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In this paper we propose a high-order accurate scheme for image segmentation based on the level-set method. In this approach, the curve evolution is described as the 0-level set of a representation function but we modify the velocity that…

数值分析 · 数学 2020-01-08 Maurizio Falcone , Giulio Paolucci , Silvia Tozza

We employ chordal decomposition to reformulate a large and sparse semidefinite program (SDP), either in primal or dual standard form, into an equivalent SDP with smaller positive semidefinite (PSD) constraints. In contrast to previous…

最优化与控制 · 数学 2020-08-07 Yang Zheng , Giovanni Fantuzzi , Antonis Papachristodoulou , Paul Goulart , Andrew Wynn

In this work we propose a method for optimizing the lossy compression for a network of diverse reconstruction systems. We focus on adapting a standard image compression method to a set of candidate displays, presenting the decompressed…

多媒体 · 计算机科学 2018-02-13 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

Regularization in the optimization of deep neural networks is often critical to avoid undesirable over-fitting leading to better generalization of model. One of the most popular regularization algorithms is to impose L-2 penalty on the…

机器学习 · 计算机科学 2019-08-09 Kensuke Nakamura , Byung-Woo Hong

With the proliferation of mobile devices, the need for an efficient model to restore any degraded image has become increasingly significant and impactful. Traditional approaches typically involve training dedicated models for each specific…

计算机视觉与模式识别 · 计算机科学 2024-12-19 Bin Ren , Eduard Zamfir , Zongwei Wu , Yawei Li , Yidi Li , Danda Pani Paudel , Radu Timofte , Ming-Hsuan Yang , Nicu Sebe

This paper presents a new progressive compression method for triangular meshes. This method, in fact, is based on a schema of irregular multi-resolution analysis and is centered on the optimization of the rate-distortion trade-off. The…

图形学 · 计算机科学 2013-09-16 Zeineb Abderrahim , Elhem Techini , Mohamed Salim Bouhlel

Compressive sensing is a technique to sample signals well below the Nyquist rate using linear measurement operators. In this paper we present an algorithm for signal reconstruction given such a set of measurements. This algorithm…

信息论 · 计算机科学 2009-06-08 Graeme Pope

This paper is devoted to a new modification of a recently proposed adaptive stochastic mirror descent algorithm for constrained convex optimization problems in the case of several convex functional constraints. Algorithms, standard and its…

最优化与控制 · 数学 2020-01-22 Mohammad S. Alkousa

Many traditional signal recovery approaches can behave well basing on the penalized likelihood. However, they have to meet with the difficulty in the selection of hyperparameters or tuning parameters in the penalties. In this article, we…

机器学习 · 统计学 2022-11-17 Bin Wang , Xiaofei Wang , Jianhua Guo

The paper studies decentralized optimization over networks, where agents minimize a sum of {\it locally} smooth (strongly) convex losses and plus a nonsmooth convex extended value term. We propose decentralized methods wherein agents {\it…

最优化与控制 · 数学 2026-02-20 Xiaokai Chen , Ilya Kuruzov , Gesualdo Scutari

While data augmentation (DA) is generally applied to input data, several studies have reported that applying DA to hidden layers in neural networks, i.e., feature augmentation, can improve performance. However, in previous studies, the…

机器学习 · 计算机科学 2024-08-27 Tomoumi Takase , Ryo Karakida

Many information systems employ lossy compression as a crucial intermediate stage among other processing components. While the important distortion is defined by the system's input and output signals, the compression usually ignores the…

信息论 · 计算机科学 2018-05-14 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

Numerous Optimization Algorithms have a time-varying update rule thanks to, for instance, a changing step size, momentum parameter or, Hessian approximation. In this paper, we apply unrolled or automatic differentiation to a time-varying…

最优化与控制 · 数学 2024-10-28 Sheheryar Mehmood , Peter Ochs

Adaptive Demodulation (ADM) is a newly proposed rate-adaptive system which operates without requiring Channel State Information (CSI) at the transmitter (unlike adaptive modulation) by using adaptive decision region boundaries at the…

信息论 · 计算机科学 2016-11-17 J. David Brown , Jamshid Abouei , Konstantinos N. Plataniotis , Subbarayan Pasupathy

Sparsity priors are commonly used in denoising and image reconstruction. For analysis-type priors, a dictionary defines a representation of signals that is likely to be sparse. In most situations, this dictionary is not known, and is to be…

最优化与控制 · 数学 2021-12-16 Hashem Ghanem , Joseph Salmon , Nicolas Keriven , Samuel Vaiter

Establishing a fast rate of convergence for optimization methods is crucial to their applicability in practice. With the increasing popularity of deep learning over the past decade, stochastic gradient descent and its adaptive variants…

最优化与控制 · 数学 2022-01-03 Adityanarayanan Radhakrishnan , Mikhail Belkin , Caroline Uhler

The majority of the recent iterative approaches in 4DCT not only rely on nested iterations, thereby increasing computational complexity and constraining potential acceleration, but also fail to provide a theoretical proof of convergence for…

图像与视频处理 · 电气工程与系统科学 2025-10-08 Anh-Tuan Nguyen , Jens Renders , Khoi-Nguyen Nguyen , Tat-Dat To , Domenico Iuso , Yves Maris

We precisely quantify the impact of statistical error in the quality of a numerical approximation to a random matrix eigendecomposition, and under mild conditions, we use this to introduce an optimal numerical tolerance for residual error…

We describe an image compression method, consisting of a nonlinear analysis transformation, a uniform quantizer, and a nonlinear synthesis transformation. The transforms are constructed in three successive stages of convolutional linear…

计算机视觉与模式识别 · 计算机科学 2020-07-28 Johannes Ballé , Valero Laparra , Eero P. Simoncelli

Image restoration requires a careful balance between noise suppression and structure preservation. While first-order total variation (TV) regularization effectively preserves edges, it often introduces staircase artifacts, whereas…

数值分析 · 数学 2025-11-13 Liang Luo , Lei Zhang