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The prior knowledge (a.k.a. priors) integrated into the design of a machine learning system strongly influences its generalization abilities. In the specific context of deep learning, some of these priors are poorly understood as they…

机器学习 · 计算机科学 2022-03-17 Simon Carbonnelle

Regularized linear regression is central to machine learning, yet its high-dimensional behavior with informative priors remains poorly understood. We provide the first exact asymptotic characterization of training and test risks for maximum…

机器学习 · 统计学 2026-01-28 Malik Tiomoko , Ekkehard Schnoor

Deep actor-critic algorithms have reached a level where they influence everyday life. They are a driving force behind continual improvement of large language models through user feedback. However, their deployment in physical systems is not…

机器学习 · 计算机科学 2025-11-27 Bahareh Tasdighi , Manuel Haussmann , Yi-Shan Wu , Andres R. Masegosa , Melih Kandemir

Modeling uncertainty in deep neural networks, despite recent important advances, is still an open problem. Bayesian neural networks are a powerful solution, where the prior over network weights is a design choice, often a normal…

机器学习 · 统计学 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

Constrained learning is prevalent in many statistical tasks. Recent work proposes distance-to-set penalties to derive estimators under general constraints that can be specified as sets, but focuses on obtaining point estimates that do not…

统计方法学 · 统计学 2022-10-25 Rick Presman , Jason Xu

This paper introduces a framework for incorporating prior information into the design of sequential experiments. These sources may include past experiments, expert opinions, or the experimenter's intuition. We model the problem using a…

计量经济学 · 经济学 2024-10-01 Frederico Finan , Demian Pouzo

Adding domain knowledge to a learning system is known to improve results. In multi-parameter Bayesian frameworks, such knowledge is incorporated as a prior. On the other hand, various model parameters can have different learning rates in…

机器学习 · 计算机科学 2022-06-22 Sareh Nabi , Houssam Nassif , Joseph Hong , Hamed Mamani , Guido Imbens

We study the issue of PAC-Bayesian domain adaptation: We want to learn, from a source domain, a majority vote model dedicated to a target one. Our theoretical contribution brings a new perspective by deriving an upper-bound on the target…

机器学习 · 统计学 2016-07-27 Pascal Germain , Amaury Habrard , François Laviolette , Emilie Morvant

We introduce a new and rigorously-formulated PAC-Bayes meta-learning algorithm that solves few-shot learning. Our proposed method extends the PAC-Bayes framework from a single task setting to the meta-learning multiple task setting to…

机器学习 · 计算机科学 2021-11-02 Cuong Nguyen , Thanh-Toan Do , Gustavo Carneiro

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

机器学习 · 统计学 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Improving learning efficiency is paramount for learning resource allocation with deep neural networks (DNNs) in wireless communications over highly dynamic environments. Incorporating domain knowledge into learning is a promising way of…

信号处理 · 电气工程与系统科学 2021-11-12 Chengjian Sun , Jiajun Wu , Chenyang Yang

Bayesian neural networks (BNNs) have developed into useful tools for probabilistic modelling due to recent advances in variational inference enabling large scale BNNs. However, BNNs remain brittle and hard to train, especially: (1) when…

机器学习 · 计算机科学 2019-10-24 Felix McGregor , Arnu Pretorius , Johan du Preez , Steve Kroon

Neural network pruning is useful for discovering efficient, high-performing subnetworks within pre-trained, dense network architectures. More often than not, it involves a three-step process -- pre-training, pruning, and re-training -- that…

PAC-Bayesian analysis is a frequentist framework for incorporating prior knowledge into learning. It was inspired by Bayesian learning, which allows sequential data processing and naturally turns posteriors from one processing step into…

机器学习 · 计算机科学 2025-04-10 Yi-Shan Wu , Yijie Zhang , Badr-Eddine Chérief-Abdellatif , Yevgeny Seldin

A Bayesian belief network is a model of a joint distribution over a finite set of variables, with a DAG structure representing immediate dependencies among the variables. For each node, a table of parameters (CPtable) represents local…

统计方法学 · 统计学 2012-07-19 Peter Hooper

PAC-Bayesian bounds have proven to be a valuable tool for deriving generalization bounds and for designing new learning algorithms in machine learning. However, it typically focus on providing generalization bounds with respect to a chosen…

机器学习 · 统计学 2024-08-19 The Tien Mai

When data are scarce meta-learning can improve a learner's accuracy by harnessing previous experience from related learning tasks. However, existing methods have unreliable uncertainty estimates which are often overconfident. Addressing…

机器学习 · 计算机科学 2022-01-12 Jonas Rothfuss , Dominique Heyn , Jinfan Chen , Andreas Krause

Machine learning algorithms may have disparate impacts on protected groups. To address this, we develop methods for Bayes-optimal fair classification, aiming to minimize classification error subject to given group fairness constraints. We…

机器学习 · 统计学 2025-08-28 Xianli Zeng , Kevin Jiang , Guang Cheng , Edgar Dobriban

Quantifying the uncertainty in the output of a neural network is essential for deployment in scientific or engineering applications where decisions must be made under limited or noisy data. Bayesian neural networks (BNNs) provide a…

机器学习 · 统计学 2026-03-10 Alex Alberts , Ilias Bilionis

Bayesian inference is used extensively to quantify the uncertainty in an inferred field given the measurement of a related field when the two are linked by a mathematical model. Despite its many applications, Bayesian inference faces…

机器学习 · 统计学 2020-03-31 Dhruv V. Patel , Assad A. Oberai