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We consider the basic problem of learning an unknown partition of $n$ elements into at most $k$ sets using simple queries that reveal information about a small subset of elements. Our starting point is the well-studied pairwise same-set…

Data Structures and Algorithms · Computer Science 2025-06-24 Hadley Black , Arya Mazumdar , Barna Saha

We present an approach that improves the sample complexity for a variety of curve fitting problems, including active learning for linear regression, polynomial regression, and continuous sparse Fourier transforms. In the active linear…

Machine Learning · Computer Science 2019-03-25 Xue Chen , Eric Price

We present a differentially private learner for halfspaces over a finite grid $G$ in $\mathbb{R}^d$ with sample complexity $\approx d^{2.5}\cdot 2^{\log^*|G|}$, which improves the state-of-the-art result of [Beimel et al., COLT 2019] by a…

Machine Learning · Computer Science 2020-11-04 Haim Kaplan , Yishay Mansour , Uri Stemmer , Eliad Tsfadia

Deep clustering, which learns representation and semantic clustering without labels information, poses a great challenge for deep learning-based approaches. Despite significant progress in recent years, most existing methods focus on…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Chuyu Zhang , Hui Ren , Xuming He

We consider an active learning setting where the algorithm has access to a large pool of unlabeled data and a small pool of labeled data. In each iteration, the algorithm chooses few unlabeled data points and obtains their labels from an…

Machine Learning · Computer Science 2019-10-11 Muni Sreenivas Pydi , Vishnu Suresh Lokhande

In the past decade, deep neural networks have achieved significant progress in point cloud learning. However, collecting large-scale precisely-annotated training data is extremely laborious and expensive, which hinders the scalability of…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Aoran Xiao , Xiaoqin Zhang , Ling Shao , Shijian Lu

We develop the first active learning method for contextual linear optimization. Specifically, we introduce a label acquisition algorithm that sequentially decides whether to request the ``labels'' of feature samples from an unlabeled data…

Machine Learning · Computer Science 2025-01-31 Mo Liu , Paul Grigas , Heyuan Liu , Zuo-Jun Max Shen

A set of high dimensional points $X=\{x_1, x_2,\ldots, x_n\} \subset R^d$ in isotropic position is said to be $\delta$-anti concentrated if for every direction $v$, the fraction of points in $X$ satisfying $|\langle x_i,v \rangle |\leq…

Data Structures and Algorithms · Computer Science 2024-10-29 Ainesh Bakshi , Pravesh Kothari , Goutham Rajendran , Madhur Tulsiani , Aravindan Vijayaraghavan

We show that $n$-variable tree-structured Ising models can be learned computationally-efficiently to within total variation distance $\epsilon$ from an optimal $O(n \ln n/\epsilon^2)$ samples, where $O(\cdot)$ hides an absolute constant…

Machine Learning · Computer Science 2020-12-01 Constantinos Daskalakis , Qinxuan Pan

In this paper, we provide a rigorous theoretical investigation of an online learning version of the Facility Location problem which is motivated by emerging problems in real-world applications. In our formulation, we are given a set of…

Machine Learning · Computer Science 2020-07-07 Stephen Pasteris , Ting He , Fabio Vitale , Shiqiang Wang , Mark Herbster

We show strong (and surprisingly simple) lower bounds for weakly learning intersections of halfspaces in the improper setting. Strikingly little is known about this problem. For instance, it is not even known if there is a polynomial-time…

Computational Complexity · Computer Science 2026-05-06 Stefan Tiegel

Neural language models process sequences of words, but the mathematical operations inside them are insensitive to the order in which words appear. Positional encodings are the component added to remedy this. Despite their importance,…

Machine Learning · Computer Science 2026-04-08 Giansalvo Cirrincione

Classic machine learning algorithms learn from labelled examples. For example, to design a machine translation system, a typical training set will consist of English sentences and their translation. There is a stronger model, in which the…

Machine Learning · Computer Science 2015-12-02 Galit Bary

There are many high dimensional function classes that have fast agnostic learning algorithms when assumptions on the distribution of examples can be made, such as Gaussianity or uniformity over the domain. But how can one be confident that…

Machine Learning · Computer Science 2022-11-22 Ronitt Rubinfeld , Arsen Vasilyan

We present a learning approach for localization and segmentation of objects in an image in a manner that is robust to partial occlusion. Our algorithm produces a bounding box around the full extent of the object and labels pixels in the…

Computer Vision and Pattern Recognition · Computer Science 2015-07-29 Samarth Brahmbhatt , Heni Ben Amor , Henrik Christensen

We consider a binary classification problem when the data comes from a mixture of two rotationally symmetric distributions satisfying concentration and anti-concentration properties enjoyed by log-concave distributions among others. We show…

Machine Learning · Computer Science 2021-08-26 Spencer Frei , Difan Zou , Zixiang Chen , Quanquan Gu

We initiate the rigorous study of classification in semimetric spaces, which are point sets with a distance function that is non-negative and symmetric, but need not satisfy the triangle inequality. For metric spaces, the doubling dimension…

Machine Learning · Computer Science 2015-02-24 Lee-Ad Gottlieb , Aryeh Kontorovich

Deep neural networks have great representation power, but typically require large numbers of training examples. This motivates deep active learning methods that can significantly reduce the amount of labeled training data. Empirical…

Machine Learning · Computer Science 2026-01-01 Yinglun Zhu , Robert Nowak

We present label gradient alignment, a novel algorithm for semi-supervised learning which imputes labels for the unlabeled data and trains on the imputed labels. We define a semantically meaningful distance metric on the input space by…

Machine Learning · Computer Science 2019-02-07 Jacob Jackson , John Schulman

We give the first almost optimal polynomial-time proper learning algorithm of Boolean sparse multivariate polynomial under the uniform distribution. For $s$-sparse polynomial over $n$ variables and $\epsilon=1/s^\beta$, $\beta>1$, our…

Machine Learning · Computer Science 2022-02-08 Nader H. Bshouty
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