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Partial differential equation parameter estimation is a mathematical and computational process used to estimate the unknown parameters in a partial differential equation model from observational data. This paper employs a greedy sampling…

动力系统 · 数学 2024-05-15 Ali Forootani , Harshit Kapadia , Sridhar Chellappa , Pawan Goyal , Peter Benner

A popular approach within the signal processing and machine learning communities consists in modelling signals as sparse linear combinations of atoms selected from a learned dictionary. While this paradigm has led to numerous empirical…

机器学习 · 计算机科学 2015-08-25 Rémi Gribonval , Rodolphe Jenatton , Francis Bach

Challenging computer vision tasks, in particular semantic image segmentation, require large training sets of annotated images. While obtaining the actual images is often unproblematic, creating the necessary annotation is a tedious and…

计算机视觉与模式识别 · 计算机科学 2015-04-29 Alexander Kolesnikov , Christoph H. Lampert

In this paper, we focus on the problem of unsupervised image-sentence matching. Existing research explores to utilize document-level structural information to sample positive and negative instances for model training. Although the approach…

计算机视觉与模式识别 · 计算机科学 2021-04-07 Zejun Li , Zhongyu Wei , Zhihao Fan , Haijun Shan , Xuanjing Huang

Model selection aims to identify a sufficiently well performing model that is possibly simpler than the most complex model among a pool of candidates. However, the decision-making process itself can inadvertently introduce non-negligible…

统计方法学 · 统计学 2024-08-08 Yann McLatchie , Aki Vehtari

Intelligent real-world systems critically depend on expressive information about their system state and changing operation conditions, e.g., due to variation in temperature, location, wear, or aging. To provide this information, online…

系统与控制 · 电气工程与系统科学 2024-09-17 Jan-Hendrik Ewering , Björn Volkmann , Simon F. G. Ehlers , Thomas Seel , Michael Meindl

The performance of sentence encoders can be significantly improved through the simple practice of fine-tuning using contrastive loss. A natural question arises: what characteristics do models acquire during contrastive learning? This paper…

计算与语言 · 计算机科学 2023-10-25 Hiroto Kurita , Goro Kobayashi , Sho Yokoi , Kentaro Inui

We propose a Bayesian approximate inference method for learning the dependence structure of a Gaussian graphical model. Using pseudo-likelihood, we derive an analytical expression to approximate the marginal likelihood for an arbitrary…

机器学习 · 统计学 2017-04-13 Janne Leppä-aho , Johan Pensar , Teemu Roos , Jukka Corander

We use the language of uninformative Bayesian prior choice to study the selection of appropriately simple effective models. We advocate for the prior which maximizes the mutual information between parameters and predictions, learning as…

数据分析、统计与概率 · 物理学 2018-02-16 Henry H. Mattingly , Mark K. Transtrum , Michael C. Abbott , Benjamin B. Machta

In the context of statistical learning, the Information Bottleneck method seeks a right balance between accuracy and generalization capability through a suitable tradeoff between compression complexity, measured by minimum description…

信息论 · 计算机科学 2021-02-16 Mohammad Mahdi Mahvari , Mari Kobayashi , Abdellatif Zaidi

In distributed, or privacy-preserving learning, we are often given a set of probabilistic models estimated from different local repositories, and asked to combine them into a single model that gives efficient statistical estimation. A…

机器学习 · 统计学 2017-03-01 Jun Han , Qiang Liu

Choosing models from a well-fitted evolved population that generalizes beyond training data is difficult. We introduce a pragmatic method to estimate model complexity using Hessian rank for post-processing selection. Complexity is…

机器学习 · 计算机科学 2025-01-30 Nathan Haut , Zenas Huang , Adam Alessio

This paper presents an efficient variational inference framework for deriving a family of structured gaussian process regression network (SGPRN) models. The key idea is to incorporate auxiliary inducing variables in latent functions and…

机器学习 · 计算机科学 2021-11-19 Rui Meng , Herbie Lee , Kristofer Bouchard

In the case of informative sampling the sampling scheme explicitly or implicitly depends on the response variable. As a result, the sample distribution of response variable can- not be used for making inference about the population. In this…

应用统计 · 统计学 2016-11-18 Anna Sikov

Language prediction is constrained by informational entropy intrinsic to language, such that there exists a limit to how accurate any language model can become and equivalently a lower bound to language compression. The most efficient…

计算与语言 · 计算机科学 2025-11-14 Benjamin L. Badger , Matthew Neligeorge

In this paper, we introduce the notion of Gaussian processes indexed by probability density functions for extending the Mat\'ern family of covariance functions. We use some tools from information geometry to improve the efficiency and the…

统计方法学 · 统计学 2020-11-09 A. Fradi , Y. Feunteun , C. Samir , M. Baklouti , F. Bachoc , J-M. Loubes

When choosing between competing symbolic models for a data set, a human will naturally prefer the "simpler" expression or the one which more closely resembles equations previously seen in a similar context. This suggests a non-uniform prior…

机器学习 · 计算机科学 2023-06-05 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

Generative adversarial networks (GANs) can implicitly learn rich distributions over images, audio, and data which are hard to model with an explicit likelihood. We present a practical Bayesian formulation for unsupervised and…

机器学习 · 统计学 2017-11-09 Yunus Saatchi , Andrew Gordon Wilson

In neural networks with binary activations and or binary weights the training by gradient descent is complicated as the model has piecewise constant response. We consider stochastic binary networks, obtained by adding noises in front of…

机器学习 · 统计学 2020-11-05 Alexander Shekhovtsov , Viktor Yanush , Boris Flach

Bayesian inference allows machine learning models to express uncertainty. Current machine learning models use only a single learnable parameter combination when making predictions, and as a result are highly overconfident when their…

机器学习 · 计算机科学 2022-02-23 Andrew Wood , Moshik Hershcovitch , Daniel Waddington , Sarel Cohen , Peter Chin