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We consider the problem of learning an unknown function $f_{\star}$ on the $d$-dimensional sphere with respect to the square loss, given i.i.d. samples $\{(y_i,{\boldsymbol x}_i)\}_{i\le n}$ where ${\boldsymbol x}_i$ is a feature vector…

Statistics Theory · Mathematics 2020-02-18 Behrooz Ghorbani , Song Mei , Theodor Misiakiewicz , Andrea Montanari

Value approximation using deep neural networks is at the heart of off-policy deep reinforcement learning, and is often the primary module that provides learning signals to the rest of the algorithm. While multi-layer perceptron networks are…

Machine Learning · Computer Science 2022-06-10 Ge Yang , Anurag Ajay , Pulkit Agrawal

Quantized neural networks have drawn a lot of attention as they reduce the space and computational complexity during the inference. Moreover, there has been folklore that quantization acts as an implicit regularizer and thus can improve the…

Machine Learning · Computer Science 2022-06-14 Kaiqi Zhang , Ming Yin , Yu-Xiang Wang

Deep Neural Network (DNN) based super-resolution algorithms have greatly improved the quality of the generated images. However, these algorithms often yield significant artifacts when dealing with real-world super-resolution problems due to…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Kangfu Mei , Shenglong Ye , Rui Huang

Speculative Decoding (SD) has emerged as a widely used paradigm to accelerate the inference of large language models (LLMs) without compromising generation quality. It works by efficiently drafting multiple tokens using a compact model and…

Computation and Language · Computer Science 2026-01-21 Mingbo Song , Heming Xia , Jun Zhang , Chak Tou Leong , Qiancheng Xu , Wenjie Li , Sujian Li

Training deep neural networks (DNNs) in large-cluster computing environments is increasingly necessary, as networks grow in size and complexity. Local memory and processing limitations require robust data and model parallelism for crossing…

Machine Learning · Computer Science 2020-06-08 Russell J. Hewett , Thomas J. Grady

We consider learning deep neural networks (DNNs) that consist of low-precision weights and activations for efficient inference of fixed-point operations. In training low-precision networks, gradient descent in the backward pass is performed…

Computer Vision and Pattern Recognition · Computer Science 2020-05-26 Yoojin Choi , Mostafa El-Khamy , Jungwon Lee

Laplace approximations are among the simplest and most practical methods for approximate Bayesian inference in neural networks, yet their Euclidean formulation struggles with the highly anisotropic, curved loss surfaces and large symmetry…

Machine Learning · Computer Science 2026-01-06 Rodrigo Pereira David

We show that a deep neural network (DNN) trained to construct a stochastic discount factor (SDF) admits a sharp additive decomposition that separates nonlinear characteristic discovery from the pricing rule that aggregates them. The…

Statistical Finance · Quantitative Finance 2026-02-17 Bryan Kelly , Boris Kuznetsov , Semyon Malamud , Teng Andrea Xu , Yuan Zhang

In this work, a non-gradient descent learning (NGDL) scheme was proposed for deep feedforward neural networks (DNN). It is known that an autoencoder can be used as the building blocks of the multi-layer perceptron (MLP) DNN, the MLP is…

Machine Learning · Computer Science 2021-08-25 P. Guo , K. Wang , X. L. Zhou

We propose a novel deep neural network (DNN) based approximation architecture to learn estimates of measurements. We detail an algorithm that enables training of the DNN. The DNN estimator only uses measurements, if and when they are…

Machine Learning · Computer Science 2022-09-13 Shivangi Agarwal , Sanjit K. Kaul , Saket Anand , P. B. Sujit

In this paper, the existing Scheduling Dimension Reduction (SDR) methods for Linear Parameter-Varying (LPV) models are reviewed and a Deep Neural Network (DNN) approach is developed that achieves higher model accuracy under scheduling…

Systems and Control · Electrical Eng. & Systems 2020-12-10 P. J. W. Koelewijn , R. Tóth

Kernel-based subspace clustering, which addresses the nonlinear structures in data, is an evolving area of research. Despite noteworthy progressions, prevailing methodologies predominantly grapple with limitations relating to (i) the…

Machine Learning · Computer Science 2025-01-22 Kunpeng Xu , Lifei Chen , Shengrui Wang

The computational complexity of kernel methods has often been a major barrier for applying them to large-scale learning problems. We argue that this barrier can be effectively overcome. In particular, we develop methods to scale up kernel…

K-nearest neighbors (KNN) is one of the earliest and most established algorithms in machine learning. For regression tasks, KNN averages the targets within a neighborhood which poses a number of challenges: the neighborhood definition is…

Machine Learning · Computer Science 2022-05-18 Youssef Nader , Leon Sixt , Tim Landgraf

We propose a novel image sampling method for differentiable image transformation in deep neural networks. The sampling schemes currently used in deep learning, such as Spatial Transformer Networks, rely on bilinear interpolation, which…

Computer Vision and Pattern Recognition · Computer Science 2019-09-11 Wei Jiang , Weiwei Sun , Andrea Tagliasacchi , Eduard Trulls , Kwang Moo Yi

A common trend in simulation-driven engineering applications is the ever-increasing size and complexity of the problem, where classical numerical methods typically suffer from significant computational time and huge memory cost. Methods…

Computational Engineering, Finance, and Science · Computer Science 2025-10-28 Jiachen Guo , Chanwook Park , Xiaoyu Xie , Zhongsheng Sang , Gregory J. Wagner , Wing Kam Liu

This chapter deals with kernel methods as a special class of techniques for surrogate modeling. Kernel methods have proven to be efficient in machine learning, pattern recognition and signal analysis due to their flexibility, excellent…

Numerical Analysis · Mathematics 2022-10-31 Gabriele Santin , Bernard Haasdonk

Neural networks (NNs) achieve outstanding performance in many domains; however, their decision processes are often opaque and their inference can be computationally expensive in resource-constrained environments. We recently proposed…

Machine Learning · Computer Science 2025-05-30 Chang Yue , Niraj K. Jha

Deep Neural Networks require large amounts of labeled data for their training. Collecting this data at scale inevitably causes label noise.Hence,the need to develop learning algorithms that are robust to label noise. In recent years, k…

Machine Learning · Computer Science 2021-07-22 Itzik Mizrahi , Shai Avidan
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