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Fairness-aware machine learning seeks to maximise utility in generating predictions while avoiding unfair discrimination based on sensitive attributes such as race, sex, religion, etc. An important line of work in this field is enforcing…

Machine Learning · Computer Science 2022-02-24 Stelios Boulitsakis-Logothetis

We describe a class calculus that is expressive enough to describe and improve its own learning process. It can design and debug programs that satisfy given input/output constraints, based on its ontology of previously learned programs. It…

Artificial Intelligence · Computer Science 2018-04-11 Daniel J. Buehrer

This paper presents a sound, complete, and decidable analytic tableau system for the logic of evidence and truth \letf, introduced in Rodrigues, Bueno-Soler \& Carnielli (Synthese, DOI: 10.1007/s11229-020-02571-w, 2020). \letf\ is an…

Logic · Mathematics 2024-12-24 Walter Carnielli , Lorenzzo Frade , Abilio Rodrigues

This paper fills a gap in the literature on natural duality theory. It concerns dual representations of categories of distributive-lattice-based algebras in which the lattice reducts are not assumed to have bounds. The development of theory…

Rings and Algebras · Mathematics 2020-02-18 Leonardo M. Cabrer , Hilary A. Priestley

We introduce a proper display calculus for (non-distributive) Lattice Logic which is sound, complete, conservative, and enjoys cut-elimination and sub-formula property. Properness (i.e. closure under uniform substitution of all parametric…

Logic · Mathematics 2016-12-31 Giuseppe Greco , Alessandra Palmigiano

Ranking alternatives is a natural way for humans to explain their preferences. It is being used in many settings, such as school choice, course allocations and residency matches. In some cases, several `items' are given to each participant.…

Computer Science and Game Theory · Computer Science 2022-12-06 Erel Segal-Halevi , Haris Aziz , Avinatan Hassidim

Many objects in the real world are difficult to describe by a single numerical vector of a fixed length, whereas describing them by a set of vectors is more natural. Therefore, Multiple instance learning (MIL) techniques have been…

Machine Learning · Computer Science 2017-03-08 Tomas Pevny , Petr Somol

The multiple extension problem arises frequently in diagnostic and default inference. That is, we can often use any of a number of sets of defaults or possible hypotheses to explain observations or make Predictions. In default inference,…

Artificial Intelligence · Computer Science 2013-04-11 Eric Neufeld , David L Poole

We introduce the "Incremental Implicitly-Refined Classi-fication (IIRC)" setup, an extension to the class incremental learning setup where the incoming batches of classes have two granularity levels. i.e., each sample could have a…

Computer Vision and Pattern Recognition · Computer Science 2021-01-13 Mohamed Abdelsalam , Mojtaba Faramarzi , Shagun Sodhani , Sarath Chandar

Typestate systems ensure many desirable properties of imperative programs, including initialization of object fields and correct use of stateful library interfaces. Abstract sets with cardinality constraints naturally generalize typestate…

Programming Languages · Computer Science 2013-02-14 Bruno Marnette , Viktor Kuncak , Martin Rinard

We study the effectiveness of neural sequence models for premise selection in automated theorem proving, one of the main bottlenecks in the formalization of mathematics. We propose a two stage approach for this task that yields good results…

Artificial Intelligence · Computer Science 2017-01-30 Alex A. Alemi , Francois Chollet , Niklas Een , Geoffrey Irving , Christian Szegedy , Josef Urban

The choice of an isomorphism, a duality, between a finite abelian group $A$ and its character group allows one to define dual codes of additive codes over $A$. Properties of dualities and dual codes are studied, continuing work of Delsarte…

Information Theory · Computer Science 2026-01-07 Jay A. Wood

This thesis deals with two main topics: virtual double categories as semantics environments for predicate logic, and a syntactic presentation of virtual double categories as a type theory. One significant principle of categorical logic is…

Category Theory · Mathematics 2025-02-03 Hayato Nasu

We express Brewka's prioritised default logic (PDL) as argumentation using ASPIC+. By representing PDL as argumentation and designing an argument preference relation that takes the argument structure into account, we prove that the…

Artificial Intelligence · Computer Science 2016-09-20 Anthony P. Young , Sanjay Modgil , Odinaldo Rodrigues

The Information Bottleneck (IB) framework is a general characterization of optimal representations obtained using a principled approach for balancing accuracy and complexity. Here we present a new framework, the Dual Information Bottleneck…

Information Theory · Computer Science 2020-06-09 Zoe Piran , Ravid Shwartz-Ziv , Naftali Tishby

We propound the thesis that there is a limitation to the number of possible structures which are axiomatically endowed with identities involving operations. In the case of algebras with a binary operation satisfying a formally reducible (to…

Rings and Algebras · Mathematics 2007-05-23 Constantin M. Petridi , P. B. Krikelis

We relativise double categories of relations to stable orthogonal factorisation systems. Furthermore, we present the characterisation of the relative double categories of relations in two ways. The first utilises a generalised comprehension…

Category Theory · Mathematics 2025-01-24 Keisuke Hoshino , Hayato Nasu

We make a start on one of George McNulty's Dozen Easy Problems: "Which finite automatic algebras are dualizable?" We give some necessary and some sufficient conditions for dualizability. For example, we prove that a finite automatic algebra…

Rings and Algebras · Mathematics 2012-10-05 Wolfram Bentz , Brian A. Davey , Jane G. Pitkethly , Ross Willard

We continue developing the theory around the twin-width of totally ordered binary structures, initiated in the previous paper of the series. We first introduce the notion of parity and linear minors of a matrix, which consists of…

Data Structures and Algorithms · Computer Science 2022-09-27 Édouard Bonnet , Ugo Giocanti , Patrice Ossona de Mendez , Stéphan Thomassé

We introduce a simple and intuitive framework that provides quantitative explanations of statistical models through the probabilistic assessment of input feature importance. The core idea comes from utilizing the Dirichlet distribution to…

Machine Learning · Statistics 2022-09-20 Kamil Adamczewski , Frederik Harder , Mijung Park