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A core step of every algorithm for learning regression trees is the selection of the best splitting variable from the available covariates and the corresponding split point. Early tree algorithms (e.g., AID, CART) employed greedy search…

Methodology · Statistics 2019-06-26 Lisa Schlosser , Torsten Hothorn , Achim Zeileis

Instance ranking problems intend to recover the true ordering of the instances in a data set with a variety of applications in for example scientific, social and financial contexts. Robust statistics studies the behaviour of estimators in…

Statistics Theory · Mathematics 2021-11-02 Tino Werner

Sequential testing problems involve a complex system with several components, each of which is "working" with some independent probability. The outcome of each component can be determined by performing a test, which incurs some cost. The…

Data Structures and Algorithms · Computer Science 2023-08-22 Rohan Ghuge , Anupam Gupta , Viswanath Nagarajan

In this paper, we consider non-convex optimization problems under \textit{unknown} yet safety-critical constraints. Such problems naturally arise in a variety of domains including robotics, manufacturing, and medical procedures, where it is…

Machine Learning · Computer Science 2020-06-25 Mohammad Fereydounian , Zebang Shen , Aryan Mokhtari , Amin Karbasi , Hamed Hassani

Robust sunflowers are a generalization of combinatorial sunflowers that have applications in monotone circuit complexity, DNF sparsification, randomness extractors, and recent advances on the Erd\H{o}s-Rado sunflower conjecture. The recent…

Computational Complexity · Computer Science 2022-08-08 Bruno Pasqualotto Cavalar , Mrinal Kumar , Benjamin Rossman

We investigate the problem of identity testing for multidimensional histogram distributions. A distribution $p: D \rightarrow \mathbb{R}_+$, where $D \subseteq \mathbb{R}^d$, is called a $k$-histogram if there exists a partition of the…

Data Structures and Algorithms · Computer Science 2019-02-20 Ilias Diakonikolas , Daniel M. Kane , John Peebles

This work introduces the IB-score, a family of independence-based score functions for robust learning of Markov networks independence structures. Markov networks are a widely used graphical representation of probability distributions, with…

Artificial Intelligence · Computer Science 2015-03-17 Facundo Bromberg , Federico Schlüter

We study several questions in the reliable agnostic learning framework of Kalai et al. (2009), which captures learning tasks in which one type of error is costlier than others. A positive reliable classifier is one that makes no false…

Machine Learning · Computer Science 2014-02-25 Varun Kanade , Justin Thaler

The optimal execution problem has always been a continuously focused research issue, and many reinforcement learning (RL) algorithms have been studied. In this article, we consider the execution problem of targeting the volume weighted…

Optimization and Control · Mathematics 2024-11-12 Xingyu Zhou , Wenbin Chen , Mingyu Xu

We present a new algorithm which detects the maximal possible number of matched disjoint pairs satisfying a given caliper when a bipartite matching is done with respect to a scalar index (e.g., propensity score), and constructs a…

Computation · Statistics 2022-07-20 Pavel S. Ruzankin

We study private matrix analysis in the sliding window model where only the last $W$ updates to matrices are considered useful for analysis. We give first efficient $o(W)$ space differentially private algorithms for spectral approximation,…

Machine Learning · Computer Science 2020-09-08 Jalaj Upadhyay , Sarvagya Upadhyay

The Invertible Bloom Lookup Table (IBLT) is a probabilistic concise data structure for set representation that supports a listing operation as the recovery of the elements in the represented set. Its applications can be found in network…

Information Theory · Computer Science 2022-12-29 Avi Mizrahi , Daniella Bar-Lev , Eitan Yaakobi , Ori Rottenstreich

In list-decodable learning, we are given a set of data points such that an $\alpha$-fraction of these points come from a nice distribution $D$, for some small $\alpha \ll 1$, and the goal is to output a short list of candidate solutions,…

Machine Learning · Computer Science 2025-11-25 Ziyun Chen , Spencer Compton , Daniel Kane , Jerry Li

In many applications, we need algorithms which can align partially overlapping point sets and are invariant to the corresponding transformations. In this work, a method possessing such properties is realized by minimizing the objective of…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Wei Lian , Wangmeng Zuo

Reading comprehension is one of the crucial tasks for furthering research in natural language understanding. A lot of diverse reading comprehension datasets have recently been introduced to study various phenomena in natural language,…

Computation and Language · Computer Science 2020-01-01 Dheeru Dua , Ananth Gottumukkala , Alon Talmor , Sameer Singh , Matt Gardner

Object detectors are typically learned on fully-annotated training data with fixed predefined categories. However, categories are often required to be increased progressively. Usually, only the original training set annotated with old…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Bowen Zhao , Chen Chen , Xi Xiao , Shutao Xia

Folded Reed-Solomon (FRS) codes are a well-studied family of codes, known for achieving list decoding capacity. In this work, we give improved deterministic and randomized algorithms for list decoding FRS codes of rate $R$ up to radius…

Information Theory · Computer Science 2025-08-22 Vikrant Ashvinkumar , Mursalin Habib , Shashank Srivastava

Graded posets frequently arise throughout combinatorics, where it is natural to try to count the number of elements of a fixed rank. These counting problems are often $\#\textbf{P}$-complete, so we consider approximation algorithms for…

Data Structures and Algorithms · Computer Science 2023-04-11 Prateek Bhakta , Ben Cousins , Matthew Fahrbach , Dana Randall

We study the problem of {\em properly} learning large margin halfspaces in the agnostic PAC model. In more detail, we study the complexity of properly learning $d$-dimensional halfspaces on the unit ball within misclassification error…

Machine Learning · Computer Science 2019-08-30 Ilias Diakonikolas , Daniel M. Kane , Pasin Manurangsi

In the group testing problem, the goal is to identify a subset of defective items within a larger set of items based on tests whose outcomes indicate whether any defective item is present. This problem is relevant in areas such as medical…

Information Theory · Computer Science 2022-09-28 Nelvin Tan , Way Tan , Jonathan Scarlett
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