– A fast optimal algorithm based on the branch and bound method, coupled with an iterative lower bound update, is proposed for the joint detection of binary symbols of K users in a synchronous correlated waveform multiple-access (CWMA) channel with Gaussian noise. The proposed method significantly decreases the average computational cost and the Decision Feedback Detector (DFD) [2] is proved to...

We consider the problem of nding the nearest common ancestor of two given nodes x and y (denoted by nca(x; y)) in a collection of dynamic rooted trees. Interspersed with nca-queries are on-line commands link(x; y) where x but not necessarily y is a tree root. The eeect of a command link(x; y) is to combine the trees containing x and y by making y the parent of x. We present a pointer machine al...

In this paper, we propose a global routing algorithm for multi-layer building-block layouts. The algorithm is based on successive ripup and rerouting while satisfying edge capacity constraints as well as achieving higher routability and good routing flexibility. The init i a l solution consists of nets routed independently b y the SERT-C algorithm which minimizes the Elmore delay at critical si...

Consequently, we can replace (20) by Then (21) permits us to substitute aY*(n)-= y*(n-k) + C a,(n) N-I ay*(n-m) $&) = y f (n-k), a a R k (n) a a R k (n-m> (22a) m = 1 $b,(n) nf(,-k), Notice that these equations are recursive in the partial derivatives since terms on the right-hand side correspond to delayed versions of the left-hand side. From (13), the component of r) corresponding to ak (whic...

We present an unsupervised learning algorithm that mines large text corpora for patterns that express implicit semantic relations. For a given input word pair Y X : with some unspecified semantic relations, the corresponding output list of patterns m P P , , 1 is ranked according to how well each pattern i P expresses the relations between X and Y . For example, given ostrich = X and bird = Y ,...

The RWM algorithm creates a Markov chain with stationary distribution π(x), and hence (eventually) a dependent sample with distribution ≈ π(x). Given the current value X ∈ R, a new value X∗ = X + Y is proposed by sampling a “jump”, Y, from from a pre-specified Lebesgue density q (y|x) = λ−d r (y/λ) , where r (−y) = r (y); the proposal is then accepted with probability α(x,y) = 1 ∧ (π(x∗)/π(x))....

If the algorithm has in its memory two points x + ; x ? then the algorithm performs a binary search on the path connecting x + and x ? as follows: the algorithm picks the node y 2 which is the middle point on the path connecting x + and x ? ; the algorithm deenes an hypothesis h using the branch leading to y 2 and asks an equivalence query EQ(h). If the answer to the query is \YES" it stops wit...

y(t0) = y0 Here f(t, y) is a given function, t0 is a given initial time and y0 is a given initial value for y. The unknown in the problem is the function y(t). Two obvious considerations in deciding whether or not a given algorithm is of any practical value are (a) the amount of computational effort required to execute the algorithm and (b) the accuracy that this computational effort yields. Fo...

Let p ≡ 1 (mod 4) be a prime number and let ζ = e be a primitive root of unity. Then there exists a unique biquadratic extension eld Q(y)/Q that is a sub eld of Q(ζ). The aim of this work is to construct an algorithm for nding such y explicitly. Finally we state a general conjecture about the y we found.

Many modern multiclass and multilabel problems are characterized by increasingly large output spaces. For these problems, label embeddings have been shown to be a useful primitive that can improve computational and statistical efficiency. In this work we utilize a correspondence between rank constrained estimation and low dimensional label embeddings that uncovers a fast label embedding algorit...