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Designing proper loss functions for vision tasks has been a long-standing research direction to advance the capability of existing models. For object detection, the well-established classification and regression loss functions have been…

计算机视觉与模式识别 · 计算机科学 2021-02-10 Peidong Liu , Gengwei Zhang , Bochao Wang , Hang Xu , Xiaodan Liang , Yong Jiang , Zhenguo Li

The success of self-supervised learning (SSL) has been the focus of multiple recent theoretical and empirical studies, including the role of data augmentation (in feature decoupling) as well as complete and dimensional representation…

计算机视觉与模式识别 · 计算机科学 2024-12-04 Salman Mohamadi , Gianfranco Doretto , Donald A. Adjeroh

Many machine learning problems involve iteratively and alternately optimizing different task objectives with respect to different sets of parameters. Appropriately scheduling the optimization of a task objective or a set of parameters is…

机器学习 · 计算机科学 2018-10-08 Haowen Xu , Hao Zhang , Zhiting Hu , Xiaodan Liang , Ruslan Salakhutdinov , Eric Xing

We are interested in the implications of a linearly autocorrelated driven noise on the asymptotic behavior of the usual least squares estimator in a stable autoregressive process. We show that the least squares estimator is not consistent…

统计理论 · 数学 2017-03-14 Frédéric Proïa

Given the recent controversies in some neuroimaging statistical methods, we compare the most frequently used functional Magnetic Resonance Imaging (fMRI) analysis packages: AFNI, FSL and SPM, with regard to temporal autocorrelation…

定量方法 · 定量生物学 2019-04-09 Wiktor Olszowy , John Aston , Catarina Rua , Guy B. Williams

The majority of deep neural network (DNN) based speech enhancement algorithms rely on the mean-square error (MSE) criterion of short-time spectral amplitudes (STSA), which has no apparent link to human perception, e.g. speech…

声音 · 计算机科学 2018-12-05 Morten Kolbæk , Zheng-Hua Tan , Jesper Jensen

The predictive quality of machine learning models is typically measured in terms of their (approximate) expected prediction accuracy or the so-called Area Under the Curve (AUC). Minimizing the reciprocals of these measures are the goals of…

机器学习 · 统计学 2019-03-04 Hiva Ghanbari , Minhan Li , Katya Scheinberg

Intuitively, a more deterministic time series should be easier to forecast. However, point-wise loss functions (e.g., MSE and MAE), serving as differentiable surrogates for the ideal optimization target, score each timestamp independently…

机器学习 · 计算机科学 2026-05-12 Rongyao Cai , Yuxi Wan , Kexin Zhang , Ming Jin , Zhiqiang Ge , Daoyi Dong , Hang Yu , Yong Liu , Qingsong Wen

Score matching (SM) is a convenient method for training flexible probabilistic models, which is often preferred over the traditional maximum-likelihood (ML) approach. However, these models are less interpretable than normalized models; as…

机器学习 · 统计学 2022-10-25 Li Kevin Wenliang

The performance of Markov chain Monte Carlo calculations is determined by both ensemble variance of the Monte Carlo estimator and autocorrelation of the Markov process. In order to study autocorrelation, binning analysis is commonly used,…

计算物理 · 物理学 2019-04-05 Markus Wallerberger

Quantum computers progress toward outperforming classical supercomputers, but quantum errors remain their primary obstacle. The key to overcoming errors on near-term devices has emerged through the field of quantum error mitigation,…

量子物理 · 物理学 2025-05-14 Haoran Liao , Derek S. Wang , Iskandar Sitdikov , Ciro Salcedo , Alireza Seif , Zlatko K. Minev

Mean-squared-error (MSE) is one of the most widely used performance metrics for the designs and analysis of multi-input-multiple-output (MIMO) communications. Weighted MSE minimization, a more general formulation of MSE minimization, plays…

信息论 · 计算机科学 2016-10-03 Chengwen Xing , Yindi Jing , Yiqing Zhou

We consider the multi-target detection problem of recovering a set of signals that appear multiple times at unknown locations in a noisy measurement. In the low noise regime, one can estimate the signals by first detecting occurrences, then…

信息论 · 计算机科学 2020-01-08 Tamir Bendory , Nicolas Boumal , William Leeb , Eitan Levin , Amit Singer

An alternative to extrinsic information transfer (EXIT) charts called mean squared error (MSE) charts that use a measure related to the MSE instead of mutual information is proposed. Using the relationship between mutual information and…

信息论 · 计算机科学 2007-07-13 Kapil Bhattad , Krishna Narayanan

This paper presents a whitening-based contrastive learning method for sentence embedding learning (WhitenedCSE), which combines contrastive learning with a novel shuffled group whitening. Generally, contrastive learning pulls distortions of…

计算与语言 · 计算机科学 2023-06-09 Wenjie Zhuo , Yifan Sun , Xiaohan Wang , Linchao Zhu , Yi Yang

We study estimation of a multivariate function $f:\mathbf{R}^d\to\mathbf{R}$ when the observations are available from the function $Af$, where $A$ is a known linear operator. Both the Gaussian white noise model and density estimation are…

统计理论 · 数学 2010-01-14 Jussi Klemelä , Enno Mammen

In this work, we establish a novel theoretical connection between supervised fine-tuning and offline reinforcement learning under the token-level Markov decision process, revealing that large language models indeed learn an implicit…

计算与语言 · 计算机科学 2025-06-03 Junjie Zhang , Rushuai Yang , Shunyu Liu , Ting-En Lin , Fei Huang , Yi Chen , Yongbin Li , Dacheng Tao

Blind inverse problems arise in many experimental settings where both the signal of interest and the forward operator are (partially) unknown. In this context, methods developed for the non-blind case cannot be adapted in a straightforward…

机器学习 · 计算机科学 2026-04-21 Nathan Buskulic , Luca Calatroni , Lorenzo Rosasco , Silvia Villa

Model merging has emerged as a cost-effective alternative to training large language models (LLMs) from scratch, enabling researchers to combine pre-trained models into more capable systems without full retraining. Evolutionary approaches…

神经与进化计算 · 计算机科学 2026-05-13 Md. Robiul Islam Niloy

We study the multi-task linear regression problem in the presence of contaminated tasks. We address the setting where the unknown parameters of a majority of tasks are close in the $\ell_2$-norm, while a fraction of tasks are arbitrary…

机器学习 · 统计学 2026-05-19 Seok-Jin Kim