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Recent studies on diffusion-based sampling methods have shown that Langevin Monte Carlo (LMC) algorithms can be beneficial for non-convex optimization, and rigorous theoretical guarantees have been proven for both asymptotic and finite-time…

Optimization and Control · Mathematics 2019-01-23 Thanh Huy Nguyen , Umut Şimşekli , Gaël Richard

Traditional volumetric noise control typically relies on multipoint error minimization to suppress sound energy across a region, but offers limited flexibility in shaping spatial responses. This paper introduces a time domain formulation…

Sound · Computer Science 2025-09-19 Manan Mittal , Ryan M. Corey , Andrew C. Singer

Process reward models (PRMs) offer fine-grained, step-level evaluations that facilitate deeper reasoning processes in large language models (LLMs), proving effective in complex tasks like mathematical reasoning. However, developing PRMs is…

Machine Learning · Computer Science 2025-10-15 Yuyang Ding , Xinyu Shi , Juntao Li , Xiaobo Liang , Zhaopeng Tu , Min Zhang

Model-agnostic meta-learning (MAML) is a well-known optimization-based meta-learning algorithm that works well in various computer vision tasks, e.g., few-shot classification. MAML is to learn an initialization so that a model can adapt to…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Sanghyuk Lee , Seunghyun Lee , Byung Cheol Song

Many machine learning problems optimize an objective that must be measured with noise. The primary method is a first order stochastic gradient descent using one or more Monte Carlo (MC) samples at each step. There are settings where…

Machine Learning · Computer Science 2021-04-22 Sifan Liu , Art B. Owen

Diffusion processes with small noise conditioned to reach a target set are considered. The AMS algorithm is a Monte Carlo method that is used to sample such rare events by iteratively simulating clones of the process and selecting…

Numerical Analysis · Mathematics 2022-12-12 Frédéric Cérou , Sofiane Martel , Mathias Rousset

This dissertation focuses on the investigation and evaluation of adptive algorithms for multichannel active noise control system. The aim of the research is to investigate the effectiveness of the FxLMS algorithm and the pre-trained control…

Signal Processing · Electrical Eng. & Systems 2023-08-31 Runsheng Zhang

In decentralized active noise control (ANC) systems, crosstalk between multichannel secondary sources and error microphones significantly degrades control accuracy. Moreover, prefiltering reference signals in filtered-x (Fx) type algorithms…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Yijing Chu , Qinxuan Xiang , Sipei Zhao , Ming Wu , Y. Zhao , Guangzheng Yu

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

Due to its rapid response time and a high degree of robustness, the selective fixed-filter active noise control (SFANC) method appears to be a viable candidate for widespread use in a variety of practical active noise control (ANC) systems.…

Machine Learning · Computer Science 2022-08-19 Zhengding Luo , Dongyuan Shi , Woon-Seng Gan

Process Reward Models (PRMs) have achieved strong results in complex reasoning, but are bottlenecked by costly process-level supervision. A widely used alternative, Monte Carlo Estimation (MCE), defines process rewards as the probability…

Computation and Language · Computer Science 2026-01-21 Bin Xie , Bingbing Xu , Xueyun Tian , Yilin Chen , Huawei Shen

The impressive performance of large language models (LLMs) arises from their massive scale and heterogeneous module composition. However, this structural heterogeneity introduces additional optimization challenges. While adaptive optimizers…

Machine Learning · Computer Science 2026-05-08 Ziqing Wen , Zhouyang Liu , Jiahuan Wang , Ping Luo , Li Shen , Dongsheng Li , Tao Sun

We propose a gradient-free deep reinforcement learning algorithm to solve high-dimensional, finite-horizon stochastic control problems. Although the recently developed deep reinforcement learning framework has achieved great success in…

Optimization and Control · Mathematics 2025-02-03 Liyao Lyu , Jingrun Chen

The multichannel virtual sensing active noise control (MVANC) methodology is an advanced approach that may provide a wide area of silence at specific virtual positions that are distant from the physical error microphones. Currently, there…

Signal Processing · Electrical Eng. & Systems 2024-05-20 Boxiang Wang

Virtual sensing (VS) technology enables active noise control (ANC) systems to attenuate noise at virtual locations distant from the physical error microphones. Appropriate auxiliary filters (AF) can significantly enhance the effectiveness…

Signal Processing · Electrical Eng. & Systems 2024-09-10 Boxiang Wang , Dongyuan Shi , Zhengding Luo , Xiaoyi Shen , Junwei Ji , Woon-Seng Gan

Due to the slow convergence and poor tracking ability, conventional LMS-based adaptive algorithms are less capable of handling dynamic noises. Selective fixed-filter active noise control (SFANC) can significantly reduce response time by…

Systems and Control · Electrical Eng. & Systems 2023-06-21 Zhengding Luo , Dongyuan Shi , Xiaoyi Shen , Junwei Ji , Woon-Seng Gan

Variational Monte Carlo (VMC) is an approach for computing ground-state wavefunctions that has recently become more powerful due to the introduction of neural network-based wavefunction parametrizations. However, efficiently training neural…

Machine Learning · Statistics 2023-10-03 Robert J. Webber , Michael Lindsey

Model-Agnostic Meta-Learning (MAML) is one of the most successful meta-learning techniques for few-shot learning. It uses gradient descent to learn commonalities between various tasks, enabling the model to learn the meta-initialization of…

Machine Learning · Computer Science 2022-08-18 Lin Ding , Peng Liu , Wenfeng Shen , Weijia Lu , Shengbo Chen

We propose a randomized version of the non-local means (NLM) algorithm for large-scale image filtering. The new algorithm, called Monte Carlo non-local means (MCNLM), speeds up the classical NLM by computing a small subset of image patch…

Computer Vision and Pattern Recognition · Computer Science 2015-06-18 Stanley H. Chan , Todd Zickler , Yue M. Lu

We introduce a gradient-based learning method to automatically adapt Markov chain Monte Carlo (MCMC) proposal distributions to intractable targets. We define a maximum entropy regularised objective function, referred to as generalised speed…

Machine Learning · Statistics 2020-01-07 Michalis K. Titsias , Petros Dellaportas