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This paper considers the computational hardness of computing expected outcomes and deciding almost-sure termination of probabilistic programs. We show that deciding almost-sure termination and deciding whether the expected outcome of a…

Logic in Computer Science · Computer Science 2014-10-28 Benjamin Lucien Kaminski , Joost-Pieter Katoen

How to compute (super) hedging costs in rather general fi- nancial market models with transaction costs in discrete-time ? Despite the huge literature on this topic, most of results are characterizations of the super-hedging prices while it…

Probability · Mathematics 2024-05-13 Emmanuel Lepinette , Duc Thinh Vu

The aim of this paper is to propose an alternative behavioural definition of computation (and of a computer) based simply on whether a system is capable of reacting to the environment-the input-as reflected in a measure of programmability.…

Logic in Computer Science · Computer Science 2012-11-26 Hector Zenil

Real-time quantification of residential building energy flexibility is needed to enable a cost-efficient operation of active distribution grids. A promising means is to use the so-called flexibility envelope concept to represent the…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Nami Hekmat , Hanmin Cai , Thierry Zufferey , Gabriela Hug , Philipp Heer

We discuss the objectives of automation equipped with non-trivial decision making, or creating artificial intelligence, in the financial markets and provide a possible alternative. Intelligence might be an unintended consequence of…

Computers and Society · Computer Science 2019-11-19 Ravi Kashyap

We investigate how to model exchangeability with choice functions. Exchangeability is a structural assessment on a sequence of uncertain variables. We show how such assessments are a special indifference assessment, and how that leads to a…

Artificial Intelligence · Computer Science 2017-03-07 Arthur Van Camp , Gert de Cooman

In this paper we focus on the problem of assigning uncertainties to single-point predictions. We introduce a cost function that encodes the trade-off between accuracy and reliability in probabilistic forecast. We derive analytic formula for…

Machine Learning · Statistics 2018-03-14 Enrico Camporeale

How to efficiently explore in reinforcement learning is an open problem. Many exploration algorithms employ the epistemic uncertainty of their own value predictions -- for instance to compute an exploration bonus or upper confidence bound.…

Machine Learning · Computer Science 2023-03-08 Simon Schmitt , John Shawe-Taylor , Hado van Hasselt

The lack of interpretability and transparency are preventing economists from using advanced tools like neural networks in their empirical research. In this paper, we propose a class of interpretable neural network models that can achieve…

Econometrics · Economics 2020-12-01 Yucheng Yang , Zhong Zheng , Weinan E

Making decisions freely presupposes that there is some indeterminacy in the environment and in the decision making engine. The former is reflected on the behavioral changes due to communicating: few changes indicate rigid environments;…

Artificial Intelligence · Computer Science 2020-09-23 Luis A. Pineda

The article considers the quantitative assessment approach to the innovativeness of different objects. The proposed assessment model is based on the object data retrieval from various databases including the Internet. We present an object…

Digital Libraries · Computer Science 2021-03-31 V. K. Ivanov

The aim of the paper is to examine the computational complexity and algorithmics of enumeration, the task to output all solutions of a given problem, from the point of view of parameterized complexity. First we define formally different…

Computational Complexity · Computer Science 2013-06-11 Nadia Creignou , Arne Meier , Julian-Steffen Müller , Johannes Schmidt , Heribert Vollmer

Explainable AI (XAI) is widely used to analyze AI systems' decision-making, such as providing counterfactual explanations for recourse. When unexpected explanations occur, users may want to understand the training data properties shaping…

Machine Learning · Computer Science 2025-03-26 André Artelt , Barbara Hammer

Algorithmic systems make decisions that have a great impact in our lives. As our dependency on them is growing so does the need for transparency and holding them accountable. This paper presents a model for evaluating how transparent these…

Computers and Society · Computer Science 2018-07-18 Yiannis Kanellopoulos

This chapter covers different approaches to policy evaluation for assessing the causal effect of a treatment or intervention on an outcome of interest. As an introduction to causal inference, the discussion starts with the experimental…

Econometrics · Economics 2019-10-03 Martin Huber

This paper makes the case for using Shapley value to quantify the importance of random input variables to a function. Alternatives based on the ANOVA decomposition can run into conceptual and computational problems when the input variables…

Statistics Theory · Mathematics 2017-03-22 Art B. Owen , Clémentine Prieur

We consider the problem of expected cost analysis over nondeterministic probabilistic programs, which aims at automated methods for analyzing the resource-usage of such programs. Previous approaches for this problem could only handle…

Programming Languages · Computer Science 2019-03-26 Peixin Wang , Hongfei Fu , Amir Kafshdar Goharshady , Krishnendu Chatterjee , Xudong Qin , Wenjun Shi

Financial derivatives are contracts that can have a complex payoff dependent upon underlying benchmark assets. In this work, we present a quantum algorithm for the Monte Carlo pricing of financial derivatives. We show how the relevant…

Quantum Physics · Physics 2018-08-23 Patrick Rebentrost , Brajesh Gupt , Thomas R. Bromley

Statistical power estimation for studies with multiple model parameters is inherently a multivariate problem. Power for individual parameters of interest cannot be reliably estimated univariately since correlation and variance explained…

Methodology · Statistics 2022-05-25 Ajinkya K Mulay , Sean Lane , Erin Hennes

Variational hybrid quantum-classical algorithms are some of the most promising workloads for near-term quantum computers without error correction. The aim of these variational algorithms is to guide the quantum system to a target state that…

Quantum Physics · Physics 2021-03-18 Shavindra P. Premaratne , A. Y. Matsuura