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A large literature specifies conditions under which the information complexity for a sequence of numerical problems defined for dimensions $1, 2, \ldots$ grows at a moderate rate, i.e., the sequence of problems is tractable. Here, we focus…

Numerical Analysis · Mathematics 2024-04-24 Onyekachi Emenike , Fred J. Hickernell , Peter Kritzer

In the XML community, exact queries allow users to specify exactly what they want to check and/or retrieve in an XML document. When they are applied to a semi-structured document or to a document with an overly complex model, the lack or…

Databases · Computer Science 2019-06-10 Maurice Tchoupé Tchendji , Lionel Tadonfouet , Thomas Tébougang Tchendji

Information extraction systems often produce hundreds to thousands of strings on a specific topic. We present a method that facilitates better consumption of these strings, in an exploratory setting in which a user wants to both get a broad…

Computation and Language · Computer Science 2023-09-20 Itay Yair , Hillel Taub-Tabib , Yoav Goldberg

In this paper, for the first time, we introduce the concept of skyblocking, which aims to efficiently identify the "most preferred" blocking scheme in terms of a given set of selection criteria for entity resolution blocking. To capture all…

Databases · Computer Science 2018-09-19 Jingyu Shao , Qing Wang , Yu Lin

In this work, we explore the use of operator splitting algorithms for solving regularized structural topology optimization problems. The context is the classical structural design problems (e.g., compliance minimization and compliant…

Optimization and Control · Mathematics 2013-07-22 Cameron Talischi , Glaucio H. Paulino

Unsupervised extractive document summarization aims to select important sentences from a document without using labeled summaries during training. Existing methods are mostly graph-based with sentences as nodes and edge weights measured by…

Computation and Language · Computer Science 2021-12-14 Shusheng Xu , Xingxing Zhang , Yi Wu , Furu Wei , Ming Zhou

The goal of video summarization is to automatically shorten videos such that it conveys the overall story without losing relevant information. In many application scenarios, improper video summarization can have a large impact. For example…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Jia-Hong Huang , Chao-Han Huck Yang , Pin-Yu Chen , Min-Hung Chen , Marcel Worring

This paper examines bilateral claims problems with lower and upper exclusion thresholds that determine whether an individual is excluded from initial gains or losses. We introduce the exclusion dilation operator, a method that transforms…

Theoretical Economics · Economics 2026-03-17 Aitor Calo-Blanco

Sweeping is a commonly used procedure to explicitly solve the discrete ordinates equation, which itself is a common approximation of the neutron transport equation. To sweep through the computational domain, an ordering of the spatial cells…

Numerical Analysis · Mathematics 2018-06-22 Thomas Camminady , Martin Frank

Presentation slides describing the content of scientific and technical papers are an efficient and effective way to present that work. However, manually generating presentation slides is labor intensive. We propose a method to automatically…

Computation and Language · Computer Science 2021-06-08 Athar Sefid , Jian Wu , Prasenjit Mitra , Lee Giles

This paper is devoted to the question of constructing a higher order Faber spline basis for the sampling discretization of functions with higher regularity than Lipschitz. The basis constructed in this paper has similar properties as the…

Functional Analysis · Mathematics 2020-07-08 Nadiia Derevianko , Tino Ullrich

We build a rigorous bridge between deep networks (DNs) and approximation theory via spline functions and operators. Our key result is that a large class of DNs can be written as a composition of max-affine spline operators (MASOs), which…

Machine Learning · Statistics 2018-11-13 Randall Balestriero , Richard Baraniuk

We develop a discrete extension operator for trimmed spline spaces consisting of piecewise polynomial functions of degree $p$ with $k$ continuous derivatives. The construction is based on polynomial extension from neighboring elements…

Numerical Analysis · Mathematics 2022-11-01 Erik Burman , Peter Hansbo , Mats G. Larson , Karl Larsson

Tree ensembles are very popular machine learning models, known for their effectiveness in supervised classification and regression tasks. Their performance derives from aggregating predictions of multiple decision trees, which are renowned…

Optimization and Control · Mathematics 2025-01-14 Lorenzo Bonasera , Emilio Carrizosa

This paper reviews a class of univariate piecewise polynomial functions known as discrete splines, which share properties analogous to the better-known class of spline functions, but where continuity in derivatives is replaced by (a…

Statistics Theory · Mathematics 2022-05-26 Ryan J. Tibshirani

In this paper, we explore statistical versus computational trade-off to address a basic question in the application of a distributed algorithm: what is the minimal computational cost in obtaining statistical optimality? In smoothing spline…

Statistics Theory · Mathematics 2017-07-25 Zuofeng Shang , Guang Cheng

Summarizing novel chapters is a difficult task due to the input length and the fact that sentences that appear in the desired summaries draw content from multiple places throughout the chapter. We present a pipelined extractive-abstractive…

Computation and Language · Computer Science 2022-11-10 Hardy Hardy , Miguel Ballesteros , Faisal Ladhak , Muhammad Khalifa , Vittorio Castelli , Kathleen McKeown

We present a new neural model for text summarization that first extracts sentences from a document and then compresses them. The proposed model offers a balance that sidesteps the difficulties in abstractive methods while generating more…

Information Retrieval · Computer Science 2019-04-08 Afonso Mendes , Shashi Narayan , Sebastião Miranda , Zita Marinho , André F. T. Martins , Shay B. Cohen

We present SLATE, a sequence labeling approach for extracting tasks from free-form content such as digitally handwritten (or "inked") notes on a virtual whiteboard. Our approach allows us to create a single, low-latency model to…

We extend the concept of exponential B-spline to complex orders. This extension contains as special cases the class of exponential splines and also the class of polynomial B-splines of complex order. We derive a time domain representation…

Functional Analysis · Mathematics 2013-11-04 Peter Massopust