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Reduced-rank approach has been used for decades in robust linear estimation of both deterministic and random vector of parameters in linear model y=Hx+\sqrt{epsilon}n. In practical settings, estimation is frequently performed under…

最优化与控制 · 数学 2024-08-05 Tomasz Piotrowski , Isao Yamada

In this paper, we focus on the problem of conformal prediction with conditional guarantees. Prior work has shown that it is impossible to construct nontrivial prediction sets with full conditional coverage guarantees. A wealth of research…

机器学习 · 计算机科学 2024-04-29 Shayan Kiyani , George Pappas , Hamed Hassani

The phase retrieval problem in the presence of noise aims to recover the signal vector of interest from a set of quadratic measurements with infrequent but arbitrary corruptions, and it plays an important role in many scientific…

机器学习 · 统计学 2024-09-04 Zhong Zheng , Lingzhou Xue

Conformal prediction (CP) is a distribution-free framework for achieving probabilistic guarantees on black-box models. CP is generally applied to a model post-training. Recent research efforts, on the other hand, have focused on optimizing…

机器学习 · 计算机科学 2025-02-11 Sima Noorani , Orlando Romero , Nicolo Dal Fabbro , Hamed Hassani , George J. Pappas

Robust tensor completion (RTC) aims to recover a low-rank tensor from its incomplete observation with outlier corruption. The recently proposed tensor ring (TR) model has demonstrated superiority in solving the RTC problem. However, the…

机器学习 · 计算机科学 2023-02-16 Zhenhao Huang , Yuning Qiu , Xinqi Chen , Weijun Sun , Guoxu Zhou

Robust regression techniques rely on least-squares optimization, which works well for Gaussian noise but fails in the presence of asymmetric structured noise. We propose a hybrid neural-symbolic architecture where a transformer encoder…

机器学习 · 计算机科学 2025-08-06 Roman Gutierrez , Tony Kai Tang , Isabel Gutierrez

Capturing complex user preferences from sparse behavioral sequences remains a fundamental challenge in sequential recommendation. Recent latent reasoning methods have shown promise by extending test-time computation through multi-step…

信息检索 · 计算机科学 2026-01-07 Jiakai Tang , Xu Chen , Wen Chen , Jian Wu , Yuning Jiang , Bo Zheng

Diffusion-based image super-resolution (SR) aims to reconstruct high-resolution (HR) images from low-resolution (LR) observations. However, the inherent randomness injected during the reverse diffusion process causes the performance of…

计算机视觉与模式识别 · 计算机科学 2026-04-15 Shuwei Huang , Shizhuo Liu , Zijun Wei

Oscillator output generally has phase noise causing the output power spectral density (PSD) to disperse around a Dirac delta function. In this paper, the AWGN channel is considered, where the sent signal accompanying with phase noise is…

信息论 · 计算机科学 2022-06-14 Amir Alizadeh , Ghosheh Abed Hodtani

Multiple penalized least squares (MPLS) models are a flexible approach to find adaptive least squares solutions required to be simultaneously sparse and smooth. This is particularly important when addressing real-life inverse problems where…

We introduce and study the Group Square-Root Lasso (GSRL) method for estimation in high dimensional sparse regression models with group structure. The new estimator minimizes the square root of the residual sum of squares plus a penalty…

统计理论 · 数学 2013-08-01 Florentina Bunea , Johannes Lederer , Yiyuan She

Probabilistic partial least squares (PPLS) is a central likelihood-based model for two-view learning when one needs both interpretable latent factors and calibrated uncertainty. Building on the identifiable parameterization of Bouhaddani et…

机器学习 · 统计学 2026-05-13 Haoran Hu , Xingce Wang

A full parametric and linear specification may be insufficient to capture complicated patterns in studies exploring complex features, such as those investigating age-related changes in brain functional abilities. Alternatively, a partially…

统计方法学 · 统计学 2024-02-07 Jia Liang , Shuo Chen , Peter Kochunov , L Elliot Hong , Chixiang Chen

The discovery of non-linear causal relationship under additive non-Gaussian noise models has attracted considerable attention recently because of their high flexibility. In this paper, we propose a novel causal inference algorithm called…

机器学习 · 统计学 2011-03-31 Makoto Yamada , Masashi Sugiyama , Jun Sese

We propose a novel approach to sufficient dimension reduction in regression, based on estimating contour directions of negligible variation for the response surface. These directions span the orthogonal complement of the minimal space…

机器学习 · 计算机科学 2014-08-15 Bing Li , Hongyuan Zha , Francesca Chiaromonte

We propose a novel method for parameterizations of triangle meshes by finding an optimal quasiconformal map that minimizes an energy consisting of a relative entropy term and a quasiconformal term. By prescribing a prior probability measure…

数值分析 · 数学 2025-11-03 Zhipeng Zhu , Lok Ming Lui

CTR prediction in real-world business is a difficult machine learning problem with large scale nonlinear sparse data. In this paper, we introduce an industrial strength solution with model named Large Scale Piece-wise Linear Model (LS-PLM).…

机器学习 · 统计学 2017-04-19 Kun Gai , Xiaoqiang Zhu , Han Li , Kai Liu , Zhe Wang

The partial least squares procedure was originally developed to estimate the slope parameter in multivariate parametric models. More recently it has gained popularity in the functional data literature. There, the partial least squares…

统计理论 · 数学 2012-05-30 Aurore Delaigle , Peter Hall

Phase retrieval refers to a classical nonconvex problem of recovering a signal from its Fourier magnitude measurements. Inspired by the compressed sensing technique, signal sparsity is exploited in recent studies of phase retrieval to…

计算物理 · 物理学 2013-02-04 Zai Yang , Cishen Zhang , Lihua Xie

Large Language Models (LLMs) and their multimodal variants (LVLMs) hold immense promise for scientific and engineering applications, particularly in processing visual information like scientific diagrams. However, their practical deployment…

计算机视觉与模式识别 · 计算机科学 2025-08-26 Minghao Zhou , Rafael Souza , Yaqian Hu , Luming Che
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