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In this paper, we present and analyze a new set of low-rank recovery algorithms for linear inverse problems within the class of hard thresholding methods. We provide strategies on how to set up these algorithms via basic ingredients for…

Numerical Analysis · Computer Science 2013-01-15 Anastasios Kyrillidis , Volkan Cevher

The design of general purpose processors relies heavily on a workload gathering step in which representative programs are collected from various application domains. Processor performance, when running the workload set, is profiled using…

Performance · Computer Science 2018-01-05 Elie M. Shaccour , Mohammad M. Mansour

We study machine learning formulations of inductive program synthesis; given input-output examples, we try to synthesize source code that maps inputs to corresponding outputs. Our aims are to develop new machine learning approaches based on…

Machine Learning · Computer Science 2016-08-17 Alexander L. Gaunt , Marc Brockschmidt , Rishabh Singh , Nate Kushman , Pushmeet Kohli , Jonathan Taylor , Daniel Tarlow

We introduce a lazy approach to the explanation-based approximation of probabilistic logic programs. It uses only the most significant part of the program when searching for explanations. The result is a fast and anytime approximate…

Artificial Intelligence · Computer Science 2015-07-13 Joris Renkens , Angelika Kimmig , Luc De Raedt

Inductive logic programming is a type of machine learning in which logic programs are learned from examples. This learning typically occurs relative to some background knowledge provided as a logic program. This dissertation introduces…

Machine Learning · Computer Science 2021-12-24 Brad Hunter

Logically constrained rewrite systems (LCTRSs) are a versatile and efficient rewriting formalism that can be used to model programs from various programming paradigms, as well as simplification systems in compilers and SMT solvers. In this…

Computational Complexity · Computer Science 2020-12-14 Sarah Winkler , Georg Moser

We consider a class of multivariate recurrences frequently arising in the worst case analysis of Davis-Putnam-style exponential time backtracking algorithms for NP-hard problems. We describe a technique for proving asymptotic upper bounds…

Data Structures and Algorithms · Computer Science 2007-05-23 David Eppstein

In this note, we propose a framework for proving computational lower bounds in norm approximation by leveraging a reverse detection--estimation gap. The starting point is a testing problem together with an estimator whose error is…

Statistics Theory · Mathematics 2026-04-07 Runshi Tang , Yuefeng Han , Anru R. Zhang

Parametric Worst-case execution time (WCET) analysis of a sequential program produces a formula that represents the worst-case execution time of the program, where parameters of the formula are user-defined parameters of the program (as…

Programming Languages · Computer Science 2017-10-09 Clément Ballabriga , Julien Forget , Giuseppe Lipari

We present a new method for inferring complexity properties for a class of programs in the form of flowcharts annotated with loop information. Specifically, our method can (soundly and completely) decide if computed values are polynomially…

Programming Languages · Computer Science 2016-07-11 Amir M. Ben-Amram , Aviad Pineles

The theory of asymptotic complexity provides an approach to characterizing the behavior of programs in terms of bounds on the number of computational steps executed or use of computational resources. We describe work using ACL2 to prove…

Computational Complexity · Computer Science 2022-05-25 William D. Young

Research efforts of the past fifty years have led to a development of linear integer programming as a mature discipline of mathematical optimization. Such a level of maturity has not been reached when one considers nonlinear systems subject…

Optimization and Control · Mathematics 2017-01-03 Raymond Hemmecke , Matthias Köppe , Jon Lee , Robert Weismantel

The task of inferring logical formulas from examples has garnered significant attention as a means to assist engineers in creating formal specifications used in the design, synthesis, and verification of computing systems. Among various…

Logic in Computer Science · Computer Science 2025-06-04 Benjamin Bordais , Daniel Neider

Humans can observe a single, imperfect demonstration and immediately generalize to very different problem settings. Robots, in contrast, often require hundreds of examples and still struggle to generalize beyond the training conditions. We…

Robotics · Computer Science 2025-08-13 Ben Zandonati , Tomás Lozano-Pérez , Leslie Pack Kaelbling

Programs with floating-point computations are often derived from mathematical models or designed with the semantics of the real numbers in mind. However, for a given input, the computed path with floating-point numbers may differ from the…

Programming Languages · Computer Science 2016-08-08 Hélène Collavizza , Claude Michel , Michel Rueher

We propose a method for inferring \emph{parameterized regular types} for logic programs as solutions for systems of constraints over sets of finite ground Herbrand terms (set constraint systems). Such parameterized regular types generalize…

Logic in Computer Science · Computer Science 2010-02-16 F. Bueno , J. Navas , M. Hermenegildo

Implicit computational complexity, which aims at characterizing complexity classes by machine-independent means, has traditionally been based, on the one hand, on programs and deductive formalisms for free algebras, and on the other hand on…

Logic in Computer Science · Computer Science 2018-02-12 Daniel Leivant , Jean-Yves Marion

Many probabilistic programming languages allow programs to be run under constraints in order to carry out Bayesian inference. Running programs under constraints could enable other uses such as rare event simulation and probabilistic…

Programming Languages · Computer Science 2015-01-19 Neil Toronto , Jay McCarthy , David Van Horn

Synthesizing programs from examples requires searching over a vast, combinatorial space of possible programs. In this search process, a key challenge is representing the behavior of a partially written program before it can be executed, to…

Programming Languages · Computer Science 2021-04-21 Maxwell Nye , Yewen Pu , Matthew Bowers , Jacob Andreas , Joshua B. Tenenbaum , Armando Solar-Lezama

One recurring problem in program development is that of understanding how to re-use code developed by a third party. In the context of (constraint) logic programming, part of this problem reduces to figuring out how to query a program. If…

Programming Languages · Computer Science 2007-05-23 Andy King , Lunjin Lu