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We introduce Volume-Sorted Prediction Set (VSPS), a novel method for uncertainty quantification in multi-target regression that uses conditional normalizing flows with conformal calibration. This approach constructs flexible, non-convex…

Machine Learning · Computer Science 2025-03-05 Rui Luo , Zhixin Zhou

Conformal prediction provides a principled framework for constructing predictive sets with finite-sample validity. While much of the focus has been on univariate response variables, existing multivariate methods either impose rigid…

Machine Learning · Statistics 2026-03-19 Sacha Braun , Liviu Aolaritei , Michael I. Jordan , Francis Bach

Subspace segmentation or subspace learning is a challenging and complicated task in machine learning. This paper builds a primary frame and solid theoretical bases for the minimal subspace segmentation (MSS) of finite samples. Existence and…

Machine Learning · Computer Science 2019-09-10 Zhenyue Zhang , Yuqing Xia

System Level Synthesis (SLS) parametrization facilitates controller synthesis for large, complex, and distributed systems by incorporating system level constraints (SLCs) into a convex SLS problem and mapping its solution to stable…

Systems and Control · Electrical Eng. & Systems 2021-01-14 Shih-Hao Tseng , Carmen {Amo Alonso} , SooJean Han

In this paper, we introduce a new heuristics for global optimization in scenarios where extensive evaluations of the cost function are expensive, inaccessible, or even prohibitive. The method, which we call Landscape-Sketch-and-Step (LSS),…

Machine Learning · Computer Science 2023-10-06 Rafael Monteiro , Kartik Sau

As a competitive alternative to least squares regression, quantile regression is popular in analyzing heterogenous data. For quantile regression model specified for one single quantile level $\tau$, major difficulties of semiparametric…

Methodology · Statistics 2017-05-29 Kani Chen , Yuanyuan Lin , Zhanfeng Wang , Zhiliang Ying

Ensuring reliable confidence scores from deep networks is of pivotal importance in critical decision-making systems, notably in the medical domain. While recent literature on calibrating deep segmentation networks has led to significant…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Balamurali Murugesan , Sukesh Adiga , Bingyuan Liu , Hervé Lombaert , Ismail Ben Ayed , Jose Dolz

We present Spatial Lifting (SL), a novel methodology for dense prediction tasks. SL operates by lifting standard inputs, such as 2D images, into a higher-dimensional space and subsequently processing them using networks designed for that…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Mingzhi Xu , Yizhe Zhang

Set prediction is about learning to predict a collection of unordered variables with unknown interrelations. Training such models with set losses imposes the structure of a metric space over sets. We focus on stochastic and underdefined…

Machine Learning · Computer Science 2021-02-23 David W. Zhang , Gertjan J. Burghouts , Cees G. M. Snoek

Through the lense of multilevel model (MLM) specification and regularization, this is a connect-the-dots introductory summary of Small Area Estimation, e.g. small group prediction informed by a complex sampling design. While a comprehensive…

Methodology · Statistics 2018-05-23 Michael Tzen

Large amounts of labeled data are typically required to train deep learning models. For many real-world problems, however, acquiring additional data can be expensive or even impossible. We present semi-supervised deep kernel learning…

Machine Learning · Computer Science 2019-03-05 Neal Jean , Sang Michael Xie , Stefano Ermon

Modern high-dimensional methods often adopt the "bet on sparsity" principle, while in supervised multivariate learning statisticians may face "dense" problems with a large number of nonzero coefficients. This paper proposes a novel…

Machine Learning · Statistics 2022-02-10 Yiyuan She , Jiahui Shen , Chao Zhang

Entropy-based inference methods have gained traction for improving the reliability of Large Language Models (LLMs). However, many existing approaches, such as entropy minimization techniques, suffer from high computational overhead and fail…

Machine Learning · Computer Science 2026-01-27 Jin Li , Zhebo Wang , Tianliang Lu , Mohan Li , Wenpeng Xing , Meng Han

Partial least squares (PLS) regression combines dimensionality reduction and prediction using a latent variable model. Since partial least squares regression (PLS-R) does not require matrix inversion or diagonalization, it can be applied to…

Methodology · Statistics 2014-08-05 Tzu-Yu Liu , Laura Trinchera , Arthur Tenenhaus , Dennis Wei , Alfred O. Hero

Density regression characterizes the conditional density of the response variable given the covariates, and provides much more information than the commonly used conditional mean or quantile regression. However, it is often computationally…

Methodology · Statistics 2022-06-15 Yunlu Chen , Nan Zhang

Stochastic convex optimization problems with expectation constraints (SOECs) are encountered in statistics and machine learning, business, and engineering. In data-rich environments, the SOEC objective and constraints contain expectations…

Optimization and Control · Mathematics 2020-01-03 Qihang Lin , Selvaprabu Nadarajah , Negar Soheili , Tianbao Yang

We address the problem of designing stabilizing control policies for nonlinear systems in discrete-time, while minimizing an arbitrary cost function. When the system is linear and the cost is convex, the System Level Synthesis (SLS)…

Systems and Control · Electrical Eng. & Systems 2023-01-03 Luca Furieri , Clara Lucía Galimberti , Giancarlo Ferrari-Trecate

In this paper, we revisit the large-scale constrained linear regression problem and propose faster methods based on some recent developments in sketching and optimization. Our algorithms combine (accelerated) mini-batch SGD with a new…

Machine Learning · Computer Science 2018-02-12 Di Wang , Jinhui Xu

Recent work has demonstrated surprisingly good performance of pre-trained LLMs on regression tasks (for example, time-series prediction), with the ability to incorporate expert prior knowledge and the information contained in textual…

Machine Learning · Computer Science 2026-05-14 Felix Biggs , Samuel Willis

Supervised dictionary learning (SDL) is a classical machine learning method that simultaneously seeks feature extraction and classification tasks, which are not necessarily a priori aligned objectives. The goal of SDL is to learn a…

Machine Learning · Statistics 2022-06-15 Joowon Lee , Hanbaek Lyu , Weixin Yao
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