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Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions
- J. Lagarias, J. Reeds, M. H. Wright, P. E. Wright
- Mathematics, Computer ScienceSIAM J. Optim.
- 1 May 1998
TLDR
OPTIMAL PATHS FOR A CAR THAT GOES BOTH FORWARDS AND BACKWARDS
The path taken by a car with a given minimum turning radius has a lower bound on its radius of curvature at each point, but the path has cusps if the car shifts into or out of reverse gear. What is…
Estimating Solutions of First Kind Integral Equations with Nonnegative Constraints and Optimal Smoothing
- J. P. Butler, J. Reeds, S. V. Dawson
- Mathematics
- 1 June 1981
A method is presented for estimating solutions of Fredholm integral equations of the first kind, given noisy data. Regularization is effected by a smoothing term which is the $L^2 $-norm of the…
A comprehensive etymological dictionary of the English language
- J. Reeds, Ernest Klein
- Linguistics
- 1966
Shift-Register Synthesis (Modulo m)
TLDR
Inequalities and Positive-Definite Functions Arising from a Problem in Multidimensional Scaling
We solve the following variational problem: Find the maximum of E ∥ X−Y ∥ subject to E ∥ X ∥2 ≤ 1, where X and Y are i.i.d. random n-vectors, and ∥⋅∥ is the usual Euclidean norm on Rn. This problem…
Orthonormal bases of exponentials for the n-cube
- J. Lagarias, J. Reeds, Yang Wang
- Mathematics
- 15 May 2000
Any set that gives such an orthogonal basis is called a spectrum for . Only very special sets in R are spectral sets. However, when a spectrum exists, it can be viewed as a generalization of Fourier…
Identification of stops and vowels for the burst portion of (p,t,k) isolated from conversational speech.
The stops /p t k/ were tested for identification in the context of /i a u/. The burst portions of initial and final stops were isolated from conversational speech through electronic gating circuitry.…
Asymptotic Number of Roots of Cauchy Location Likelihood Equations
- J. Reeds
- Mathematics
- 1 June 1985
How many elements has Rn; how many roots are there? The standard maximum likelihood theory guarantees that one of the elements of Rn-the maximum likelihood estimate-is close to 0, and that all other…
Identification of Stops and Vowels for the Burst Portion of /p, t, k/ Isolated from Conversational Speech
Stimulus segments (burst, and burst plus 100 msec of vowel) were isolated from words with initial and final /p,t,k/, and presented to listeners for identification. For the burst alone, initials were…
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