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In this paper, we introduce methods of encoding propositional logic programs in vector spaces. Interpretations are represented by vectors and programs are represented by matrices. The least model of a definite program is computed by…

Artificial Intelligence · Computer Science 2018-11-29 Chiaki Sakama , Hien D. Nguyen , Taisuke Sato , Katsumi Inoue

This paper is a short tutorial introduction to online partial evaluation. We show how to write a simple online partial evaluator for a simple, pure, first-order, functional programming language. In particular, we show that the partial…

Programming Languages · Computer Science 2011-09-06 William R. Cook , Ralf Lämmel

In this paper, we propose a new paradigm for program optimization which is based on aggressive aggregation, i.e., on a partial evaluation-based decomposition of acyclic program fragments into a pair of computationally optimal structures: an…

Programming Languages · Computer Science 2019-12-25 Frederik Gossen , Marc Jasper , Alnis Murtovi , Bernhard Steffen

The Partial Integral Equation (PIE) framework was developed to computationally analyze linear Partial Differential Equations (PDEs) where the PDE is first converted to a PIE and then the analysis problem is solved by solving operator-valued…

Numerical Analysis · Mathematics 2022-04-04 Sachin Shivakumar , Matthew Peet

The paper presents an experiment of solving word equations via specialization of a configuration WE(R,E), where the program WE can be considered as an interpreter testing whether a composition of substitutions R produces a solution of a…

Programming Languages · Computer Science 2021-06-22 Antonina Nepeivoda

We present a new Partial Integral Equation (PIE) representation of Partial Differential Equations (PDEs) in which it is possible to use convex optimization to perform stability analysis with little or no conservatism. The first result gives…

Analysis of PDEs · Mathematics 2020-09-14 Matthew M. Peet

We present Adjacent Possible Exploration (APE), a selective fine-tuning method for adapting large language models that systematically explores parameter modifications while maintaining model stability. Inspired by evolutionary optimization…

Computation and Language · Computer Science 2025-06-10 Javier Marín

This paper introduces a simple efficient learning algorithms for general sequential decision making. The algorithm combines Optimism for exploration with Maximum Likelihood Estimation for model estimation, which is thus named OMLE. We prove…

Machine Learning · Computer Science 2022-11-24 Qinghua Liu , Praneeth Netrapalli , Csaba Szepesvári , Chi Jin

In reinforcement learning, distributional off-policy evaluation (OPE) focuses on estimating the return distribution of a target policy using offline data collected under a different policy. This work focuses on extending the widely used…

Machine Learning · Statistics 2025-10-21 Sungee Hong , Jiayi Wang , Zhengling Qi , Raymond K. W. Wong

We introduce Post-Optimization Model Edit (POME), a new algorithm that enhances the performance of fine-tuned large language models using only their pretrained and fine-tuned checkpoints, without requiring extra data or further…

Machine Learning · Computer Science 2025-10-09 Yong Liu , Di Fu , Yang Luo , Zirui Zhu , Minhao Cheng , Cho-Jui Hsieh , Yang You

This work presents a novel approach to Automatic Post-Editing (APE) and Word-Level Quality Estimation (QE) using ensembles of specialized Neural Machine Translation (NMT) systems. Word-level features that have proven effective for QE are…

Computation and Language · Computer Science 2017-07-18 Chris Hokamp

This paper introduces Presto, a symbolic partial evaluator for Maude's rewriting logic theories that can improve system analysis and verification. In Presto, the automated optimization of a conditional rewrite theory R (whose rules define…

Logic in Computer Science · Computer Science 2021-12-21 María Alpuente , Demis Ballis , Santiago Escobar , Julia Sapiña

We propose Partially Interpretable Estimators (PIE) which attribute a prediction to individual features via an interpretable model, while a (possibly) small part of the PIE prediction is attributed to the interaction of features via a…

Machine Learning · Computer Science 2021-05-07 Tong Wang , Jingyi Yang , Yunyi Li , Boxiang Wang

We describe a technique for systematic testing of multi-threaded programs. We combine Quasi-Optimal Partial-Order Reduction, a state-of-the-art technique that tackles path explosion due to interleaving non-determinism, with symbolic…

Programming Languages · Computer Science 2020-07-23 Daniel Schemmel , Julian Büning , César Rodríguez , David Laprell , Klaus Wehrle

Monads can be interpreted as encoding formal expressions, or formal operations in the sense of universal algebra. We give a construction which formalizes the idea of "evaluating an expression partially": for example, "2+3" can be obtained…

Category Theory · Mathematics 2021-04-20 Tobias Fritz , Paolo Perrone

Differential-elimination algorithms apply a finite number of differentiations and eliminations to systems of partial differential equations. For systems that are polynomially nonlinear with rational number coefficients, they guarantee the…

Symbolic Computation · Computer Science 2024-10-17 Siyuan Deng , Michelle Hatzel , Gregory Reid , Wenqiang Yang , Wenyuan Wu

We classify programming languages according to evaluation order: each language fixes one evaluation order as the default, making it transparent to program in that evaluation order, and troublesome to program in the other. This paper…

Programming Languages · Computer Science 2020-08-25 Jana Dunfield

A template-based generic programming approach was presented in a previous paper that separates the development effort of programming a physical model from that of computing additional quantities, such as derivatives, needed for embedded…

Mathematical Software · Computer Science 2012-05-18 Roger P. Pawlowski , Eric T. Phipps , Andrew G. Salinger , Steven J. Owen , Christopher M. Siefert , Matthew L. Staten

Viewing optimization methods as numerical integrators for ordinary differential equations (ODEs) provides a thought-provoking modern framework for studying accelerated first-order optimizers. In this literature, acceleration is often…

Optimization and Control · Mathematics 2021-02-24 Peiyuan Zhang , Antonio Orvieto , Hadi Daneshmand , Thomas Hofmann , Roy Smith

Partial differential equations (PDEs) are among the most universal and parsimonious descriptions of natural physical laws, capturing a rich variety of phenomenology and multi-scale physics in a compact and symbolic representation. This…

Machine Learning · Computer Science 2023-03-31 Steven L. Brunton , J. Nathan Kutz
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