent advances of technology enable us to collect and store …