In this paper we present a framework for the design and implementation of offset equivariant networks, that is, neural networks that preserve in their output uniform increments in the input. In a suitable color space this kind of networks achieves equivariance with respect to the photometric transformations that characterize changes in the lighting conditions. We verified the framework on three different problems: image recognition, illuminant estimation, and image inpainting. Our experiments show that the performance of offset equivariant networks are comparable to those in the state of the art on regular data. Differently from conventional networks, however, equivariant networks do behave consistently well when the color of the illuminant changes. (C) 2022 Elsevier B.V. All rights reserved.
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页码:110 / 119
页数:10
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Warde-Farley D., 2013, INT C MACH LEARN ATL, P1319
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Hangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Yan, Chenggang
;
Meng, Lixuan
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Shandong Univ, 180 Wenhua Western Rd, Weihai, Shandong, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Meng, Lixuan
;
Li, Liang
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Chinese Acad Sci, Inst Comp Technol, 6 Kexueyuan South Rd, Beijing, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Li, Liang
;
Zhang, Jiehua
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Hangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Zhang, Jiehua
;
Wang, Zhan
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Moreal Pte Ltd, 20 LORONG 35 GEYLANG,03-08, Singapore, SingaporeHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Wang, Zhan
;
Yin, Jian
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Shandong Univ, 180 Wenhua Western Rd, Weihai, Shandong, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Yin, Jian
;
Zhang, Jiyong
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Hangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Zhang, Jiyong
;
Sun, Yaoqi
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Hangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Sun, Yaoqi
;
Zheng, Bolun
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Hangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
机构:
Shandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Hangzhou Dianzi Univ, Dept Automat, Hangzhou 310018, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Yan, Chenggang
;
Hao, Yiming
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Shandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Hao, Yiming
;
Li, Liang
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Chinese Acad Sci, Inst Comp Technol, Beijing 100190, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Li, Liang
;
Yin, Jian
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Shandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Yin, Jian
;
Liu, Anan
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Tianjin Univ, Sch Elect & Informat Engn, Tianjin 300072, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Liu, Anan
;
Mao, Zhendong
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Univ Sci & Technol China, Sch Informat Sci & Technol, Hefei 230052, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Mao, Zhendong
;
Chen, Zhenyu
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State Grid Corp China, Big Data Ctr, Beijing 100031, Peoples R China
China Elect Power Res Inst, Beijing 100192, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Chen, Zhenyu
;
Gao, Xingyu
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Chinese Acad Sci, Inst Microelect, Beijing 100029, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
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Hangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Yan, Chenggang
;
Meng, Lixuan
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h-index: 0
机构:
Shandong Univ, 180 Wenhua Western Rd, Weihai, Shandong, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Meng, Lixuan
;
Li, Liang
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Chinese Acad Sci, Inst Comp Technol, 6 Kexueyuan South Rd, Beijing, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Li, Liang
;
Zhang, Jiehua
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机构:
Hangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Zhang, Jiehua
;
Wang, Zhan
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机构:
Moreal Pte Ltd, 20 LORONG 35 GEYLANG,03-08, Singapore, SingaporeHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Wang, Zhan
;
Yin, Jian
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机构:
Shandong Univ, 180 Wenhua Western Rd, Weihai, Shandong, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Yin, Jian
;
Zhang, Jiyong
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Hangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Zhang, Jiyong
;
Sun, Yaoqi
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Hangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
Sun, Yaoqi
;
Zheng, Bolun
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Hangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R ChinaHangzhou Dianzi Univ, 280 Xuelin Rd, Hangzhou, Zhejiang, Peoples R China
机构:
Shandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Hangzhou Dianzi Univ, Dept Automat, Hangzhou 310018, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Yan, Chenggang
;
Hao, Yiming
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机构:
Shandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Hao, Yiming
;
Li, Liang
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h-index: 0
机构:
Chinese Acad Sci, Inst Comp Technol, Beijing 100190, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Li, Liang
;
Yin, Jian
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h-index: 0
机构:
Shandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Yin, Jian
;
Liu, Anan
论文数: 0引用数: 0
h-index: 0
机构:
Tianjin Univ, Sch Elect & Informat Engn, Tianjin 300072, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Liu, Anan
;
Mao, Zhendong
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sci & Technol China, Sch Informat Sci & Technol, Hefei 230052, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Mao, Zhendong
;
Chen, Zhenyu
论文数: 0引用数: 0
h-index: 0
机构:
State Grid Corp China, Big Data Ctr, Beijing 100031, Peoples R China
China Elect Power Res Inst, Beijing 100192, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
Chen, Zhenyu
;
Gao, Xingyu
论文数: 0引用数: 0
h-index: 0
机构:
Chinese Acad Sci, Inst Microelect, Beijing 100029, Peoples R ChinaShandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China