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Using the Carlson-Simpson theorem, we give a new general condition for a structure in a finite binary relational language to have finite big Ramsey degrees

Existential rules have been proposed for representing ontological knowledge, specifically in the context of Ontology- Based Data Access. Entailment with existential rules is undecidable. We focus in this paper on conditions that ensure the…

Artificial Intelligence · Computer Science 2014-07-28 Jean-François Baget , Fabien Garreau , Marie-Laure Mugnier , Swan Rocher

Without wasting time and effort on philosophical justifications and implications, we write down the conditions for the Hamiltonian of a quantum system for rendering it mathematically equivalent to a deterministic system. These are the…

Quantum Physics · Physics 2020-06-09 Gerard t Hooft

Nowadays, the experimental study of emotional learning is commonly based on classical conditioning paradigms and models, which have been thoroughly investigated in the last century. On the contrary, limited attention has been paid to the…

Neurons and Cognition · Quantitative Biology 2016-01-29 Luca Puviani , Sidita Rama , Giorgio Vitetta

We consider the problem of decision-making with side information and unbounded loss functions. Inspired by probably approximately correct learning model, we use a slightly different model that incorporates the notion of side information in…

Machine Learning · Computer Science 2007-07-13 Majid Fozunbal , Ton Kalker

We consider a class of singular ordinary differential equations describing analytic systems of arbitrary finite dimension, subject to a quasi-periodic forcing term and in the presence of dissipation. We study the existence of response…

Dynamical Systems · Mathematics 2020-03-10 Guido Gentile , Alessandro Mazzoccoli , Faenia Vaia

Existential rules have been proposed for representing ontological knowledge, specifically in the context of Ontology-Based Query Answering. Entailment with existential rules is undecidable. We focus in this paper on conditions that ensure…

Artificial Intelligence · Computer Science 2014-07-28 Jean-Francois Baget , Fabien Garreau , Marie-Laure Mugnier , Swan Rocher

We study the stochastic noisy bandit problem with an unknown reward function $f^*$ in a known function class $\mathcal{F}$. Formally, a model $M$ maps arms $\pi$ to a probability distribution $M(\pi)$ of reward. A model class $\mathcal{M}$…

Machine Learning · Computer Science 2025-01-20 Steve Hanneke , Kun Wang

The conventional wisdom behind learning deep classification models is to focus on bad-classified examples and ignore well-classified examples that are far from the decision boundary. For instance, when training with cross-entropy loss,…

Machine Learning · Computer Science 2023-03-17 Guangxiang Zhao , Wenkai Yang , Xuancheng Ren , Lei Li , Yunfang Wu , Xu Sun

We report on the mechanization of (preference-based) conditional normative reasoning. Our focus is on Aqvist's system E for conditional obligation, and its extensions. Our mechanization is achieved via a shallow semantical embedding in…

Logic in Computer Science · Computer Science 2024-07-09 Xavier Parent , Christoph Benzmüller

We consider a critically-loaded multiclass queueing control problem with model uncertainty. The model consists of $I$ types of customers and a single server. At any time instant, a decision-maker (DM) allocates the server's effort to the…

Probability · Mathematics 2021-03-31 Asaf Cohen , Subhamay Saha

Decision problems in physics have been an active field of research for quite a few decades resulting in some interesting findings in recent years. However, such research investigations are based on a priori knowledge of theoretical computer…

General Physics · Physics 2024-01-12 Abhishek Majhi

In this paper we present a theorem proving methodology for a restricted but significant fragment of the conditional language made up of (boolean combinations of) conditional statements with unnested antecedents. The method is based on the…

Logic in Computer Science · Computer Science 2007-05-23 Alberto Artosi , Guido Governatori

Cardinality-constrained optimization (CCO) is a popular topic in sparse learning and signal recovery, yet remains challenging due to the inherent nonconvexity and discontinuity of cardinality constraints. This paper investigates the exact…

Optimization and Control · Mathematics 2026-05-19 Lili Pan , Huilin Xie , Xianchao Xiu , Jiyuan Tao

By looking at decidable quotients, a sufficient condition is provided to guarantee that (1) the full subcategory of decidable objects of a topos is an exponential ideal and that (2) the classical notion of connectedness for an object $X$…

Category Theory · Mathematics 2025-04-23 Enrique Ruiz Hernández , Pedro Solórzano

Optimization-based jailbreaks typically adopt the Toxic-Continuation setting in large vision-language models (LVLMs), following the standard next-token prediction objective. In this setting, an adversarial image is optimized to make the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Hee-Seon Kim , Minbeom Kim , Wonjun Lee , Kihyun Kim , Changick Kim

Conformal prediction (CP) can convert any model's output into prediction sets guaranteed to include the true label with any user-specified probability. However, same as the model itself, CP is vulnerable to adversarial test examples…

Machine Learning · Computer Science 2024-07-15 Soroush H. Zargarbashi , Mohammad Sadegh Akhondzadeh , Aleksandar Bojchevski

We introduce and investigate the expressive description logic (DL) ALCSCC++, in which the global and local cardinality constraints introduced in previous papers can be mixed. On the one hand, we prove that this does not increase the…

Logic in Computer Science · Computer Science 2020-02-17 Franz Baader , Bartosz Bednarczyk , Sebastian Rudolph

Machine learning (ML) models always make a prediction, even when they are likely to be wrong. This causes problems in practical applications, as we do not know if we should trust a prediction. ML with reject option addresses this issue by…

In strategic classification, an institution (e.g., a bank) anticipates adaptation from users who change their features to increase utility in a classification task (e.g., loan repayment). Since a key challenge is the distribution shift…

Machine Learning · Computer Science 2026-05-27 Antonio Gois , Sophia Gunluk , Nir Rosenfeld , Nidhi Hegde , Simon Lacoste-Julien , Dhanya Sridhar