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Under certain conditions (known as the Restricted Isometry Property or RIP) on the m×N matrix Φ (where m < N), vectors x ∈ R that are sparse (i.e. have most of their entries equal to zero) can be… (More)

- Ronald M. Devore, Amos Ron
- 2010

The approximation of a general d-variate function f by the shifts φ(· − ξ), ξ ∈ Ξ ⊂ Rd, of a fixed function φ occurs in many applications such as data fitting, neural networks, and learning theory.… (More)

We consider the linear elliptic equation −div(a∇u) = f on some bounded domain D, where a has the form a = exp(b) with b a random function defined as b(y) = ∑ j≥1 yjψj where y = (yj) ∈ R are i.i.d.… (More)

This paper studies the problem of approximating a function f in a Banach space $$\mathcal{X}$$X from measurements $$l_j(f)$$lj(f), $$j=1,\ldots ,m$$j=1,…,m, where the $$l_j$$lj are linear functionals… (More)

- H. Choy, Wallace L Akerley, Ronald M. Devore
- Oncology
- 1959

Preclinically, the taxanes appear to potentiate radiation more effectively than do the platinum compounds. In our phase I trial (LUN-17) in patients with advanced non-small-cell lung cancer, we… (More)

- Tierney William I., Daubechies, Ronald M. Devore, C. S. Giintiirk, Amogh Vaishampayan
- 2002

We introduce a new architecture for pipelined (and also algorithmic) A/D converters that give exponentially accurate conversion using inaccurate comparators. An error analysis of a sigma-delta… (More)

We present a direct proof of some recent improved Sobolev inequalities put forward by A. Cohen, R. DeVore, P. Petrushev and H. Xu [C-DV-P-X] in their wavelet analysis of the space BV (R2). These… (More)

- Ronald M. Devore
- 2004

Let BV = BV(IR) be the space of functions of bounded variation on IR with d ≥ 2. Let ψλ, λ ∈ ∆, be a wavelet system of compactly supported functions normalized in BV, i.e. |ψλ|BV(IRd) = 1, λ ∈ ∆.… (More)