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This paper investigates some issues arising in categorical models of reversible logic and computation. Our claim is that the structural (coherence) isomorphisms of these categorical models, although generally overlooked, have decidedly…

Category Theory · Mathematics 2013-04-29 Peter Hines

When we work with information from multiple sources, the formalism each employs to handle uncertainty may not be uniform. In order to be able to combine these knowledge bases of different formats, we need to first establish a common basis…

Artificial Intelligence · Computer Science 2013-02-18 Choh Man Teng

Classes on compiler technology are commonly found in Computer Science curricula, covering aspects of parsing, semantic analysis, intermediate transformations and target code generation. This paper reports on introducing certified…

Programming Languages · Computer Science 2019-06-28 Per Lindgren , Marcus Lindner , Nils Fitinghoff

Employing a recently proposed separability criterion we develop analytical lower bounds for the concurrence and for the entanglement of formation of bipartite quantum systems. The separability criterion is based on a nondecomposable…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

This paper proposes a way of protecting probabilistic prediction models against changes in the data distribution, concentrating on the case of classification and paying particular attention to binary classification. This is important in…

Machine Learning · Computer Science 2021-10-26 Vladimir Vovk , Ivan Petej , Alex Gammerman

A complementary label (CL) simply indicates an incorrect class of an example, but learning with CLs results in multi-class classifiers that can predict the correct class. Unfortunately, the problem setting only allows a single CL for each…

Machine Learning · Computer Science 2022-08-09 Lei Feng , Takuo Kaneko , Bo Han , Gang Niu , Bo An , Masashi Sugiyama

This article addresses the problem of formulating efficient and reliable operational preservation policies that ensure bit-level information integrity over long periods, and in the presence of a diverse range of real-world technical, legal,…

Cryptography and Security · Computer Science 2022-06-22 Micah Altman , Richard Landau

Parser combinators are a well-known mechanism used for the compositional construction of parsers, and have shown to be particularly useful in writing parsers for rich grammars with data-dependencies and global state. Verifying applications…

Programming Languages · Computer Science 2023-05-16 Ashish Mishra , Suresh Jagannathan

We investigate a canonical way of defining bisimilarity of systems when their semantics is given by a coreflection, typically in a category of transition systems. We use the fact, from Joyal et al., that coreflections preserve open…

Logic in Computer Science · Computer Science 2018-09-26 Jérémy Dubut , Ichiro Hasuo , Shin-ya Katsumata , David Sprunger

We combine two recent ideas: cartesian differential categories, and restriction categories. The result is a new structure which axiomatizes the category of smooth maps defined on open subsets of $\R^n$ in a way that is completely algebraic.…

Category Theory · Mathematics 2012-08-21 J. R. B. Cockett , G. S. H. Cruttwell , J. D. Gallagher

Rule learning approaches for knowledge graph completion are efficient, interpretable and competitive to purely neural models. The rule aggregation problem is concerned with finding one plausibility score for a candidate fact which was…

Artificial Intelligence · Computer Science 2023-09-04 Patrick Betz , Stefan Lüdtke , Christian Meilicke , Heiner Stuckenschmidt

We present a lattice of distributed program specifications, whose ordering represents implementability/refinement. Specifications are modelled by families of subsets of relative execution traces, which encode the local orderings of state…

Logic in Computer Science · Computer Science 2023-04-25 Nasos Evangelou-Oost , Callum Bannister , Ian J. Hayes

Automata representing game-semantic models of programs are meant to operate in environments whose input-output behaviour is constrained by the rules of a game. This can lead to a notion of equivalence between states which is weaker than the…

Programming Languages · Computer Science 2012-12-18 Dan R. Ghica , Zaid Al-Zobaidi

In this paper we introduce a novel notion of probabilistic bisimulation for quantum processes and prove that it is congruent with respect to various process algebra combinators including parallel composition even when both classical and…

Quantum Physics · Physics 2013-11-15 Yuan Feng , Runyao Duan , Mingsheng Ying

We address the problem of preserving non-interference across compiler transformations under speculative semantics. We develop a proof method that ensures the preservation uniformly across all source programs. The basis of our proof method…

Programming Languages · Computer Science 2024-11-22 Sören van der Wall , Roland Meyer

We consider the problem of distribution-free conformal prediction and the criterion of group conditional validity. This criterion is motivated by many practical scenarios including hidden stratification and group fairness. Existing methods…

Machine Learning · Computer Science 2023-03-21 Samuel Deng , Navid Ardeshir , Daniel Hsu

This paper introduces a new similarity measure, the covering similarity, that we formally define for evaluating the similarity between a symbolic sequence and a set of symbolic sequences. A pair-wise similarity can also be directly derived…

Cryptography and Security · Computer Science 2018-10-30 Pierre-François Marteau

This paper introduces a reformulation of the classical convergence theorem for spectral sequences of filtered complexes which provides an algorithm to effectively compute the induced filtration on the total (co)homology, as soon as the…

K-Theory and Homology · Mathematics 2009-04-30 Mohamed Barakat

A new fast algorithm for clustering and classification of large collections of text documents is introduced. The new algorithm employs the bipartite graph that realizes the word-document matrix of the collection. Namely, the modularity of…

Information Retrieval · Computer Science 2011-05-31 Grigory Pivovarov , Sergei Trunov

Reliable navigation in safety-critical environments requires both accurate hazard perception and principled uncertainty handling to strengthen downstream safety handling. Despite the effectiveness of existing approaches, they assume perfect…

Machine Learning · Computer Science 2025-10-22 Daniel Bethell , Simos Gerasimou , Radu Calinescu , Calum Imrie