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Random projection using random quantum circuits [PDF]
Physical Review ResearchThe random sampling task performed by Google's Sycamore processor gave us a glimpse of the “quantum supremacy era.” This has definitely shed some light on the power of random quantum circuits in this abstract task of sampling outputs from the (pseudo ...
Keerthi Kumaran +3 more
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Random-projection Ensemble Classification [PDF]
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2017 SummaryWe introduce a very general method for high dimensional classification, based on careful combination of the results of applying an arbitrary base classifier to random projections of the feature vectors into a lower dimensional space. In one special case that we study in detail, the random projections are divided into disjoint groups, and within ...
Timothy I Cannings, Richard Samworth
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Efficient High-Dimensional Kernel k-Means++ with Random Projection
Applied Sciences, 2021 Using random projection, a method to speed up both kernel k-means and centroid initialization with k-means++ is proposed. We approximate the kernel matrix and distances in a lower-dimensional space Rd before the kernel k-means clustering motivated by ...
Jan Y. K. Chan, Alex Po Leung, Yunbo Xie
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Differential Privacy with Random Projections and Sign Random Projections
CoRR, 2023 In this paper, we develop a series of differential privacy (DP) algorithms from a family of random projections (RP) for general applications in machine learning, data mining, and information retrieval. Among the presented algorithms, iDP-SignRP is remarkably effective under the setting of ``individual differential privacy'' (iDP), based on sign random ...
Ping Li 0001, Xiaoyun Li
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Remote Sensing, 2023 The problem that the randomly generated random projection matrix will lead to unstable classification results is addressed in this paper. To this end, a Tighter Random Projection-oriented entropy-weighted ensemble algorithm is proposed for classifying ...
Shuhan Jia +3 more
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Tracking With CNN Based Correlation Filters on Spherical Manifolds
IEEE Access, 2021 The correlation filters tracker allows features from multiple channels. The fusion of features by simply summing over them in an Euclidean space would destroy the inherent geometry among multiple features, resulting in the lose of their phase information
Mingke Zhang, Xuande Zhang, Long Xu
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Bilateral random projections [PDF]
2012 IEEE International Symposium on Information Theory Proceedings, 2012 Low-rank structure have been profoundly studied in data mining and machine learning. In this paper, we show a dense matrix $X$'s low-rank approximation can be rapidly built from its left and right random projections $Y_1=XA_1$ and $Y_2=X^TA_2$, or bilateral random projection (BRP). We then show power scheme can further improve the precision.
Tianyi Zhou 0001, Dacheng Tao
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Random projections for conic programs [PDF]
Linear Algebra and its Applications, 2021 We discuss the application of random projections to conic programming: notably linear, second-order and semidefinite programs. We prove general approximation results on feasibility and optimality using the framework of formally real Jordan algebras. We then discuss some computational experiments on randomly generated semidefinite programs in order to ...
Leo Liberti, Pierre-Louis Poirion, Ky Vu
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PGAGP: Predicting pathogenic genes based on adaptive network embedding algorithm
Frontiers in Genetics, 2023 The study of disease-gene associations is an important topic in the field of computational biology. The accumulation of massive amounts of biomedical data provides new possibilities for exploring potential relations between diseases and genes through ...
Yan Zhang +14 more
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Random projections in reducing the dimensionality of climate simulation data [PDF]
Tellus: Series A, Dynamic Meteorology and Oceanography, 2014 Random projection (RP) is a dimensionality reduction method that has been earlier applied to high-dimensional data sets, for instance, in image processing.
Teija Seitola +3 more
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