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Label smoothing (LS) is an arising learning paradigm that uses the positively weighted average of both the hard training labels and uniformly distributed soft labels. It was shown that LS serves as a regularizer for training data with hard…

Machine Learning · Computer Science 2022-06-28 Jiaheng Wei , Hangyu Liu , Tongliang Liu , Gang Niu , Masashi Sugiyama , Yang Liu

Large language models (LLMs) often produce inaccurate or misleading content-hallucinations. To address this challenge, we introduce Noise-Augmented Fine-Tuning (NoiseFiT), a novel framework that leverages adaptive noise injection based on…

Computation and Language · Computer Science 2025-05-06 Afshin Khadangi , Amir Sartipi , Igor Tchappi , Ramin Bahmani

In high-dimensional statistics, the Lasso is a cornerstone method for simultaneous variable selection and parameter estimation. However, its reliance on the squared loss function renders it highly sensitive to outliers and heavy-tailed…

Machine Learning · Statistics 2025-11-20 The Tien Mai

The adaptive Iterative Soft-Thresholding Algorithm (ISTA) has been a popular algorithm for finding a desirable solution to the LASSO problem without explicitly tuning the regularization parameter $\lambda$. Despite that the adaptive ISTA is…

Machine Learning · Statistics 2025-07-04 Yining Feng , Ivan Selesnick

Active noise control (ANC) is an effective approach to noise suppression, and the filtered-reference least mean square (FxLMS) algorithm is a widely adopted method in ANC systems, owing to its computational efficiency and stable…

Signal Processing · Electrical Eng. & Systems 2026-03-10 Luyuan Li , Jisheng Bai , Xiruo Su , Xiaoyi Shen , Dongyuan Shi , Woon-seng Gan

We propose a new numerical scheme for approximating level-sets of Lipschitz multivariate functions which is robust to stochastic noise. The algorithm's main feature is an adaptive grid-based stochastic approximation strategy which…

Numerical Analysis · Mathematics 2025-09-19 Matteo Croci , Abdul-Lateef Haji-Ali , Ian C. J. Powell

Active noise control typically employs adaptive filtering to generate secondary noise, where the least mean square algorithm is the most widely used. However, traditional updating rules are linear and exhibit limited effectiveness in…

Audio and Speech Processing · Electrical Eng. & Systems 2024-12-30 Pengxing Feng , Hing Cheung So

This paper addresses the problem of robust fault detection filtering for linear time-varying (LTV) systems with non-Gaussian noise and additive faults. The conventional generalized likelihood ratio (GLR) method utilizes the Kalman filter,…

Optimization and Control · Mathematics 2025-04-25 Zhemeng Zhang , Yifei Nie , Le Yin

The so-called constrained least mean-square algorithm is one of the most commonly used linear-equality-constrained adaptive filtering algorithms. Its main advantages are adaptability and relative simplicity. In order to gain analytical…

Systems and Control · Computer Science 2015-02-26 Reza Arablouei , Kutluyıl Doğançay , Stefan Werner

In this paper, a new family of proportionate normalized least mean square (PNLMS) adaptive algorithms that improve the performance of identifying block-sparse systems is proposed. The main proposed algorithm, called block-sparse PNLMS…

Information Theory · Computer Science 2015-12-01 Jianming Liu , Steven L. Grant

In this work we propose an approximate Minimum Mean-Square Error (MMSE) filter for linear dynamic systems with Gaussian Mixture noise. The proposed estimator tracks each component of the Gaussian Mixture (GM) posterior with an individual…

Systems and Control · Computer Science 2015-06-26 Leila Pishdad , Fabrice Labeau

The algorithm with compensation of parametric uncertainties, external disturbances and measurement noises for linear time-invariant plants is designed. It is assumed, that the dimension of the noise can be equaled to the state vector…

Systems and Control · Computer Science 2016-11-30 Igor B. Furtat

In this paper we extend our investigations on noise-assisted storage devices through the experimental study of a loop composed of a single Schmitt trigger and an element that introduces a finite delay. We show that such a system allows the…

Adaptation and Self-Organizing Systems · Physics 2015-05-27 G. Bellomo , G. A. Patterson , P. I. Fierens , D. F. Grosz

Recently, pre-trained language models (PLMs) have been increasingly adopted in spoken language understanding (SLU). However, automatic speech recognition (ASR) systems frequently produce inaccurate transcriptions, leading to noisy inputs…

Computation and Language · Computer Science 2024-10-22 Yeonjoon Jung , Jaeseong Lee , Seungtaek Choi , Dohyeon Lee , Minsoo Kim , Seung-won Hwang

The problem of estimating a random vector x from noisy linear measurements y = A x + w with unknown parameters on the distributions of x and w, which must also be learned, arises in a wide range of statistical learning and linear inverse…

Information Theory · Computer Science 2017-06-20 Alyson K. Fletcher , Mojtaba Sahraee-Ardakan , Philip Schniter , Sundeep Rangan

This paper describes recursive algorithms for state estimation of linear dynamical systems when measurements are noisy with unknown bias and/or outliers. For situations with noisy and biased measurements, algorithms are proposed that…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Krishan Mohan Nagpal

Randomized smoothing has achieved great success for certified robustness against adversarial perturbations. Given any arbitrary classifier, randomized smoothing can guarantee the classifier's prediction over the perturbed input with…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Hanbin Hong , Yuan Hong

In this paper, the performance of adaptive turbo equalization for nonlinearity compensation (NLC) is investigated. A turbo equalization scheme is proposed where a recursive least-squares (RLS) algorithm is used as an adaptive channel…

Signal Processing · Electrical Eng. & Systems 2021-09-07 Edson Porto da Silva , Metodi Plamenov Yankov

We revisit the Bayesian online inference problems for the linear dynamic systems (LDS) under non- Gaussian environment. The noises can naturally be non-Gaussian (skewed and/or heavy tailed) or to accommodate spurious observations, noises…

Computation · Statistics 2015-04-23 Saikat Saha

Most of the literature focuses on the development of the linear active noise control (ANC) techniques. However, ANC systems might have to deal with some nonlinear components and the performance of linear ANC techniques may degrade in this…

Machine Learning · Computer Science 2022-02-15 Lu Lu , Kai-Li Yin , Rodrigo C. de Lamare , Zongsheng Zheng , Yi Yu , Xiaomin Yang , Badong Chen