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We leverage proof techniques Fourier analysis and an existing result in coding theory to derive new bounds for the problem of non-interactive simulation of binary random variables. Previous bounds in the literature were derived by applying…

信息论 · 计算机科学 2021-01-26 Lei Yu , Vincent Y. F. Tan

We address the challenge of learning safe and robust decision policies in presence of uncertainty in context of the real scientific problem of adaptive resource oversubscription to enhance resource efficiency while ensuring safety against…

Distribution testing deals with what information can be deduced about an unknown distribution over $\{1,\ldots,n\}$, where the algorithm is only allowed to obtain a relatively small number of independent samples from the distribution. In…

计算复杂性 · 计算机科学 2016-09-23 Eldar Fischer , Oded Lachish , Yadu Vasudev

We introduce a new technique for designing fixed-parameter algorithms for cut problems, namely randomized contractions. We apply our framework to obtain the first FPT algorithm for the Unique Label Cover problem and new FPT algorithms with…

数据结构与算法 · 计算机科学 2016-07-20 Rajesh Chitnis , Marek Cygan , MohammadTaghi Hajiaghayi , Marcin Pilipczuk , Michał Pilipczuk

We show that $L^2$-accurate score estimation, in the absence of strong assumptions on the data distribution, is computationally hard even when sample complexity is polynomial in the relevant problem parameters. Our reduction builds on the…

机器学习 · 计算机科学 2024-04-05 Min Jae Song

In this paper, we study a problem of detecting the source of diffused information by querying individuals, given a sample snapshot of the information diffusion graph, where two queries are asked: {\em (i)} whether the respondent is the…

社会与信息网络 · 计算机科学 2020-10-07 Jaeyoung Choi , Yung Yi

As DNA data storage moves closer to practical deployment, minimizing sequencing coverage depth is essential to reduce both operational costs and retrieval latency. This paper addresses the recently studied Random Access Problem, which…

信息论 · 计算机科学 2026-01-13 Chen Wang , Eitan Yaakobi

Pursuing invariant prediction from heterogeneous environments opens the door to learning causality in a purely data-driven way and has several applications in causal discovery and robust transfer learning. However, existing methods such as…

统计理论 · 数学 2025-01-30 Yihong Gu , Cong Fang , Yang Xu , Zijian Guo , Jianqing Fan

This paper introduces a new algorithm for the fundamental problem of generating a random integer from a discrete probability distribution using a source of independent and unbiased random coin flips. We prove that this algorithm, which we…

统计计算 · 统计学 2020-07-03 Feras A. Saad , Cameron E. Freer , Martin C. Rinard , Vikash K. Mansinghka

Given i.i.d. data from an unknown distribution, we consider the problem of predicting future items. An adaptive way to estimate the probability density is to recursively subdivide the domain to an appropriate data-dependent granularity. A…

统计理论 · 数学 2007-06-13 Marcus Hutter

Given i.i.d. data from an unknown distribution, we consider the problem of predicting future items. An adaptive way to estimate the probability density is to recursively subdivide the domain to an appropriate data-dependent granularity. A…

概率论 · 数学 2009-12-30 Marcus Hutter

The selection of algorithms is a crucial step in designing AI services for real-world time series classification use cases. Traditional methods such as neural architecture search, automated machine learning, combined algorithm selection,…

机器学习 · 计算机科学 2024-10-02 Lars Böcking , Leopold Müller , Niklas Kühl

In this paper we describe a randomized algorithm which returns a maximal spanning forest of an unknown {\em weighted} undirected graph making $O(n)$ $\mathsf{CUT}$ queries in expectation. For weighted graphs, this is optimal due to a result…

数据结构与算法 · 计算机科学 2023-06-21 Hang Liao , Deeparnab Chakrabarty

Given a finite set of unknown distributions or arms that can be sampled, we consider the problem of identifying the one with the maximum mean using a $\delta$-correct algorithm (an adaptive, sequential algorithm that restricts the…

机器学习 · 计算机科学 2023-11-27 Shubhada Agrawal , Sandeep Juneja , Peter Glynn

Causal inference from observational data provides strong evidence for the best action in decision-making without performing expensive randomized trials. The effect of an action is usually not identifiable under unobserved confounding, even…

机器学习 · 计算机科学 2026-02-02 Md Musfiqur Rahman , Ziwei Jiang , Hilaf Hasson , Murat Kocaoglu

Existing algorithms for subgroup discovery with numerical targets do not optimize the error or target variable dispersion of the groups they find. This often leads to unreliable or inconsistent statements about the data, rendering practical…

人工智能 · 计算机科学 2017-07-06 Mario Boley , Bryan R. Goldsmith , Luca M. Ghiringhelli , Jilles Vreeken

Graphical models are useful tools for describing structured high-dimensional probability distributions. Development of efficient algorithms for learning graphical models with least amount of data remains an active research topic.…

机器学习 · 计算机科学 2021-11-18 Marc Vuffray , Sidhant Misra , Andrey Y. Lokhov

Sparse coding is a crucial subroutine in algorithms for various signal processing, deep learning, and other machine learning applications. The central goal is to learn an overcomplete dictionary that can sparsely represent a given input…

机器学习 · 统计学 2017-12-14 Thanh V. Nguyen , Raymond K. W. Wong , Chinmay Hegde

What is the optimal number of independent observations from which a sparse Gaussian Graphical Model can be correctly recovered? Information-theoretic arguments provide a lower bound on the minimum number of samples necessary to perfectly…

机器学习 · 计算机科学 2018-11-20 Sidhant Misra , Marc Vuffray , Andrey Y. Lokhov

Edge-labeled graphs are widely used to describe relationships between entities in a database. Given a query subgraph that represents an example of what the user is searching for, we study the problem of efficiently searching for similar…

数据库 · 计算机科学 2020-05-12 Zhaoyang Shao , Davood Rafiei , Themis Palpanas