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Consider the collection of all binary matrices having a specific sequence of row and column sums and consider sampling binary matrices uniformly from this collection. Practical algorithms for exact uniform sampling are not known, but there…

统计计算 · 统计学 2013-01-28 Matthew T. Harrison

We present novel techniques for analyzing the problem of low-rank matrix recovery. The methods are both considerably simpler and more general than previous approaches. It is shown that an unknown (n x n) matrix of rank r can be efficiently…

信息论 · 计算机科学 2011-03-22 David Gross

We study the problem of selecting a subset from a large action space shared by a family of bandits. In many natural situations, while the nominal set of actions is large, actions are highly correlated: many yield similar rewards across…

机器学习 · 计算机科学 2026-05-12 Quan Zhou , Mark Kozdoba , Shie Mannor

We consider the problem of recovering a function over the space of permutations (or, the symmetric group) over $n$ elements from given partial information; the partial information we consider is related to the group theoretic Fourier…

统计理论 · 数学 2011-06-21 Srikanth Jagabathula , Devavrat Shah

We consider the problem of automatically proving resource bounds. That is, we study how to prove that an integer-valued resource variable is bounded by a given program expression. Automatic resource-bound analysis has recently received…

编程语言 · 计算机科学 2021-10-15 Tianhan Lu , Bor-Yuh Evan Chang , Ashutosh Trivedi

Topic models have become popular tools for dimension reduction and exploratory analysis of text data which consists in observed frequencies of a vocabulary of $p$ words in $n$ documents, stored in a $p\times n$ matrix. The main premise is…

机器学习 · 统计学 2020-01-23 Xin Bing , Florentina Bunea , Marten Wegkamp

Forecasting project expenses is a crucial step for businesses to avoid budget overruns and project failures. Traditionally, this has been done by financial analysts or data science techniques such as time-series analysis. However, these…

机器学习 · 计算机科学 2023-10-25 Cheng Qian , Lucas Glass , Nikos Sidiropoulos

Recovery of low-rank matrices has recently seen significant activity in many areas of science and engineering, motivated by recent theoretical results for exact reconstruction guarantees and interesting practical applications. A number of…

机器学习 · 统计学 2011-09-12 S. Derin Babacan , Martin Luessi , Rafael Molina , Aggelos K. Katsaggelos

We present a novel method for matrix completion, specifically designed for matrices where one dimension is significantly larger than the other. Our Columns Selected Matrix Completion (CSMC) method combines Column Subset Selection with…

机器学习 · 计算机科学 2026-04-14 Antonina Krajewska , Ewa Niewiadomska-Szynkiewicz

This work investigates the ``small-vs-large gap'', where repeating on fewer samples can lead to compute saving during training compared to using a larger dataset. This is observed across algorithmic tasks, architectures and optimizers and…

机器学习 · 计算机科学 2026-05-21 Jingwen Liu , Ezra Edelman , Surbhi Goel , Bingbin Liu

Low-rank representation learning has emerged as a powerful tool for recovering missing values in power load data due to its ability to exploit the inherent low-dimensional structures of spatiotemporal measurements. Among various techniques,…

机器学习 · 计算机科学 2025-06-24 Yan Xia , Hao Feng , Hongwei Sun , Junjie Wang , Qicong Hu

We propose two algorithms for interpretation and boosting of tree-based ensemble methods. Both algorithms make use of mathematical programming models that are constructed with a set of rules extracted from an ensemble of decision trees. The…

机器学习 · 计算机科学 2020-09-22 S. Ilker Birbil , Mert Edali , Birol Yuceoglu

In this work we address the problem of finding feasible policies for Constrained Markov Decision Processes under probability one constraints. We argue that stationary policies are not sufficient for solving this problem, and that a rich…

机器学习 · 计算机科学 2023-02-14 Agustin Castellano , Hancheng Min , Juan Bazerque , Enrique Mallada

Randomized sampling has recently been demonstrated to be an efficient technique for computing approximate low-rank factorizations of matrices for which fast methods for computing matrix vector products are available. This paper describes an…

数值分析 · 数学 2008-06-17 Per-Gunnar Martinsson

We revisit the problem of large-scale assortment optimization under the multinomial logit choice model without any assumptions on the structure of the feasible assortments. Scalable real-time assortment optimization has become essential in…

最优化与控制 · 数学 2018-05-02 Deeksha Sinha , Theja Tulabandhula

Neural network-based methods for abstractive summarization produce outputs that are more fluent than other techniques, but which can be poor at content selection. This work proposes a simple technique for addressing this issue: use a…

计算与语言 · 计算机科学 2018-10-10 Sebastian Gehrmann , Yuntian Deng , Alexander M. Rush

Estimating heterogeneous treatment effects is central to data-driven decision-making, yet industrial applications often face a fundamental tension between limited randomized controlled trial (RCT) budgets and abundant but biased…

统计方法学 · 统计学 2026-02-26 Jiacan Gao , Xinyan Su , Mingyuan Ma , Yiyan Huang , Xiao Xu , Xinrui Wan , Tianqi Gu , Enyun Yu , Jiecheng Guo , Zhiheng Zhang

We study robust PCA for the fully observed setting, which is about separating a low rank matrix $\boldsymbol{L}$ and a sparse matrix $\boldsymbol{S}$ from their sum $\boldsymbol{D}=\boldsymbol{L}+\boldsymbol{S}$. In this paper, a new…

信息论 · 计算机科学 2021-06-29 HanQin Cai , Jian-Feng Cai , Ke Wei

Accurate estimation of camera matrices is an important step in structure from motion algorithms. In this paper we introduce a novel rank constraint on collections of fundamental matrices in multi-view settings. We show that in general, with…

计算机视觉与模式识别 · 计算机科学 2017-02-13 Soumyadip Sengupta , Tal Amir , Meirav Galun , Tom Goldstein , David W. Jacobs , Amit Singer , Ronen Basri

The matrix completion problem has been studied broadly under many underlying conditions. The problem has been explored under adaptive or non-adaptive, exact or estimation, single-phase or multi-phase, and many other categories. In most of…

机器学习 · 计算机科学 2022-05-10 Ilqar Ramazanli