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Earlier versions proposed Graded Projection Recursion (GPR) as a deterministic packed-recursion framework for model-honest near-quadratic dense matrix multiplication. This revised version withdraws the exact dense matrix multiplication…

Computational Complexity · Computer Science 2026-05-12 Jeffrey Uhlmann

We propose trace abstraction modulo probability, a proof technique for verifying high-probability accuracy guarantees of probabilistic programs. Our proofs overapproximate the set of program traces using failure automata, finite-state…

Programming Languages · Computer Science 2018-10-31 Calvin Smith , Justin Hsu , Aws Albarghouthi

Causal abstractions allow us to relate causal models on different levels of granularity. To ensure that the models agree on cause and effect, frameworks for causal abstractions define notions of consistency. Two distinct methods for causal…

Artificial Intelligence · Computer Science 2025-03-17 Willem Schooltink , Fabio Massimo Zennaro

We consider a sequence of successively more restrictive definitions of abstraction for causal models, starting with a notion introduced by Rubenstein et al. (2017) called exact transformation that applies to probabilistic causal models,…

Artificial Intelligence · Computer Science 2019-07-11 Sander Beckers , Joseph Y. Halpern

Implicit arguments, which cannot be detected solely through syntactic cues, make it harder to extract predicate-argument tuples. We present a new model for implicit argument prediction that draws on reading comprehension, casting the…

Computation and Language · Computer Science 2018-11-09 Pengxiang Cheng , Katrin Erk

Control-flow refinement refers to program transformations whose purpose is to make implicit control-flow explicit, and is used in the context of program analysis to increase precision. Several techniques have been suggested for different…

Programming Languages · Computer Science 2019-08-01 Jesús J. Doménech , John P. Gallagher , Samir Genaim

Neural networks are hypothesized to implement interpretable causal mechanisms, yet verifying this requires finding a causal abstraction -- a simpler, high-level Structural Causal Model (SCM) faithful to the network under interventions.…

Machine Learning · Computer Science 2026-03-02 Amir Asiaee

Working with causal models at different levels of abstraction is an important feature of science. Existing work has already considered the problem of expressing formally the relation of abstraction between causal models. In this paper, we…

Artificial Intelligence · Computer Science 2022-08-02 Fabio Massimo Zennaro , Paolo Turrini , Theodoros Damoulas

We make the interprecision transfers explicit in an algorithmic description of iterative refinement and obtain new insights into the algorithm. One example is the classic variant of iterative refinement where the matrix and the…

Numerical Analysis · Mathematics 2024-07-02 C. T. Kelley

A novel explainable AI method called CLEAR Image is introduced in this paper. CLEAR Image is based on the view that a satisfactory explanation should be contrastive, counterfactual and measurable. CLEAR Image explains an image's…

Computer Vision and Pattern Recognition · Computer Science 2022-06-10 Adam White , Kwun Ho Ngan , James Phelan , Saman Sadeghi Afgeh , Kevin Ryan , Constantino Carlos Reyes-Aldasoro , Artur d'Avila Garcez

Fairness-aware recommendation eliminates discrimination issues to build trustworthy recommendation systems.Explaining the causes of unfair recommendations is critical, as it promotes fairness diagnostics, and thus secures users' trust in…

Information Retrieval · Computer Science 2023-07-11 Xiangmeng Wang , Qian Li , Dianer Yu , Qing Li , Guandong Xu

This article presents an identification methodology to capture general relationships, with application to piecewise nonlinear approximations of model predictive control for constrained (non)linear systems. The mathematical formulation…

Optimization and Control · Mathematics 2017-01-06 Van-Vuong Trinh , Mazen Alamir , Patrick Bonnay

We study instantiated abstract argumentation frames of the form $(S,R,I)$, where $(S,R)$ is an abstract argumentation frame and where the arguments $x$ of $S$ are instantiated by $I(x)$ as well formed formulas of a well known logic, for…

Artificial Intelligence · Computer Science 2015-04-28 D. M. Gabbay

This dissertation introduces executable refinement types, which refine structural types by semi-decidable predicates, and establishes their metatheory and accompanying implementation techniques. These results are useful for undecidable type…

Programming Languages · Computer Science 2014-03-14 Kenneth Knowles

Abstraction is crucial for effective sequential decision making in domains with large state spaces. In this work, we propose an information bottleneck method for learning approximate bisimulations, a type of state abstraction. We use a deep…

Machine Learning · Computer Science 2021-01-12 Ondrej Biza , Robert Platt , Jan-Willem van de Meent , Lawson L. S. Wong

Graphs and graph transformation systems are a frequently used modelling technique for a wide range of different domains, cover- ing areas as diverse as refactorings, network topologies or reconfigurable software. Being a formal method,…

Programming Languages · Computer Science 2015-03-17 Dominik Steenken , Heike Wehrheim , Daniel Wonisch

We present a class of algorithms for state estimation in nonlinear, non-Gaussian state-space models. Our approach is based on a variational Lagrangian formulation that casts Bayesian inference as a sequence of entropic trust-region updates…

Machine Learning · Computer Science 2025-11-20 Hany Abdulsamad , Ángel F. García-Fernández , Simo Särkkä

The size-change abstraction (SCA) is an important program abstraction for termination analysis, which has been successfully implemented in many tools for functional and logic programs. In this paper, we demonstrate that SCA is also a highly…

Programming Languages · Computer Science 2015-03-20 Florian Zuleger , Sumit Gulwani , Moritz Sinn , Helmut Veith

Autoregressive (AR) image generators offer a language-model-friendly approach to image generation by predicting discrete image tokens in a causal sequence. However, unlike diffusion models, AR models lack a mechanism to refine previous…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Cheng Cheng , Lin Song , Di An , Yicheng Xiao , Xuchong Zhang , Hongbin Sun , Ying Shan

We provide first the functional analysis background required for reduced order modeling and present the underlying concepts of reduced basis model reduction. The projection-based model reduction framework under affinity assumptions,…

Numerical Analysis · Mathematics 2023-08-30 Gianluigi Rozza , Martin Hess , Giovanni Stabile , Marco Tezzele , Francesco Ballarin
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