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Fast Exact NPN Classification by Co-Designing Canonical Form and Its Computation Algorithm

IEEE transactions on computers, 2020
NPN classification of Boolean functions is a powerful technique used in many practical applications, including logic synthesis, technology mapping, architecture exploration, circuit restructuring, and approximate logic synthesis.
Xuegong Zhou, Lingli Wang, A. Mishchenko
semanticscholar   +1 more source

Boosting scene character recognition by learning canonical forms of glyphs

International Journal on Document Analysis and Recognition, 2019
As one of the fundamental problems in document analysis, scene character recognition has attracted considerable interests in recent years. But the problem is still considered to be extremely challenging due to many uncontrollable factors including glyph ...
Yizhi Wang   +3 more
semanticscholar   +1 more source

The study of the canonical forms of Killing tensor in vacuum with Λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\La

General Relativity and Gravitation
This paper is the initial part of a comprehensive study of spacetimes that admit the canonical forms of Killing tensor in General Relativity. The general scope of the study is to derive either new exact solutions of Einstein’s equations that exhibit ...
D. Kokkinos, T. Papakostas
semanticscholar   +1 more source

On the canonical forms of QRT mappings and discrete Painlevé equations

Journal of Physics A: Mathematical and Theoretical, 2018
We derive systematically the canonical forms of the Quispel–Roberts–Thompson (QRT) mappings and obtain two new forms which were absent in the previous classifications. They correspond to what, in QRT parlance are called, asymmetric mappings.
A. Ramani   +3 more
semanticscholar   +1 more source

Laplacian Regularized Kernel Canonical Correlation Ensemble for Remote Sensing Image Classification

IEEE Geoscience and Remote Sensing Letters, 2019
Kernel canonical correlation analysis (KCCA) is an efficient dimensionality reduction tool in the application of remote sensing image classification. However, it suffers from the problem of parametric sensitivity since a single kernel is used.
Xiang-jun Shen   +5 more
semanticscholar   +1 more source

A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space

Geometriae Dedicata, 2011
We provide an effective ramification theorem for the ratio of canonical forms of a weakly complete flat front in the hyperbolic three-space. Moreover we give the two applications of this theorem, the first one is to show an analogue of the Ahlfors ...
Y. Kawakami
semanticscholar   +1 more source

From Embeddings to Equations: Genetic-Programming Surrogates for Interpretable Transformer Classification

arXiv.org
We study symbolic surrogate modeling of frozen Transformer embeddings to obtain compact, auditable classifiers with calibrated probabilities. For five benchmarks (SST2G, 20NG, MNIST, CIFAR10, MSC17), embeddings from ModernBERT, DINOv2, and SigLIP are ...
M. S. Khorshidi   +5 more
semanticscholar   +1 more source

Canonical Forms for Operation Tables of Finite Connected Quandles

, 2011
We introduce a notion of natural orderings of elements of connected finite quandles. Let Q be such a quandle of order n. Any automophism on Q is a natural ordering when the elements are already ordered naturally.
Chuichiro Hayashi
semanticscholar   +1 more source

Six‐dimensional complex solvmanifolds with non‐invariant trivializing sections of their canonical bundle

Mathematische Nachrichten
It is known that there exist complex solvmanifolds (Γ∖G,J)$(\Gamma \backslash G,J)$ whose canonical bundle is trivialized by a holomorphic section that is not invariant under the action of G$G$ .
A. Tolcachier
semanticscholar   +1 more source

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