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This paper proposes a new approach for approximate evaluation of #P-hard queries with probabilistic databases. In our approach, every query is evaluated entirely in the database engine by evaluating a fixed number of query plans, each…

数据库 · 计算机科学 2014-12-03 Wolfgang Gatterbauer , Dan Suciu

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

机器学习 · 计算机科学 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

In many applications, linear models fit the data poorly. This article studies an appealing alternative, the generalized regression model. This model only assumes that there exists an unknown monotonically increasing link function connecting…

统计方法学 · 统计学 2017-07-24 Fang Han , Hongkai Ji , Zhicheng Ji , Honglang Wang

Query evaluation over probabilistic databases is known to be intractable in many cases, even in data complexity, i.e., when the query is fixed. Although some restrictions of the queries [19] and instances [4] have been proposed to lower the…

数据库 · 计算机科学 2019-08-28 Antoine Amarilli , Mikaël Monet , Pierre Senellart

This paper studies sequential methods for recovery of sparse signals in high dimensions. When compared to fixed sample size procedures, in the sparse setting, sequential methods can result in a large reduction in the number of samples…

信息论 · 计算机科学 2014-10-07 Matthew L. Malloy , Robert Nowak

We present EntropyDB, an interactive data exploration system that uses a probabilistic approach to generate a small, query-able summary of a dataset. Departing from traditional summarization techniques, we use the Principle of Maximum…

数据库 · 计算机科学 2019-11-13 Laurel Orr , Magdalena Balazinska , Dan Suciu

System modeling is a classical approach to ensure their reliability since it is suitable both for a formal verification and for software testing techniques. In the context of model-based testing an approach combining random testing and…

软件工程 · 计算机科学 2018-06-14 Julien Bernard , Pierre-Cyrille Héam , Olga Kouchnarenko

We consider query-based data acquisition and the corresponding information recovery problem, where the goal is to recover $k$ binary variables (information bits) from parity measurements of those variables. The queries and the corresponding…

信息论 · 计算机科学 2018-01-03 Hye Won Chung , Ji Oon Lee , Alfred O. Hero

Adaptive sampling is a useful algorithmic tool for data summarization problems in the classical centralized setting, where the entire dataset is available to the single processor performing the computation. Adaptive sampling repeatedly…

数据结构与算法 · 计算机科学 2020-04-24 Sepideh Mahabadi , Ilya Razenshteyn , David P. Woodruff , Samson Zhou

When a planner must decide whether it has enough evidence to make a decision based on probability, it faces the sample size problem. Current planners using probabilities need not deal with this problem because they do not generate their…

人工智能 · 计算机科学 2013-03-26 Nathaniel G. Martin , James F. Allen

The problem of overdispersion in multivariate count data is a challenging issue. Nowadays, it covers a central role mainly due to the relevance of modern technologies data, such as Next Generation Sequencing and textual data from the web or…

统计方法学 · 统计学 2025-02-24 Noemi Corsini , Cinzia Viroli

In this paper, we present a model for generating summaries of text documents with respect to a query. This is known as query-based summarization. We adapt an existing dataset of news article summaries for the task and train a…

计算与语言 · 计算机科学 2017-12-19 Johan Hasselqvist , Niklas Helmertz , Mikael Kågebäck

We consider the problem of repetitive scenario design where one has to solve repeatedly a scenario design problem and can adjust the sample size (number of scenarios) to obtain a desired level of risk (constraint violation probability). We…

最优化与控制 · 数学 2025-09-08 Guillaume O. Berger , Raphaël M. Jungers

The choice of the parameter value for regularized inverse problems is critical to the results and remains a topic of interest. This article explores a criterion for selecting a good parameter value by maximizing the probability of the data,…

数值分析 · 数学 2020-02-11 Toby Sanders , Rodrigo B. Platte , Robert D. Skeel

Large-scale data analysis poses both statistical and computational problems which need to be addressed simultaneously. A solution is often straightforward if the data are homogeneous: one can use classical ideas of subsampling and mean…

统计方法学 · 统计学 2014-09-10 Peter Bühlmann , Nicolai Meinshausen

Quantile aggregation with dependence uncertainty has a long history in probability theory with wide applications in finance, risk management, statistics, and operations research. Using a recent result on inf-convolution of quantile-based…

风险管理 · 定量金融 2024-09-09 Jose Blanchet , Henry Lam , Yang Liu , Ruodu Wang

Recent advances in large language models (LLMs) have led to new summarization strategies, offering an extensive toolkit for extracting important information. However, these approaches are frequently limited by their reliance on isolated…

人工智能 · 计算机科学 2024-06-21 Pranav Janjani , Mayank Palan , Sarvesh Shirude , Ninad Shegokar , Sunny Kumar , Faruk Kazi

Solving the generalized eigenvalue problem is a useful method for finding energy eigenstates of large quantum systems. It uses projection onto a set of basis states which are typically not orthogonal. One needs to invert a matrix whose…

核理论 · 物理学 2023-04-05 Caleb Hicks , Dean Lee

This work unifies the analysis of various randomized methods for solving linear and nonlinear inverse problems by framing the problem in a stochastic optimization setting. By doing so, we show that many randomized methods are variants of a…

数值分析 · 数学 2023-06-21 Jonathan Wittmer , C. G. Krishnanunni , Hai V. Nguyen , Tan Bui-Thanh

Range reporting is a classical problem in computational geometry. A (rectangular) reporting data structure stores a point set $P$, such that, given a (rectangular) query region $\Delta$, it returns all points in $P \cap \Delta$. A variety…

计算几何 · 计算机科学 2025-12-05 Sarita de Berg , Emil Toftegaard Gæde , Ivor van der Hoog , Henrik Reinstädtler , Eva Rotenberg