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Neural models have transformed the fundamental information retrieval problem of mapping a query to a giant set of items. However, the need for efficient and low latency inference forces the community to reconsider efficient approximate…

Information Retrieval · Computer Science 2021-03-19 Gaurav Gupta , Tharun Medini , Anshumali Shrivastava , Alexander J Smola

Many science and engineering problems rely on expensive computational simulations, where a multi-fidelity approach can accelerate the exploration of a parameter space. We study efficient allocation of a simulation budget using a Gaussian…

Machine Learning · Computer Science 2025-10-13 Murray Cutforth , Yiming Yang , Tiffany Fan , Serge Guillas , Eric Darve

We give a new algorithm for learning mixtures of $k$ Gaussians (with identity covariance in $\mathbb{R}^n$) to TV error $\varepsilon$, with quasi-polynomial ($O(n^{\text{poly\,log}\left(\frac{n+k}{\varepsilon}\right)})$) time and sample…

Machine Learning · Computer Science 2025-03-05 Khashayar Gatmiry , Jonathan Kelner , Holden Lee

Gaussian processes are employed for non-parametric regression in a Bayesian setting. They generalize linear regression, embedding the inputs in a latent manifold inside an infinite-dimensional reproducing kernel Hilbert space. We can…

Numerical Analysis · Mathematics 2021-07-13 Francesco Romor , Marco Tezzele , Gianluigi Rozza

A major limitation of machine learning (ML) prediction models is that they recover associational, rather than causal, predictive relationships between variables. In high-stakes automation applications of ML this is problematic, as the model…

Machine Learning · Computer Science 2025-11-04 Jianqiao Mao , Max A. Little

We revisit the framework of Smart PAC learning, which seeks supervised learners which compete with semi-supervised learners that are provided full knowledge of the marginal distribution on unlabeled data. Prior work has shown that such…

Machine Learning · Computer Science 2026-03-03 Shaddin Dughmi , Alireza F. Pour

Deep reinforcement learning in continuous domains focuses on learning control policies that map states to distributions over actions that ideally concentrate on the optimal choices in each step. In multi-agent navigation problems, the…

Robotics · Computer Science 2022-10-20 Chenning Yu , Hongzhan Yu , Sicun Gao

Affordances are fundamental descriptors of relationships between actions, objects and effects. They provide the means whereby a robot can predict effects, recognize actions, select objects and plan its behavior according to desired goals.…

Robotics · Computer Science 2024-02-12 Pedro Osório , Alexandre Bernardino , Ruben Martinez-Cantin , José Santos-Victor

Gaussian Graphical Models (GGM) are popularly used in neuroimaging studies based on fMRI, EEG or MEG to estimate functional connectivity, or relationships between remote brain regions. In multi-subject studies, scientists seek to identify…

Methodology · Statistics 2017-05-01 Manjari Narayan , Genevera I. Allen , Steffie Tomson

We study the problem of agnostically learning halfspaces which is defined by a fixed but unknown distribution $\mathcal{D}$ on $\mathbb{Q}^n\times \{\pm 1\}$. We define $\mathrm{Err}_{\mathrm{HALF}}(\mathcal{D})$ as the least error of a…

Computational Complexity · Computer Science 2016-03-15 Amit Daniely

Generalised linear models for multi-class classification problems are one of the fundamental building blocks of modern machine learning tasks. In this manuscript, we characterise the learning of a mixture of $K$ Gaussians with generic means…

We study three problems that involve identifying homogeneous halfspaces under Gaussian distributions: agnostic learning, one-sided reliable learning, and fairness auditing. In each of these problems, we are given labeled examples…

Machine Learning · Computer Science 2026-04-30 Jizhou Huang , Brendan Juba

In this manuscript, we study the learning of deep attention neural networks, defined as the composition of multiple self-attention layers, with tied and low-rank weights. We first establish a mapping of such models to sequence multi-index…

Machine Learning · Computer Science 2025-11-13 Emanuele Troiani , Hugo Cui , Yatin Dandi , Florent Krzakala , Lenka Zdeborová

Annotating data for supervised learning can be costly. When the annotation budget is limited, active learning can be used to select and annotate those observations that are likely to give the most gain in model performance. We propose an…

Machine Learning · Statistics 2024-08-19 Amanda Olmin , Jakob Lindqvist , Lennart Svensson , Fredrik Lindsten

Modern information retrieval systems, including web search, ads placement, and recommender systems, typically rely on learning from user feedback. Click models, which study how users interact with a ranked list of items, provide a useful…

Information Retrieval · Computer Science 2021-04-20 Xinyi Dai , Jianghao Lin , Weinan Zhang , Shuai Li , Weiwen Liu , Ruiming Tang , Xiuqiang He , Jianye Hao , Jun Wang , Yong Yu

Understanding large-scale patterns in student course enrollment is a problem of great interest to university administrators and educational researchers. Yet important decisions are often made without a good quantitative framework of the…

Machine Learning · Computer Science 2019-06-03 Nate Gruver , Ali Malik , Brahm Capoor , Chris Piech , Mitchell L. Stevens , Andreas Paepcke

Eliminating examination bias accurately is pivotal to apply click-through data to train an unbiased ranking model. However, most examination-bias estimators are limited to the hypothesis of Position-Based Model (PBM), which supposes that…

Information Retrieval · Computer Science 2023-02-28 Xiaoshu Chen , Xiangsheng Li , Kunliang Wei , Bin Hu , Lei Jiang , Zeqian Huang , Zhanhui Kang

In this work, we propose a (linearized) Alternating Direction Method-of-Multipliers (ADMM) algorithm for minimizing a convex function subject to a nonconvex constraint. We focus on the special case where such constraint arises from the…

Machine Learning · Computer Science 2019-07-09 Fabian Latorre Gómez , Armin Eftekhari , Volkan Cevher

We study distribution-free nonparametric regression following a notion of average smoothness initiated by Ashlagi et al. (2021), which measures the "effective" smoothness of a function with respect to an arbitrary unknown underlying…

Machine Learning · Computer Science 2024-02-14 Steve Hanneke , Aryeh Kontorovich , Guy Kornowski

Indexing is an effective way to support efficient query processing in large databases. Recently the concept of learned index, which replaces or complements traditional index structures with machine learning models, has been actively…

Databases · Computer Science 2022-08-01 Yao Tian , Tingyun Yan , Xi Zhao , Kai Huang , Xiaofang Zhou