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We present a framework for synthesising formulas in first-order logic (FOL) from examples, which unifies and advances state-of-the-art approaches for inference of transition system invariants. To do so, we study and categorise the existing…

Programming Languages · Computer Science 2026-01-08 Ziyi Yang , George Pîrlea , Ilya Sergey

Existing reinforcement learning strategies based on outcome supervision have proven effective in enhancing the performance of large language models(LLMs) for code generation. While reinforcement learning based on process supervision has…

Software Engineering · Computer Science 2025-02-05 Yufan Ye , Ting Zhang , Wenbin Jiang , Hua Huang

Neural stochastic differential equation model with a Brownian motion term can capture epistemic uncertainty of deep neural network from the perspective of a dynamical system. The goal of this paper is to improve the convergence rate of the…

Numerical Analysis · Mathematics 2025-09-09 Daili Sheng , Minghui Song , Xiang Peng , Xuanqi Dong

Given a set of observations generated by an optimization process, the goal of inverse optimization is to determine likely parameters of that process. We cast inverse optimization as a form of deep learning. Our method, called deep inverse…

Machine Learning · Computer Science 2018-12-04 Yingcong Tan , Andrew Delong , Daria Terekhov

Bayesian Filtering for plan and activity recognition is challenging for scenarios that contain many observation equivalent entities (i.e. entities that produce the same observations). This is due to the combinatorial explosion in the number…

Artificial Intelligence · Computer Science 2017-08-15 Max Schröder , Stefan Lüdtke , Sebastian Bader , Frank Krüger , Thomas Kirste

We introduce iterative retrieval, a novel framework that empowers retrievers to make iterative decisions through policy optimization. Finding an optimal portfolio of retrieved items is a combinatorial optimization problem, generally…

Computation and Language · Computer Science 2024-06-24 Yunmo Chen , Tongfei Chen , Harsh Jhamtani , Patrick Xia , Richard Shin , Jason Eisner , Benjamin Van Durme

The goal of this tutorial is to introduce key models, algorithms, and open questions related to the use of optimization methods for solving problems arising in machine learning. It is written with an INFORMS audience in mind, specifically…

Machine Learning · Statistics 2017-07-03 Frank E. Curtis , Katya Scheinberg

Modern program verifiers use logic-based encodings of the verification problem that are discharged by a back end reasoning engine. However, instances of such encodings for large programs can quickly overwhelm these back end solvers. Hence,…

Logic in Computer Science · Computer Science 2016-07-18 Peter Schrammel

Efficiently solving sparse linear systems $Ax=b$, where $A$ is a large, sparse, symmetric positive semi-definite matrix, is a core challenge in scientific computing, machine learning, and optimization. A major bottleneck in Gaussian…

Machine Learning · Computer Science 2025-01-31 Elfarouk Harb , Ho Shan Lam

LearnedSort is a novel sorting algorithm that, unlike traditional methods, uses fast ML models to boost the sorting speed. The models learn to estimate the input's distribution and arrange the keys in sorted order by predicting their…

Data Structures and Algorithms · Computer Science 2021-07-08 Ani Kristo , Kapil Vaidya , Tim Kraska

Logic programs with ordered disjunction (LPODs) combine ideas underlying Qualitative Choice Logic (Brewka et al. KR 2002) and answer set programming. Logic programming under answer set semantics is extended with a new connective called…

Artificial Intelligence · Computer Science 2007-05-23 Gerhard Brewka

The overfitting is one of the cursing subjects in the deep learning field. To solve this challenge, many approaches were proposed to regularize the learning models. They add some hyper-parameters to the model to extend the generalization;…

Machine Learning · Computer Science 2020-05-06 Mohammad Mahdi Bejani , Mehdi Ghatee

Reasoning language models such as DeepSeek-R1 produce long chain-of-thought traces during inference time which make them costly to deploy at scale. We show that using compression techniques such as neural network pruning produces greater…

Artificial Intelligence · Computer Science 2026-05-05 Ryan Lucas , Kayhan Behdin , Zhipeng Wang , Qingquan Song , Shao Tang , Rahul Mazumder

Logic reasoning is a significant ability of human intelligence and also an important task in artificial intelligence. The existing logic reasoning methods, quite often, need to design some reasoning patterns beforehand. This has led to an…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Qian Guo , Yuhua Qian , Xinyan Liang , Yanhong She , Deyu Li , Jiye Liang

Refactoring is a maintenance activity that aims to improve design quality while preserving the behavior of a system. Several (semi)automated approaches have been proposed to support developers in this maintenance activity, based on the…

Software Engineering · Computer Science 2019-05-20 Rodrigo Morales , Foutse Khomh , Giuliano Antoniol

Bayesian approaches developed to solve the optimal design of sequential experiments are mathematically elegant but computationally challenging. Recently, techniques using amortization have been proposed to make these Bayesian approaches…

Machine Learning · Computer Science 2022-06-20 Tom Blau , Edwin V. Bonilla , Iadine Chades , Amir Dezfouli

The ability to precisely derive mathematical objects is a core requirement for downstream STEM applications, including mathematics, physics, and chemistry, where reasoning must culminate in formally structured expressions. Yet, current LM…

This paper proposes new derivations of three well-known sorting algorithms, in their functional formulation. The approach we use is based on three main ingredients: first, the algorithms are derived from a simpler algorithm, i.e. the…

Data Structures and Algorithms · Computer Science 2008-02-27 José Bacelar Almeida , Jorge Sousa Pinto

Fill-ins are new nonzero elements in the summation of the upper and lower triangular factors generated during LU factorization. For large sparse matrices, they will increase the memory usage and computational time, and be reduced through…

Machine Learning · Computer Science 2025-11-13 Ziwei Li , Shuzi Niu , Tao Yuan , Huiyuan Li , Wenjia Wu

Regularization techniques are widely employed in optimization-based approaches for solving ill-posed inverse problems in data analysis and scientific computing. These methods are based on augmenting the objective with a penalty function,…

Optimization and Control · Mathematics 2021-06-08 Yong Sheng Soh , Venkat Chandrasekaran