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Geometric discrepancies are standard measures to quantify the irregularity of distributions. They are an important notion in numerical integration. One of the most important discrepancy notions is the so-called \emph{star discrepancy}.…

神经与进化计算 · 计算机科学 2013-10-08 Carola Doerr , Francois-Michel De Rainville

Reinforcement learning (RL) has become a central component of post-training for large language models (LLMs), particularly for complex reasoning tasks that require stable optimization over long generation horizons. However, achieving…

机器学习 · 计算机科学 2026-02-17 Yuepeng Sheng , Yuwei Huang , Shuman Liu , Anxiang Zeng , Haibo Zhang

Epilepsy affects around 50 million people globally. Electroencephalography (EEG) or Magnetoencephalography (MEG) based spike detection plays a crucial role in diagnosis and treatment. Manual spike identification is time-consuming and…

机器学习 · 统计学 2026-03-16 Fangyi Wei , Jiajie Mo , Kai Zhang , Haipeng Shen , Srikantan Nagarajan , Fei Jiang

To obtain uncertainty estimates with real-world Bayesian deep learning models, practical inference approximations are needed. Dropout variational inference (VI) for example has been used for machine vision and medical applications, but VI…

机器学习 · 计算机科学 2017-03-09 Yingzhen Li , Yarin Gal

This paper aims to establish an entropy-regularized value-based reinforcement learning method that can ensure the monotonic improvement of policies at each policy update. Unlike previously proposed lower-bounds on policy improvement in…

机器学习 · 计算机科学 2020-08-26 Lingwei Zhu , Takamitsu Matsubara

Nonnegative matrix factorization (NMF) is a standard linear dimensionality reduction technique for nonnegative data sets. In order to measure the discrepancy between the input data and the low-rank approximation, the Kullback-Leibler (KL)…

最优化与控制 · 数学 2021-05-12 Le Thi Khanh Hien , Nicolas Gillis

In this paper, online linear regression in environments corrupted by non-Gaussian noise (especially heavy-tailed noise) is addressed. In such environments, the error between the system output and the label also does not follow a Gaussian…

信息论 · 计算机科学 2021-05-13 Sajjad Bahrami , Ertem Tuncel

The deepening penetration of renewable resources into power systems entails great difficulties that have not been surmounted satisfactorily. An issue that merits special attention is the short-term planning of power systems under net load…

最优化与控制 · 数学 2020-12-15 Ogun Yurdakul , Fikret Sivrikaya , Sahin Albayrak

Policy entropy has emerged as a fundamental measure for understanding and controlling exploration in reinforcement learning with verifiable rewards (RLVR) for LLMs. However, existing entropy-aware methods mainly regulate entropy through…

The Kullback-Leibler (KL) divergence is frequently used in data science. For discrete distributions on large state spaces, approximations of probability vectors may result in a few small negative entries, rendering the KL divergence…

A smoothing algorithm is presented for solving the soft-margin Support Vector Machine (SVM) optimization problem with an $\ell^{1}$ penalty. This algorithm is designed to require a modest number of passes over the data, which is an…

最优化与控制 · 数学 2024-01-19 Ibrahim Emirahmetoglu , Jeffrey Hajewski , Suely Oliveira , David E. Stewart

Entropy regularization is known to improve exploration in sequential decision-making problems. We show that this same mechanism can also lead to nearly unbiased and lower-variance estimates of the mean reward in the optimize-and-estimate…

机器学习 · 计算机科学 2022-08-26 Ben Chugg , Peter Henderson , Jacob Goldin , Daniel E. Ho

Current research in Computer Vision has shown that Convolutional Neural Networks (CNN) give state-of-the-art performance in many classification tasks and Computer Vision problems. The embedding of CNN, which is the internal representation…

计算机视觉与模式识别 · 计算机科学 2015-08-04 Axel Angel

We present a systematic study of the reconstruction of a non-negative function via maximum entropy approach utilizing the information contained in a finite number of moments of the function. For testing the efficacy of the approach, we…

数学物理 · 物理学 2015-05-18 Parthapratim Biswas , Arun K. Bhattacharya

Stereo depth estimation is error-prone; hence, effective error detection methods are desirable. Most such existing methods depend on characteristics of the stereo matching cost curve, making them unduly dependent on functional details of…

计算机视觉与模式识别 · 计算机科学 2017-11-29 Subhayan Mukherjee , Irene Cheng , Ram Mohana Reddy Guddeti , Anup Basu

Exploiting the information provided by electron energy-loss spectroscopy (EELS) requires reliable access to the low-loss region where the zero-loss peak (ZLP) often overwhelms the contributions associated to inelastic scatterings off the…

材料科学 · 物理学 2020-09-14 Laurien I. Roest , Sabrya E. van Heijst , Louis Maduro , Juan Rojo , Sonia Conesa-Boj

We present a unified technique for sequential estimation of convex divergences between distributions, including integral probability metrics like the kernel maximum mean discrepancy, $\varphi$-divergences like the Kullback-Leibler…

统计理论 · 数学 2023-03-14 Tudor Manole , Aaditya Ramdas

A fundamental problem in multi-task learning (MTL) is identifying groups of tasks that should be learned together. Since training MTL models for all possible combinations of tasks is prohibitively expensive for large task sets, a crucial…

机器学习 · 计算机科学 2026-02-24 Afiya Ayman , Ayan Mukhopadhyay , Aron Laszka

Empirical Mode Decomposition(EMD) is an adaptive data analysis technique for analyzing nonlinear and nonstationary data[1]. EMD decomposes the original data into a number of Intrinsic Mode Functions(IMFs)[1] for giving better physical…

统计方法学 · 统计学 2016-01-27 Sumit Kumar Ram , Marta Molinas

The Extreme Learning Machine (ELM) technique is a machine learning approach for constructing feed-forward neural networks with a single hidden layer and their models. The ELM model can be constructed while being trained by concurrently…

最优化与控制 · 数学 2024-01-30 Muideen Adegoke , Lateef O. Jolaoso , Mardiyyah Oduwole