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The Subset Sum Problem is a fundamental NP-complete problem in cryptography and combinatorial optimization, with many real-world applications. The Random Subset Sum Problem (RSSP) is a more applicable version of subset sum, where numbers…

数据结构与算法 · 计算机科学 2026-05-21 Edwin Chen , Christof Teuscher

The Compressive Sensing (CS) as a novel acquisition approach that finds its usage in image processing. The hypothesis like this one assures signal recovery with high quality from decreased number of samples compared with the number required…

信号处理 · 电气工程与系统科学 2019-03-06 Drazen Jelic , Ana Scekic , Melvudin Hot , Nemanja Sevaljevic

Particle Size Analysis (PSA) is an important process carried out in a number of industries, which can significantly influence the properties of the final product. A ubiquitous instrument for this purpose is the Optical Microscope (OM).…

图像与视频处理 · 电气工程与系统科学 2020-10-26 Sarvesh Patil , Chava Y P D Phani Rajanish , Naveen Margankunte

Phase-shifting profilometry (PSP) enables high-accuracy 3D reconstruction but remains highly susceptible to object motion. Although numerous studies have explored compensation for motion-induced errors, residual inaccuracies still persist,…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Geyou Zhang , Kai Liu , Ao Li , Ce Zhu

Sparse Blind Source Separation (sparse BSS) is a key method to analyze multichannel data in fields ranging from medical imaging to astrophysics. However, since it relies on seeking the solution of a non-convex penalized matrix factorization…

机器学习 · 计算机科学 2018-12-18 Christophe Kervazo , Jerome Bobin , Cecile Chenot

Spin glass systems as lattices of disordered magnets with random interactions have important implications within the theory of magnetization and applications to a wide-range of hard combinatorial optimization problems. Nevertheless, despite…

无序系统与神经网络 · 物理学 2025-10-28 Fredrik Hasselgren , Max O. Al-Hasso , Amy Searle , Joseph Tindall , Marko von der Leyen

Reconstructing a signal from squared linear (rank-one quadratic) measurements is a challenging problem with important applications in optics and imaging, where it is known as phase retrieval. This paper proposes two new phase retrieval…

信息论 · 计算机科学 2016-09-21 Cheng Qian , Nicholas D. Sidiropoulos , Kejun Huang , Lei Huang , H. C. So

This paper focuses on the Bayesian Network Propensity Score (BNPS), a novel approach for estimating treatment effects in observational studies characterized by unknown (and likely unbalanced) designs and complex dependency structures among…

Variational quantum algorithms are viewed as promising candidates for demonstrating quantum advantage on near-term devices. These approaches typically involve the training of parameterized quantum circuits through a classical optimization…

We investigate the estimation of subgroup treatment effects with observational data. Existing propensity score matching and weighting methods are mostly developed for estimating overall treatment effect. Although the true propensity score…

统计方法学 · 统计学 2017-07-20 Jing Dong , Junni L Zhang , Fan Li

Obtaining the set of cosmological parameters consistent with observational data is an important exercise in current cosmological research. It involves finding the global maximum of the likelihood function in the multi-dimensional parameter…

宇宙学与河外天体物理 · 物理学 2012-07-03 Jayanti Prasad , Tarun Souradeep

Rather than measuring NP search in terms of Turing-machine time, we reinterpret witness recovery as an information-acquisition process: the hidden witness is the sole source of uncertainty, and identification requires sufficient reduction…

最优化与控制 · 数学 2026-04-22 Jing-Yuan Wei

The detection and estimation of gravitational wave (GW) signals belonging to a parameterized family of waveforms requires, in general, the numerical maximization of a data-dependent function of the signal parameters. Due to noise in the…

广义相对论与量子宇宙学 · 物理学 2010-04-21 Yan Wang , Soumya D. Mohanty

Selection of perefect parameters for low-pass filters can sometimes be an expensive problem with no analytical solution or differentiability of cost function. In this paper, we introduce a new PSO-inspired algorithm, that incorporates the…

最优化与控制 · 数学 2024-02-20 Dmytro Shchyrba , Izabela Paniczek

Optimizing the input probability distribution of a discrete-time channel is a standard step in the information-theoretic analysis of digital communication systems. Nevertheless, many practical communication systems transmit uniformly and…

信号处理 · 电气工程与系统科学 2024-12-13 Mohammad Taha Askari , Lutz Lampe

Phase retrieval aims at reconstructing unknown signals from magnitude measurements of linear mixtures. In this paper, we consider the phase retrieval with dictionary learning problem, which includes an additional prior information that the…

信号处理 · 电气工程与系统科学 2023-01-24 Tianyi Liu , Andreas M. Tillmann , Yang Yang , Yonina C. Eldar , Marius Pesavento

BPS spectrum with finite number of states are found for higher rank four dimensional N=2 theory engineered from six dimensional A_{N-1} (2,0) theory on a Riemann surface with various kinds of defects. The wall crossing formula is…

高能物理 - 理论 · 物理学 2012-12-03 Dan Xie

Two-stage stochastic integer programs provide a powerful framework for modeling decision-making under uncertainty, but they are notoriously difficult to solve at scale due to their high dimensionality and intrinsic nonconvexity.…

最优化与控制 · 数学 2026-04-28 Santanu S. Dey , Marco Molinaro , Jingye Xu

Symbolic regression that aims to detect underlying data-driven models has become increasingly important for industrial data analysis. For most existing algorithms such as genetic programming (GP), the convergence speed might be too slow for…

神经与进化计算 · 计算机科学 2017-10-31 Chen Chen , Changtong Luo , Zonglin Jiang

Current and upcoming large-scale structure surveys are pushing toward increasingly wide angular coverage, where wide-angle effects (arising from the varying line of sight across the curved sky) become critical for accurate modeling of the…

宇宙学与河外天体物理 · 物理学 2026-01-28 Robin Y. Wen , Henry S. Grasshorn Gebhardt , Chen Heinrich , Olivier Doré