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Dataset Distillation is the task of synthesizing small datasets from large ones while still retaining comparable predictive accuracy to the original uncompressed dataset. Despite significant empirical progress in recent years, there is…

Machine Learning · Computer Science 2023-05-24 Alaa Maalouf , Murad Tukan , Noel Loo , Ramin Hasani , Mathias Lechner , Daniela Rus

We propose statistical inferential procedures for panel data models with interactive fixed effects in a kernel ridge regression framework.Compared with traditional sieve methods, our method is automatic in the sense that it does not require…

Statistics Theory · Mathematics 2017-03-10 Shunan Zhao , Ruiqi Liu , Zuofeng Shang

We propose an efficient method to estimate source power spectral densities (PSDs) in a multi-source reverberant environment using a spherical microphone array. The proposed method utilizes the spatial correlation between the spherical…

Sound · Computer Science 2018-05-21 Abdullah Fahim , Prasanga N. Samarasinghe , Thushara D. Abhayapala

Kernel methods are powerful and flexible approach to solve many problems in machine learning. Due to the pairwise evaluations in kernel methods, the complexity of kernel computation grows as the data size increases; thus the applicability…

Machine Learning · Computer Science 2017-11-28 Bharath Bhushan Damodaran , Nicolas Courty , Philippe-Henri Gosselin

Imputation is a popular technique for handling missing data. We consider a nonparametric approach to imputation using the kernel ridge regression technique and propose consistent variance estimation. The proposed variance estimator is based…

Methodology · Statistics 2021-02-02 Hengfang Wang , Jae-Kwang Kim

Kernel regression is a popular non-parametric fitting technique. It aims at learning a function which estimates the targets for test inputs as precise as possible. Generally, the function value for a test input is estimated by a weighted…

Machine Learning · Computer Science 2017-12-27 Rongqing Huang , Shiliang Sun

We study the cost of overfitting in noisy kernel ridge regression (KRR), which we define as the ratio between the test error of the interpolating ridgeless model and the test error of the optimally-tuned model. We take an "agnostic" view in…

Machine Learning · Statistics 2024-03-25 Lijia Zhou , James B. Simon , Gal Vardi , Nathan Srebro

Random feature mapping (RFM) is a popular method for speeding up kernel methods at the cost of losing a little accuracy. We study kernel ridge regression with random feature mapping (RFM-KRR) and establish novel out-of-sample error upper…

Machine Learning · Statistics 2019-09-26 Shusen Wang

This paper introduces a new approach to sound source localization using head-related transfer function (HRTF) characteristics, which enable precise full-sphere localization from raw data. While previous research focused primarily on using…

Sound · Computer Science 2024-02-07 Gil Geva , Olivier Warusfel , Shlomo Dubnov , Tammuz Dubnov , Amir Amedi , Yacov Hel-Or

In this work, we present a new multi-view depth estimation method that utilizes both conventional reconstruction and learning-based priors over the recently proposed neural radiance fields (NeRF). Unlike existing neural network based…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Yi Wei , Shaohui Liu , Yongming Rao , Wang Zhao , Jiwen Lu , Jie Zhou

We study the problem of estimating the ridges of a density function. Ridge estimation is an extension of mode finding and is useful for understanding the structure of a density. It can also be used to find hidden structure in point cloud…

Statistics Theory · Mathematics 2014-08-29 Christopher R. Genovese , Marco Perone-Pacifico , Isabella Verdinelli , Larry Wasserman

Ridge regression (RR) is a regularization technique that penalizes the L2-norm of the coefficients in linear regression. One of the challenges of using RR is the need to set a hyperparameter ($\alpha$) that controls the amount of…

Methodology · Statistics 2020-05-08 Ariel Rokem , Kendrick Kay

We propose the use of low bit-depth Sigma-Delta and distributed noise-shaping methods for quantizing the Random Fourier features (RFFs) associated with shift-invariant kernels. We prove that our quantized RFFs -- even in the case of $1$-bit…

Machine Learning · Computer Science 2022-04-14 Jinjie Zhang , Harish Kannan , Alexander Cloninger , Rayan Saab

This paper presents ER-NeRF, a novel conditional Neural Radiance Fields (NeRF) based architecture for talking portrait synthesis that can concurrently achieve fast convergence, real-time rendering, and state-of-the-art performance with…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Jiahe Li , Jiawei Zhang , Xiao Bai , Jun Zhou , Lin Gu

In this paper, the frequency-domain sound field is regarded as an element of some band-limited function space, and a representation of the field as a linear combination of the reproducing kernel in that space is proposed. This model has the…

Sound · Computer Science 2024-05-24 Takahiro Iwami , Akira Omoto

The area of study concerning the estimation of spatial sound, i.e., the distribution of a physical quantity of sound such as acoustic pressure, is called sound field estimation, which is the basis for various applied technologies related to…

Random Fourier features is a widely used, simple, and effective technique for scaling up kernel methods. The existing theoretical analysis of the approach, however, remains focused on specific learning tasks and typically gives pessimistic…

Machine Learning · Statistics 2021-02-08 Zhu Li , Jean-Francois Ton , Dino Oglic , Dino Sejdinovic

Automatic speech recognition (ASR) on multi-talker recordings is challenging. Current methods using 3D spatial data from multi-channel audio and visual cues focus mainly on direct waves from the target speaker, overlooking reflection wave…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-13 Yiwen Shao , Shi-Xiong Zhang , Dong Yu

This study presents an efficient incremental/decremental approach for big streams based on Kernel Ridge Regression (KRR), a frequently used data analysis in cloud centers. To avoid reanalyzing the whole dataset whenever sensors receive new…

Machine Learning · Computer Science 2017-11-10 Bo-Wei Chen , Nik Nailah Binti Abdullah , Sangoh Park

Estimation of the direction-of-arrival (DOA) of sound sources is an important step in sound field analysis. Rigid spherical microphone arrays allow the calculation of a compact spherical harmonic representation of the sound field. A basic…

Sound · Computer Science 2018-03-06 Mert Burkay Coteli , Orhun Olgun , Huseyin Hacihabiboglu
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