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Score-based models have recently been introduced as a richer framework to model distributions in high dimensions and are generally more suitable for generative tasks. In score-based models, a generative task is formulated using a parametric…

机器学习 · 计算机科学 2023-02-07 Harsh Mishra , Jurijs Nazarovs , Manmohan Dogra , Sathya N. Ravi

Finding an unconstrained and statistically interpretable reparameterization of a covariance matrix is still an open problem in statistics. Its solution is of central importance in covariance estimation, particularly in the recent…

统计方法学 · 统计学 2012-02-09 Mohsen Pourahmadi

While recent state-of-the-art results for adversarial imitation-learning algorithms are encouraging, recent works exploring the imitation learning from observation (ILO) setting, where trajectories \textit{only} contain expert observations,…

机器学习 · 计算机科学 2020-06-22 Dilip Arumugam , Debadeepta Dey , Alekh Agarwal , Asli Celikyilmaz , Elnaz Nouri , Bill Dolan

This paper generalizes the optimized gradient method (OGM) that achieves the optimal worst-case cost function bound of first-order methods for smooth convex minimization. Specifically, this paper studies a generalized formulation of OGM and…

最优化与控制 · 数学 2019-06-14 Donghwan Kim , Jeffrey A. Fessler

It is often advantageous to train models on a subset of the available train examples, because the examples are of variable quality or because one would like to train with fewer examples, without sacrificing performance. We present Gradient…

机器学习 · 计算机科学 2024-07-30 Dante Everaert , Christopher Potts

Gradient matching with Gaussian processes is a promising tool for learning parameters of ordinary differential equations (ODE's). The essence of gradient matching is to model the prior over state variables as a Gaussian process which…

机器学习 · 统计学 2016-10-25 Nico S. Gorbach , Stefan Bauer , Joachim M. Buhmann

It seems that in the current age, computers, computation, and data have an increasingly important role to play in scientific research and discovery. This is reflected in part by the rise of machine learning and artificial intelligence,…

机器学习 · 计算机科学 2024-05-15 Ronan Keane

In the recent years, various gradient descent algorithms including the methods of gradient descent, gradient descent with momentum, adaptive gradient (AdaGrad), root-mean-square propagation (RMSProp) and adaptive moment estimation (Adam)…

机器学习 · 计算机科学 2024-09-19 Abel C. H. Chen

Motivation: Gene selection has become a common task in most gene expression studies. The objective of such research is often to identify the smallest possible set of genes that can still achieve good predictive performance. The problem of…

统计方法学 · 统计学 2015-11-25 Stéphane Guerrier , Nabil Mili , Roberto Molinari , Samuel Orso , Marco Avella-Medina , Yanyuan Ma

In a probabilistic reformulation of a combinatorial problem, we often face an optimization over a hypercube, which corresponds to the Bernoulli probability parameter for each binary variable in the primal problem. The combinatorial nature…

机器学习 · 计算机科学 2026-02-17 Thanawat Sornwanee

Optimizing machine learning algorithms that are used to solve the objective function has been of great interest. Several approaches to optimize common algorithms, such as gradient descent and stochastic gradient descent, were explored. One…

机器学习 · 计算机科学 2022-10-06 Hilal AlQuabeh , Farha AlBreiki , Dilshod Azizov

We develop a scalable deep non-parametric generative model by augmenting deep Gaussian processes with a recognition model. Inference is performed in a novel scalable variational framework where the variational posterior distributions are…

机器学习 · 计算机科学 2016-03-02 Zhenwen Dai , Andreas Damianou , Javier González , Neil Lawrence

Gradient matching is a promising tool for learning parameters and state dynamics of ordinary differential equations. It is a grid free inference approach, which, for fully observable systems is at times competitive with numerical…

机器学习 · 统计学 2018-04-11 Nico S. Gorbach , Stefan Bauer , Joachim M. Buhmann

Flexible variational distributions improve variational inference but are harder to optimize. In this work we present a control variate that is applicable for any reparameterizable distribution with known mean and covariance matrix, e.g.…

机器学习 · 计算机科学 2020-10-26 Tomas Geffner , Justin Domke

Many popular feature-attribution methods for interpreting deep neural networks rely on computing the gradients of a model's output with respect to its inputs. While these methods can indicate which input features may be important for the…

机器学习 · 计算机科学 2023-07-11 Kevin Du , Lucas Torroba Hennigen , Niklas Stoehr , Alexander Warstadt , Ryan Cotterell

We propose efficient methods for solving stochastic simple bilevel optimization problems with convex inner levels, where the goal is to minimize an outer stochastic objective function subject to the solution set of an inner stochastic…

最优化与控制 · 数学 2025-11-25 Khanh-Hung Giang-Tran , Soroosh Shafiee , Nam Ho-Nguyen

Molecular discovery has brought great benefits to the chemical industry. Various molecule design techniques are developed to identify molecules with desirable properties. Traditional optimization methods, such as genetic algorithms,…

生物大分子 · 定量生物学 2025-11-05 Chris Zhuang , Debadyuti Mukherjee , Yingzhou Lu , Tianfan Fu , Ruqi Zhang

As the amount and complexity of available data increases, the need for robust statistical learning becomes more pressing. To enhance resilience against model misspecification, the generalized posterior inference method adjusts the…

统计计算 · 统计学 2024-09-04 Masahiro Tanaka

When dealing with difficult inverse problems such as inverse rendering, using Monte Carlo estimated gradients to optimise parameters can slow down convergence due to variance. Averaging many gradient samples in each iteration reduces this…

图形学 · 计算机科学 2023-09-28 Martin Balint , Karol Myszkowski , Hans-Peter Seidel , Gurprit Singh

Training models with discrete latent variables is challenging due to the high variance of unbiased gradient estimators. While low-variance reparameterization gradients of a continuous relaxation can provide an effective solution, a…

机器学习 · 计算机科学 2022-11-16 Zhe Dong , Andriy Mnih , George Tucker