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An online and unified algorithm for projection matrix vector multiplication with application to empirical risk minimization
Online matrix vector multiplication is a fundamental step and bottleneck in many machine
learning algorithms. It is defined as follows: given a matrix at the pre-processing phase, at …
learning algorithms. It is defined as follows: given a matrix at the pre-processing phase, at …
Sketching for first order method: efficient algorithm for low-bandwidth channel and vulnerability
Sketching is one of the most fundamental tools in large-scale machine learning. It enables
runtime and memory saving via randomly compressing the original large problem into lower …
runtime and memory saving via randomly compressing the original large problem into lower …
Sketching meets differential privacy: fast algorithm for dynamic kronecker projection maintenance
Projection maintenance is one of the core data structure tasks. Efficient data structures for
projection maintenance have led to recent breakthroughs in many convex programming …
projection maintenance have led to recent breakthroughs in many convex programming …
Neuromorphic imaging with density-based spatiotemporal denoising
Bio-inspired neuromorphic cameras asynchronously record visual information of dynamic
scenes by discrete events. Due to the high sampling rate, they are capable of fast motion …
scenes by discrete events. Due to the high sampling rate, they are capable of fast motion …
Is solving graph neural tangent kernel equivalent to training graph neural network?
A rising trend in theoretical deep learning is to understand why deep learning works through
Neural Tangent Kernel (NTK)[jgh18], a kernel method that is equivalent to using gradient …
Neural Tangent Kernel (NTK)[jgh18], a kernel method that is equivalent to using gradient …
Dynamic tensor product regression
In this work, we initiate the study of\emph {Dynamic Tensor Product Regression}. One has
matrices $ A_1\in\mathbb {R}^{n_1\times d_1},\ldots, A_q\in\mathbb {R}^{n_q\times d_q} …
matrices $ A_1\in\mathbb {R}^{n_1\times d_1},\ldots, A_q\in\mathbb {R}^{n_q\times d_q} …
Constrained density-based spatial clustering of applications with noise (DBSCAN) using hyperparameter optimization
This article proposes a hyperparameter optimization method for density-based spatial
clustering of applications with noise (DBSCAN) with constraints, termed HC-DBSCAN. While …
clustering of applications with noise (DBSCAN) with constraints, termed HC-DBSCAN. While …
Efficient sgd neural network training via sublinear activated neuron identification
Deep learning has been widely used in many fields, but the model training process usually
consumes massive computational resources and time. Therefore, designing an efficient …
consumes massive computational resources and time. Therefore, designing an efficient …
Federated empirical risk minimization via second-order method
Many convex optimization problems with important applications in machine learning are
formulated as empirical risk minimization (ERM). There are several examples: linear and …
formulated as empirical risk minimization (ERM). There are several examples: linear and …
Optimal Dynamic Parameterized Subset Sampling
In this paper, we study the Dynamic Parameterized Subset Sampling (DPSS) problem in the
Word RAM model. In DPSS, the input is a set, S, of n items, where each item, x, has a non …
Word RAM model. In DPSS, the input is a set, S, of n items, where each item, x, has a non …