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We present a generalization of first-order unification to a term algebra where variable indexing is part of the object language. We exploit variable indexing by associating some sequences of variables ($X_0,\ X_1,\ X_2,\dots$) with a…

计算机科学中的逻辑 · 计算机科学 2024-03-12 David M. Cerna

Fair machine learning is receiving an increasing attention in machine learning fields. Researchers in fair learning have developed correlation or association-based measures such as demographic disparity, mistreatment disparity, calibration,…

计算机与社会 · 计算机科学 2019-11-20 Wen Huang , Yongkai Wu , Lu Zhang , Xintao Wu

We study the problem of fairly allocating indivisible goods among agents which are equipped with {\em leveled} valuation functions. Such preferences, that have been studied before in economics and fair division literature, capture a simple…

计算机科学与博弈论 · 计算机科学 2025-02-17 George Christodoulou , Vasilis Christoforidis

SMT solvers use sophisticated techniques for polynomial (linear or non-linear) integer arithmetic. In contrast, non-polynomial integer arithmetic has mostly been neglected so far. However, in the context of program verification, polynomials…

计算机科学中的逻辑 · 计算机科学 2025-08-29 Florian Frohn , Jürgen Giesl

We study the problem of efficiently estimating counts for queries involving complex filters, such as user-defined functions, or predicates involving self-joins and correlated subqueries. For such queries, traditional sampling techniques may…

数据库 · 计算机科学 2020-01-01 Brett Walenz , Stavros Sintos , Sudeepa Roy , Jun Yang

Dynamic arrays, also referred to as vectors, are fundamental data structures used in many programs. Modeling their semantics efficiently is crucial when reasoning about such programs. The theory of arrays is widely supported but is not…

计算机科学中的逻辑 · 计算机科学 2022-05-24 Ying Sheng , Andres Nötzli , Andrew Reynolds , Yoni Zohar , David Dill , Wolfgang Grieskamp , Junkil Park , Shaz Qadeer , Clark Barrett , Cesare Tinelli

The influence of class orderings in the evaluation of incremental learning has received very little attention. In this paper, we investigate the impact of class orderings for incrementally learned classifiers. We propose a method to compute…

计算机视觉与模式识别 · 计算机科学 2020-07-08 Marc Masana , Bartłomiej Twardowski , Joost van de Weijer

We provide a primer to numerical methods based on Taylor series expansions such as generalized finite difference methods and collocation methods. We provide a detailed benchmarking strategy for these methods as well as all data files…

Algebraic data types (ADTs) are a construct classically found in functional programming languages that capture data structures like enumerated types, lists, and trees. In recent years, interest in ADTs has increased. For example, popular…

计算机科学中的逻辑 · 计算机科学 2023-10-20 Amar Shah , Federico Mora , Sanjit A. Seshia

Despite the recent progress of automated program verification techniques, fully automated verification of programs manipulating recursive data structures remains a challenge. We introduce solvable tuple patterns (STPs) and conjunctive STPs…

编程语言 · 计算机科学 2026-05-27 Naoki Kobayashi , Ryosuke Sato , Ayumi Shinohara , Ryo Yoshinaka

Algorithms that exploit sort orders are widely used to implement joins, grouping, duplicate elimination and other set operations. Query optimizers traditionally deal with sort orders by using the notion of interesting orders. The number of…

数据库 · 计算机科学 2007-05-23 Ravindra Guravannavar , S Sudarshan , Ajit A Diwan , Ch. Sobhan Babu

Incremental SAT and QBF solving potentially yields improvements when sequences of related formulas are solved. An incremental application is usually tailored towards some specific solver and decomposes a problem into incremental solver…

计算机科学中的逻辑 · 计算机科学 2015-12-04 Uwe Egly , Florian Lonsing , Johannes Oetsch

We consider planning with uncertainty in the initial state as a case study of incremental quantified Boolean formula (QBF) solving. We report on experiments with a workflow to incrementally encode a planning instance into a sequence of…

计算机科学中的逻辑 · 计算机科学 2016-04-05 Uwe Egly , Martin Kronegger , Florian Lonsing , Andreas Pfandler

Rankings are a type of preference elicitation that arise in experiments where assessors arrange items, for example, in decreasing order of utility. Orderings of n items labelled {1,...,n} denoted are permutations that reflect strict…

统计方法学 · 统计学 2024-03-20 Luiza S. C. Piancastelli , Nial Friel

Quantification, i.e., the task of training predictors of the class prevalence values in sets of unlabeled data items, has received increased attention in recent years. However, most quantification research has concentrated on developing…

机器学习 · 计算机科学 2023-10-16 Mirko Bunse , Alejandro Moreo , Fabrizio Sebastiani , Martin Senz

Hamiltonian simulation is believed to be one of the first tasks where quantum computers can yield a quantum advantage. One of the most popular methods of Hamiltonian simulation is Trotterization, which makes use of the approximation…

量子物理 · 物理学 2023-11-09 Lea M. Trenkwalder , Eleanor Scerri , Thomas E. O'Brien , Vedran Dunjko

In the contexts of automated reasoning (AR) and formal verification (FV), important decision problems are effectively encoded into Satisfiability Modulo Theories (SMT). In the last decade efficient SMT solvers have been developed for…

计算机科学中的逻辑 · 计算机科学 2014-10-23 Roberto Sebastiani , Silvia Tomasi

We initiate the study of computing envy-free allocations of indivisible items in the extension setting, i.e., when some part of the allocation is fixed and the task is to allocate the remaining items. Given the known NP-hardness of the…

计算机科学与博弈论 · 计算机科学 2025-03-04 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Tiger-Lily Goldsmith , Stavros D. Ioannidis

The allocation problem for multivariate stratified random sampling as a problem of stochastic matrix integer mathematical programming is considered. With these aims the asymptotic normality of sample covariance matrices for each strata is…

统计理论 · 数学 2011-05-18 Jose A. Diaz-Garcia , Rogelio Ramos-Quiroga

Classifiers and rating scores are prone to implicitly codifying biases, which may be present in the training data, against protected classes (i.e., age, gender, or race). So it is important to understand how to design classifiers and scores…

机器学习 · 计算机科学 2017-10-17 Matt Olfat , Anil Aswani