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Factor modeling is an essential tool for exploring intrinsic dependence structures among high-dimensional random variables. Much progress has been made for estimating the covariance matrix from a high-dimensional factor model. However, the…

统计理论 · 数学 2016-10-26 Quefeng Li , Guang Cheng , Jianqing Fan , Yuyan Wang

In recent years, half precision floating-point arithmetic has gained wide support in hardware and software stack thanks to the advance of artificial intelligence and machine learning applications. Operating at half precision can…

数值分析 · 数学 2024-09-19 Longfei Gao , Kevin Harms

Providing expert trajectories in the context of Imitation Learning is often expensive and time-consuming. The goal must therefore be to create algorithms which require as little expert data as possible. In this paper we present an algorithm…

机器学习 · 计算机科学 2022-06-14 Jonas Nüßlein , Steffen Illium , Robert Müller , Thomas Gabor , Claudia Linnhoff-Popien

Gaussian process (GP) models provide a powerful tool for prediction but are computationally prohibitive using large data sets. In such scenarios, one has to resort to approximate methods. We derive an approximation based on a composite…

机器学习 · 统计学 2018-02-02 Xiuming Liu , Dave Zachariah , Edith C. H. Ngai

Recent work has deployed linear combinations of unitaries techniques to reduce the cost of fault-tolerant quantum simulations of correlated electron models. Here, we show that one can sometimes improve upon those results with optimized…

We present a unified view of likelihood based Gaussian progress regression for simulation experiments exhibiting input-dependent noise. Replication plays an important role in that context, however previous methods leveraging replicates have…

统计方法学 · 统计学 2019-01-18 Mickael Binois , Robert B. Gramacy , Michael Ludkovski

We propose a differentiable successive halving method of relaxing the top-k operator, rendering gradient-based optimization possible. The need to perform softmax iteratively on the entire vector of scores is avoided by using a…

机器学习 · 计算机科学 2020-10-30 Michał Pietruszka , Łukasz Borchmann , Filip Graliński

Variational inference techniques based on inducing variables provide an elegant framework for scalable posterior estimation in Gaussian process (GP) models. Besides enabling scalability, one of their main advantages over sparse…

机器学习 · 统计学 2021-02-24 Simone Rossi , Markus Heinonen , Edwin V. Bonilla , Zheyang Shen , Maurizio Filippone

Generalising robotic grasping to previously unseen objects is a key task in general robotic manipulation. The current method for training many antipodal generative grasping models rely on a binary ground truth grasp map generated from the…

机器人学 · 计算机科学 2022-06-02 William Prew , Toby P. Breckon , Magnus Bordewich , Ulrik Beierholm

Standard sparse pseudo-input approximations to the Gaussian process (GP) cannot handle complex functions well. Sparse spectrum alternatives attempt to answer this but are known to over-fit. We suggest the use of variational inference for…

机器学习 · 统计学 2015-03-23 Yarin Gal , Richard Turner

Iterative phase retrieval algorithms typically employ projections onto constraint subspaces to recover the unknown phases in the Fourier transform of an image, or, in the case of x-ray crystallography, the electron density of a molecule.…

数值分析 · 数学 2025-10-20 Veit Elser

In this paper, we present a kernel-based, multi-task Gaussian Process (GP) model for approximating the underlying function of an individual's mobility state using a time-inhomogeneous Markov Process with two states: moves and pauses. Our…

机器学习 · 统计学 2023-06-22 Ekin Ugurel

Covariance matrix estimation is a fundamental statistical task in many applications, but the sample covariance matrix is sub-optimal when the sample size is comparable to or less than the number of features. Such high-dimensional settings…

统计方法学 · 统计学 2022-06-06 Huiqin Xin , Sihai Dave Zhao

This paper seeks an efficient algorithm for stochastic precoding to maximize the long-term average weighted sum rates throughout a multiple-input multiple-output (MIMO) network. Unlike many existing works that assume a particular…

信息论 · 计算机科学 2026-03-10 Wenyu Wang , Kaiming Shen

This paper establishes optimal convergence rates for estimation of structured covariance operators of Gaussian processes. We study banded operators with kernels that decay rapidly off-the-diagonal and $L^q$-sparse operators with an…

统计理论 · 数学 2025-07-01 Omar Al-Ghattas , Jiaheng Chen , Daniel Sanz-Alonso , Nathan Waniorek

In particle physics, as in many areas of science, parameter inference relies on simulations to bridge the gap between theory and experiment. Recent developments in simulation-based inference have boosted the sensitivity of analyses;…

高能物理 - 唯象学 · 物理学 2026-04-23 Ezequiel Alvarez , Sean Benevedes , Manuel Szewc , Jesse Thaler

In this paper, we propose a uniformly dithered 1-bit quantization scheme for high-dimensional statistical estimation. The scheme contains truncation, dithering, and quantization as typical steps. As canonical examples, the quantization…

机器学习 · 统计学 2023-01-23 Junren Chen , Cheng-Long Wang , Michael K. Ng , Di Wang

This paper proposes a new class of real-time optimization schemes to overcome system-model mismatch of uncertain processes. This work's novelty lies in integrating derivative-free optimization schemes and multi-fidelity Gaussian processes…

机器学习 · 计算机科学 2021-11-11 Panagiotis Petsagkourakis , Benoit Chachuat , Ehecatl Antonio del Rio-Chanona

In this paper we present a novel iterative multiphase clustering technique for efficiently clustering high dimensional data points. For this purpose we implement clustering feature (CF) tree on a real data set and a Gaussian density…

机器学习 · 计算机科学 2014-11-13 Chandrima Sarkar , Atanu Roy

Building generalizable goal-conditioned agents from rich observations is a key to reinforcement learning (RL) solving real world problems. Traditionally in goal-conditioned RL, an agent is provided with the exact goal they intend to reach.…

机器学习 · 计算机科学 2022-05-18 Philippe Hansen-Estruch , Amy Zhang , Ashvin Nair , Patrick Yin , Sergey Levine