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To efficiently express tensor data using the Tucker format, a critical task is to minimize the multilinear rank such that the model would not be over-flexible and lead to overfitting. Due to the lack of rank minimization tools in tensor,…

Signal Processing · Electrical Eng. & Systems 2024-09-11 Xueke Tong , Hancheng Zhu , Lei Cheng , Yik-Chung Wu

Abu Radi and Kupferman (2019) demonstrated the efficient minimization of history-deterministic (transition-based) co-B\"uchi automata, building on the results of Kuperberg and Skrzypczak (2015). We give a congruence-based description of…

Formal Languages and Automata Theory · Computer Science 2026-01-29 Christof Löding , Igor Walukiewicz

Despite Retrieval-Augmented Generation (RAG) showing promising capability in leveraging external knowledge, a comprehensive evaluation of RAG systems is still challenging due to the modular nature of RAG, evaluation of long-form responses…

We introduce homing vector automata, which are finite automata augmented by a vector that is multiplied at each step by a matrix determined by the current transition, and have to return the vector to its original setting in order to accept…

Formal Languages and Automata Theory · Computer Science 2017-08-01 Özlem Salehi , A. C. Cem Say , Flavio D'Alessandro

A central question in the theory of automata is which classes of automata can be minimized in polynomial time. We close the remaining gaps for deterministic and history-deterministic automata over infinite words by proving that…

Formal Languages and Automata Theory · Computer Science 2025-04-30 Bader Abu Radi , Rüdiger Ehlers

In this paper we study the low rank matrix completion problem using tools from Schur complement. We give a sufficient and necessary condition such that the completed matrix is globally unique with given data. We assume the observed entries…

Optimization and Control · Mathematics 2022-07-01 Fei Wang

To alleviate the bias generated by the l1-norm in the low-rank tensor completion problem, nonconvex surrogates/regularizers have been suggested to replace the tensor nuclear norm, although both can achieve sparsity. However, the…

Machine Learning · Computer Science 2023-10-11 Zhi-Yong Wang , Hing Cheung So , Abdelhak M. Zoubir

In this paper, we introduce Ranger - a toolkit to facilitate the easy use of effect-size-based meta-analysis for multi-task evaluation in NLP and IR. We observed that our communities often face the challenge of aggregating results over…

Computation and Language · Computer Science 2023-05-25 Mete Sertkan , Sophia Althammer , Sebastian Hofstätter

While many applications of automata in formal methods can use nondeterministic automata, some applications, most notably synthesis, need deterministic or good-for-games (GFG) automata. The latter are nondeterministic automata that can…

Logic in Computer Science · Computer Science 2023-06-22 Bader Abu Radi , Orna Kupferman

This thesis is focused on techniques for finite automata and their use in practice, with the main emphasis on nondeterministic tree automata. This concerns namely techniques for size reduction and language inclusion testing, which are two…

Formal Languages and Automata Theory · Computer Science 2017-06-13 Lukáš Holík

A random matrix is likely to be well conditioned, and motivated by this well known property we employ random matrix multipliers to advance some fundamental matrix computations. This includes numerical stabilization of Gaussian elimination…

Numerical Analysis · Mathematics 2012-12-27 Victor Y. Pan , Guoliang Qian

We introduce a novel approach to the automated termination analysis of computer programs: we use neural networks to represent ranking functions. Ranking functions map program states to values that are bounded from below and decrease as a…

Machine Learning · Computer Science 2022-09-07 Mirco Giacobbe , Daniel Kroening , Julian Parsert

Retrieval-Augmented Generation (RAG) architectures have recently garnered significant attention for their ability to improve truth grounding and coherence in natural language processing tasks. However, the reliability of RAG systems in…

Computation and Language · Computer Science 2024-12-04 Joel Suro

Soft growing robots are novel devices that mimic plant-like growth for navigation in cluttered or dangerous environments. Their ability to adapt to surroundings, combined with advancements in actuation and manufacturing technologies, allows…

Robotics · Computer Science 2025-01-24 Ahmet Astar , Ozan Nurcan , Erk Demirel , Emir Ozen , Ozan Kutlar , Fabio Stroppa

In this paper, we focus on the design and verification of timed automata (TA). We introduce a new method for assisting construction and verification of TA models along with a tool implementing the proposed method, i.e., ATAC: Automated…

Formal Languages and Automata Theory · Computer Science 2020-07-03 Beyazit Yalcinkaya , Ebru Aydin Gol

Low-rank matrix completion consists of computing a matrix of minimal complexity that recovers a given set of observations as accurately as possible. Unfortunately, existing methods for matrix completion are heuristics that, while highly…

Machine Learning · Computer Science 2026-03-12 Dimitris Bertsimas , Ryan Cory-Wright , Sean Lo , Jean Pauphilet

In an effort to overcome the limitations of random spin-glass benchmarks for quantum annealers, focus has shifted to carefully-crafted gadget-based problems whose logical structure has typically a planar topology. Recent experiments on…

Quantum Physics · Physics 2017-07-24 Salvatore Mandrà , Helmut G. Katzgraber , Creighton Thomas

We revisit here congruence relations for B\"uchi automata, which play a central role in the automata-based verification. The size of the classical congruence relation is in $3^{\mathcal{O}(n^2)}$, where $n$ is the number of states of a…

Formal Languages and Automata Theory · Computer Science 2021-05-12 Yong Li , Yih-Kuen Tsay , Andrea Turrini , Moshe Y. Vardi , Lijun Zhang

Recent work has shown that inducing a large language model (LLM) to generate explanations prior to outputting an answer is an effective strategy to improve performance on a wide range of reasoning tasks. In this work, we show that neural…

Computation and Language · Computer Science 2023-06-06 Fernando Ferraretto , Thiago Laitz , Roberto Lotufo , Rodrigo Nogueira

Machine learning practitioners often compare the results of different classifiers to help select, diagnose and tune models. We present Boxer, a system to enable such comparison. Our system facilitates interactive exploration of the…

Human-Computer Interaction · Computer Science 2020-04-20 Michael Gleicher , Aditya Barve , Xinyi Yu , Florian Heimerl
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