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Low-rank approximation is a common tool used to accelerate kernel methods: the $n \times n$ kernel matrix $K$ is approximated via a rank-$k$ matrix $\tilde K$ which can be stored in much less space and processed more quickly. In this work…

数据结构与算法 · 计算机科学 2017-11-07 Cameron Musco , David P. Woodruff

In this paper, we introduce and apply Operations Research Question Answering (ORQA), a new benchmark designed to assess the generalization capabilities of Large Language Models (LLMs) in the specialized technical domain of Operations…

Clinical question answering systems have the potential to provide clinicians with relevant and timely answers to their questions. Nonetheless, despite the advances that have been made, adoption of these systems in clinical settings has been…

Post-training quantization of Large Language Models (LLMs) is challenging. In this work, we introduce Low-rank Quantization Error Reduction (LQER), which combines quantization and low-rank approximation to recover the model capability. LQER…

机器学习 · 计算机科学 2024-05-31 Cheng Zhang , Jianyi Cheng , George A. Constantinides , Yiren Zhao

Longest common subsequence (LCS) is one of the most fundamental problems in combinatorial optimization. Apart from theoretical importance, LCS has enormous applications in bioinformatics, revision control systems, and data comparison…

数据结构与算法 · 计算机科学 2020-03-17 MohammadTaghi Hajiaghayi , Masoud Seddighin , Saeed Seddighin , Xiaorui Sun

In our work, we consider the linear least squares problem for $m\times n$-systems of linear equations $Ax = b$, $m\geq n$, such that the matrix $A$ and right-hand side vector $b$ can vary within an interval $m\times n$-matrix and an…

数值分析 · 数学 2020-01-22 Sergey P. Shary , Behnam Moradi

Low-rank matrix completion concerns the problem of estimating unobserved entries in a matrix using a sparse set of observed entries. We consider the non-uniform setting where the observed entries are sampled with highly varying…

机器学习 · 统计学 2024-03-04 Xumei Xi , Christina Lee Yu , Yudong Chen

A persistent challenge to table question answering (TableQA) by generating executable programs has been adapting to varied table structures, typically requiring domain-specific logical forms. In response, this paper introduces a unified…

计算与语言 · 计算机科学 2025-03-13 Yihan Cao , Shuyi Chen , Ryan Liu , Zhiruo Wang , Daniel Fried

Operational consistent query answering (CQA) is a recent framework for CQA based on revised definitions of repairs, which are built by applying a sequence of operations (e.g., fact deletions) starting from an inconsistent database until we…

数据库 · 计算机科学 2023-12-14 Marco Calautti , Ester Livshits , Andreas Pieris , Markus Schneider

We prove a \emph{query complexity} lower bound on rank-one principal component analysis (PCA). We consider an oracle model where, given a symmetric matrix $M \in \mathbb{R}^{d \times d}$, an algorithm is allowed to make $T$ \emph{exact}…

机器学习 · 计算机科学 2017-04-18 Max Simchowitz , Ahmed El Alaoui , Benjamin Recht

The idea that many important classes of signals can be well-represented by linear combinations of a small set of atoms selected from a given dictionary has had dramatic impact on the theory and practice of signal processing. For practical…

信息论 · 计算机科学 2015-03-18 Quan Geng , Huan Wang , John Wright

Question answering over knowledge bases (KBQA) aims to answer factoid questions with a given knowledge base (KB). Due to the large scale of KB, annotated data is impossible to cover all fact schemas in KB, which poses a challenge to the…

计算与语言 · 计算机科学 2023-05-24 Chuanyuan Tan , Yuehe Chen , Wenbiao Shao , Wenliang Chen

Low Rank Approximation is among most fundamental subjects of numerical linear algebra having important applications to various areas of modern computing and %they range from machine learning theory and %neural networks to data mining and…

数值分析 · 数学 2018-09-25 Victor Y. Pan , Qi Luan , John Svadlenka , Liang Zhao

In computer science, many search problems are reducible to decision problems, which implies that finding a solution is as hard as deciding whether a solution exists. A quantum analogue of search-to-decision reductions would be to ask…

量子物理 · 物理学 2025-02-05 Jordi Weggemans

Question answering (QA), giving correct answers to questions, is a popular task, but we test reverse question answering (RQA): for an input answer, give a question with that answer. Past work tests QA and RQA separately, but we test them…

计算与语言 · 计算机科学 2025-02-13 Nishant Balepur , Feng Gu , Abhilasha Ravichander , Shi Feng , Jordan Boyd-Graber , Rachel Rudinger

Several Radio Resource Management (RRM) use cases can be framed as sequential decision planning problems, where an agent (the base station, typically) makes decisions that influence the network utility and state. While Reinforcement…

网络与互联网体系结构 · 计算机科学 2024-05-31 Lorenzo Maggi , Matthew Andrews , Ryo Koblitz

Table Question Answering (TQA) aims to answer natural language questions about tabular data, often accompanied by additional contexts such as text passages. The task spans diverse settings, varying in table representation, question/answer…

计算与语言 · 计算机科学 2026-04-21 Wei Zhou , Bolei Ma , Annemarie Friedrich , Mohsen Mesgar

We study an approximate version of $q$-query LDCs (Locally Decodable Codes) over the real numbers and prove lower bounds on the encoding length of such codes. A $q$-query $(\alpha,\delta)$-approximate LDC is a set $V$ of $n$ points in…

计算复杂性 · 计算机科学 2014-02-28 Jop Briët , Zeev Dvir , Guangda Hu , Shubhangi Saraf

Retrieval-augmented generation (RAG) has become a key paradigm for knowledge-intensive question answering. However, existing multi-hop RAG systems remain inefficient, as they alternate between retrieval and reasoning at each step, resulting…

计算与语言 · 计算机科学 2026-02-06 Hao Yang , Zhiyu Yang , Xupeng Zhang , Wei Wei , Yunjie Zhang , Lin Yang

Open domain question answering (ODQA) is a longstanding task aimed at answering factual questions from a large knowledge corpus without any explicit evidence in natural language processing (NLP). Recent works have predominantly focused on…

计算与语言 · 计算机科学 2022-11-16 Qin Zhang , Shangsi Chen , Dongkuan Xu , Qingqing Cao , Xiaojun Chen , Trevor Cohn , Meng Fang