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We follow up on the idea of Lars Arge to rephrase the Reduce and Apply procedures of Binary Decision Diagrams (BDDs) as iterative I/O-efficient algorithms. We identify multiple avenues to simplify and improve the performance of his proposed…

Data Structures and Algorithms · Computer Science 2026-03-25 Steffan Christ Sølvsten , Jaco van de Pol , Anna Blume Jakobsen , Mathias Weller Berg Thomasen

We extend the external memory BDD package Adiar with support for monotone variable substitution. Doing so, it now supports the relational product operation at the heart of symbolic model checking. We also identify additional avenues for…

Data Structures and Algorithms · Computer Science 2025-05-19 Steffan Christ Sølvsten , Jaco van de Pol

The BDD package Adiar manipulates Binary Decision Diagrams (BDDs) in external memory. This enables handling big BDDs, but the performance suffers when dealing with moderate-sized BDDs. This is mostly due to initializing expensive external…

Data Structures and Algorithms · Computer Science 2025-05-21 Steffan Christ Sølvsten , Jaco van de Pol

Parallelization and External Memory (PEM) techniques have significantly enhanced the capabilities of search algorithms when solving large-scale problems. Previous research on PEM has primarily centered on unidirectional algorithms, with…

Artificial Intelligence · Computer Science 2025-01-06 Lior Siag , Shahaf S. Shperberg , Ariel Felner , Nathan R. Sturtevant

This paper introduces new technique for efficient calculation of different Shannon information measures which operates Binary Decision Diagrams (BDDs). We offer an algorithm of BDD reordering which demonstrates the improvement of the…

Other Computer Science · Computer Science 2007-10-15 Denis V. Popel

Deep neural networks have significantly improved performance on a range of tasks with the increasing demand for computational resources, leaving deployment on low-resource devices (with limited memory and battery power) infeasible. Binary…

Machine Learning · Computer Science 2022-06-22 Aaqib Saeed

BDDs are representations of a Boolean expression in the form of a directed acyclic graph. BDDs are widely used in several fields, particularly in model checking and hardware verification. There are several implementations for BDD…

Logic in Computer Science · Computer Science 2023-05-02 Luigi Capogrosso , Luca Geretti , Marco Cristani , Franco Fummi , Tiziano Villa

External sorting is at the core of many operations in large-scale database systems, such as ordering and aggregation queries for large result sets, building indexes, sort-merge joins, duplicate removal, sharding, and record clustering.…

Databases · Computer Science 2023-05-11 Ani Kristo , Tim Kraska

To prepare images for better segmentation, we need preprocessing applications, such as smoothing, to reduce noise. In this paper, we present an enhanced computation method for smoothing 2D object in binary case. Unlike existing approaches,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-31 Ramzi Mahmoudi , Mohamed Akil

In this paper, we perform an empirical evaluation of the Parallel External Memory (PEM) model in the context of geometric problems. In particular, we implement the parallel distribution sweeping framework of Ajwani, Sitchinava and Zeh to…

Data Structures and Algorithms · Computer Science 2013-06-20 Deepak Ajwani , Nodari Sitchinava

Binary Decision Diagrams (BDDs) are instrumental in many electronic design automation (EDA) tasks thanks to their compact representation of Boolean functions. In BDD-based reversible-circuit synthesis, which is critical for quantum…

Hardware Architecture · Computer Science 2025-11-12 Mingkai Miao , Jianheng Tang , Guangyu Hu , Hongce Zhang

Verifying and explaining the behavior of neural networks is becoming increasingly important, especially when they are deployed in safety-critical applications. In this paper, we study verification problems for Binarized Neural Networks…

Machine Learning · Computer Science 2021-03-15 Yedi Zhang , Zhe Zhao , Guangke Chen , Fu Song , Taolue Chen

We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline an algorithm whose I/O requirement is close to a lower bound. Thus, in contrast to…

Data Structures and Algorithms · Computer Science 2009-10-15 Mirko Rahn , Peter Sanders , Johannes Singler

Binary neural networks have attracted numerous attention in recent years. However, mainly due to the information loss stemming from the biased binarization, how to preserve the accuracy of networks still remains a critical issue. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-02-12 Mingzhu Shen , Xianglong Liu , Ruihao Gong , Kai Han

We propose a dual dynamic integer programming (DDIP) framework for solving multi-scale mixed-integer model predictive control (MPC) problems. Such problems arise in applications that involve long horizons and/or fine temporal…

Optimization and Control · Mathematics 2020-07-21 Ranjeet Kumar , Michael J. Wenzel , Mohammad N. ElBsat , Michael J. Risbeck , Kirk H. Drees , Victor M. Zavala

We solve the analysis sparse coding problem considering a combination of convex and non-convex sparsity promoting penalties. The multi-penalty formulation results in an iterative algorithm involving proximal-averaging. We then unfold the…

We present BigSparse, a fully external graph analytics system that picks up where semi-external systems like FlashGraph and X-Stream, which only store vertex data in memory, left off. BigSparse stores both edge and vertex data in an array…

Databases · Computer Science 2017-10-24 Sang-Woo Jun , Andy Wright , Sizhuo Zhang , Shuotao Xu , Arvind

Traditional network embedding primarily focuses on learning a continuous vector representation for each node, preserving network structure and/or node content information, such that off-the-shelf machine learning algorithms can be easily…

Social and Information Networks · Computer Science 2023-01-02 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

A quantifier is a supervised machine learning algorithm, focused on estimating the class prevalence in a dataset rather than labeling its individual observations. We introduce Continuous Sweep, a new parametric binary quantifier inspired by…

Machine Learning · Statistics 2024-10-14 Kevin Kloos , Julian D. Karch , Quinten A. Meertens , Mark de Rooij

Applications of Binary Neural Networks (BNNs) are promising for embedded systems with hard constraints on computing power. Contrary to conventional neural networks with the floating-point datatype, BNNs use binarized weights and activations…

Emerging Technologies · Computer Science 2022-11-14 Mahdi Zahedi , Taha Shahroodi , Stephan Wong , Said Hamdioui
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