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2002.08838
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On the Decision Boundaries of Neural Networks: A Tropical Geometry Perspective
IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2020
20 February 2020
Motasem Alfarra
Adel Bibi
Hasan Hammoud
M. Gaafar
Guohao Li
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Papers citing
"On the Decision Boundaries of Neural Networks: A Tropical Geometry Perspective"
19 / 19 papers shown
TropNNC: Structured Neural Network Compression Using Tropical Geometry
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341
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From Universal Approximation Theorem to Tropical Geometry of Multi-Layer Perceptrons
Yi-Shan Chu
Yueh-Cheng Kuo
100
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16 Oct 2025
Algebraic Approach to Ridge-Regularized Mean Squared Error Minimization in Minimal ReLU Neural Network
Ryoya Fukasaku
Y. Kabata
Akifumi Okuno
234
0
0
25 Aug 2025
Invisible Watermarks, Visible Gains: Steering Machine Unlearning with Bi-Level Watermarking Design
Yuhao Sun
Yihua Zhang
Gaowen Liu
Hongtao Xie
Sijia Liu
187
0
0
13 Aug 2025
Compound and Parallel Modes of Tropical Convolutional Neural Networks
Mingbo Li
Liying Liu
Ye Luo
386
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09 Apr 2025
The Real Tropical Geometry of Neural Networks
Marie-Charlotte Brandenburg
Georg Loho
Guido Montúfar
460
20
0
18 Mar 2024
Verification of Neural Networks' Global Robustness
Anan Kabaha
Dana Drachsler-Cohen
AAML
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375
14
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29 Feb 2024
On Minimal Depth in Neural Networks
J. L. Valerdi
MDE
374
10
0
23 Feb 2024
Defining Neural Network Architecture through Polytope Structures of Dataset
Sangmin Lee
Abbas Mammadov
Jong Chul Ye
449
1
0
04 Feb 2024
Adapter Pruning using Tropical Characterization
Conference on Empirical Methods in Natural Language Processing (EMNLP), 2023
Rishabh Bhardwaj
Tushar Vaidya
Soujanya Poria
181
0
0
30 Oct 2023
The Geometric Structure of Fully-Connected ReLU Layers
Jonatan Vallin
K. Larsson
M. Larson
294
3
0
05 Oct 2023
Doubly Robust Instance-Reweighted Adversarial Training
International Conference on Learning Representations (ICLR), 2023
Daouda Sow
Sen-Fon Lin
Zinan Lin
Yitao Liang
AAML
OOD
399
2
0
01 Aug 2023
Revisiting Tropical Polynomial Division: Theory, Algorithms and Application to Neural Networks
IEEE Transactions on Neural Networks and Learning Systems (TNNLS), 2023
I. Kordonis
Petros Maragos
254
3
0
27 Jun 2023
Exact Count of Boundary Pieces of ReLU Classifiers: Towards the Proper Complexity Measure for Classification
Conference on Uncertainty in Artificial Intelligence (UAI), 2023
Paweł Piwek
Adam Klukowski
Tianyang Hu
211
5
0
15 Jun 2023
Latent Imitator: Generating Natural Individual Discriminatory Instances for Black-Box Fairness Testing
International Symposium on Software Testing and Analysis (ISSTA), 2023
Yisong Xiao
Aishan Liu
Tianlin Li
Xianglong Liu
346
41
0
19 May 2023
The Vanishing Decision Boundary Complexity and the Strong First Component
Hengshuai Yao
UQCV
227
0
0
25 Nov 2022
Advancing Model Pruning via Bi-level Optimization
Neural Information Processing Systems (NeurIPS), 2022
Yihua Zhang
Yuguang Yao
Parikshit Ram
Pu Zhao
Tianlong Chen
Min-Fong Hong
Yanzhi Wang
Sijia Liu
487
89
0
08 Oct 2022
Concentration inequalities and optimal number of layers for stochastic deep neural networks
IEEE Access (IEEE Access), 2022
Michele Caprio
Sayan Mukherjee
BDL
445
1
0
22 Jun 2022
Towards Lower Bounds on the Depth of ReLU Neural Networks
Neural Information Processing Systems (NeurIPS), 2021
Christoph Hertrich
A. Basu
M. D. Summa
M. Skutella
624
57
0
31 May 2021
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