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This chapter provides an introduction to the use of diagrammatic language, or perhaps more accurately, diagrammatic calculus, in quantum information and quantum foundations. We illustrate the use of diagrammatic calculus in one particular…

Quantum Physics · Physics 2015-06-12 Bob Coecke , Ross Duncan , Aleks Kissinger , Quanlong Wang

We propose the concept of a system algebra with a parallel composition operation and an interface connection operation, and formalize composition-order invariance, which postulates that the order of composing and connecting systems is…

Other Computer Science · Computer Science 2018-09-25 Christian Matt , Ueli Maurer , Christopher Portmann , Renato Renner , Björn Tackmann

This paper proposes an alternative to standard first-order logic that seeks greater naturalness, generality, and semantic self-containment. The system removes the first-order restriction, avoids type hierarchies, and dispenses with external…

Logic · Mathematics 2025-08-12 Mauro Avon

Semantic role theory considers roles as a small universal set of unanalyzed entities. It means that formally there are no restrictions on role combinations. We argue that the semantic roles co-occur in verb representations. It means that…

Computation and Language · Computer Science 2018-10-10 Aliaksandr Huminski , Hao Zhang , Gangeshwar Krishnamurthy

The concept bottleneck model (CBM) is an interpretable-by-design framework that makes decisions by first predicting a set of interpretable concepts, and then predicting the class label based on the given concepts. Existing CBMs are trained…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Andong Tan , Fengtao Zhou , Hao Chen

Definition Modeling, the task of generating definitions, was first proposed as a means to evaluate the semantic quality of word embeddings-a coherent lexical semantic representations of a word in context should contain all the information…

Computation and Language · Computer Science 2023-06-16 Vincent Segonne , Timothee Mickus

We describe a cohomological framework for measurement based quantum computation, in which symmetry plays a central role. Therein, the essential information about the computational output is contained in topological invariants, namely…

Quantum Physics · Physics 2019-12-23 Robert Raussendorf

We study polymorphic type assignment systems for untyped lambda-calculi with effects, based on Moggi's monadic approach. Moving from the abstract definition of monads, we introduce a version of the call-by-value computational…

Logic in Computer Science · Computer Science 2020-02-10 Ugo de'Liguoro , Riccardo Treglia

Concept Bottleneck Models (CBMs) aim to enhance interpretability by predicting human-understandable concepts as intermediates for decision-making. However, these models often face challenges in ensuring reliable concept representations,…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Yuxuan Cai , Xiyu Wang , Satoshi Tsutsui , Winnie Pang , Bihan Wen

Concept-Based Models (CBMs) are a class of deep learning models that provide interpretability by explaining predictions through high-level concepts. These models first predict concepts and then use them to perform a downstream task.…

Machine Learning · Computer Science 2025-06-27 David Debot , Pietro Barbiero , Gabriele Dominici , Giuseppe Marra

The paper proposes the task of universal semantic tagging---tagging word tokens with language-neutral, semantically informative tags. We argue that the task, with its independent nature, contributes to better semantic analysis for…

Computation and Language · Computer Science 2017-10-02 Lasha Abzianidze , Johan Bos

Concept bottleneck models (CBMs) are inherently interpretable and intervenable neural network models, which explain their final label prediction by the intermediate prediction of high-level semantic concepts. However, they require target…

Machine Learning · Computer Science 2026-04-06 Shin'ya Yamaguchi , Kosuke Nishida , Daiki Chijiwa , Yasutoshi Ida

The Lambek calculus provides a foundation for categorial grammar in the form of a logic of concatenation. But natural language is characterized by dependencies which may also be discontinuous. In this paper we introduce the displacement…

Computation and Language · Computer Science 2010-04-26 Glyn Morrill , Oriol Valentín

Quantification is the machine learning task of estimating test-data class proportions that are not necessarily similar to those in training. Apart from its intrinsic value as an aggregate statistic, quantification output can also be used to…

Machine Learning · Computer Science 2016-06-06 Aykut Firat

Word embedding, specially with its recent developments, promises a quantification of the similarity between terms. However, it is not clear to which extent this similarity value can be genuinely meaningful and useful for subsequent tasks.…

Computation and Language · Computer Science 2018-04-05 Navid Rekabsaz , Mihai Lupu , Allan Hanbury

Generalized contextuality is a possible indicator of non-classical behaviour in quantum information theory. In finite-dimensional systems, this is justified by the fact that noncontextual theories can be embedded into some simplex, i.e.…

We introduce a notion of compatibility between constraint encoding and compositional structure. Phrased in the language of category theory, it is given by a "composable constraint encoding". We show that every composable constraint encoding…

Category Theory · Mathematics 2021-12-14 Matt Wilson , Augustin Vanrietvelde

Quantum theory departs from classical probabilistic theories in foundational ways. These departures--termed quantumness here--power quantum information and computation. This thesis charts the role of discrete structures in assessing…

Quantum Physics · Physics 2025-12-22 Ravi Kunjwal

Over the years, a plethora of cost-sensitive methods have been proposed for learning on data when different types of misclassification errors incur different costs. Our contribution is a unifying framework that provides a comprehensive and…

Machine Learning · Computer Science 2020-07-16 George Petrides , Wouter Verbeke

Semantic Heterogeneity is conventionally understood as the existence of variance in the representation of a target reality when modelled, by independent parties, in different databases, schemas and/ or data. We argue that the mere encoding…

Artificial Intelligence · Computer Science 2022-07-05 Fausto Giunchiglia , Mayukh Bagchi
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