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One of the central tasks in many-body physics is the determination of phase diagrams. However, mapping out a phase diagram generally requires a great deal of human intuition and understanding. To automate this process, one can frame it as a…

Quantum Physics · Physics 2024-05-20 Julian Arnold , Frank Schäfer , Alan Edelman , Christoph Bruder

Performing optimal Bayesian design for discriminating between competing models is computationally intensive as it involves estimating posterior model probabilities for thousands of simulated datasets. This issue is compounded further when…

Methodology · Statistics 2022-04-07 Markus Hainy , David J. Price , Olivier Restif , Christopher Drovandi

The proposed method, Discriminator Guidance, aims to improve sample generation of pre-trained diffusion models. The approach introduces a discriminator that gives explicit supervision to a denoising sample path whether it is realistic or…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Dongjun Kim , Yeongmin Kim , Se Jung Kwon , Wanmo Kang , Il-Chul Moon

This paper studies probability distributions of penultimate activations of classification networks. We show that, when a classification network is trained with the cross-entropy loss, its final classification layer forms a…

Machine Learning · Computer Science 2021-07-07 Minkyo Seo , Yoonho Lee , Suha Kwak

Predictive coding (PC) networks are a biologically interesting class of neural networks. Their layered hierarchy mimics the reciprocal connectivity pattern observed in the mammalian cortex, and they can be trained using local learning rules…

Neural and Evolutionary Computing · Computer Science 2019-10-29 Jeff Orchard , Wei Sun

Generative diffusion models synthesize new samples by reversing a diffusive process that converts a given data set to generic noise. This is accomplished by training a neural network to match the gradient of the log of the probability…

Machine Learning · Computer Science 2023-10-11 Akhil Premkumar

The linear classifier is widely used in various image classification tasks. It works by optimizing the distance between a sample and its corresponding class center. However, in real-world data, one class can contain several local clusters,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Zhemin Zhang , Xun Gong

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

Artificial Intelligence · Computer Science 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

As machine learning is increasingly used to make real-world decisions, recent research efforts aim to define and ensure fairness in algorithmic decision making. Existing methods often assume a fixed set of observable features to define…

Machine Learning · Computer Science 2020-05-11 YooJung Choi , Golnoosh Farnadi , Behrouz Babaki , Guy Van den Broeck

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…

Machine Learning · Statistics 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

Supervised learning, characterized by both discriminative and generative learning, seeks to predict the values of single (or sometimes multiple) predefined target attributes based on a predefined set of predictor attributes. For…

Machine Learning · Computer Science 2020-11-13 Yuan Jin , Wray Buntine , Francois Petitjean , Geoffrey I. Webb

We introduce a new generative model where samples are produced via Langevin dynamics using gradients of the data distribution estimated with score matching. Because gradients can be ill-defined and hard to estimate when the data resides on…

Machine Learning · Computer Science 2020-10-13 Yang Song , Stefano Ermon

Neural Processes (NPs) are a family of conditional generative models that are able to model a distribution over functions, in a way that allows them to perform predictions at test time conditioned on a number of context points. A recent…

Machine Learning · Computer Science 2021-06-14 Jens Petersen , Gregor Köhler , David Zimmerer , Fabian Isensee , Paul F. Jäger , Klaus H. Maier-Hein

Credit scoring models based on accepted applications may be biased and their consequences can have a statistical and economic impact. Reject inference is the process of attempting to infer the creditworthiness status of the rejected…

Computational Finance · Quantitative Finance 2021-09-27 Rogelio A. Mancisidor , Michael Kampffmeyer , Kjersti Aas , Robert Jenssen

While generative models have proved successful in many domains, they may pose a privacy leakage risk in practical deployment. To address this issue, differentially private generative model learning has emerged as a solution to train private…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Bochao Liu , Pengju Wang , Weijia Guo , Yong Li , Liansheng Zhuang , Weiping Wang , Shiming Ge

Deep neural networks excel at function approximation, yet they are typically trained from scratch for each new function. On the other hand, Bayesian methods, such as Gaussian Processes (GPs), exploit prior knowledge to quickly infer the…

Model misspecification is a long-standing enigma of the Bayesian inference framework as posteriors tend to get overly concentrated on ill-informed parameter values towards the large sample limit. Tempering of the likelihood has been…

Methodology · Statistics 2019-12-13 Owen Thomas , Jukka Corander

Markov chain Monte Carlo (MCMC) allows one to generate dependent replicates from a posterior distribution for effectively any Bayesian hierarchical model. However, MCMC can produce a significant computational burden. This motivates us to…

Methodology · Statistics 2023-05-22 Jonathan R. Bradley , Madelyn Clinch

This study aims to show the fundamental difference between logistic regression and Bayesian classifiers in the case of exponential and unexponential families of distributions, yielding the following findings. First, the logistic regression…

Econometrics · Economics 2021-08-10 Roman V. Kirin

Generative adversarial networks (GANs) provide an algorithmic framework for constructing generative models with several appealing properties: they do not require a likelihood function to be specified, only a generating procedure; they…

Machine Learning · Statistics 2017-02-28 Shakir Mohamed , Balaji Lakshminarayanan