- Changing almost perfect nonlinear functions on affine subspaces of small codimensions
2025/01/07 by Taniguchi, Hiroaki, Polujan, Alexandr, Pott, Alexander +1 · 2 citations
#06E30 #11T06 #94A60 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- The combinatorial structure and value distributions of plateaued functions
2024/10/01 by Kölsch, Lukas, Polujan, Alexandr · 2 citations
#06E30 #94D10 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- Covering the hypercube, the uncertainty principle, and an interpolation formula
2023/10/20 by Ivanisvili, Paata, Klein, Ohad, Vershynin, Roman · 2 citations
#06E30 #42C10 #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)
- Low c-differential and c-boomerang uniformity of the swapped inverse function
2020/09/19 by Stanica, Pantelimon · 1 citation
#06E30 #11T06 #94A60 #94D10 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Number Theory (math.NT)
- C-differential bent functions and perfect nonlinearity
2020/06/22 by Stanica, Pantelimon, Gangopadhyay, Sugata, Geary, Aaron +2 · 1 citation
#06E30 #11T06 #94A60 #94C10 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- The c-differential behavior of the inverse function under the\n EA-equivalence
2020/05/30 by Pantelimon Stănică, Aaron Geary, Stanica, Pantelimon +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #06E30 #11T06 #94A60 #94C10 #Advanced Differential Equations and Dynamical Systems #FOS: Computer and information sciences #Information Theory (cs.IT) #Nonlinear Waves and Solitons #Polynomial and algebraic computation
- The capacity of feedforward neural networks
2019/01/02 by Pierre Baldi, Baldi, Pierre, Roman Vershynin +1 · 2 citations
#06E30 #68Q32 #92B20 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural and Evolutionary Computing (cs.NE)
- Boolean constant degree functions on the slice are juntas
2018/01/19 by Filmus, Yuval, Ihringer, Ferdinand · 1 citation
#05B25 #05E30 #06E30 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics
- Boolean degree 1 functions on some classical association schemes
2018/01/18 by Filmus, Yuval, Ihringer, Ferdinand · 1 citation
#05B25 #05E30 #06E30 #Combinatorics (math.CO) #FOS: Mathematics
- Bohr's phenomenon for functions on the Boolean cube
2017/07/28 by Defant, Andreas, Mastyło, Mieczysław, Pérez, Antonio · 1 citation
#06E30 #42A16 #FOS: Mathematics #Functional Analysis (math.FA)
- On the Fourier spectrum of functions on Boolean cubes
2017/06/12 by Defant, Andreas, Mastyło, Mieczysław, Pérez, Antonio · 2 citations
#06E30 #47A30 #81P45 #FOS: Mathematics #Functional Analysis (math.FA)
- On the Correlation of Increasing Families
2015/11/14 by Kalai, Gil, Keller, Nathan, Mossel, Elchanan · 1 citation
#05D40 #06E30 #60C05 #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)
- Semifields, relative difference sets, and bent functions
2014/01/14 by Pott, Alexander, Schmidt, Kai-Uwe, Zhou, Yue · 1 citation
#05B10 #05B25 #06E30 #12K10 #Combinatorics (math.CO) #FOS: Mathematics
- Quantitative relation between noise sensitivity and influences
2010/03/09 by Keller, Nathan, Kindler, Guy · 2 citations
#05D40 #06E30 #60C05 #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)
- Thresholds and expectation thresholds
2006/03/09 by Kahn, Jeff, Kalai, Gil · 11 citations
#05C80 #05D40 #06E30 #60C05 #60K35 #82B26 #94C10 #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)
- Fast Evaluation, Weights and Nonlinearity of Rotation-Symmetric Functions
2000/10/24 by Cusick, Thomas W., Stanica, Pantelimon · 1 citation
#05A19 #06E30 #11T71 #94A60 #94C10 #Combinatorics (math.CO) #FOS: Mathematics