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We relate the computational complexity of finite strings to universal representations of their underlying symmetries. First, Boolean functions are classified using the universal covering topologies of the circuits which enumerate them. A…

Information Theory · Computer Science 2011-09-20 John Scoville

The state complexity of the result of a regular operation is often positively correlated with the number of distinct transformations induced by letters in the minimal deterministic finite automaton of the input languages. That is, more…

Formal Languages and Automata Theory · Computer Science 2018-09-07 Sylvie Davies

An uncomplicated and easily handling prescription that converts the task of checking the unitarity of massive, topologically massive, models into a straightforward algebraic exercise, is developed. The algorithm is used to test the…

High Energy Physics - Theory · Physics 2009-11-11 Antonio Accioly , Marco Dias

Systems now exist which are able to compile unification grammars into language models that can be included in a speech recognizer, but it is so far unclear whether non-trivial linguistically principled grammars can be used for this purpose.…

Computation and Language · Computer Science 2007-05-23 Manny Rayner , Beth Ann Hockey , Frankie James , Elizabeth O. Bratt , Sharon Goldwater , Mark Gawron

Transition-based and graph-based dependency parsers have previously been shown to have complementary strengths and weaknesses: transition-based parsers exploit rich structural features but suffer from error propagation, while graph-based…

Computation and Language · Computer Science 2019-08-28 Artur Kulmizev , Miryam de Lhoneux , Johannes Gontrum , Elena Fano , Joakim Nivre

A generate and test algorithm is described which parses a surface form into one or more lexical entries using linearly ordered phonological rules. This algorithm avoids the exponential expansion of search space which a naive parsing…

cmp-lg · Computer Science 2008-02-03 Michael Maxwell

The predominant challenge in weakly supervised semantic parsing is that of spurious programs that evaluate to correct answers for the wrong reasons. Prior work uses elaborate search strategies to mitigate the prevalence of spurious…

Computation and Language · Computer Science 2021-07-14 Nitish Gupta , Sameer Singh , Matt Gardner

It is well known that sparse approximation problem is \textsf{NP}-hard under general dictionaries. Several algorithms have been devised and analyzed in the past decade under various assumptions on the \emph{coherence} $\mu$ of the…

Computational Complexity · Computer Science 2017-02-10 Ali Çivril

In large language model training, input documents are typically concatenated together and then split into sequences of equal length to avoid padding tokens. Despite its efficiency, the concatenation approach compromises data integrity -- it…

Computation and Language · Computer Science 2024-05-03 Hantian Ding , Zijian Wang , Giovanni Paolini , Varun Kumar , Anoop Deoras , Dan Roth , Stefano Soatto

Self-supervision based on the information extracted from large knowledge graphs has been shown to improve the generalization of language models, in zero-shot evaluation on various downstream language reasoning tasks. Since these…

Computation and Language · Computer Science 2022-05-24 Jiarui Zhang , Filip Ilievski , Kaixin Ma , Jonathan Francis , Alessandro Oltramari

We introduce and study several measures of complexity of functions from the convex hull of a given base class. These complexity measures take into account the sparsity of the weights of a convex combination as well as certain clustering…

Probability · Mathematics 2007-05-23 Vladimir Koltchinskii , Dmitry Panchenko

Recent studies have shown that Large Language Models (LLMs) have the potential to process extremely long text. Many works only evaluate LLMs' long-text processing ability on the language modeling task, with perplexity (PPL) as the…

Computation and Language · Computer Science 2024-05-13 Yutong Hu , Quzhe Huang , Mingxu Tao , Chen Zhang , Yansong Feng

To process novel sentences, language models (LMs) must generalize compositionally -- combine familiar elements in new ways. What aspects of a model's structure promote compositional generalization? Focusing on transformers, we test the…

Computation and Language · Computer Science 2024-04-12 Jackson Petty , Sjoerd van Steenkiste , Ishita Dasgupta , Fei Sha , Dan Garrette , Tal Linzen

To learn a semantic parser from denotations, a learning algorithm must search over a combinatorially large space of logical forms for ones consistent with the annotated denotations. We propose a new online learning algorithm that searches…

Computation and Language · Computer Science 2017-09-04 Yuchen Zhang , Panupong Pasupat , Percy Liang

Text simplification seeks to improve readability while retaining the original content and meaning. Our study investigates whether pre-trained classifiers also maintain such coherence by comparing their predictions on both original and…

Computation and Language · Computer Science 2024-04-11 Miriam Anschütz , Edoardo Mosca , Georg Groh

The versatility of word embeddings for various applications is attracting researchers from various fields. However, the impact of hyper-parameters when training embedding model is often poorly understood. How much do hyper-parameters such…

Computation and Language · Computer Science 2018-04-13 Maryam Fanaeepour , Adam Makarucha , Jey Han Lau

Complex Word Identification (CWI) aims to detect words within a text that a reader may find difficult to understand. It has been shown that CWI systems can improve text simplification, readability prediction and vocabulary acquisition…

Computation and Language · Computer Science 2022-05-06 Sian Gooding , Manuel Tragut

On the premise that we are using passwords composed of multiple English words, we argue that using syntactically correct passphrases has no significant impact on the security in comparison to randomly arranged collections of words. We only…

Cryptography and Security · Computer Science 2016-03-22 Eugene Panferov

Large Language Models (LLMs) have achieved remarkable success across a wide range of natural language tasks, and recent efforts have sought to extend their capabilities to multimodal domains and resource-constrained environments. However,…

Machine Learning · Computer Science 2025-05-26 Yun-Da Tsai

Complexity bounds for many problems on matrices with univariate polynomial entries have been improved in the last few years. Still, for most related algorithms, efficient implementations are not available, which leaves open the question of…

Symbolic Computation · Computer Science 2019-05-14 Seung Gyu Hyun , Vincent Neiger , Éric Schost