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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…

Data Structures and Algorithms · Computer Science 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…

Machine Learning · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Numerical Analysis · Mathematics 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…

Machine Learning · Statistics 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…

Computation and Language · Computer Science 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…

Databases · Computer Science 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}…

Machine Learning · Computer Science 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…

Information Theory · Computer Science 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…

Computation and Language · Computer Science 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…

Numerical Analysis · Mathematics 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…

Quantum Physics · Physics 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…

Computation and Language · Computer Science 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…

Networking and Internet Architecture · Computer Science 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…

Computation and Language · Computer Science 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…

Computational Complexity · Computer Science 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…

Computation and Language · Computer Science 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…

Computation and Language · Computer Science 2022-11-16 Qin Zhang , Shangsi Chen , Dongkuan Xu , Qingqing Cao , Xiaojun Chen , Trevor Cohn , Meng Fang
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