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This work proposes an iterative sparse-regularized regression method to recover governing equations of nonlinear dynamical systems from noisy state measurements. The method is inspired by the Sparse Identification of Nonlinear Dynamics…

Machine Learning · Statistics 2021-02-24 Alexandre Cortiella , Kwang-Chun Park , Alireza Doostan

Supervised learning based on a deep neural network recently has achieved substantial improvement on speech enhancement. Denoising networks learn mapping from noisy speech to clean one directly, or to a spectrum mask which is the ratio…

Sound · Computer Science 2023-03-10 Jaeyoung Kim , Mostafa El-Khamy , Jungwon Lee

Recurrent neural networks (RNNs), including long short-term memory (LSTM) RNNs, have produced state-of-the-art results on a variety of speech recognition tasks. However, these models are often too large in size for deployment on mobile…

Machine Learning · Computer Science 2016-04-12 Zhiyun Lu , Vikas Sindhwani , Tara N. Sainath

We develop a Recursive $\mathcal{L}_1$-Regularized Least Squares (SPARLS) algorithm for the estimation of a sparse tap-weight vector in the adaptive filtering setting. The SPARLS algorithm exploits noisy observations of the tap-weight…

Information Theory · Computer Science 2009-01-08 Behtash Babadi , Nicholas Kalouptsidis , Vahid Tarokh

Echo State Networks (ESNs) are known for their fast and precise one-shot learning of time series. But they often need good hyper-parameter tuning for best performance. For this good validation is key, but usually, a single validation split…

Machine Learning · Computer Science 2020-07-13 Mantas Lukoševičius , Arnas Uselis

Recognising previously visited locations is an important, but unsolved, task in autonomous navigation. Current visual place recognition (VPR) benchmarks typically challenge models to recover the position of a query image (or images) from…

Computer Vision and Pattern Recognition · Computer Science 2022-02-14 Anil Ozdemir , Mark Scerri , Andrew B. Barron , Andrew Philippides , Michael Mangan , Eleni Vasilaki , Luca Manneschi

Presented is a new algorithm for estimating the frequency of a single-tone noisy signal using linear least squares (LLS). Frequency estimation is a nonlinear problem, and typically, methods such as Nonlinear Least Squares (NLS) (batch) or a…

Signal Processing · Electrical Eng. & Systems 2019-04-17 Solomon Davis , Izhak Bucher

In real-time speech recognition applications, the latency is an important issue. We have developed a character-level incremental speech recognition (ISR) system that responds quickly even during the speech, where the hypotheses are…

Computation and Language · Computer Science 2016-06-29 Kyuyeon Hwang , Wonyong Sung

The recurrent neural network-transducer (RNNT) is a promising approach for automatic speech recognition (ASR) with the introduction of a prediction network that autoregressively considers linguistic aspects. To train the autoregressive…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-26 Takafumi Moriya , Takanori Ashihara , Hiroshi Sato , Kohei Matsuura , Tomohiro Tanaka , Ryo Masumura

Sensing is a universal task in science and engineering. Downstream tasks from sensing include inferring full state estimates of a system (system identification), control decisions, and forecasting. These tasks are exceptionally challenging…

Dynamical Systems · Mathematics 2024-06-06 Jan P. Williams , Olivia Zahn , J. Nathan Kutz

Several variants of recurrent neural networks (RNNs) with orthogonal or unitary recurrent matrices have recently been developed to mitigate the vanishing/exploding gradient problem and to model long-term dependencies of sequences. However,…

Machine Learning · Computer Science 2019-11-20 Kyle Helfrich , Qiang Ye

To overcome the tradeoff of the conventional normalized least mean square (NLMS) algorithm between fast convergence rate and low steady-state misalignment, this paper proposes a variable step size (VSS) NLMS algorithm by devising a new…

Systems and Control · Computer Science 2015-04-22 Yi Yu , Haiquan Zhao

We address the problem of designing stabilizing control policies for nonlinear systems in discrete-time, while minimizing an arbitrary cost function. When the system is linear and the cost is convex, the System Level Synthesis (SLS)…

Systems and Control · Electrical Eng. & Systems 2023-01-03 Luca Furieri , Clara Lucía Galimberti , Giancarlo Ferrari-Trecate

The computational properties of neural systems are often thought to be implemented in terms of their network dynamics. Hence, recovering the system dynamics from experimentally observed neuronal time series, like multiple single-unit (MSU)…

Neurons and Cognition · Quantitative Biology 2017-07-05 Daniel Durstewitz

Deep-learning based noise reduction algorithms have proven their success especially for non-stationary noises, which makes it desirable to also use them for embedded devices like hearing aids (HAs). This, however, is currently not possible…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-24 Hendrik Schröter , Tobias Rosenkranz , Alberto N. Escalante-B. , Pascal Zobel , Andreas Maier

Reservoir computing (RC) is a novel approach to time series prediction using recurrent neural networks. In RC, an input signal perturbs the intrinsic dynamics of a medium called a reservoir. A readout layer is then trained to reconstruct a…

Neural and Evolutionary Computing · Computer Science 2014-01-13 Alireza Goudarzi , Peter Banda , Matthew R. Lakin , Christof Teuscher , Darko Stefanovic

This paper studies the asymptotic properties of the adaptive elastic net in ultra-high dimensional sparse linear regression models and proposes a new method called SSLS (Separate Selection from Least Squares) to improve prediction accuracy.…

Methodology · Statistics 2014-10-15 Yuehan Yang , Hu Yang

Recurrent Neural Networks (RNNs) produce state-of-art performance on many machine learning tasks but their demand on resources in terms of memory and computational power are often high. Therefore, there is a great interest in optimizing the…

Neural and Evolutionary Computing · Computer Science 2017-02-28 Joachim Ott , Zhouhan Lin , Ying Zhang , Shih-Chii Liu , Yoshua Bengio

Iteratively reweighted least squares (IRLS) is a widely-used method in machine learning to estimate the parameters in the generalised linear models. In particular, IRLS for L1 minimisation under the linear model provides a closed-form…

Cryptography and Security · Computer Science 2016-05-25 Mijung Park , Max Welling

As a surrogate for computationally intensive meso-scale simulation of woven composites, this article presents Recurrent Neural Network (RNN) models. Leveraging the power of transfer learning, the initialization challenges and sparse data…

Materials Science · Physics 2024-07-08 Ehsan Ghane , Martin Fagerström , Mohsen Mirkhalaf