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We define a lazy pattern-matching mechanism modulo associativity and commutativity. The solutions of a pattern-matching problem are stored in a lazy list composed of a first substitution at the head and a non-evaluated object that encodes…

Logic in Computer Science · Computer Science 2012-04-26 Walid Belkhir , Alain Giorgetti

Can we analyze data without decompressing it? As our data keeps growing, understanding the time complexity of problems on compressed inputs, rather than in convenient uncompressed forms, becomes more and more relevant. Suppose we are given…

Computational Complexity · Computer Science 2018-03-05 Amir Abboud , Arturs Backurs , Karl Bringmann , Marvin Künnemann

Neural network compression has been an increasingly important subject, not only due to its practical relevance, but also due to its theoretical implications, as there is an explicit connection between compressibility and generalization…

Machine Learning · Statistics 2024-02-13 Yijun Wan , Melih Barsbey , Abdellatif Zaidi , Umut Simsekli

We analyze how symmetries can be used to compress structures (also known as interpretations) onto a smaller domain without loss of information. This analysis suggests the possibility to solve satisfiability problems in the compressed domain…

Logic in Computer Science · Computer Science 2023-12-15 Pierre Carbonnelle , Gottfried Schenner , Maurice Bruynooghe , Bart Bogaerts , Marc Denecker

In recent studies, linear recurrent neural networks (LRNNs) have achieved Transformer-level performance in natural language and long-range modeling, while offering rapid parallel training and constant inference cost. With the resurgence of…

Computation and Language · Computer Science 2024-04-10 Ting-Han Fan , Ta-Chung Chi , Alexander I. Rudnicky

We introduce a generic presentation of 'syntactic objects built by mixed induction and coinduction' encompassing all standard kinds of infinitary terms, as well as derivation trees in non-wellfounded proof systems. We then define a notion…

Logic in Computer Science · Computer Science 2026-04-27 Rémy Cerda , Alexis Saurin

We study the approximate string matching and regular expression matching problem for the case when the text to be searched is compressed with the Ziv-Lempel adaptive dictionary compression schemes. We present a time-space trade-off that…

Data Structures and Algorithms · Computer Science 2007-05-23 Philip Bille , Rolf Fagerberg , Inge Li Goertz

A major challenge of semantic parsing is the vocabulary mismatch problem between natural language and target ontology. In this paper, we propose a sentence rewriting based semantic parsing method, which can effectively resolve the mismatch…

Computation and Language · Computer Science 2019-01-11 Bo Chen , Le Sun , Xianpei Han , Bo An

Rewriting is a common procedure in logic synthesis aimed at improving the performance, power, and area (PPA) of circuits. The traditional reconvergence-driven And-Inverter Graph (AIG) rewriting method focuses solely on optimizing the…

Artificial Intelligence · Computer Science 2023-12-25 Liwei Ni , Zonglin Yang , Jiaxi Zhang , Junfeng Liu , Huawei Li , Biwei Xie , Xinquan Li

We have seen significant improvements in machine translation due to the usage of deep learning. While the improvements in translation quality are impressive, the encoder-decoder architecture enables many more possibilities. In this paper,…

Computation and Language · Computer Science 2020-04-08 Jan Niehues

Motivated by mass-spectrometry protein sequencing, we consider a simply-stated problem of reconstructing a string from the multiset of its substring compositions. We show that all strings of length 7, one less than a prime, or one less than…

Discrete Mathematics · Computer Science 2014-03-12 Jayadev Acharya , Hirakendu Das , Olgica Milenkovic , Alon Orlitsky , Shengjun Pan

A seed in a word is a relaxed version of a period in which the occurrences of the repeating subword may overlap. We show a linear-time algorithm computing a linear-size representation of all the seeds of a word (the number of seeds might be…

Data Structures and Algorithms · Computer Science 2019-03-15 Tomasz Kociumaka , Marcin Kubica , Jakub Radoszewski , Wojciech Rytter , Tomasz Walen

Recurrent neural language models are the state-of-the-art models for language modeling. When the vocabulary size is large, the space taken to store the model parameters becomes the bottleneck for the use of recurrent neural language models.…

Computation and Language · Computer Science 2017-12-25 Zhongliang Li , Raymond Kulhanek , Shaojun Wang , Yunxin Zhao , Shuang Wu

We revisit tree compression with top trees (Bille et al, ICALP'13) and present several improvements to the compressor and its analysis. By significantly reducing the amount of information stored and guiding the compression step using a…

Data Structures and Algorithms · Computer Science 2015-06-16 Lorenz Hübschle-Schneider , Rajeev Raman

In this paper, we propose a dictionary screening method for embedding compression in text classification tasks. The key purpose of this method is to evaluate the importance of each keyword in the dictionary. To this end, we first train a…

Computation and Language · Computer Science 2022-11-24 Jing Zhou , Xinru Jing , Muyu Liu , Hansheng Wang

We present a methodology for proving termination of left-linear term rewriting systems (TRSs) by using Albert Burroni's polygraphs, a kind of rewriting systems on algebraic circuits. We translate the considered TRS into a polygraph of…

Logic in Computer Science · Computer Science 2007-05-23 Yves Guiraud

We introduce Associative Commutative Distributive Term Rewriting (ACDTR), a rewriting language for rewriting logical formulae. ACDTR extends AC term rewriting by adding distribution of conjunction over other operators. Conjunction is vital…

Programming Languages · Computer Science 2007-05-23 Gregory J. Duck , Peter J. Stuckey , Sebastian Brand

We show that if DTIME[2^O(n)] is not included in DSPACE[2^o(n)], then, for every set B in PSPACE/poly, all strings x in B of length n can be represented by a string compressed(x) of length at most log(|B^{=n}|)+O(log n), such that a…

Computational Complexity · Computer Science 2013-04-04 N. V. Vinodchandran , Marius Zimand

Time series account for a large proportion of the data stored in financial, medical and scientific databases. The efficient storage of time series is important in practical applications. In this paper, we propose a novel compression scheme…

Neural and Evolutionary Computing · Computer Science 2017-08-17 Daniel Hsu

Bidirectional Long Short-Term Memory Recurrent Neural Network (BLSTM-RNN) has been shown to be very effective for modeling and predicting sequential data, e.g. speech utterances or handwritten documents. In this study, we propose to use…

Computation and Language · Computer Science 2015-11-03 Peilu Wang , Yao Qian , Frank K. Soong , Lei He , Hai Zhao
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