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Low-rank matrix completion consists of computing a matrix of minimal complexity that recovers a given set of observations as accurately as possible. Unfortunately, existing methods for matrix completion are heuristics that, while highly…

机器学习 · 计算机科学 2026-03-12 Dimitris Bertsimas , Ryan Cory-Wright , Sean Lo , Jean Pauphilet

We consider the problem of summarizing a multi set of elements in $\{1, 2, \ldots , n\}$ under the constraint that no element appears more than $\ell$ times. The goal is then to answer \emph{rank} queries --- given $i\in\{1, 2, \ldots ,…

数据结构与算法 · 计算机科学 2017-04-26 Ran Ben Basat

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

数值分析 · 数学 2016-06-07 Victor Y. Pan , Liang Zhao

Question answering is an effective method for obtaining information from knowledge bases (KB). In this paper, we propose the Neural-Symbolic Complex Question Answering (NS-CQA) model, a data-efficient reinforcement learning framework for…

计算与语言 · 计算机科学 2020-11-02 Yuncheng Hua , Yuan-Fang Li , Guilin Qi , Wei Wu , Jingyao Zhang , Daiqing Qi

Distributional assumptions have been shown to be necessary for the robust learnability of concept classes when considering the exact-in-the-ball robust risk and access to random examples by Gourdeau et al. (2019). In this paper, we study…

机器学习 · 计算机科学 2023-07-21 Pascale Gourdeau , Varun Kanade , Marta Kwiatkowska , James Worrell

Updating a linear least squares solution can be critical for near real-time signalprocessing applications. The Greville algorithm proposes a simple formula for updating the pseudoinverse of a matrix A $\in$ R nxm with rank r. In this paper,…

数学软件 · 计算机科学 2021-06-23 Ruben Staub , Stephan N. Steinmann

In this paper we study lower bounds for the fundamental problem of text indexing with mismatches and differences. In this problem we are given a long string of length $n$, the "text", and the task is to preprocess it into a data structure…

数据结构与算法 · 计算机科学 2018-12-24 Vincent Cohen-Addad , Laurent Feuilloley , Tatiana Starikovskaya

Multimodal large language models (MLLMs) have demonstrated great performance on visual question answering (VQA). When it comes to knowledge-based Visual Question Answering (KB-VQA), MLLMs may lack the specialized domain knowledge needed to…

计算机视觉与模式识别 · 计算机科学 2025-02-04 Weixi Weng , Jieming Zhu , Xiaojun Meng , Hao Zhang , Rui Zhang , Chun Yuan

Counting answers to a query is an operation supported by virtually all database management systems. In this paper we focus on counting answers over a Knowledge Base (KB), which may be viewed as a database enriched with background knowledge…

数据库 · 计算机科学 2020-07-20 Diego Calvanese , Julien Corman , Davide Lanti , Simon Razniewski

Retrieval-augmented Large Language Models (LLMs) have reshaped traditional query-answering systems, offering unparalleled user experiences. However, existing retrieval techniques often struggle to handle multi-modal query contexts. In this…

数据库 · 计算机科学 2024-07-08 Mengzhao Wang , Haotian Wu , Xiangyu Ke , Yunjun Gao , Xiaoliang Xu , Lu Chen

Computing accurate low rank approximations of large matrices is a fundamental data mining task. In many applications however the matrix contains sensitive information about individuals. In such case we would like to release a low rank…

数据结构与算法 · 计算机科学 2012-11-06 Moritz Hardt , Aaron Roth

Long-form question answering (LFQA) poses a challenge as it involves generating detailed answers in the form of paragraphs, which go beyond simple yes/no responses or short factual answers. While existing QA models excel in questions with…

计算与语言 · 计算机科学 2023-11-17 Pritom Saha Akash , Kashob Kumar Roy , Lucian Popa , Kevin Chen-Chuan Chang

Question answering (QA) can only make progress if we know if an answer is correct, but current answer correctness (AC) metrics struggle with verbose, free-form answers from large language models (LLMs). There are two challenges with current…

计算与语言 · 计算机科学 2024-10-15 Zongxia Li , Ishani Mondal , Yijun Liang , Huy Nghiem , Jordan Lee Boyd-Graber

While Small Language Models (SLMs) have demonstrated promising performance on an increasingly wide array of commonsense reasoning benchmarks, current evaluation practices rely almost exclusively on the accuracy of their final answers,…

计算与语言 · 计算机科学 2026-04-21 Francesco Maria Molfese , Luca Moroni , Ciro Porcaro , Simone Conia , Roberto Navigli

We study local computation algorithms (LCA) for maximum matching. An LCA does not return its output entirely, but reveals parts of it upon query. For matchings, each query is a vertex $v$; the LCA should return whether $v$ is matched -- and…

数据结构与算法 · 计算机科学 2023-11-17 Soheil Behnezhad , Mohammad Roghani , Aviad Rubinstein

We study the minimization problem for Conjunctive Regular Path Queries (CRPQs) and unions of CRPQs (UCRPQs). This is the problem of checking, given a query and a number $k$, whether the query is equivalent to one of size at most $k$. For…

数据库 · 计算机科学 2025-04-02 Diego Figueira , Rémi Morvan , Miguel Romero

For a text given in advance, the substring minimal suffix queries ask to determine the lexicographically minimal non-empty suffix of a substring specified by the location of its occurrence in the text. We develop a data structure answering…

数据结构与算法 · 计算机科学 2016-02-01 Tomasz Kociumaka

This paper describes a suite of algorithms for constructing low-rank approximations of an input matrix from a random linear image of the matrix, called a sketch. These methods can preserve structural properties of the input matrix, such as…

数值分析 · 计算机科学 2018-01-03 Joel A. Tropp , Alp Yurtsever , Madeleine Udell , Volkan Cevher

In the semialgebraic range searching problem, we are to preprocess $n$ points in $\mathbb{R}^d$ s.t. for any query range from a family of constant complexity semialgebraic sets, all the points intersecting the range can be reported or…

计算几何 · 计算机科学 2021-05-18 Peyman Afshani , Pingan Cheng

Low rank approximation is an important tool used in many applications of signal processing and machine learning. Recently, randomized sketching algorithms were proposed to effectively construct low rank approximations and obtain approximate…

信息论 · 计算机科学 2018-09-11 Shashanka Ubaru , Arya Mazumdar , Yousef Saad