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For any first order theory T we construct a Boolean valued model M, in which precisely the T--provable formulas hold, and in which every (Boolean valued) subset which is invariant under all automorphisms of M is definable by a first order…

Logic · Mathematics 2016-09-07 Carsten Butz , Ieke Moerdijk

We consider the problem of constructing a thermodynamic theory of non-equilibrium steady states as a formal extension of the equilibrium theory. Specifically, studying a particular system, we attempt to construct a phenomenological theory…

Statistical Mechanics · Physics 2009-06-11 Glenn C. Paquette

We introduce a new family of temporal logics designed to finely balance the trade-off between expressivity and complexity. Their key feature is the possibility of defining operators of a new kind that we call transformation operators. Some…

Logic in Computer Science · Computer Science 2024-09-09 Alessandro Ronca

This article discusses the possibility of predicting human behavior in a mechanism. Such a mechanism will have certain properties, which are defined and discussed here. Here it is shown that, unfortunately, certain property combinations are…

Computer Science and Game Theory · Computer Science 2012-10-09 Sergey Kuniavsky

In this work we present a re-evaluation of the concept of time in non-relativistic quantum theory. We suggest a formalism in which time is changed into the status of an operator, and where expectation values of observables and the state of…

Quantum Physics · Physics 2015-07-13 Eduardo O. Dias , Fernando Parisio

In this paper we define a new algebraic object: the disguised-groups. We show the main properties of the disguised-groups and, as a consequence, we will see that disguised-groups coincide with regular semigroups. We prove many of the…

Group Theory · Mathematics 2020-06-08 Eduardo Blanco-Gómez

A predicate linear temporal logic LTL_{\lambda,=} without quantifiers but with predicate abstraction mechanism and equality is considered. The models of LTL_{\lambda,=} can be naturally seen as the systems of pebbles (flexible constants)…

Logic in Computer Science · Computer Science 2007-05-23 Alexei Lisitsa , Igor Potapov

This paper studies the role played by identification in the Bayesian analysis of statistical and econometric models. First, for unidentified models we demonstrate that there are situations where the introduction of a non-degenerate prior…

Econometrics · Economics 2021-10-20 Jean-Pierre Florens , Anna Simoni

Automated Planning is one of the main research field of Artificial Intelligence since its beginnings. Research in Automated Planning aims at developing general reasoners (i.e., planners) capable of automatically solve complex problems.…

Artificial Intelligence · Computer Science 2019-05-15 Alessandro Umbrico

We introduce the concept of a prenormed model of a particular kind of finitary single-sorted first-order theories, interpreted over a category with finite products. These are referred to as prealgebraic theories, for the fact that their…

Category Theory · Mathematics 2016-04-06 Salvatore Tringali

This paper introduces a general Bayesian non- parametric latent feature model suitable to per- form automatic exploratory analysis of heterogeneous datasets, where the attributes describing each object can be either discrete, continuous or…

Machine Learning · Statistics 2017-07-27 Isabel Valera , Melanie F. Pradier , Zoubin Ghahramani

We introduce a formalism for time-dependent correlation functions for systems whose evolutions are governed by non-Hermitian Hamiltonians of general type. It turns out that one can define two different types of time correlation functions.…

Quantum Physics · Physics 2016-10-21 Alessandro Sergi , Konstantin G. Zloshchastiev

In non-clairvoyant scheduling, the task is to find an online strategy for scheduling jobs with a priori unknown processing requirements with the objective to minimize the total (weighted) completion time. We revisit this well-studied…

Data Structures and Algorithms · Computer Science 2022-05-23 Alexander Lindermayr , Nicole Megow

Probabilistic modeling is one of the foundations of modern machine learning and artificial intelligence. In this paper, we propose a novel type of probabilistic models named latent dependency forest models (LDFMs). A LDFM models the…

Artificial Intelligence · Computer Science 2016-11-22 Shanbo Chu , Yong Jiang , Kewei Tu

A prediction interval covers a future observation from a random process in repeated sampling, and is typically constructed by identifying a pivotal quantity that is also an ancillary statistic. Analogously, a tolerance interval covers a…

Methodology · Statistics 2022-01-19 Geoffrey S Johnson

Models necessarily capture only parts of a reality. Prediction models aim at capturing a future reality. In this paper we address the question of how the future is constructed (or: imagined) in an investment context where market…

General Finance · Quantitative Finance 2019-12-24 Matthias J. Feiler , Thibaut Ajdler

Functional data are frequently accompanied by a parametric template that describes the typical shapes of the functions. However, these parametric templates can incur significant bias, which undermines both utility and interpretability. To…

Methodology · Statistics 2022-05-18 Daniel R. Kowal , Antonio Canale

We present an elementary introduction to a new logic for reasoning about behaviors that occur over time. This logic is based on temporal type theory. The syntax of the logic is similar to the usual first-order logic; what differs is the…

Logic · Mathematics 2022-11-04 Brendan Fong , Alberto Speranzon , David I. Spivak

Diffusion models, a family of generative models based on deep learning, have become increasingly prominent in cutting-edge machine learning research. With a distinguished performance in generating samples that resemble the observed data,…

Machine Learning · Computer Science 2023-05-02 Lequan Lin , Zhengkun Li , Ruikun Li , Xuliang Li , Junbin Gao

Traffic prediction is a flourishing research field due to its importance in human mobility in the urban space. Despite this, existing studies only focus on short-term prediction of up to few hours in advance, with most being up to one hour…

Machine Learning · Computer Science 2023-03-06 David Alexander Tedjopurnomo , Farhana M. Choudhury , A. K. Qin