Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Güntürk, C. Sinan"'
Autor:
Güntürk, C. Sinan, Li, Weilin
Let $\mathscr{C}_\mathbb{Z}([0,1])$ be the metric space of real-valued continuous functions on $[0,1]$ with integer values at $0$ and $1$, equipped with the uniform (supremum) metric $d_\infty$. It is a classical theorem in approximation theory that
Externí odkaz:
http://arxiv.org/abs/2311.10901
Autor:
Güntürk, C. Sinan, Li, Weilin
We prove various theorems on approximation using polynomials with integer coefficients in the Bernstein basis of any given order. In the extreme, we draw the coefficients from $\{ \pm 1\}$ only. A basic case of our results states that for any Lipschi
Externí odkaz:
http://arxiv.org/abs/2112.09183
Autor:
Güntürk, C. Sinan, Li, Weilin
The celebrated universal approximation theorems for neural networks roughly state that any reasonable function can be arbitrarily well-approximated by a network whose parameters are appropriately chosen real numbers. This paper examines the approxima
Externí odkaz:
http://arxiv.org/abs/2112.09181
Autor:
Güntürk, C. Sinan, Li, Weilin
We show that the method of distributed noise-shaping beta-quantization offers superior performance for the problem of spectral super-resolution with quantization whenever there is redundancy in the number of measurements. More precisely, we define th
Externí odkaz:
http://arxiv.org/abs/2103.00079
Autor:
Güntürk, C. Sinan, Li, Weilin
We show that the method of distributed noise-shaping beta-quantization offers superior performance for the problem of spectral super-resolution with quantization whenever there is redundancy in the number of measurements. More precisely, if the (inte
Externí odkaz:
http://arxiv.org/abs/1902.00131
Autor:
Güntürk, C. Sinan, Thao, Nguyen T.
Given a finite collection $\mathbf{V}:=(V_1,\dots,V_N)$ of closed linear subspaces of a real Hilbert space $H$, let $P_i$ denote the orthogonal projection operator onto $V_i$ and $P_{i,\lambda}:= (1-\lambda)I + \lambda P_i$ denote its relaxation with
Externí odkaz:
http://arxiv.org/abs/1901.07516
Autor:
Jeong, Halyun, Güntürk, C. Sinan
The classical Kaczmarz iteration and its randomized variants are popular tools for fast inversion of linear overdetermined systems. This method extends naturally to the setting of the phase retrieval problem via substituting at each iteration the pha
Externí odkaz:
http://arxiv.org/abs/1706.10291
Noise shaping refers to an analog-to-digital conversion methodology in which quantization error is arranged to lie mostly outside the signal spectrum by means of oversampling and feedback. Recently it has been successfully applied to more general red
Externí odkaz:
http://arxiv.org/abs/1502.05807
Autor:
Güntürk, C. Sinan1 (AUTHOR) gunturk@cims.nyu.edu, Li, Weilin2 (AUTHOR)
Publikováno v:
Constructive Approximation. Apr2023, Vol. 57 Issue 2, p601-630. 30p.
Autor:
Güntürk, C. Sinan1 (AUTHOR), Li, Weilin1 (AUTHOR) weilinli@cims.nyu.edu
Publikováno v:
Constructive Approximation. Dec2022, Vol. 56 Issue 3, p619-648. 30p.