Search Results for author: Charles K. Chui

Found 10 papers, 0 papers with code

Direct Signal Separation Via Extraction of Local Frequencies with Adaptive Time-Varying Parameters

no code implementations5 Oct 2020 Lin Li, Charles K. Chui, Qingtang Jiang

In this paper, we propose an adaptive signal separation operation (ASSO) for effective and accurate separation of a single-channel blind-source multi-component signal, via introducing a time-varying parameter that adapts locally to IFs and using linear chirp (linear frequency modulation) signals to approximate components at each time instant.

Time Series Analysis

A Chirplet Transform-based Mode Retrieval Method for Multicomponent Signals with Crossover Instantaneous Frequencies

no code implementations4 Oct 2020 Lin Li, Ningning Han, Qingtang Jiang, Charles K. Chui

We use the chirplet transform (CT) to represent a multicomponent signal in the three-dimensional space of time, frequency and chirp rate and introduce a CT-based signal separation scheme (CT3S) to retrieve modes.

Retrieval

Theory inspired deep network for instantaneous-frequency extraction and signal components recovery from discrete blind-source data

no code implementations31 Jan 2020 Charles K. Chui, Ningning Han, Hrushikesh N. Mhaskar

This paper is concerned with the inverse problem of recovering the unknown signal components, along with extraction of their instantaneous frequencies (IFs), governed by the adaptive harmonic model (AHM), from discrete (and possibly non-uniform) samples of the blind-source composite signal.

Realization of spatial sparseness by deep ReLU nets with massive data

no code implementations16 Dec 2019 Charles K. Chui, Shao-Bo Lin, Bo Zhang, Ding-Xuan Zhou

The great success of deep learning poses urgent challenges for understanding its working mechanism and rationality.

Learning Theory

CASS: Cross Adversarial Source Separation via Autoencoder

no code implementations23 May 2019 Yong Zheng Ong, Charles K. Chui, Haizhao Yang

This paper introduces a cross adversarial source separation (CASS) framework via autoencoder, a new model that aims at separating an input signal consisting of a mixture of multiple components into individual components defined via adversarial learning and autoencoder fitting.

Decoder Dimensionality Reduction

Deep Neural Networks for Rotation-Invariance Approximation and Learning

no code implementations3 Apr 2019 Charles K. Chui, Shao-Bo Lin, Ding-Xuan Zhou

Based on the tree architecture, the objective of this paper is to design deep neural networks with two or more hidden layers (called deep nets) for realization of radial functions so as to enable rotational invariance for near-optimal function approximation in an arbitrarily high dimensional Euclidian space.

Construction of neural networks for realization of localized deep learning

no code implementations9 Mar 2018 Charles K. Chui, Shao-Bo Lin, Ding-Xuan Zhou

The subject of deep learning has recently attracted users of machine learning from various disciplines, including: medical diagnosis and bioinformatics, financial market analysis and online advertisement, speech and handwriting recognition, computer vision and natural language processing, time series forecasting, and search engines.

Dimensionality Reduction Handwriting Recognition +3

A Fourier-invariant method for locating point-masses and computing their attributes

no code implementations26 Jul 2017 Charles K. Chui, Hrushikesh N. Mhaskar

Motivated by the interest of observing the growth of cancer cells among normal living cells and exploring how galaxies and stars are truly formed, the objective of this paper is to introduce a rigorous and effective method for counting point-masses, determining their spatial locations, and computing their attributes.

A unified method for super-resolution recovery and real exponential-sum separation

no code implementations26 Jul 2017 Charles K. Chui, Hrushikesh N. Mhaskar

In this paper, motivated by diffraction of traveling light waves, a simple mathematical model is proposed, both for the multivariate super-resolution problem and the problem of blind-source separation of real-valued exponential sums.

Astronomy blind source separation +2

Deep nets for local manifold learning

no code implementations24 Jul 2016 Charles K. Chui, H. N. Mhaskar

The problem of extending a function $f$ defined on a training data $\mathcal{C}$ on an unknown manifold $\mathbb{X}$ to the entire manifold and a tubular neighborhood of this manifold is considered in this paper.

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