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NPN classification is an essential problem in the design and verification of digital circuits. Most existing works explored variable symmetries and cofactor signatures to develop their classification methods. However, cofactor signatures…

Computational Complexity · Computer Science 2023-01-31 Jiaxi Zhang , Shenggen Zheng , Liwei Ni , Huawei Li , Guojie Luo

This paper presents a new compact canonical-based algorithm to solve the problem of single-output completely specified NPN Boolean matching. We propose a new signature vector Boolean difference and cofactor (DC) signature vector. Our…

Logic in Computer Science · Computer Science 2017-11-10 Juling Zhang , Guowu Yang , William N. N. Hung , Jinzhao Wu

We exhibit an explicit, deterministic algorithm for finding a canonical form for a positive definite matrix under unimodular integral transformations. We use characteristic sets of short vectors and partition-backtracking graph software.…

Number Theory · Mathematics 2020-11-17 Mathieu Dutour Sikirić , Anna Haensch , John Voight , Wessel P. J. van Woerden

We introduce a quantum neural network, QNN, that can represent labeled data, classical or quantum, and be trained by supervised learning. The quantum circuit consists of a sequence of parameter dependent unitary transformations which acts…

Quantum Physics · Physics 2018-09-03 Edward Farhi , Hartmut Neven

For image classification problems, various neural network models are commonly used due to their success in yielding high accuracies. Convolutional Neural Network (CNN) is one of the most frequently used deep learning methods for image…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Ilkay Sikdokur , Inci Baytas , Arda Yurdakul

Canonicalization is a widely used strategy in equivariant machine learning, enforcing symmetry in neural networks by mapping each input to a standard form. Yet, it often introduces discontinuities that can affect stability during training,…

Machine Learning · Computer Science 2026-04-17 Ya-Wei Eileen Lin , Ron Levie

Prototypical network (PN) is a simple yet effective few shot learning strategy. It is a metric-based meta-learning technique where classification is performed by computing Euclidean distances to prototypical representations of each class.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Ranjana Roy Chowdhury , Deepti R. Bathula

Convolutional neural networks (CNNs) define the current state-of-the-art for image recognition. With their emerging popularity, especially for critical applications like medical image analysis or self-driving cars, confirmability is…

Computer Vision and Pattern Recognition · Computer Science 2018-01-08 Keyang Zhou , Bernhard Kainz

We compare quantum and classical machines designed for learning an N-bit Boolean function in order to address how a quantum system improves the machine learning behavior. The machines of the two types consist of the same number of…

Quantum Physics · Physics 2014-10-15 Seokwon Yoo , Jeongho Bang , Changhyoup Lee , Jinhyoung Lee

An efficient pairwise Boolean matching algorithm to solve the problem of matching single-output specified Boolean functions under input negation and/or input permutation and/or output negation (NPN) is proposed in this paper. We present the…

Data Structures and Algorithms · Computer Science 2017-11-10 Juling Zhang , Guowu Yang , William N. N. Hung , Yan Zhang

Boolean circuit is a computational graph that consists of the dynamic directed graph structure and static functionality. The commonly used logic optimization and Boolean matching-based transformation can change the behavior of the Boolean…

Machine Learning · Computer Science 2024-11-19 Liwei Ni , Xinquan Li , Biwei Xie , Huawei Li

The integration of neural networks into safety-critical systems has shown great potential in recent years. However, the challenge of effectively verifying the safety of Neural Network Controlled Systems (NNCS) persists. This paper…

Logic in Computer Science · Computer Science 2024-03-28 Yuhao Zhou , Stavros Tripakis

Probabilistic power flow (PPF) plays a critical role in power system analysis. However, the high computational burden makes it challenging for the practical implementation of PPF. This paper proposes a model-based deep learning approach to…

Signal Processing · Electrical Eng. & Systems 2019-09-17 Yan Yang , Zhifang Yang , Juan Yu , Baosen Zhang

Label noise in multiclass classification is a major obstacle to the deployment of learning systems. However, unlike the widely used class-conditional noise (CCN) assumption that the noisy label is independent of the input feature given the…

Machine Learning · Computer Science 2021-03-26 Yivan Zhang , Masashi Sugiyama

In many applications, we desire neural networks to exhibit invariance or equivariance to certain groups due to symmetries inherent in the data. Recently, frame-averaging methods emerged to be a unified framework for attaining symmetries…

Machine Learning · Computer Science 2024-11-05 George Ma , Yifei Wang , Derek Lim , Stefanie Jegelka , Yisen Wang

Conformal prediction (CP) is a wrapper around traditional machine learning models, giving coverage guarantees under the sole assumption of exchangeability; in classification problems, for a chosen significance level $\varepsilon$, CP…

Machine Learning · Computer Science 2023-02-23 Javier Abad , Umang Bhatt , Adrian Weller , Giovanni Cherubin

We introduce canonical weight normalization for convolutional neural networks. Inspired by the canonical tensor decomposition, we express the weight tensors in so-called canonical networks as scaled sums of outer vector products. In…

Machine Learning · Computer Science 2022-06-06 Lokesh Veeramacheneni , Moritz Wolter , Reinhard Klein , Jochen Garcke

Image classification is an important task in various machine learning applications. In recent years, a number of classification methods based on quantum machine learning and different quantum image encoding techniques have been proposed. In…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Denny Mattern , Darya Martyniuk , Henri Willems , Fabian Bergmann , Adrian Paschke

We introduce Classification with Alternating Normalization (CAN), a non-parametric post-processing step for classification. CAN improves classification accuracy for challenging examples by re-adjusting their predicted class probability…

Machine Learning · Computer Science 2021-09-29 Menglin Jia , Austin Reiter , Ser-Nam Lim , Yoav Artzi , Claire Cardie

Radio spectrum monitoring in contested environments motivates the need for reliable automatic signal classification technology. Prior work highlights deep learning as a promising approach, but existing models depend on brute-force Doppler…

Signal Processing · Electrical Eng. & Systems 2025-11-19 Avi Bagchi , Dwight Hutchenson
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