ARTMAP: Supervised Real-Time Learning and Classification of Nonstationary Data by a Self-Organizing Neural Network [PDF]
This article introduces a new neural network architecture, called ARTMAP, that autonomously learns to classify arbitrarily many, arbitrarily ordered vectors into recognition categories based on predictive success. This supervised learning system is built
Carpenter, Gail A. +2 more
core +2 more sources
The Ring Learning With Errors Problem: Spectral Distortion
We answer a question posed by Y. Elias et al. in [8] about possible spectral distortions of algebraic numbers. We provide a closed form for the spectral distortion of certain classes of cyclotomic polynomials. Moreover, we present a bound on the spectral distortion of cyclotomic polynomials.
Babinkostova, L. +4 more
openaire +2 more sources
On error distributions in ring-based LWE [PDF]
Since its introduction in 2010 by Lyubashevsky, Peikert and Regev, the ring learning with errors problem (ring-LWE) has become a popular building block for cryptographic primitives, due to its great versatility and its hardness proof consisting of a ...
Castryck, Wouter +2 more
core +3 more sources
Cold Boot Attacks on Ring and Module LWE Keys Under the NTT
In this work, we consider the ring- and module- variants of the LWE problem and investigate cold boot attacks on cryptographic schemes based on these problems, wherein an attacker is faced with the problem of recovering a scheme’s secret key from a noisy
Martin R. Albrecht +2 more
doaj +1 more source
Security considerations for Galois non-dual RLWE families [PDF]
We explore further the hardness of the non-dual discrete variant of the Ring-LWE problem for various number rings, give improved attacks for certain rings satisfying some additional assumptions, construct a new family of vulnerable Galois number fields ...
D Micciancio +13 more
core +2 more sources
Non-Commutative Ring Learning With Errors From Cyclic Algebras
Full version of a paper previously posted on IACR ...
Grover, Charles +2 more
openaire +2 more sources
Somewhat Homomorphic Encryption: Ring Learning with Error Algorithm for Faster Encryption of IoT Sensor Signal-Based Edge Devices [PDF]
In recent years, Homomorphic Encryption (HE) has shown the possibility of securely running a computation arbitrarily without performing the data decryption. Many authors have shown Somewhat Homomorphic Encryption (SHE) or Fully Homomorphic Encryption (FHE) schemes implemented practically on both the addition and multiplication operations for SHE.
V. Subramaniyaswamy +6 more
openaire +1 more source
R-LWE-Based Distributed Key Generation and Threshold Decryption
Ever since the appearance of quantum computers, prime factoring and discrete logarithm-based cryptography have been questioned, giving birth to the so-called post-quantum cryptography.
Ferran Alborch +2 more
doaj +1 more source
On the condition number of the Vandermonde matrix of the nth cyclotomic polynomial
Recently, Blanco-Chacón proved the equivalence between the Ring Learning With Errors and Polynomial Learning With Errors problems for some families of cyclotomic number fields by giving some upper bounds for the condition number Cond(Vn) of the ...
Scala Antonio J. Di +2 more
doaj +1 more source
The Structure Transfer Machine Theory and Applications [PDF]
Representation learning is a fundamental but challenging problem, especially when the distribution of data is unknown. We propose a new representation learning method, termed Structure Transfer Machine (STM), which enables feature learning process to ...
Han, Jungong +5 more
core +2 more sources

