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Related papers: AN-SPS: Adaptive Sample Size Nonmonotone Line Sear…

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Proportionate-type normalized suband adaptive filter (PNSAF-type) algorithms are very attractive choices for echo cancellation. To further obtain both fast convergence rate and low steady-state error, in this paper, a variable step size…

Systems and Control · Computer Science 2017-06-30 Yi Yu , Haiquan Zhao

This paper focuses on stochastic proximal gradient methods for optimizing a smooth non-convex loss function with a non-smooth non-convex regularizer and convex constraints. To the best of our knowledge we present the first non-asymptotic…

Optimization and Control · Mathematics 2019-05-27 Michael R. Metel , Akiko Takeda

Motivated by recent work on atomic norms in inverse problems, we propose a new approach to line spectral estimation that provides theoretical guarantees for the mean-squared-error (MSE) performance in the presence of noise and without…

Information Theory · Computer Science 2013-02-19 Badri Narayan Bhaskar , Gongguo Tang , Benjamin Recht

In this paper, an energy harvesting scheme for a multi-user multiple-input-multiple-output (MIMO) secrecy channel with artificial noise (AN) transmission is investigated. Joint optimization of the transmit beamforming matrix, the AN…

Information Theory · Computer Science 2018-02-05 Zhengyu Zhu , Ning Wang , Zheng Chu , Zhongyong Wang , Inkyu Lee

In this paper, we consider the problem of minimizing the average of a large number of nonsmooth and convex functions. Such problems often arise in typical machine learning problems as empirical risk minimization, but are computationally…

Machine Learning · Statistics 2018-05-21 Wenjie Huang

In this paper, we investigate the problem of stochastic multi-level compositional optimization, where the objective function is a composition of multiple smooth but possibly non-convex functions. Existing methods for solving this problem…

Machine Learning · Computer Science 2022-10-20 Wei Jiang , Bokun Wang , Yibo Wang , Lijun Zhang , Tianbao Yang

In this paper, we consider comparison-based adaptive stochastic algorithms for solving numerical optimisation problems. We consider a specific subclass of algorithms that we call comparison-based step-size adaptive randomized search…

Numerical Analysis · Computer Science 2016-06-03 Anne Auger , Nikolaus Hansen

Sampling-based motion planners (SBMPs) are widely used to compute dynamically feasible robot paths. However, their reliance on uniform sampling often leads to poor efficiency and slow planning in complex environments. We introduce a novel…

Robotics · Computer Science 2025-11-10 Shubham Natraj , Bruno Sinopoli , Yiannis Kantaros

In this paper, a novel convexification approach for Small-Signal Stability Constraint Optimal Power Flow (SSSC-OPF) has been presented that does not rely on eigenvalue analysis. The proposed methodology is based on the sufficient condition…

Optimization and Control · Mathematics 2021-09-17 Parikshit Pareek , Hung D. Nguyen

The problem of keyword spotting i.e. identifying keywords in a real-time audio stream is mainly solved by applying a neural network over successive sliding windows. Due to the difficulty of the task, baseline models are usually large,…

Machine Learning · Computer Science 2018-11-19 Tom Véniat , Olivier Schwander , Ludovic Denoyer

The choice of the stepsize in first-order convex optimization is typically based on the smoothness constant and plays a crucial role in the performance of algorithms. Recently, there has been a resurgent interest in introducing adaptive…

Optimization and Control · Mathematics 2025-12-04 Reza Rahimi Baghbadorani , Sergio Grammatico , Peyman Mohajerin Esfahani

In this work, we introduce a novel stochastic second-order method, within the framework of a non-monotone trust-region approach, for solving the unconstrained, nonlinear, and non-convex optimization problems arising in the training of deep…

Optimization and Control · Mathematics 2024-01-18 Natasa Krejic , Natasa Krklec Jerinkic , Angeles Martinez , Mahsa Yousefi

In this paper, we propose a novel adaptive sieving (AS) technique and an enhanced AS (EAS) technique, which are solver independent and could accelerate optimization algorithms for solving large scale convex optimization problems with…

Optimization and Control · Mathematics 2021-08-18 Yancheng Yuan , Tsung-Hui Chang , Defeng Sun , Kim-Chuan Toh

In this paper, we consider estimating sparse inverse covariance of a Gaussian graphical model whose conditional independence is assumed to be partially known. Similarly as in [5], we formulate it as an $l_1$-norm penalized maximum…

Methodology · Statistics 2009-04-07 Zhaosong Lu

We propose adaptive, line search-free second-order methods with optimal rate of convergence for solving convex-concave min-max problems. By means of an adaptive step size, our algorithms feature a simple update rule that requires solving…

Optimization and Control · Mathematics 2024-11-12 Ruichen Jiang , Ali Kavis , Qiujiang Jin , Sujay Sanghavi , Aryan Mokhtari

In this work we consider the stochastic minimization of nonsmooth convex loss functions, a central problem in machine learning. We propose a novel algorithm called Accelerated Nonsmooth Stochastic Gradient Descent (ANSGD), which exploits…

Machine Learning · Computer Science 2012-10-02 Hua Ouyang , Alexander Gray

With the growing interest and applications in machine learning and data science, finding an efficient method to sparse analysis the high-dimensional data and optimizing a dimension reduction model to extract lower dimensional features has…

Optimization and Control · Mathematics 2024-06-05 Jiawei Wang , Rencang Li , Richard Yi Da Xu

We propose a Multi-step Screening Procedure (MSP) for the recovery of sparse linear models in high-dimensional data. This method is based on a repeated small penalty strategy that quickly converges to an estimate within a few iterations.…

Methodology · Statistics 2019-12-13 Yuehan Yang , Ji Zhu , Edward I. George

We develop a novel and single-loop variance-reduced algorithm to solve a class of stochastic nonconvex-convex minimax problems involving a nonconvex-linear objective function, which has various applications in different fields such as…

Optimization and Control · Mathematics 2020-10-27 Quoc Tran-Dinh , Deyi Liu , Lam M. Nguyen

In this work we propose the use of adaptive stochastic search as a building block for general, non-convex optimization operations within deep neural network architectures. Specifically, for an objective function located at some layer in the…

Machine Learning · Computer Science 2021-04-05 Ioannis Exarchos , Marcus A. Pereira , Ziyi Wang , Evangelos A. Theodorou
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