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While the theory of operator approximation with any given accuracy is well elaborated, the theory of {best constrained} constructive operator approximation is still not so well developed. Despite increasing demands from applications this…

Optimization and Control · Mathematics 2018-11-09 Anatoli Torokhti , Pablo Soto-Quiros

Abstractive text summarization aims to shorten long text documents into a human readable form that contains the most important facts from the original document. However, the level of actual abstraction as measured by novel phrases that do…

Computation and Language · Computer Science 2018-08-27 Wojciech Kryściński , Romain Paulus , Caiming Xiong , Richard Socher

The goal of neural-symbolic computation is to integrate the connectionist and symbolist paradigms. Prior methods learn the neural-symbolic models using reinforcement learning (RL) approaches, which ignore the error propagation in the…

Machine Learning · Statistics 2020-07-29 Qing Li , Siyuan Huang , Yining Hong , Yixin Chen , Ying Nian Wu , Song-Chun Zhu

Quantum optimization methods use a continuous degree-of-freedom of quantum states to heuristically solve combinatorial problems, such as the MAX-CUT problem, which can be attributed to various NP-hard combinatorial problems. This paper…

Quantum Physics · Physics 2025-01-15 Ruho Kondo , Yuki Sato , Rudy Raymond , Naoki Yamamoto

This paper addresses the problem of video summarization. Given an input video, the goal is to select a subset of the frames to create a summary video that optimally captures the important information of the input video. With the large…

Computer Vision and Pattern Recognition · Computer Science 2018-09-03 Mrigank Rochan , Linwei Ye , Yang Wang

Abstractive text summarization is the task of compressing and rewriting a long document into a short summary while maintaining saliency, directed logical entailment, and non-redundancy. In this work, we address these three important aspects…

Computation and Language · Computer Science 2018-05-30 Ramakanth Pasunuru , Mohit Bansal

The quadratic assignment problem (QAP) is one of the most difficult combinatorial optimization problems. One of the most powerful and commonly used heuristics to obtain approximations to the optimal solution of the QAP is simulated…

Neural and Evolutionary Computing · Computer Science 2011-11-08 Gerald Paul

This paper offers a solution method that allows one to find exact values for a large class of convergent series of rational terms. Sums of this form arise often in problems dealing with Quantum Field Theory.

Mathematical Physics · Physics 2007-05-23 Costas Efthimiou

In a recently developed approximation technique for quantum field theory the standard one-loop result is used as a seed for a recursive formula that gives a sequence of improved Gaussian approximations for the generating functional. In this…

High Energy Physics - Theory · Physics 2011-08-09 Antun Balaz , Aleksandar Belic , Aleksandar Bogojevic

We present a probabilistic approach to generate a small, query-able summary of a dataset for interactive data exploration. Departing from traditional summarization techniques, we use the Principle of Maximum Entropy to generate a…

Databases · Computer Science 2017-05-25 Laurel Orr , Magda Balazinska , Dan Suciu

Sampling is ubiquitous in machine learning methodologies. Due to the growth of large datasets and model complexity, we want to learn and adapt the sampling process while training a representation. Towards achieving this grand goal, a…

Machine Learning · Computer Science 2022-12-14 Jason Xiaotian Dou , Alvin Qingkai Pan , Runxue Bao , Haiyi Harry Mao , Lei Luo , Zhi-Hong Mao

The task of automatic text summarization has gained a lot of traction due to the recent advancements in machine learning techniques. However, evaluating the quality of a generated summary remains to be an open problem. The literature has…

Computation and Language · Computer Science 2022-01-25 Raghav Jain , Vaibhav Mavi , Anubhav Jangra , Sriparna Saha

Automatic text summarization, the automated process of shortening a text while reserving the main ideas of the document(s), is a critical research area in natural language processing. The aim of this literature review is to survey the…

Computation and Language · Computer Science 2018-04-13 Yue Dong

Reliable evaluation of large language model (LLM)-generated summaries remains an open challenge, particularly across heterogeneous domains and document lengths. We conduct a comprehensive meta-evaluation of 14 automatic summarization…

Computation and Language · Computer Science 2026-04-29 Huyen Nguyen , Haoxuan Zhang , Yang Zhang , Junhua Ding , Haihua Chen

In this research work, we present a method to generate summaries of long scientific documents that uses the advantages of both extractive and abstractive approaches. Before producing a summary in an abstractive manner, we perform the…

Computation and Language · Computer Science 2020-06-15 Vladislav Tretyak , Denis Stepanov

The aim of this work is to show a brand-new way of making deterministic Quantum Computing (short QC), in the sense of Theory of Calculability, by meaning of unitary evolution. We start from the original Shor's Algorithm to explain how the…

Quantum Physics · Physics 2011-04-05 Luigi Cimmino

Retrieval-Augmented Generation (RAG) mitigates the hallucination problem of Large Language Models (LLMs) by incorporating external knowledge. Recursive summarization constructs a hierarchical summary tree by clustering text chunks,…

Computation and Language · Computer Science 2026-04-09 Guanran Luo , Zhongquan Jian , Wentao Qiu , Meihong Wang , Qingqiang Wu

In QCD sum-rule methods, the fundamental field-theoretical quantities are correlation functions of composite operators that serve as hadronic interpolating fields. One of the challenges of loop corrections to QCD correlation functions in…

High Energy Physics - Phenomenology · Physics 2023-01-04 T. de Oliveira , D. Harnett , A. Palameta , T. G. Steele

Automating the assessment of learner summaries provides a useful tool for assessing learner reading comprehension. We present a summarization task for evaluating non-native reading comprehension and propose three novel approaches to…

Computation and Language · Computer Science 2019-06-19 Menglin Xia , Ekaterina Kochmar , Ted Briscoe

MaxSAT, the optimization version of the well-known SAT problem, has attracted a lot of research interest in the last decade. Motivated by the many important applications and inspired by the success of modern SAT solvers, researchers have…

Logic in Computer Science · Computer Science 2021-07-14 Javier Larrosa , Emma Rollon
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