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The development of coherent missing data models to account for nonmonotone missing at random (MAR) data by inverse probability weighting (IPW) remains to date largely unresolved. As a consequence, IPW has essentially been restricted for use…

Methodology · Statistics 2019-01-23 BaoLuo Sun , Eric J. Tchetgen Tchetgen

Influence maximization(IM) problem is to find a seed set in a social network which achieves the maximal influence spread. This problem plays an important role in viral marketing. Numerous models have been proposed to solve this problem.…

Social and Information Networks · Computer Science 2015-10-22 Yaxuan Wang , Hongzhi Wang , Jianzhong Li

Extracting relevant information from data is crucial for all forms of learning. The information bottleneck (IB) method formalizes this, offering a mathematically precise and conceptually appealing framework for understanding learning…

Machine Learning · Computer Science 2021-10-27 Vudtiwat Ngampruetikorn , David J. Schwab

It is common practice to combine deep neural networks into ensembles. These deep ensembles can benefit from the cancellation of errors effect: Errors by ensemble members may average out, leading to better generalization performance than…

Machine Learning · Computer Science 2025-01-07 Nick Hauptvogel , Christian Igel

To effectively study complex causal systems, it is often useful to construct abstractions of parts of the system by discarding irrelevant details while preserving key features. The Information Bottleneck (IB) method is a widely used…

Machine Learning · Computer Science 2025-06-12 Francisco N. F. Q. Simoes , Mehdi Dastani , Thijs van Ommen

Explaining the black-box predictions of NLP models naturally and accurately is an important open problem in natural language generation. These free-text explanations are expected to contain sufficient and carefully-selected evidence to form…

Computation and Language · Computer Science 2023-07-12 Qintong Li , Zhiyong Wu , Lingpeng Kong , Wei Bi

Learning invariant (causal) features for out-of-distribution (OOD) generalization has attracted extensive attention recently, and among the proposals invariant risk minimization (IRM) is a notable solution. In spite of its theoretical…

Machine Learning · Computer Science 2023-02-01 Bin Deng , Kui Jia

Information bottleneck (IB) is a method for extracting information from one random variable $X$ that is relevant for predicting another random variable $Y$. To do so, IB identifies an intermediate "bottleneck" variable $T$ that has low…

Machine Learning · Statistics 2022-11-22 Artemy Kolchinsky , Brendan D. Tracey , Steven Van Kuyk

Normalization is fundamental to deep learning, but existing approaches such as BatchNorm, LayerNorm, and RMSNorm are variance-centric by enforcing zero mean and unit variance, stabilizing training without controlling how representations…

Machine Learning · Computer Science 2026-01-30 Xiandong Zou , Jia Li , Xiaotong Yuan , Pan Zhou

Deep neural networks (DNNs) exhibit an exceptional capacity for generalization in practical applications. This work aims to capture the effect and benefits of depth for supervised learning via information-theoretic generalization bounds. We…

Machine Learning · Computer Science 2025-05-09 Haiyun He , Ziv Goldfeld

Neural networks can be compressed to reduce memory and computational requirements, or to increase accuracy by facilitating the use of a larger base architecture. In this paper we focus on pruning individual neurons, which can simultaneously…

Computer Vision and Pattern Recognition · Computer Science 2018-04-20 Bin Dai , Chen Zhu , David Wipf

Deep neural networks excel in supervised learning tasks but are constrained by the need for extensive labeled data. Self-supervised learning emerges as a promising alternative, allowing models to learn without explicit labels. Information…

Machine Learning · Computer Science 2023-11-22 Ravid Shwartz-Ziv , Yann LeCun

To improve how neural networks function it is crucial to understand their learning process. The information bottleneck theory of deep learning proposes that neural networks achieve good generalization by compressing their representations to…

Machine Learning · Computer Science 2023-04-03 Ivan Chelombiev , Conor Houghton , Cian O'Donnell

The Information Bottleneck (IB) principle facilitates effective representation learning by preserving label-relevant information while compressing irrelevant information. However, its strong reliance on accurate labels makes it inherently…

Machine Learning · Computer Science 2025-12-12 Yi Huang , Qingyun Sun , Yisen Gao , Haonan Yuan , Xingcheng Fu , Jianxin Li

In the realm of statistical learning, the increasing volume of accessible data and increasing model complexity necessitate robust methodologies. This paper explores two branches of robust Bayesian methods in response to this trend. The…

Methodology · Statistics 2024-12-02 Masahiro Tanaka

In the emerging paradigm of edge learning, neural networks (NNs) are partitioned across distributed edge devices that collaboratively perform inference via wireless transmission. However, deploying NNs for edge inference over wireless…

Information Theory · Computer Science 2026-05-08 Yangshuo He , Guanding Yu , Jingge Zhu

Efficient communication requires balancing informativity and simplicity when encoding meanings. The Information Bottleneck (IB) framework captures this trade-off formally, predicting that natural language systems cluster near an optimal…

Computation and Language · Computer Science 2026-04-07 Antoine Taroni , Ludovic Moncla , Frederique Laforest

Understanding the generalization behavior of deep neural networks remains a fundamental challenge in modern statistical learning theory. Among existing approaches, PAC-Bayesian norm-based bounds have demonstrated particular promise due to…

Machine Learning · Statistics 2026-01-14 Xinping Yi , Gaojie Jin , Xiaowei Huang , Shi Jin

We consider the problem of learning Bayesian networks (BNs) from complete discrete data. This problem of discrete optimisation is formulated as an integer program (IP). We describe the various steps we have taken to allow efficient solving…

Artificial Intelligence · Computer Science 2015-03-24 Mark Bartlett , James Cussens

While there has been progress in developing non-vacuous generalization bounds for deep neural networks, these bounds tend to be uninformative about why deep learning works. In this paper, we develop a compression approach based on…

Machine Learning · Computer Science 2022-11-28 Sanae Lotfi , Marc Finzi , Sanyam Kapoor , Andres Potapczynski , Micah Goldblum , Andrew Gordon Wilson
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