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We study the problem of distributed mean estimation and optimization under communication constraints. We propose a correlated quantization protocol whose leading term in the error guarantee depends on the mean deviation of data points…

Machine Learning · Computer Science 2022-07-12 Ananda Theertha Suresh , Ziteng Sun , Jae Hun Ro , Felix Yu

We apply two variations of the principle of Minimum Cross Entropy (the Kullback information measure) to fit parameterized probability density models to observed data densities. For an array beamforming problem with P incident narrowband…

Information Theory · Computer Science 2008-06-24 Cheng-Yuan Liou , Bruce R. Musicus

In recent years, model collapse has become a critical issue in language model training, making it essential to understand the underlying mechanisms driving this phenomenon. In this paper, we investigate recursive parametric model training…

Machine Learning · Statistics 2025-05-23 Shirong Xu , Hengzhi He , Guang Cheng

The Cram\'er-Rao bound (CRB), a well-known lower bound on the performance of any unbiased parameter estimator, has been used to study a wide variety of problems. However, to obtain the CRB, requires an analytical expression for the…

Machine Learning · Computer Science 2022-10-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

The field of Contextual Optimization (CO) integrates machine learning and optimization to solve decision making problems under uncertainty. Recently, a risk sensitive variant of CO, known as Conditional Robust Optimization (CRO), combines…

Machine Learning · Computer Science 2024-03-08 Abhilash Chenreddy , Erick Delage

This paper proposes a novel approach to construct data-driven online solutions to optimization problems (P) subject to a class of distributionally uncertain dynamical systems. The introduced framework allows for the simultaneous learning of…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Dan Li , Dariush Fooladivanda , Sonia Martinez

Designing and analyzing model-based RL (MBRL) algorithms with guaranteed monotonic improvement has been challenging, mainly due to the interdependence between policy optimization and model learning. Existing discrepancy bounds generally…

Machine Learning · Computer Science 2023-11-09 Tianying Ji , Yu Luo , Fuchun Sun , Mingxuan Jing , Fengxiang He , Wenbing Huang

Much of the field of Machine Learning exhibits a prominent set of failure modes, including vulnerability to adversarial examples, poor out-of-distribution (OoD) detection, miscalibration, and willingness to memorize random labelings of…

Machine Learning · Computer Science 2023-07-19 Ian Fischer

Time-varying stochastic optimization problems frequently arise in machine learning practice (e.g. gradual domain shift, object tracking, strategic classification). Although most problems are solved in discrete time, the underlying process…

Machine Learning · Computer Science 2023-02-24 Subha Maity , Debarghya Mukherjee , Moulinath Banerjee , Yuekai Sun

We extend conformal prediction to control the expected value of any monotone loss function. The algorithm generalizes split conformal prediction together with its coverage guarantee. Like conformal prediction, the conformal risk control…

Methodology · Statistics 2025-06-17 Anastasios N. Angelopoulos , Stephen Bates , Adam Fisch , Lihua Lei , Tal Schuster

We investigate the connections between compression learning and scenario based optimization. We first show how to strengthen, or relax the consistency assumption at the basis of compression learning and study the learning and generalization…

Systems and Control · Computer Science 2014-03-07 Kostas Margellos , Maria Prandini , John Lygeros

Depending on the frequency range of interest, finite element-based modeling of acoustic problems leads to dynamical systems with very high dimensional state spaces. As these models can mostly be described with second order linear dynamical…

Numerical Analysis · Mathematics 2024-12-17 Siyang Hu , Nick Wulbusch , Alexey Chernov , Tamara Bechtold

We investigate a robust penalized logistic regression algorithm based on a minimum distance criterion. Influential outliers are often associated with the explosion of parameter vector estimates, but in the context of standard logistic…

Methodology · Statistics 2014-02-21 Eric C. Chi , David W. Scott

Recently, contrastive learning has risen to be a promising approach for large-scale self-supervised learning. However, theoretical understanding of how it works is still unclear. In this paper, we propose a new guarantee on the downstream…

Machine Learning · Computer Science 2022-05-30 Yifei Wang , Qi Zhang , Yisen Wang , Jiansheng Yang , Zhouchen Lin

Machine learning models are increasingly used in practice. However, many machine learning methods are sensitive to test or operational data that is dissimilar to training data. Out-of-distribution (OOD) data is known to increase the…

Machine Learning · Computer Science 2023-03-01 Tyler Cody , Laura Freeman

Machine learning systems are often applied to data that is drawn from a different distribution than the training distribution. Recent work has shown that for a variety of classification and signal reconstruction problems, the…

Machine Learning · Computer Science 2023-07-24 Daniel LeJeune , Jiayu Liu , Reinhard Heckel

Necessary conditions for high-order optimality in smooth nonlinear constrained optimization are explored and their inherent intricacy discussed. A two-phase minimization algorithm is proposed which can achieve approximate first-, second-…

Optimization and Control · Mathematics 2021-05-31 C. Cartis , N. I. M. Gould , Ph. L. Toint

Neural networks are increasingly used to estimate parameters in quantitative MRI, in particular in magnetic resonance fingerprinting. Their advantages over the gold standard non-linear least square fitting are their superior speed and their…

This paper discusses an alternative to conditioning that may be used when the probability distribution is not fully specified. It does not require any assumptions (such as CAR: coarsening at random) on the unknown distribution. The…

Methodology · Statistics 2016-05-03 Thijs van Ommen , Wouter M. Koolen , Thijs E. Feenstra , Peter D. Grünwald

Click-through rate (CTR) prediction plays a crucial role in modern recommender systems. While many existing methods utilize ensemble networks to improve CTR model performance, they typically restrict the ensemble to only two or three…

Information Retrieval · Computer Science 2025-06-23 Honghao Li , Lei Sang , Yi Zhang , Guangming Cui , Yiwen Zhang
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