Claim: (J k)-wise independent fools h. Proof: Fixing J variables ... Other variables x J still 2-wise independent. w J x J concentrated rarely changes outcome ...
Multimode sonic & ultrasonic image. Grayscale: Ultrasound image of geometry. Color: Sonic image of noise generation at. frequency associated with turbulence ...
View a k-DNF as a disjunction over 'metavariables', learn the disjunction using elimination. ... disjunctions, halfspaces, decision lists, parities, k-DNF, k-CNF. ...
Title: Computational Applications of Noise Sensitivity Author: Ryan Last modified by: Ryan Created Date: 4/1/2003 10:12:00 PM Document presentation format
Spatial (or N-Dimensional) Search in a Relational World Jim Gray Equations Define Subspaces For (x,y) above the line ax+by c Reverse the space by -ax + -by -c ...
Runs out of memory even before solving the. optimization problem ... of the optimization problem significantly! Solving for in terms of and gives: min ...
Iterated Function Systems--IFS. A finite set of 'maps' ... IFS Gallery: Menger's Sponge. 11. IFS Gallery: Spirals. 12. IFS Gallery: Five Non-Platonic ...
Typically nonlinear in the input space. Linear in a higher dimensional space ... allows complex classification (No positive definiteness 'Mercer' condition! ...
Point Grey Bumblebee. Boom in surface reconstruction research. Why we love the Voronoi diagram ... Triangles with no small angles, respect size of input ...
A general agnostic active learning algorithm Claire Monteleoni UC San Diego Joint work with Sanjoy Dasgupta and Daniel Hsu, UCSD. Active learning Many machine ...
Size sF (f) of f with respect to class F is size of smallest representation of f ... Monotone: For all x, i: f(x|xi=0) f(x|xi=1) Also exponential in 1/e (so ...
Title: PowerPoint Presentation Author: jacob white Last modified by: Luca Daniel Created Date: 9/7/2000 4:33:03 AM Document presentation format: On-screen Show
Harmonic analysis is central to learning theoretic results ... Modified Levin algo finds ?a in time ~ns2. Uniform Learning from a. Classification Noise Oracle ...
Even for huge problems (1 billion) NO optimization packages (LP,QP) needed. Outline of Talk ... where e is a vector of ones. Separate by two bounding planes, ...
What is a Support Vector Machine? An optimally defined surface ... Reduced support vector machine classification ... Preleminary results beat state-of-the-art software ...
GUN. GUY_BAD. Octrees (HS) ... It appears that most games don't bother, the trade-off favors pre-processed ... Environments of video game are vast and tend to ...
function [w, gamma] = psvm(A,d,nu) % PSVM: linear and nonlinear classification ... w=r(1:n);gamma=r(n 1); % getting w,gamma from r. Numerical experiments ...
Acts as a new 'spatial access method' Ported to Yukon CLR for a 3x speedup. ... The geoid is not a sphere! A trick: do everything in 3-space with planes ...
Convex hull Definition Important lower bound property in practice for non-convex problems the two cases You ll see a very interesting other way of finding ...
Synthetic dataset consisting of 1 billion points in 10- dimensional ... By QP 'duality', . Maximizing the margin. in the 'dual space' , gives: min. Replace ...
... an LP give rise to a geometrical shape - we call it a polyhedron. ... the corner points of the polyhedron, then we can calculate the ... polyhedron ...
By QP 'duality', . Maximizing the margin. in the 'dual space' , gives: min. Replace ... ( Via Nonhomogeneous Farkas or LP Duality) Proof: By LP Duality: ...
PhD Defense. Parametric Query Optimization. Arvind Hulgeri. Dept of ... plan is added to CSOP, we need to carve out region for the new plan; it involves ...
Geometric Data Stream Algorithms as Data Structures. Data structures that support: ... The algorithms will maintain certain statistics over nP(.), which will allow it ...
1. A Quasi-Convex Optimization Approach to Parameterized Model Order Reduction ... Flipping real parts of poles. PVL algorithm [Bai Bell Lab Tech Report 97] ...
Geometric Data Stream Algorithms as Data Structures. Data structures that support: ... The algorithms will maintain certain statistics over nP(.), which will allow it ...
On Translational Motion Planning in R3. Esther Ezra and Micha Sharir. Tel ... and peel them off C1. Obtain a new polyhedron C2 C1 . Apply steps 1 3 recursively. ...
Simplex method [Dantzig 1947] very fast in practice. very good ' ... the simplex algorithm that selects an improving edge ... the d-dimensional simplex: (log d) ...
... fix a set S and let {xm} be any sequence of elements in S. ... Consider any two disjoint sets: when can we construct a hyperplane that separates the sets? ...
Finding Duplicates in a Data Stream. Parikshit Gopalan MSR-Silicon Valley ... Main Result: A one-pass randomized algorithm for finding duplicates in O(log m)3 space. ...
Construct the shallow cutting. Efficiently report all regions stabs by the points ... orthogonal to the xd-axis. Solve the problem recursively on each hyperplane. ...
Reductions to the Noisy Parity Problem. TexPoint fonts used in EMF. ... Main Idea: A noisy parity algorithm can help find large Fourier coefficients ...
Ellipsoidal methods are used to compute forward and backward reach sets of ... It can be verified if computed reach sets intersect with given ellipsoids, ...
Given a BBD-tree for a set of data points in Rd, the number of leaf cells of size at least s0 intersecting a ... triangular data structure; PSLG; splay tree; ...
Geophysical Exploration for Geothermal Pre-Feasibility Studies in Nevis Gravity and Self Potential Geophysics By Frank Dale Morgan Geo-Caribes Technical Team &
... that C and D are compact (i.e., closed and bounded). The ... We obtain a family C of compact convex sets. Each Ci contains more than dn/(d 1) points of X. ...
(special case where B is vacuous is that polytope is polyhed. ... Pf) For P = , take p = q = 0, i.e. B, C vacuous. Otherwise, again homogenize and consider ...
Magnetotelluric Method Stephen Park IGPP UC Riverside magneto@ucrmt.ucr.edu So, what is the magnetotelluric method? The magnetotelluric (MT) method determines the ...
Simplex Algorithm: An ... A Central Result of LP Theory Duality Theorem Every linear program has a dual If the original is a minimization, the dual is a maximization ...