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We address the weak numerical solution of stochastic differential equations driven by independent Brownian motions (SDEs for short). This paper develops a new methodology to design adaptive strategies for determining automatically the…

Probability · Mathematics 2023-02-10 Carlos M. Mora , Juan Carlos Jimenez , Monica Selva

Many attempts took place to improve the adaptive filters that can also be useful to improve backpropagation (BP). Normalized least mean squares (NLMS) is one of the most successful algorithms derived from Least mean squares (LMS). However,…

Machine Learning · Computer Science 2021-01-05 Naeem Paeedeh , Kamaledin Ghiasi-Shirazi

In this paper, we propose a novel variable-separation (NVS) method for generic multivariate functions. The idea of NVS is extended to to obtain the solution in tensor product structure for stochastic partial differential equations (SPDEs).…

Numerical Analysis · Mathematics 2016-11-15 Qiuqi Li , Lijian Jiang

Classical theory for quasi-Newton schemes has focused on smooth deterministic unconstrained optimization while recent forays into stochastic convex optimization have largely resided in smooth, unconstrained, and strongly convex regimes.…

Optimization and Control · Mathematics 2020-11-03 Afrooz Jalilzadeh , Angelia Nedich , Uday V. Shanbhag , Farzad Yousefian

Accurate camera pose estimation result is essential for visual SLAM (VSLAM). This paper presents a novel pose correction method to improve the accuracy of the VSLAM system. Firstly, the relationship between the camera pose estimation error…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Zhaobing Kang , Wei Zou , Zheng Zhu

In this paper, we proposed a new technique, {\em variance controlled stochastic gradient} (VCSG), to improve the performance of the stochastic variance reduced gradient (SVRG) algorithm. To avoid over-reducing the variance of gradient by…

Machine Learning · Computer Science 2021-02-22 Jia Bi , Steve R. Gunn

Channel state information (CSI) is very crucial for any wireless communication systems. Typically, CSI can be characterized at the receiver side using channel impulse response (CIR). Many observations have shown that the CIR of broadband…

Signal Processing · Electrical Eng. & Systems 2018-12-12 Ahmed M. Abd El-Moaty , Azzedine Zerguine

In real-time applications the characteristics and properties of a signal vary inconsistently. So, to maintain the integrity of such signals there is a need for effective adaptive filters. The conventional Least Mean Squared(LMS) algorithm…

Signal Processing · Electrical Eng. & Systems 2021-12-01 R Sankara Prasad

In variable or graph selection problems, finding a right-sized model or controlling the number of false positives is notoriously difficult. Recently, a meta-algorithm called Stability Selection was proposed that can provide reliable…

Machine Learning · Statistics 2017-12-14 George Philipp , Seunghak Lee , Eric P. Xing

In this paper, the sparse sensor placement problem for least-squares estimation is considered, and the previous novel approach of the sparse sensor selection algorithm is extended. The maximization of the determinant of the matrix which…

Signal Processing · Electrical Eng. & Systems 2021-05-18 Yuji Saito , Taku Nonomura , Keigo Yamada , Kumi Nakai , Takayuki Nagata , Keisuke Asai , Yasuo Sasaki , Daisuke Tsubakino

An algorithm framework is proposed for minimizing nonsmooth functions. The framework is variable-metric in that, in each iteration, a step is computed using a symmetric positive definite matrix whose value is updated as in a quasi-Newton…

Optimization and Control · Mathematics 2019-02-05 Frank E. Curtis , Daniel P. Robinson , Baoyu Zhou

Stochastic gradient descent is a canonical tool for addressing stochastic optimization problems, and forms the bedrock of modern machine learning and statistics. In this work, we seek to balance the fact that attenuating step-size is…

Signal Processing · Electrical Eng. & Systems 2020-07-10 Zhan Gao , Alec Koppel , Alejandro Ribeiro

In this paper, we propose a data-driven energy storage system (ESS)-based method to enhance the online small-signal stability monitoring of power networks with high penetration of intermittent wind power. To accurately estimate inter-area…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Ilias Zenelis , Georgia Pierrou , Xiaozhe Wang

We introduce a novel dynamic learning-rate scheduling scheme grounded in theory with the goal of simplifying the manual and time-consuming tuning of schedules in practice. Our approach is based on estimating the locally-optimal stepsize,…

Machine Learning · Computer Science 2023-11-27 Gilad Yehudai , Alon Cohen , Amit Daniely , Yoel Drori , Tomer Koren , Mariano Schain

The sequential minimal optimization (SMO) algorithm and variants thereof are the de facto standard method for solving large quadratic programs for support vector machine (SVM) training. In this paper we propose a simple yet powerful…

Machine Learning · Computer Science 2013-08-01 Tobias Glasmachers

Stochastic gradient descent updates parameters with summation gradient computed from a random data batch. This summation will lead to unbalanced training process if the data we obtained is unbalanced. To address this issue, this paper takes…

Machine Learning · Computer Science 2019-05-22 Tao Yi , Xingxuan Wang

In this work, we obtain sufficient conditions for the "stability" of our recently proposed algorithms, Least Squares Compressive Sensing residual (LS-CS) and modified-CS, for recursively reconstructing sparse signal sequences from noisy…

Information Theory · Computer Science 2015-03-19 Namrata Vaswani

Learning a stable Linear Dynamical System (LDS) from data involves creating models that both minimize reconstruction error and enforce stability of the learned representation. We propose a novel algorithm for learning stable LDSs. Using a…

Machine Learning · Computer Science 2020-11-19 Giorgos Mamakoukas , Orest Xherija , T. D. Murphey

An algorithm is proposed for solving stochastic and finite sum minimization problems. Based on a trust region methodology, the algorithm employs normalized steps, at least as long as the norms of the stochastic gradient estimates are within…

Optimization and Control · Mathematics 2018-06-27 Frank E. Curtis , Katya Scheinberg , Rui Shi

Usually, hearing impaired people use hearing aids which are implemented with speech enhancement algorithms. Estimation of speech and estimation of nose are the components in single channel speech enhancement system. The main objective of…

Sound · Computer Science 2014-11-10 M. Ravichandra Kumar , B. Ravi Teja
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