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In deep learning research, many melody extraction models rely on redesigning neural network architectures to improve performance. In this paper, we propose an input feature modification and a training objective modification based on two…

Sound · Computer Science 2023-08-08 Keren Shao , Ke Chen , Taylor Berg-Kirkpatrick , Shlomo Dubnov

Traditional speech enhancement techniques modify the magnitude of a speech in time-frequency domain, and use the phase of a noisy speech to resynthesize a time domain speech. This work proposes a complex-valued Gaussian process latent…

Sound · Computer Science 2017-01-02 Sih-Huei Chen , Yuan-Shan Lee , Jia-Ching Wang

This paper considers the problem of recovering a $k$-sparse, $N$-dimensional complex signal from Fourier magnitude measurements. It proposes a Fourier optics setup such that signal recovery up to a global phase factor is possible with very…

Information Theory · Computer Science 2014-10-28 Çağkan Yapar , Volker Pohl , Holger Boche

If the phase retrieval problem can be solved by a method similar to that of solving a system of linear equations under the context of FFT, the time complexity of computer based phase retrieval algorithm would be reduced. Here I present such…

Numerical Analysis · Mathematics 2013-05-20 Yuan Sun

The synchrosqueezing transform, a kind of reassignment method, aims to sharpen the time-frequency representation and to separate the components of a multicomponent non-stationary signal. In this paper, we consider the short-time Fourier…

Signal Processing · Electrical Eng. & Systems 2019-09-27 Lin Li , Haiyan Cai , Hongxia Han , Qingtang Jiang , Hongbing Ji

Conventional sparse phase retrieval schemes can recover sparse signals from the magnitude of linear measurements only up to a global phase ambiguity. This work proposes a novel approach that instead utilizes the magnitude of affine…

Information Theory · Computer Science 2021-05-25 Ming-Hsun Yang , Y. -W. Peter Hong , Jwo-Yuh Wu

We consider the problem of recovering signals from their power spectral density. This is a classical problem referred to in literature as the phase retrieval problem, and is of paramount importance in many fields of applied sciences. In…

Information Theory · Computer Science 2013-11-12 Kishore Jaganathan , Samet Oymak , Babak Hassibi

Speech super-resolution (SR) reconstructs high-fidelity wideband speech from low-resolution inputs-a task that necessitates reconciling global harmonic coherence with local transient sharpness. While diffusion-based generative models yield…

Sound · Computer Science 2026-01-01 Jiajun Yuan , Xiaochen Wang , Yuhang Xiao , Yulin Wu , Chenhao Hu , Xueyang Lv

Phase retrieval (PR) is an ill-conditioned inverse problem which can be found in various science and engineering applications. Assuming sparse priority over the signal of interest, recent algorithms have been developed to solve the phase…

Optimization and Control · Mathematics 2018-07-26 Samuel Pinilla , Jorge Bacca , Henry Arguello

Discrete Fourier Transform (DFT) is widely used in signal processing to analyze the frequencies in a discrete signal. However, DFT fails to recover the exact Fourier spectrum, when the signal contains frequencies that do not correspond to…

Data Analysis, Statistics and Probability · Physics 2015-06-15 M. Andrecut

This paper addresses the reconstruction of audio signals from degraded measurements. We propose a lightweight model that combines the discrete Fourier transform with a Convolutional Autoencoder (FFT-ConvAE), which enabled our team to…

Sound · Computer Science 2025-11-14 Pu-Yun Kow , Pu-Zhao Kow

Short-time Fourier transform (STFT) phase retrieval refers to the reconstruction of a function $f$ from its spectrogram, i.e., the magnitudes of its short-time Fourier transform $V_gf$ with window function $g$. While it is known that for…

Functional Analysis · Mathematics 2024-11-21 Philipp Grohs , Lukas Liehr , Martin Rathmair

Currently used semantic parsing systems deployed in voice assistants can require weeks to train. Datasets for these models often receive small and frequent updates, data patches. Each patch requires training a new model. To reduce training…

Computation and Language · Computer Science 2021-03-23 Vladislav Lialin , Rahul Goel , Andrey Simanovsky , Anna Rumshisky , Rushin Shah

Generative models are capable to address difficult problems with non-unique solutions like bandwidth extension and gap filling, removing highly non-linear artifacts from codecs, clipping and distortion, as opposed to removing linear…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-18 Sebastian Braun

Deep learning based models have significantly improved the performance of speech separation with input mixtures like the cocktail party. Prominent methods (e.g., frequency-domain and time-domain speech separation) usually build regression…

Sound · Computer Science 2022-01-11 Jing Shi , Xuankai Chang , Tomoki Hayashi , Yen-Ju Lu , Shinji Watanabe , Bo Xu

In this paper, we propose an optimization-based method for robust phase retrieval problem where the goal is to estimate an unknown signal from a quadratic measurement corrupted by outliers. To enhance the robustness of existing optimization…

Optimization and Control · Mathematics 2026-04-17 Kumataro Yazawa , Keita Kume , Isao Yamada

Many audio signal processing methods are formulated in the time-frequency (T-F) domain which is obtained by the short-time Fourier transform (STFT). The properties of the STFT are fully characterized by window function, number of frequency…

Signal Processing · Electrical Eng. & Systems 2019-02-05 Tsubasa Kusano , Yoshiki Masuyama , Kohei Yatabe , Yasuhiro Oikawa

Phase retrieval(PR) problem is a kind of ill-condition inverse problem which is arising in various of applications. Based on the Wirtinger flow(WF) method, a reweighted Wirtinger flow(RWF) method is proposed to deal with PR problem. RWF…

Information Theory · Computer Science 2017-04-05 Ziyang Yuan , Hongxia Wang

Accurately recovering images from phaseless measurements is a challenging and long-standing problem. In this work, we present "deepECpr," which combines expectation-consistent (EC) approximation with deep denoising networks to surpass…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Saurav K. Shastri , Philip Schniter

We focus on tackling weakly supervised semantic segmentation with scribble-level annotation. The regularized loss has been proven to be an effective solution for this task. However, most existing regularized losses only leverage static…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Bingfeng Zhang , Jimin Xiao , Yao Zhao