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Model reduction is a central topic in systems biology and dynamical systems theory, for reducing the complexity of detailed models, finding important parameters, and developing multi-scale models for instance. While perturbation theory is a…

Molecular Networks · Quantitative Biology 2014-01-27 Sylvain Soliman , Francois Fages , Ovidiu Radulescu

We argue that in some KR applications, we want to quantify over sets of concepts formally represented by symbols in the vocabulary. We show that this quantification should be distinguished from second-order quantification and…

Logic in Computer Science · Computer Science 2023-08-31 Pierre Carbonnelle , Matthias Van der Hallen , Marc Denecker

We propose another interpretation of well-known derivatives computations from regular expressions, due to Brzozowski, Antimirov or Lombardy and Sakarovitch, in order to abstract the underlying data structures (e.g. sets or linear…

Formal Languages and Automata Theory · Computer Science 2023-01-31 Samira Attou , Ludovic Mignot , Clément Miklarz , Florent Nicart

To steer language models towards truthful outputs on tasks which are beyond human capability, previous work has suggested training models on easy tasks to steer them on harder ones (easy-to-hard generalization), or using unsupervised…

Machine Learning · Computer Science 2026-02-25 Callum Canavan , Aditya Shrivastava , Allison Qi , Jonathan Michala , Fabien Roger

We study the problem of combining the outcomes of several different classifiers in a way that provides a coherent inference that satisfies some constraints. In particular, we develop two general approaches for an important…

Machine Learning · Computer Science 2007-05-23 Vasin Punyakanok , Dan Roth

Sentence simplification aims to make sentences easier to read and understand. Recent approaches have shown promising results with sequence-to-sequence models which have been developed assuming homogeneous target audiences. In this paper we…

Computation and Language · Computer Science 2019-10-11 Jonathan Mallinson , Mirella Lapata

In this paper we study the notion of synchronization from the point of view of combinatorics. As a first step, we address the quantitative problem of counting the number of executions of simple processes interacting with synchronization…

Programming Languages · Computer Science 2019-07-10 Olivier Bodini , Matthieu Dien , Antoine Genitrini , Frédéric Peschanski

Composition methodologies in the current literature are mainly to promote estimation efficiency via direct composition, either, of initial estimators or of objective functions. In this paper, composite estimation is investigated for both…

Methodology · Statistics 2013-12-31 Lu Lin , Feng Li , Kangning Wang , Lixing Zhu

Developing robust representations of chemical structures that enable models to learn topological inductive biases is challenging. In this manuscript, we present a representation of atomistic systems. We begin by proving that our…

Machine Learning · Computer Science 2024-09-27 Rahul Khorana , Marcus Noack , Jin Qian

Equilibrium logic is an approach to nonmonotonic reasoning that extends the stable-model and answer-set semantics for logic programs. In particular, it includes the general case of nested logic programs, where arbitrary Boolean combinations…

Logic in Computer Science · Computer Science 2009-12-30 David Pearce , Hans Tompits , Stefan Woltran

In order to simplify a sentence, human editors perform multiple rewriting transformations: they split it into several shorter sentences, paraphrase words (i.e. replacing complex words or phrases by simpler synonyms), reorder components,…

Computation and Language · Computer Science 2020-05-04 Fernando Alva-Manchego , Louis Martin , Antoine Bordes , Carolina Scarton , Benoît Sagot , Lucia Specia

The definitional equality of an intensional type theory is its test of type compatibility. Today's systems rely on ordinary evaluation semantics to compare expressions in types, frustrating users with type errors arising when evaluation…

Programming Languages · Computer Science 2013-06-18 Guillaume Allais , Pierre Boutillier , Conor McBride

We analyse the problem of solving Boolean equation systems through the use of structure graphs. The latter are obtained through an elegant set of Plotkin-style deduction rules. Our main contribution is that we show that equation systems…

Logic in Computer Science · Computer Science 2010-02-16 Michel A. Reniers , Tim A. C. Willemse

What fascinates us about animal behavior is its richness and complexity, but understanding behavior and its neural basis requires a simpler description. Traditionally, simplification has been imposed by training animals to engage in a…

Neurons and Cognition · Quantitative Biology 2016-07-13 Greg J. Stephens , Leslie C. Osborne , William Bialek

Given an arbitrary long but finite sequence of observations from a finite set, we construct a simple process that approximates the sequence, in the sense that with high probability the empirical frequency, as well as the empirical one-step…

Statistics Theory · Mathematics 2007-06-13 Dinah Rosenberg , Eilon Solan , Nicolas Vieille

This paper summarises the current state-of-the art in the study of compositionality in distributional semantics, and major challenges for this area. We single out generalised quantifiers and intensional semantics as areas on which to focus…

Computation and Language · Computer Science 2012-07-11 Daoud Clarke

We consider grammar-restricted exact learning of formulas and terms in finite variable logics. We propose a novel and versatile automata-theoretic technique for solving such problems. We first show results for learning formulas that…

Logic in Computer Science · Computer Science 2021-11-15 Paul Krogmeier , P. Madhusudan

From doctors diagnosing patients to judges setting bail, experts often base their decisions on experience and intuition rather than on statistical models. While understandable, relying on intuition over models has often been found to result…

Applications · Statistics 2017-04-04 Jongbin Jung , Connor Concannon , Ravi Shroff , Sharad Goel , Daniel G. Goldstein

The recent approaches of extending the GRAPHPLAN algorithm to handle more expressive planning formalisms raise the question of what the formal meaning of "expressive power" is. We formalize the intuition that expressive power is a measure…

Artificial Intelligence · Computer Science 2011-06-02 B. Nebel

Monads can be interpreted as encoding formal expressions, or formal operations in the sense of universal algebra. We give a construction which formalizes the idea of "evaluating an expression partially": for example, "2+3" can be obtained…

Category Theory · Mathematics 2021-04-20 Tobias Fritz , Paolo Perrone