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I shall start by reviewing the connection between the wormholes and entanglement in the context of AdS/CFT. I shall then show how the Berry phase, a geometrical phase encoding information about the to...
Due to the limited spatial resolution of remote hyperspectral sensors, pixels are usually highly mixed in the hyperspectral images. Endmember extraction refers to the process identifying the pure endm...
Matrix and tensor factorizations have a long history in machine learning. Being able to recover latent factors in the data and flexible enough to accommodate a large set of constraints and regularizat...
The number field sieve is the best-known algorithm for factoring integers and solving the discrete logarithm problem in prime fields. In this paper, we present some new improvements to various steps o...
Bones et al. showed at Crypto 99 that moduli of the form N=prq can be factored in polynomial time when r≥logp. Their algorithm is based on Coppersmith's technique for finding small roots of polynomial...
Recommendation systems become popular in our daily life. It is well known that the more the release of users’ personal data, the better the quality of recommendation. However, such services raise se...
In 1993, Coppersmith introduced the “factorization factory” approach as a means to speed up the Number Field Sieve algorithm (NFS) when factoring batches of integers of similar size: at the expense ...
We present new factors of seventeen Mersenne numbers, obtained using a variant of the special number field sieve where sieving on the algebraic side is shared among the numbers. It reduced the overa...
Given two integers N1=p1q1 and N2=p2q2 with α-bit primes q1,q2, suppose that the t least significant bits of p1 and p2 are equal. May and Ritzenhofen (PKC 2009) developed a factoring algorithm for N1,...
This note is related to Theorem 1 of the ICA-BSS Conference’paper “AR Processes and Sources can be Reconstructed from Degenerate Mixtures” [1]. Here we study further the uniqueness of the decompositio...
We describe the application of the graph-theoretic property known as treewidth to the problem of finding efficient parsing algorithms. This method, similar to the junction tree algorithm ...
Tree-Local Multi-Component Tree-Adjoining Grammar (TL-MCTAG) is an appealing formalism for natural language representation because it arguably allows the encapsulation of the appropriate domain of loc...
We interpret non-negative matrix factorization geometrically, as the problem of finding a simplicial cone which contains a cloud of data points and which is contained in the positive orthant.
Analyzing work functions and the IO variables they need is an important component of designing and evaluating complex systems. We develop a biclustering method for jointly grouping work functions a...
We consider the design of finite impulse response (FIR) filters subject to upper and lower bounds on the frequency response magnitude. The associated optimization problems, with the filter coefficient...

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