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The paper discusses the limitations of deep learning models in identifying and utilizing features that remain invariant under a bijective transformation on the data entries, which we refer to as combinatorial patterns. We argue that the…

Machine Learning · Computer Science 2023-03-30 Karen Sargsyan

In the stable marriage and roommates problems, a set of agents is given, each of them having a strictly ordered preference list over some or all of the other agents. A matching is a set of disjoint pairs of mutually accepted agents. If any…

Discrete Mathematics · Computer Science 2016-06-01 Ágnes Cseh , David F. Manlove

Most state-of-the-art models in natural language processing (NLP) are neural models built on top of large, pre-trained, contextual language models that generate representations of words in context and are fine-tuned for the task at hand.…

Computation and Language · Computer Science 2020-10-13 Brian Lester , Daniel Pressel , Amy Hemmeter , Sagnik Ray Choudhury , Srinivas Bangalore

Even the fastest SMT solvers have performance problems with regular expressions from real programs. Because these performance issues often arise from the problem representation (e.g. non-deterministic finite automata get determinized and…

Logic in Computer Science · Computer Science 2017-08-31 Arlen Cox , Jason Leasure

We consider the problem of finding a maximum popular matching in a many-to-many matching setting with two-sided preferences and matroid constraints. This problem was proposed by Kamiyama (2020) and solved in the special case where matroids…

Computer Science and Game Theory · Computer Science 2023-06-22 Gergely Csáji , Tamás Király , Yu Yokoi

Lately, there is a growing interest in dynamic string matching problems. Specifically, the dynamic Longest Common Factor problem has been researched and some interesting results has been reached. In this paper we examine another classic…

Data Structures and Algorithms · Computer Science 2019-06-25 Amihood Amir , Itai Boneh

Verifying the robustness of machine learning models against evasion attacks at test time is an important research problem. Unfortunately, prior work established that this problem is NP-hard for decision tree ensembles, hence bound to be…

Machine Learning · Computer Science 2023-11-14 Stefano Calzavara , Lorenzo Cazzaro , Giulio Ermanno Pibiri , Nicola Prezza

This chapter compiles a number of results that apply the theory of parameterized algorithmics to the running-time analysis of randomized search heuristics such as evolutionary algorithms. The parameterized approach articulates the running…

Neural and Evolutionary Computing · Computer Science 2020-01-16 Frank Neumann , Andrew M. Sutton

In this paper we extend recent results of Fiorini et al. on the extension complexity of the cut polytope and related polyhedra. We first describe a lifting argument to show exponential extension complexity for a number of NP-complete…

Combinatorics · Mathematics 2013-04-30 David Avis , Hans Raj Tiwary

Here we study the computational complexity of the constrained synchronization problem for the class of regular commutative constraint languages. Utilizing a vector representation of regular commutative constraint languages, we give a full…

Formal Languages and Automata Theory · Computer Science 2020-09-04 Stefan Hoffmann

We study the complexity of computational problems arising from existence theorems in extremal combinatorics. For some of these problems, a solution is guaranteed to exist based on an iterated application of the Pigeonhole Principle. This…

Computational Complexity · Computer Science 2022-09-19 Amol Pasarkar , Mihalis Yannakakis , Christos Papadimitriou

We present an algorithm for searching regular expression matches in compressed text. The algorithm reports the number of matching lines in the uncompressed text in time linear in the size of its compressed version. We define efficient data…

Formal Languages and Automata Theory · Computer Science 2019-01-17 Pierre Ganty , Pedro Valero

As neural machine translation (NMT) is not easily amenable to explicit correction of errors, incorporating pre-specified translations into NMT is widely regarded as a non-trivial challenge. In this paper, we propose and explore three…

Computation and Language · Computer Science 2019-12-03 Tao Wang , Shaohui Kuang , Deyi Xiong , António Branco

The problem of verifying multi-threaded execution against the memory consistency model of a processor is known to be an NP hard problem. However polynomial time algorithms exist that detect almost all failures in such execution. These are…

Hardware Architecture · Computer Science 2007-05-23 Amitabha Roy , Stephan Zeisset , Charles J. Fleckenstein , John C. Huang

Machine-translated text plays an important role in modern life by smoothing communication from various communities using different languages. However, unnatural translation may lead to misunderstanding, a detector is thus needed to avoid…

Computation and Language · Computer Science 2019-04-25 Hoang-Quoc Nguyen-Son , Tran Phuong Thao , Seira Hidano , Shinsaku Kiyomoto

Multi-choice reading comprehension is a challenging task, which involves the matching between a passage and a question-answer pair. This paper proposes a new co-matching approach to this problem, which jointly models whether a passage can…

Computation and Language · Computer Science 2018-06-12 Shuohang Wang , Mo Yu , Shiyu Chang , Jing Jiang

All current investigations to analyze the derivational complexity of term rewrite systems are based on a single termination method, possibly preceded by transformations. However, the exclusive use of direct criteria is problematic due to…

Logic in Computer Science · Computer Science 2015-07-01 Harald Zankl , Martin Korp

Existing support for regular expressions in automated test generation or verification tools is lacking. Common aspects of regular expression engines found in mainstream programming languages, such as backreferences or greedy matching, are…

Programming Languages · Computer Science 2020-03-16 Blake Loring , Duncan Mitchell , Johannes Kinder

The classical pattern matching paradigm is that of seeking occurrences of one string - the pattern, in another - the text, where both strings are drawn from an alphabet set $\Sigma$. Assuming the text length is $n$ and the pattern length is…

Data Structures and Algorithms · Computer Science 2022-07-19 Ora Amir , Amihood Amir , Aviezri Fraenkel , David Sarne

We survey and unify recent results on the existence of accurate algorithms for evaluating multivariate polynomials, and more generally for accurate numerical linear algebra with structured matrices. By "accurate" we mean that the computed…

Numerical Analysis · Mathematics 2008-05-21 James Demmel , Ioana Dumitriu , Olga Holtz , Plamen Koev
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