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We analyze to what extent the random SAT and Max-SAT problems differ in their properties. Our findings suggest that for random $k$-CNF with ratio in a certain range, Max-SAT can be solved by any SAT algorithm with subexponential slowdown,…

人工智能 · 计算机科学 2018-11-05 Sixue Liu , Gerard de Melo

This paper develops a new exponential forgetting algorithm that can prevent so-called the estimator windup problem, while retaining fast convergence speed. To investigate the properties of the proposed forgetting algorithm, boundedness of…

系统与控制 · 电气工程与系统科学 2020-04-09 Hyo-Sang Shin , Hae-In Lee

In this paper, we propose a successive pseudo-convex approximation algorithm to efficiently compute stationary points for a large class of possibly nonconvex optimization problems. The stationary points are obtained by solving a sequence of…

最优化与控制 · 数学 2018-12-17 Yang Yang , Marius Pesavento

We consider the problem of improving the efficiency of randomized Fourier feature maps to accelerate training and testing speed of kernel methods on large datasets. These approximate feature maps arise as Monte Carlo approximations to…

机器学习 · 统计学 2015-08-11 Haim Avron , Vikas Sindhwani , Jiyan Yang , Michael Mahoney

We propose an efficient online approximate Bayesian inference algorithm for estimating the parameters of a nonlinear function from a potentially non-stationary data stream. The method is based on the extended Kalman filter (EKF), but uses a…

Factors models are routinely used to analyze high-dimensional data in both single-study and multi-study settings. Bayesian inference for such models relies on Markov Chain Monte Carlo (MCMC) methods which scale poorly as the number of…

统计方法学 · 统计学 2025-04-29 Blake Hansen , Alejandra Avalos-Pacheco , Massimiliano Russo , Roberta De Vito

We suppose we are given a list of points $x_1, \dots, x_n \in \mathbb{R}$, a target probability measure $\mu$ and are asked to add additional points $x_{n+1}, \dots, x_{n+m}$ so that $x_1, \dots, x_{n+m}$ is as close as possible to the…

最优化与控制 · 数学 2025-10-14 François Clément , Stefan Steinerberger

A novel fast algorithm for finding quasi identifiers in large datasets is presented. Performance measurements on a broad range of datasets demonstrate substantial reductions in run-time relative to the state of the art and the scalability…

数据库 · 计算机科学 2014-10-17 Kostyantyn Demchuk , Douglas J. Leith

Weighted Hamming distance, as a similarity measure between binary codes and binary queries, provides superior accuracy in search tasks than Hamming distance. However, how to efficiently and accurately find $K$ binary codes that have the…

计算机视觉与模式识别 · 计算机科学 2021-08-11 Zhenyu Weng , Yuesheng Zhu , Ruixin Liu

Finding a low-weight multiple (LWPM) of a given polynomial is very useful in the cryptanalysis of stream ciphers and arithmetic in finite fields. There is no known deterministic polynomial time complexity algorithm for solving this problem,…

计算复杂性 · 计算机科学 2024-10-15 Ferucio Laurenţiu Ţiplea , Simona-Maria Lăzărescu

We propose a novel distributed random access scheme for wireless networks based on slotted ALOHA, motivated by the analogies between successive interference cancellation and iterative belief-propagation decoding on erasure channels. The…

信息论 · 计算机科学 2016-11-15 Cedomir Stefanovic , Petar Popovski , Dejan Vukobratovic

In modal analysis, the prevalent use of Gaussian-based wavelets (such as Morlet and Gabor) for damping estimation is rarely questioned. In this study, we challenge this conventional approach by systematically exploring envelope-based…

信号处理 · 电气工程与系统科学 2025-12-17 Hadi M. Daniali , Martin v. Mohrenschildt

Let us assume that $f$ is a continuous function defined on the unit ball of $\mathbb R^d$, of the form $f(x) = g (A x)$, where $A$ is a $k \times d$ matrix and $g$ is a function of $k$ variables for $k \ll d$. We are given a budget $m \in…

数值分析 · 数学 2012-01-18 Massimo Fornasier , Karin Schnass , Jan Vybiral

UNet [27] is widely used in semantic segmentation due to its simplicity and effectiveness. However, its manually-designed architecture is applied to a large number of problem settings, either with no architecture optimizations, or with…

机器学习 · 计算机科学 2022-07-14 Zifu Wang , Matthew B. Blaschko

Keyword-based search in text-rich multi-dimensional datasets facilitates many novel applications and tools. In this paper, we consider objects that are tagged with keywords and are embedded in a vector space. For these datasets, we study…

数据库 · 计算机科学 2014-09-16 Vishwakarma Singh , Ambuj K. Singh

Waveform sampling systems are used pervasively in the design of front end electronics for radiation detection. The introduction of new feature extraction algorithms (eg. neural networks) to waveform sampling has the great potential to…

数据分析、统计与概率 · 物理学 2021-09-23 Pengcheng Ai , Zhi Deng , Yi Wang , Linmao Li

We propose extensions and improvements of the statistical analysis of distributed multipoles (SADM) algorithm put forth by Chipot et al. in [6] for the derivation of distributed atomic multipoles from the quantum-mechanical electrostatic…

数值分析 · 数学 2010-07-28 Nicolas Champagnat , Christophe Chipot , Erwan Faou

There has recently been considerable interest in completing a low-rank matrix or tensor given only a small fraction (or few linear combinations) of its entries. Related approaches have found considerable success in the area of recommender…

机器学习 · 计算机科学 2017-02-20 Nikos Kargas , Nicholas D. Sidiropoulos

In the Wireless Localization Matching Problem (WLMP) the challenge is to match pieces of equipment with a set of candidate locations based on wireless signal measurements taken by the pieces of equipment. This challenge is complicated by…

信号处理 · 电气工程与系统科学 2019-08-15 Amin Ghafourian , Orestis Georgiou , Edmund Barter , Thilo Gross

We study the problem of list-decodable sparse mean estimation. Specifically, for a parameter $\alpha \in (0, 1/2)$, we are given $m$ points in $\mathbb{R}^n$, $\lfloor \alpha m \rfloor$ of which are i.i.d. samples from a distribution $D$…

数据结构与算法 · 计算机科学 2024-07-08 Ilias Diakonikolas , Daniel M. Kane , Sushrut Karmalkar , Ankit Pensia , Thanasis Pittas