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With the recent success of pre-trained models in NLP, a significant focus was put on interpreting their representations. One of the most prominent approaches is structural probing (Hewitt and Manning, 2019), where a linear projection of…

Computation and Language · Computer Science 2021-06-25 Tomasz Limisiewicz , David Mareček

Robust low-rank matrix estimation is a topic of increasing interest, with promising applications in a variety of fields, from computer vision to data mining and recommender systems. Recent theoretical results establish the ability of such…

Information Theory · Computer Science 2011-09-29 Ignacio Ramírez , Guillermo Sapiro

Non-negative matrix factorization (NMF) is a dimensionality reduction technique which tends to produce a sparse representation of data. Commonly, the error between the actual and recreated matrices is used as an objective function, but this…

Machine Learning · Computer Science 2019-02-06 Steven Squires , Adam Prugel Bennett , Mahesan Niranjan

This paper presents our experience on building RDF knowledge graphs for an industrial use case in the legal domain. The information contained in legal information systems are often accessed through simple keyword interfaces and presented as…

Databases · Computer Science 2019-11-19 Ademar Crotti Junior , Fabrizio Orlandi , Declan O'Sullivan , Christian Dirschl , Quentin Reul

Complexity is a fundamental concept underlying statistical learning theory that aims to inform generalization performance. Parameter count, while successful in low-dimensional settings, is not well-justified for overparameterized settings…

Machine Learning · Computer Science 2023-10-16 Raaz Dwivedi , Chandan Singh , Bin Yu , Martin J. Wainwright

Explicit structural information has been proven to be encoded by Graph Neural Networks (GNNs), serving as auxiliary knowledge to enhance model capabilities and improve performance in downstream NLP tasks. However, recent studies indicate…

Computation and Language · Computer Science 2025-06-30 Li Zhou , Hao Jiang , Junjie Li , Zefeng Zhao , Feng Jiang , Wenyu Chen , Haizhou Li

Solomonoff's general theory of inference and the Minimum Description Length principle formalize Occam's razor, and hold that a good model of data is a model that is good at losslessly compressing the data, including the cost of describing…

Machine Learning · Computer Science 2019-01-29 Léonard Blier , Yann Ollivier

The mechanisms of comprehension during language processing remains an open question. Classically, building the meaning of a linguistic utterance is said to be incremental, step-by-step, based on a compositional process. However, many…

Computation and Language · Computer Science 2025-11-05 Philippe Blache , Emmanuele Chersoni , Giulia Rambelli , Alessandro Lenci

We investigate the space efficiency of a Propositional Knowledge Representation (PKR) formalism. Intuitively, the space efficiency of a formalism F in representing a certain piece of knowledge A, is the size of the shortest formula of F…

Artificial Intelligence · Computer Science 2011-06-02 M. Cadoli , F. M. Donini , P. Liberatore , M. Schaerf

Although they exist since more than ten years already, have attracted diverse implementations, and have been used successfully in a significant number of applications, declarative mapping languages for constructing knowledge graphs from…

Databases · Computer Science 2025-03-25 Sitt Min Oo , Olaf Hartig

We prove a theorem which provides a method for constructing points on varieties defined by certain smooth functions. We require that the functions are definable in a definably complete expansion of a real closed field and are locally…

Logic · Mathematics 2014-02-26 G. O. Jones , A. J. Wilkie

Recently, state-of-the-art NLP models gained an increasing syntactic and semantic understanding of language, and explanation methods are crucial to understand their decisions. Occlusion is a well established method that provides…

Computation and Language · Computer Science 2020-04-22 David Harbecke , Christoph Alt

We present a non-vacuous definition of compositionality. It is based on the idea of combining the minimum description length principle with the original definition of compositionality (that is, that the meaning of the whole is a function of…

Computation and Language · Computer Science 2007-05-23 Wlodek Zadrozny

This paper offers an approach to extensible knowledge representation and reasoning for a family of formalisms known as Description Logics. The approach is based on the notion of adding new concept constructors, and includes a heuristic…

Artificial Intelligence · Computer Science 2011-05-30 A. Borgida

Language models (LMs) trained on large quantities of text have been claimed to acquire abstract linguistic representations. Our work tests the robustness of these abstractions by focusing on the ability of LMs to learn interactions between…

Computation and Language · Computer Science 2020-10-13 Forrest Davis , Marten van Schijndel

We propose a novel framework for multitask reinforcement learning based on the minimum description length (MDL) principle. In this approach, which we term MDL-control (MDL-C), the agent learns the common structure among the tasks with which…

Machine Learning · Computer Science 2022-07-26 Ted Moskovitz , Ta-Chu Kao , Maneesh Sahani , Matthew M. Botvinick

In the Minimum Description Length (MDL) principle, learning from the data is equivalent to an optimal coding problem. We show that the codes that achieve optimal compression in MDL are critical in a very precise sense. First, when they are…

Methodology · Statistics 2018-10-03 Ryan John Cubero , Matteo Marsili , Yasser Roudi

Large language models (LLMs) can explain grammatical rules, yet they often fail to apply those rules when judging sentence acceptability. We present "grammar prompting", an explain-then-process paradigm: a large LLM first produces a concise…

Computation and Language · Computer Science 2025-06-04 Russell Scheinberg , Ameeta Agrawal , Amber Shore , So Young Lee

The ability of Large Language Models (LLMs) to perform reasoning tasks such as deduction has been widely investigated in recent years. Yet, their capacity to generate proofs-faithful, human-readable explanations of why conclusions…

Artificial Intelligence · Computer Science 2026-01-21 Hui Yang , Jiaoyan Chen , Uli Sattler

This paper presents \tdl, a typed feature-based representation language and inference system. Type definitions in \tdl\ consist of type and feature constraints over the boolean connectives. \tdl\ supports open- and closed-world reasoning…

cmp-lg · Computer Science 2019-08-15 Hans-Ulrich Krieger , Ulrich Schäfer