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A typical way of analyzing the time complexity of functional programs is to extract a recurrence expressing the running time of the program in terms of the size of its input, and then to solve the recurrence to obtain a big-O bound. For…

Programming Languages · Computer Science 2020-08-03 Joseph W. Cutler , Daniel R. Licata , Norman Danner

Organizational, political, and configuration mistakes in the deployment of a static source code analysis tool within a software development organization can result in most of the value of the tool being lost, even while apparently meeting…

Software Engineering · Computer Science 2022-03-01 Flash Sheridan

In this paper we introduce RankPL, a modeling language that can be thought of as a qualitative variant of a probabilistic programming language with a semantics based on Spohn's ranking theory. Broadly speaking, RankPL can be used to…

Artificial Intelligence · Computer Science 2017-05-23 Tjitze Rienstra

We present a new approach to termination analysis of logic programs. The essence of the approach is that we make use of general term-orderings (instead of level mappings), like it is done in transformational approaches to logic program…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

In some contexts, well-formed natural language cannot be expected as input to information or communication systems. In these contexts, the use of grammar-independent input (sequences of uninflected semantic units like e.g.…

Computation and Language · Computer Science 2007-05-23 Pascal Vaillant

When the underlying conditional density is known, conditional expectations can be computed analytically or numerically. When, however, such knowledge is not available and instead we are given a collection of training data, the goal of this…

Machine Learning · Statistics 2024-07-19 George V. Moustakides

Parameter learning is a crucial task in the field of Statistical Relational Artificial Intelligence: given a probabilistic logic program and a set of observations in the form of interpretations, the goal is to learn the probabilities of the…

Artificial Intelligence · Computer Science 2025-01-22 Damiano Azzolini , Elisabetta Gentili , Fabrizio Riguzzi

We present a solution to an optimal stopping problem for a process with a wide-class of novel dynamics. The dynamics model the support/resistance line concept from financial technical analysis.

Mathematical Finance · Quantitative Finance 2020-03-30 Jun Maeda , Saul D. Jacka

This text discusses several popular explanatory methods that go beyond the error measurements and plots traditionally used to assess machine learning models. Some of the explanatory methods are accepted tools of the trade while others are…

Machine Learning · Statistics 2020-06-02 Patrick Hall

We introduce the first probabilistic framework tailored for sequential random projection, an approach rooted in the challenges of sequential decision-making under uncertainty. The analysis is complicated by the sequential dependence and…

Statistics Theory · Mathematics 2024-05-14 Yingru Li

We study a fundamental stochastic selection problem involving $n$ independent random variables, each of which can be queried at some cost. Given a tolerance level $\delta$, the goal is to find a value that is $\delta$-approximately minimum…

Data Structures and Algorithms · Computer Science 2025-04-25 Hessa Al-Thani , Viswanath Nagarajan

Regular cost functions have been introduced recently as an extension to the notion of regular languages with counting capabilities, which retains strong closure, equivalence, and decidability properties. The specificity of cost functions is…

Logic in Computer Science · Computer Science 2017-02-09 Denis Kuperberg

In this paper we discuss how semantic annotations can be used to introduce mathematical algorithmic information of the underlying imperative code to enable compilers to produce code transformations that will enable better performance. By…

Programming Languages · Computer Science 2016-03-14 Daniel Rubio Bonilla , Colin W. Glass , Jan Kuper

We study probabilistic team semantics which is a semantical framework allowing the study of logical and probabilistic dependencies simultaneously. We examine and classify the expressive power of logical formalisms arising by different…

Logic in Computer Science · Computer Science 2019-02-26 Miika Hannula , Åsa Hirvonen , Juha Kontinen , Vadim Kulikov , Jonni Virtema

We show that a subclass of infinite-state probabilistic programs that can be modeled by probabilistic one-counter automata (pOC) admits an efficient quantitative analysis. In particular, we show that the expected termination time can be…

Formal Languages and Automata Theory · Computer Science 2011-02-15 Tomas Brazdil , Stefan Kiefer , Antonin Kucera

The problem of estimating the probability of a random process reaching a certain level is well known. In this article, two-sided estimates are established for the probability that a regenerative process reaches a high level. Two auxiliary…

Probability · Mathematics 2025-10-29 Kateryna Akbash , Ivan Matsak , Oleg Zakusylo

Choice constructs are an important part of the language of logic programming, yet the study of their semantics has been a challenging task. So far, only two-valued semantics have been studied, and the different proposals for such semantics…

Artificial Intelligence · Computer Science 2024-08-01 Jesse Heyninck

We extend conformal prediction to control the expected value of any monotone loss function. The algorithm generalizes split conformal prediction together with its coverage guarantee. Like conformal prediction, the conformal risk control…

Methodology · Statistics 2025-06-17 Anastasios N. Angelopoulos , Stephen Bates , Adam Fisch , Lihua Lei , Tal Schuster

We study the risk-sensitive exponential cost MDP formulation and develop a trajectory-based gradient algorithm to find the stationary point of the cost associated with a set of parameterized policies. We derive a formula that can be used to…

Systems and Control · Electrical Eng. & Systems 2022-08-31 Mehrdad Moharrami , Yashaswini Murthy , Arghyadip Roy , R. Srikant

In this paper, we present approximation algorithms for combinatorial optimization problems under probabilistic constraints. Specifically, we focus on stochastic variants of two important combinatorial optimization problems: the k-center…

Data Structures and Algorithms · Computer Science 2008-09-03 Shipra Agrawal , Amin Saberi , Yinyu Ye