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Numerous confluence criteria for plain term rewrite systems are known. For logically constrained rewrite system, an attractive extension of term rewriting in which rules are equipped with logical constraints, much less is known. In this…

Logic in Computer Science · Computer Science 2024-11-12 Jonas Schöpf , Aart Middeldorp

The method of constrained Hamiltonian systems can be used to reduce Fock modules. It is applied to the Virasoro algebra, where a possibly new realization is found.

Mathematical Physics · Physics 2007-05-23 T. A. Larsson

We study grammar induction with mildly context-sensitive grammars for unsupervised discontinuous parsing. Using the probabilistic linear context-free rewriting system (LCFRS) formalism, our approach fixes the rule structure in advance and…

Computation and Language · Computer Science 2023-06-12 Songlin Yang , Roger P. Levy , Yoon Kim

In the dependency pair framework for proving termination of rewriting systems, polynomial interpretations are used to transform dependency chains into bounded decreasing sequences of integers, and they play an important role for the success…

Logic in Computer Science · Computer Science 2018-02-20 Tomohiro Sasano , Naoki Nishida , Masahiko Sakai , Tomoya Ueyama

Sparse reconstruction approaches using the re-weighted l1-penalty have been shown, both empirically and theoretically, to provide a significant improvement in recovering sparse signals in comparison to the l1-relaxation. However, numerical…

Machine Learning · Statistics 2013-12-06 Dmitry Malioutov , Aleksandr Aravkin

This paper proposes an efficient algorithm (HOLRR) to handle regression tasks where the outputs have a tensor structure. We formulate the regression problem as the minimization of a least square criterion under a multilinear rank…

Machine Learning · Computer Science 2016-02-23 Guillaume Rabusseau , Hachem Kadri

In recent years they have been numerous works that aim to automate relational verification. Meanwhile, although Constrained Horn Clauses (CHCs) empower a wide range of verification techniques and tools, they lack the ability to express…

Programming Languages · Computer Science 2021-06-07 Hiroshi Unno , Tachio Terauchi , Eric Koskinen

This paper presents a novel model order reduction technique tailored for power systems with a large share of inverter-based energy resources. Such systems exhibit an increased level of dynamic stiffness compared to traditional power…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Simon Muntwiler , Ognjen Stanojev , Andrea Zanelli , Gabriela Hug , Melanie N. Zeilinger

Large reasoning models (LRMs) have demonstrated strong performance on complex reasoning tasks, but often suffer from overthinking, generating redundant content regardless of task difficulty. Inspired by the dual process theory in cognitive…

Artificial Intelligence · Computer Science 2025-05-26 Xiaoxue Cheng , Junyi Li , Zhenduo Zhang , Xinyu Tang , Wayne Xin Zhao , Xinyu Kong , Zhiqiang Zhang

The classic Resource Constrained Shortest Path (RCSP) problem aims to find a cost optimal path between a pair of nodes in a network such that the resources used in the path are within a given limit. Having been studied for over a decade,…

Artificial Intelligence · Computer Science 2025-04-17 Saman Ahmadi , Andrea Raith , Guido Tack , Mahdi Jalili

We investigate a new method to augment recurrent neural networks with extra memory without increasing the number of network parameters. The system has an associative memory based on complex-valued vectors and is closely related to…

Neural and Evolutionary Computing · Computer Science 2016-05-20 Ivo Danihelka , Greg Wayne , Benigno Uria , Nal Kalchbrenner , Alex Graves

We present a generic compact computational framework relying on structured random matrices that can be applied to speed up several machine learning algorithms with almost no loss of accuracy. The applications include new fast LSH-based…

Machine Learning · Computer Science 2016-06-07 Krzysztof Choromanski , Francois Fagan , Cedric Gouy-Pailler , Anne Morvan , Tamas Sarlos , Jamal Atif

Monotonic semantic path orders and weighted path orders are powerful reduction orders for proving termination of term rewrite systems. In this paper we present their simple unification as reduction orders and reduction pairs. We also…

Logic in Computer Science · Computer Science 2026-05-29 Teppei Saito , Nao Hirokawa

An iterative method LSMR is presented for solving linear systems $Ax=b$ and least-squares problem $\min \norm{Ax-b}_2$, with $A$ being sparse or a fast linear operator. LSMR is based on the Golub-Kahan bidiagonalization process. It is…

Mathematical Software · Computer Science 2012-01-25 David Fong , Michael Saunders

This paper considers quasi-reductivity - essentially, the property that an evaluation cannot get "stuck" due to a missing case in pattern matching - in the context of term rewriting with logical constraints.

Logic in Computer Science · Computer Science 2017-02-27 Cynthia Kop

Tree-structured LSTM is promising way to consider long-distance interaction over hierarchies. However, there have been few research efforts on the hyperparameter tuning of the construction and traversal of tree-structured LSTM. To name a…

Machine Learning · Computer Science 2020-08-24 Ruo Ando , Yoshiyasu Takefuji

We study sufficient conditions for stability and recurrence in a class of singularly perturbed stochastic hybrid dynamical systems. The systems considered combine multi-time-scale deterministic continuous-time dynamics, modeled by…

Optimization and Control · Mathematics 2025-12-30 Jorge I. Poveda , Mahmoud Abdelgalil

Constrained codes are used to prevent errors from occurring in various data storage and data transmission systems. They can help in increasing the storage density of magnetic storage devices, in managing the lifetime of electronic storage…

Information Theory · Computer Science 2022-09-07 Ahmed Hareedy , Beyza Dabak , Robert Calderbank

This paper studies the complexity of distributed construction of purely additive spanners in the CONGEST model. We describe algorithms for building such spanners in several cases. Because of the need to simultaneously make decisions at far…

Data Structures and Algorithms · Computer Science 2016-07-20 Keren Censor-Hillel , Telikepalli Kavitha , Ami Paz , Amir Yehudayoff

Fence instructions are fundamental primitives that ensure consistency in a weakly consistent shared memory multi-core processor. The execution cost of these instructions is significant and adds a non-trivial overhead to parallel programs.…

Hardware Architecture · Computer Science 2017-12-07 Pranith Kumar , Prasun Gera , Hyojong Kim , Hyesoon Kim