Search Results for author: Wen-Liang Hwang

Found 6 papers, 0 papers with code

Representation and decomposition of functions in DAG-DNNs and structural network pruning

no code implementations16 Jun 2023 Wen-Liang Hwang

In the current study, we demonstrate that DAG-DNNs can be used to derive all functions defined on various sub-architectures of the DNN.

Network Pruning

Analysis of function approximation and stability of general DNNs in directed acyclic graphs using un-rectifying analysis

no code implementations13 Jun 2022 Wen-Liang Hwang, Shih-Shuo Tung

In this paper, we made a number of basic assumptions pertaining to activation functions, non-linear transformations, and DNN architectures in order to use the un-rectifying method to analyze DNNs via directed acyclic graphs (DAGs).

Mathematical Induction

Learning DNN networks using un-rectifying ReLU with compressed sensing application

no code implementations18 Jan 2021 Wen-Liang Hwang, Shih-Shuo Tung

However, we demonstrate that the optimal solution to a combinatorial optimization problem can be preserved by relaxing the discrete domains of activation variables to closed intervals.

Combinatorial Optimization

Deep Representation with ReLU Neural Networks

no code implementations29 Mar 2019 Andreas Heinecke, Wen-Liang Hwang

We consider deep feedforward neural networks with rectified linear units from a signal processing perspective.

Frame-based Sparse Analysis and Synthesis Signal Representations and Parseval K-SVD

no code implementations6 Jan 2018 Wen-Liang Hwang, Ping-Tzan Huang, Tai-Lang Jong

Our findings demonstrate that this type of dual frame cannot be constructed for over-complete frames, thereby precluding the use of any linear analysis operator in driving the sparse synthesis coefficient for signal representation.

Dictionary Learning

Sparse Representation of a Blur Kernel for Blind Image Restoration

no code implementations14 Dec 2015 Chia-Chen Lee, Wen-Liang Hwang

Blind image restoration is a non-convex problem which involves restoration of images from an unknown blur kernel.

Image Restoration

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