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We propose an algorithm for solving bound-constrained mathematical programs with complementarity constraints on the variables. Each iteration of the algorithm involves solving a linear program with complementarity constraints in order to…

Optimization and Control · Mathematics 2022-01-14 Christian Kirches , Jeffrey Larson , Sven Leyffer , Paul Manns

Neural networks (NN) perform well in diverse tasks, but sometimes produce nonsensical results to humans. Most NN models "solely" learn from (input, output) pairs, occasionally conflicting with human knowledge. Many studies indicate…

Machine Learning · Computer Science 2024-08-22 Mooho Song , Jay-Yoon Lee

This paper presents a general framework to integrate prior knowledge in the form of logic constraints among a set of task functions into kernel machines. The logic propositions provide a partial representation of the environment, in which…

Machine Learning · Computer Science 2024-02-19 Michelangelo Diligenti , Marco Gori , Marco Maggini , Leonardo Rigutini

We integrate integrity constraints to stableKanren to enable a new problem-solving paradigm in combinatorial search problems. stableKanren extends miniKanren to reasoning about contradictions under stable model semantics. However, writing…

Programming Languages · Computer Science 2024-08-30 Xiangyu Guo , Ajay Bansal

Aiming to find a program satisfying the user intent given input-output examples, program synthesis has attracted increasing interest in the area of machine learning. Despite the promising performance of existing methods, most of their…

Machine Learning · Computer Science 2022-05-18 Di Huang , Rui Zhang , Xing Hu , Xishan Zhang , Pengwei Jin , Nan Li , Zidong Du , Qi Guo , Yunji Chen

Block-based visual programming environments play an increasingly important role in introducing computing concepts to K-12 students. In recent years, they have also gained popularity in neuro-symbolic AI, serving as a benchmark to evaluate…

Artificial Intelligence · Computer Science 2023-05-30 Alperen Tercan , Ahana Ghosh , Hasan Ferit Eniser , Maria Christakis , Adish Singla

We propose a method for efficiently incorporating constraints into a stochastic gradient Langevin framework for the training of deep neural networks. Constraints allow direct control of the parameter space of the model. Appropriately…

Machine Learning · Computer Science 2021-06-22 Benedict Leimkuhler , Timothée Pouchon , Tiffany Vlaar , Amos Storkey

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

This article presents resource-guided synthesis, a technique for synthesizing recursive programs that satisfy both a functional specification and a symbolic resource bound. The technique is type-directed and rests upon a novel type system…

Programming Languages · Computer Science 2019-04-19 Tristan Knoth , Di Wang , Nadia Polikarpova , Jan Hoffmann

Program synthesis with language models (LMs) has unlocked a large set of reasoning abilities; code-tuned LMs have proven adept at generating programs that solve a wide variety of algorithmic symbolic manipulation tasks (e.g. word…

Computation and Language · Computer Science 2024-11-05 Nathaniel Weir , Muhammad Khalifa , Linlu Qiu , Orion Weller , Peter Clark

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

Numerical Analysis · Mathematics 2020-02-26 Kailai Xu , Eric Darve

Neural inductive program synthesis is a task generating instructions that can produce desired outputs from given inputs. In this paper, we focus on the generation of a chunk of assembly code that can be executed to match a state change…

Machine Learning · Computer Science 2019-10-15 Yifan Xu , Lu Dai , Udaikaran Singh , Kening Zhang , Zhuowen Tu

We propose a framework for solving evolution equations within parametric function classes, especially ones that are specified by neural networks. We call this framework the minimal neural evolution (MNE) because it is motivated by the goal…

Numerical Analysis · Mathematics 2025-02-07 Michael Lindsey

An integral image is one of the most efficient optimization technique for image processing. However an integral image is only a special case of delayed stream or memoization. This research discusses generalizing concept of integral image…

Computer Vision and Pattern Recognition · Computer Science 2014-03-18 Hirotaka Niitsuma

We consider the problem of generating automatic code given sample input-output pairs. We train a neural network to map from the current state and the outputs to the program's next statement. The neural network optimizes multiple tasks…

Machine Learning · Computer Science 2019-01-23 Amit Zohar , Lior Wolf

This work addresses the accurate and efficient simulation of physical phenomena governed by parametric Partial Differential Equations (PDEs) characterized by varying boundary conditions, where parametric instances modify not only the…

Numerical Analysis · Mathematics 2026-03-10 Francesco Della Santa , Sandra Pieraccini , Maria Strazzullo

Fully automatic worst-case complexity analysis has a number of applications in computer-assisted program manipulation. A classical and powerful approach to complexity analysis consists in formally deriving, from the program syntax, a set of…

Mathematical Software · Computer Science 2007-05-23 Roberto Bagnara , Andrea Pescetti , Alessandro Zaccagnini , Enea Zaffanella

Synthesizing a program that realizes a logical specification is a classical problem in computer science. We examine a particular type of program synthesis, where the objective is to synthesize a strategy that reacts to a potentially…

Artificial Intelligence · Computer Science 2020-01-01 Alberto Camacho , Sheila A. McIlraith

Graphical models are widely used in science to represent joint probability distributions with an underlying conditional dependence structure. The inverse problem of learning a discrete graphical model given i.i.d samples from its joint…

Machine Learning · Computer Science 2020-12-24 Abhijith J. , Andrey Y. Lokhov , Sidhant Misra , Marc Vuffray

Many problems in operations research require that constraints be specified in the model. Determining the right constraints is a hard and laborsome task. We propose an approach to automate this process using artificial intelligence and…

Artificial Intelligence · Computer Science 2018-05-30 Mohit Kumar , Stefano Teso , Luc De Raedt