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This paper proposes a novel approach to adaptive step sizes in stochastic gradient descent (SGD) by utilizing quantities that we have identified as numerically traceable -- the Lipschitz constant for gradients and a concept of the local…

Optimization and Control · Mathematics 2024-09-19 Frederik Köhne , Leonie Kreis , Anton Schiela , Roland Herzog

Large language models (LLMs) have shown remarkable reasoning capabilities, yet aligning such abilities to small language models (SLMs) remains a challenge due to distributional mismatches and limited model capacity. Existing reasoning…

Computation and Language · Computer Science 2025-05-28 Yong Wu , Weihang Pan , Ke Li , Chen Binhui , Ping Li , Binbin Lin

Large Language Models (LLMs) demonstrate impressive ability in handling reasoning tasks. However, unlike humans who can instinctively adapt their problem-solving strategies to the complexity of task, most LLM-based methods adopt a…

Computation and Language · Computer Science 2024-12-24 Jianpeng Zhou , Wanjun Zhong , Yanlin Wang , Jiahai Wang

This paper explores the benefit of using some of the machine learning techniques and Big data optimization tools in approximating maximum likelihood (ML) detection of Large Scale MIMO systems. First, large scale MIMO detection problem is…

Information Theory · Computer Science 2018-01-17 Anis Elgabli , Ali Elghariani , Abubakr O. Al-Abbasi , Mark Bell

Stepsize selection remains a critical challenge in the practical implementation of distributed optimization. Existing distributed algorithms often rely on restrictive prior knowledge of global objective functions, such as Lipschitz…

Optimization and Control · Mathematics 2026-03-23 Chen Ouyang , Yongyang Xiong , Jinming Xu , Keyou You , Yang Shi

The learning rate is a crucial hyperparameter in deep learning, with its ideal value depending on the problem and potentially changing during training. In this paper, we investigate the practical utility of adaptive learning rate mechanisms…

Machine Learning · Computer Science 2025-08-08 Asma Atamna , Tom Maus , Fabian Kievelitz , Tobias Glasmachers

Adapting an automatic speech recognition (ASR) system to unseen noise environments is crucial. Integrating adapters into neural networks has emerged as a potent technique for transfer learning. This study thoroughly investigates…

Sound · Computer Science 2024-06-05 Hao Shi , Tatsuya Kawahara

An algorithm is said to be adaptive to a certain parameter (of the problem) if it does not need a priori knowledge of such a parameter but performs competitively to those that know it. This dissertation presents our work on adaptive…

Machine Learning · Computer Science 2023-07-10 Zhenxun Zhuang

When the input signal is correlated input signals, and the input and output signal is contaminated by Gaussian noise, the total least squares normalized subband adaptive filter (TLS-NSAF) algorithm shows good performance. However, when it…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Haiquan Zhao , Zian Cao , Yida Chen

Adaptive or dynamic signal sampling in sensing systems can adapt subsequent sampling strategies based on acquired signals, thereby potentially improving image quality and speed. This paper proposes a Bayesian method for adaptive sampling…

Signal Processing · Electrical Eng. & Systems 2023-02-28 Guanhua Wang , Douglas C. Noll , Jeffrey A. Fessler

Gradient descent is slow to converge for ill-conditioned problems and non-convex problems. An important technique for acceleration is step-size adaptation. The first part of this paper contains a detailed review of step-size adaptation…

Machine Learning · Computer Science 2022-05-27 Hengshuai Yao

Stochastic Gradient Langevin Dynamics (SGLD) is a sampling scheme for Bayesian modeling adapted to large datasets and models. SGLD relies on the injection of Gaussian Noise at each step of a Stochastic Gradient Descent (SGD) update. In this…

Machine Learning · Computer Science 2018-06-11 Henri Palacci , Henry Hess

This work proposes a novel adaptive linearized alternating direction multiplier method (LADMM) to convex optimization, which improves the convergence rate of the LADMM-based algorithm by adjusting step-size iteratively.The innovation of…

Optimization and Control · Mathematics 2024-07-04 Boran Wang

This work proposes a novel adaptive background compensation scheme for frequency interleaved digital-to-analog converters (FI-DACs). The technique is applicable to high speed digital transceivers such as those used in coherent optical…

Signal Processing · Electrical Eng. & Systems 2020-07-07 Agustín C. Galetto , Benjamín T. Reyes , Damián A. Morero , Mario R. Hueda

The training of deep neural networks is inherently a nonconvex optimization problem, yet standard approaches such as stochastic gradient descent (SGD) require simultaneous updates to all parameters, often leading to unstable convergence and…

Machine Learning · Computer Science 2025-08-07 Chengcheng Yan , Jiawei Xu , Zheng Peng , Qingsong Wang

This paper considers sequential adaptive estimation of sparse signals under a constraint on the total sensing effort. The advantage of adaptivity in this context is the ability to focus more resources on regions of space where signal…

Methodology · Statistics 2013-04-03 Dennis Wei , Alfred O. Hero

Vanilla gradient methods are often highly sensitive to the choice of stepsize, which typically requires manual tuning. Adaptive methods alleviate this issue and have therefore become widely used. Among them, AdaGrad has been particularly…

Machine Learning · Statistics 2026-02-16 Matia Bojovic , Saverio Salzo , Massimiliano Pontil

Component-wise gradient boosting algorithms are popular for their intrinsic variable selection and implicit regularization, which can be especially beneficial for very flexible model classes. When estimating generalized additive models for…

Methodology · Statistics 2024-04-15 Alexandra Daub , Andreas Mayr , Boyao Zhang , Elisabeth Bergherr

We develop a framework for learning sparse nonparametric directed acyclic graphs (DAGs) from data. Our approach is based on a recent algebraic characterization of DAGs that led to a fully continuous program for score-based learning of DAG…

Machine Learning · Statistics 2020-03-25 Xun Zheng , Chen Dan , Bryon Aragam , Pradeep Ravikumar , Eric P. Xing

On-device machine learning (ODML) enables intelligent applications on resource-constrained devices. However, power consumption poses a major challenge, forcing a trade-off between model accuracy and power efficiency that often limits model…

Machine Learning · Computer Science 2024-04-09 Haiguang Li , Usama Pervaiz , Michał Matuszak , Robert Kamara , Gilles Roux , Trausti Thormundsson , Joseph Antognini