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We study general singular value shrinkage estimators in high-dimensional regression and classification, when the number of features and the sample size both grow proportionally to infinity. We allow models with general covariance matrices…

Statistics Theory · Mathematics 2020-04-01 Panagiotis Lolas

The best techniques for the constrained maximum-entropy sampling problem, a discrete-optimization problem arising in the design of experiments, are via a variety of concave continuous relaxations of the objective function. A standard…

Optimization and Control · Mathematics 2023-02-13 Zhongzhu Chen , Marcia Fampa , Jon Lee

Domain generalization is the task of learning models that generalize to unseen target domains. We propose a simple yet effective method for domain generalization, named cross-domain ensemble distillation (XDED), that learns domain-invariant…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Kyungmoon Lee , Sungyeon Kim , Suha Kwak

Large-sample data became prevalent as data acquisition became cheaper and easier. While a large sample size has theoretical advantages for many statistical methods, it presents computational challenges. Sketching, or compression, is a…

Machine Learning · Statistics 2020-05-11 Alexander F. Lapanowski , Irina Gaynanova

We show that some common and important global constraints like ALL-DIFFERENT and GCC can be decomposed into simple arithmetic constraints on which we achieve bound or range consistency, and in some cases even greater pruning. These…

Artificial Intelligence · Computer Science 2009-05-26 Christian Bessiere , George Katsirelos , Nina Narodytska , Claude-Guy Quimper , Toby Walsh

We investigate a general matrix factorization for deviance-based data losses, extending the ubiquitous singular value decomposition beyond squared error loss. While similar approaches have been explored before, our method leverages…

Machine Learning · Statistics 2023-07-04 Liang Wang , Luis Carvalho

Graph Neural Networks (GNNs) are proposed without considering the agnostic distribution shifts between training and testing graphs, inducing the degeneration of the generalization ability of GNNs on Out-Of-Distribution (OOD) settings. The…

Machine Learning · Computer Science 2024-03-12 Shaohua Fan , Xiao Wang , Chuan Shi , Peng Cui , Bai Wang

Deep Gaussian Processes learn probabilistic data representations for supervised learning by cascading multiple Gaussian Processes. While this model family promises flexible predictive distributions, exact inference is not tractable.…

Machine Learning · Statistics 2020-10-23 Jakob Lindinger , David Reeb , Christoph Lippert , Barbara Rakitsch

Machine learning models that are developed with invariance to certain types of data transformations have demonstrated superior generalization performance in practice. However, the underlying mechanism that explains why invariance leads to…

Machine Learning · Computer Science 2023-02-24 Sicheng Zhu , Bang An , Furong Huang

Generative data-free quantization emerges as a practical compression approach that quantizes deep neural networks to low bit-width without accessing the real data. This approach generates data utilizing batch normalization (BN) statistics…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Haotong Qin , Yifu Ding , Xiangguo Zhang , Jiakai Wang , Xianglong Liu , Jiwen Lu

Causal inference is made challenging by confounding, selection bias, and other complications. A common approach to addressing these difficulties is the inclusion of auxiliary data on the superpopulation of interest. Such data may measure a…

Methodology · Statistics 2024-04-16 Jaron J. R. Lee , AmirEmad Ghassami , Ilya Shpitser

Covariate-shift generalization, a typical case in out-of-distribution (OOD) generalization, requires a good performance on the unknown test distribution, which varies from the accessible training distribution in the form of covariate shift.…

Machine Learning · Computer Science 2023-10-18 Renzhe Xu , Xingxuan Zhang , Zheyan Shen , Tong Zhang , Peng Cui

We initiate an investigation of private sampling from distributions. Given a dataset with $n$ independent observations from an unknown distribution $P$, a sampling algorithm must output a single observation from a distribution that is close…

Machine Learning · Computer Science 2022-11-16 Sofya Raskhodnikova , Satchit Sivakumar , Adam Smith , Marika Swanberg

Discrete state spaces represent a major computational challenge to statistical inference, since the computation of normalisation constants requires summation over large or possibly infinite sets, which can be impractical. This paper…

Methodology · Statistics 2023-09-04 Takuo Matsubara , Jeremias Knoblauch , François-Xavier Briol , Chris. J. Oates

We study two-stage stochastic optimization models with mixed-integer decision variables appearing in both stages. For these models, dual decomposition enables parallel computing implementation and can quickly provide a lower bound for the…

Optimization and Control · Mathematics 2026-05-15 Pengyu Zhang , Ruiwei Jiang

Distillation (Hinton et al., 2015) and privileged information (Vapnik & Izmailov, 2015) are two techniques that enable machines to learn from other machines. This paper unifies these two techniques into generalized distillation, a framework…

Machine Learning · Statistics 2016-09-20 David Lopez-Paz , Léon Bottou , Bernhard Schölkopf , Vladimir Vapnik

We study the problem of estimating the parameters of a Gaussian distribution when samples are only shown if they fall in some (unknown) subset $S \subseteq \R^d$. This core problem in truncated statistics has long history going back to…

Statistics Theory · Mathematics 2019-08-06 Vasilis Kontonis , Christos Tzamos , Manolis Zampetakis

Massive sizes of real-world graphs, such as social networks and web graph, impose serious challenges to process and perform analytics on them. These issues can be resolved by working on a small summary of the graph instead . A summary is a…

Data Structures and Algorithms · Computer Science 2018-06-12 Maham Anwar Beg , Muhammad Ahmad , Arif Zaman , Imdadullah Khan

For many applications, an ensemble of base classifiers is an effective solution. The tuning of its parameters(number of classes, amount of data on which each classifier is to be trained on, etc.) requires G, the generalization error of a…

This paper generalises the exponential family GLM to allow arbitrary distributions for the response variable. This is achieved by combining the model-assisted regression approach from survey sampling with the GLM scoring algorithm, weighted…

Methodology · Statistics 2019-01-10 Murray Aitkin
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