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At CRYPTO 2017, Rosca et al. introduce a new variant of the Learning With Errors (LWE) problem, called the Middle-Product LWE (MP-LWE). The hardness of this new assumption is based on the hardness of ...
A Nonstandard Variant of Learning with Rounding with Polynomial Modulus and Unbounded Samples
Lattices LWE Learning with Rounding
2018/1/30
The learning with rounding problem (LWR) has become a popular cryptographic assumption to study recently due to its determinism and resistance to known quantum attacks. Unfortunately, LWR is only know...
Rounding and Chaining LLL: Finding Faster Small Roots of Univariate Polynomial Congruences
Coppersmith's Algorithm Small Roots of Polynomial Equations LLL
2016/1/9
In a seminal work at EUROCRYPT '96, Coppersmith showed how to find all small roots of a univariate polynomial congruence in polynomial time: this has found many applications in public-key cryptanalysi...
Lattice rounding in Euclidean space can be viewed as finding the nearest point in the orbit of an action by a discrete group, relative to the norm inherited from the ambient space. Using this point of...
We show the following reductions from the learning with errors problem (LWE) to the learning with rounding problem (LWR): (1) Learning the secret and (2) distinguishing samples from random strings is ...
Rounding LLL: Finding Faster Small Roots of Univariate Polynomial Congruences
Coppersmith's Algorithm Small Roots of Polynomial Equations
2014/3/10
In a seminal work at EUROCRYPT '96, Coppersmith showed how to find all small roots of a univariate polynomial congruence in polynomial time: this has found many applications in public-key cryptanalysi...
Learning with Rounding, Revisited: New Reduction, Properties and Applications
Learning with Errors Learning with Rounding Lossy Trapdoor Functions
2013/4/18
The learning with rounding (LWR) problem, introduced by Banerjee, Peikert and Rosen [BPR12] at EUROCRYPT '12, is a variant of learning with errors (LWE), where one replaces random errors with determin...
Disorder promotes ferromagnetism: Rounding of the quantum phase transition in Sr_{1-x}Ca_xRuO_3
Disorder promotes ferromagnetism Rounding the quantum phase transition Sr_{1-x}Ca_xRuO_3
2012/2/24
The subtle interplay of randomness and quantum fluctuations at low temperatures gives rise to a plethora of unconventional phenomena in systems ranging from quantum magnets and correlated electron mat...
Efficient Online Learning via Randomized Rounding
Efficient Online Learning Randomized Rounding
2011/7/6
Most online algorithms used in machine learning today are based on variants of mirror descent or follow-the-leader.
A Simulated Interprofessional Rounding Experience in a Clinical Assessment Course
simulation interprofessional assessment cardiovascular patient assessment
2018/5/29
Objective. To implement a simulated interprofessional rounding experience using human patient simulators as a required activity for third-year pharmacy students in a clinical assessment course.
Desig...
Upper bounds for the expected Jefferson rounding under mean-variance-skewness conditions
Gain of rounding JeEerson rounding geometric moment theory four-dimensional geometry
2009/9/22
For the class of nonnegative random variables with
given mean, variance, and skewness and support bound, we present
a sharp upper bound for the expectation of rounding due to the Jefferson
rule. Th...
The Bureau of Labor Statistics rounds the Consumer Price Index (CPI) to a single decimal place before it is publicly released. Because the actual changes in the CPI have been small recently (the rate ...
On the Three-Way Distinction of Lip Rounding in Ningbo Chinese
On the Three-Way Distinction Lip Rounding Ningbo Chinese
2012/12/18
This paper examines the three-way distinction of lip rounding among the three high front vowels in Ningbo Chinese. The articulatory data from 7 speakers show that the three high front vowels have simi...