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Maximum-likelihood estimation (MLE) is widely used in sequence to sequence tasks for model training. It uniformly treats the generation/prediction of each target token as multi-class classification, and yields non-smooth prediction…

Computation and Language · Computer Science 2018-12-13 Chengyue Gong , Xu Tan , Di He , Tao Qin

We consider the minimization of a sum of a smooth function with a nonsmooth composite function, where the composition is applied on a random linear mapping. This random composite model encompasses many problems, and can especially capture…

Optimization and Control · Mathematics 2024-12-02 Dan Greenstein , Nadav Hallak

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…

Machine Learning · Statistics 2017-03-01 Jun Han , Qiang Liu

In Smyl et al. [Local and global trend Bayesian exponential smoothing models. International Journal of Forecasting, 2024.], a generalised exponential smoothing model was proposed that is able to capture strong trends and volatility in time…

Machine Learning · Computer Science 2024-07-02 Xueying Long , Daniel F. Schmidt , Christoph Bergmeir , Slawek Smyl

Graph Augmentation Learning (GAL) provides outstanding solutions for graph learning in handling incomplete data, noise data, etc. Numerous GAL methods have been proposed for graph-based applications such as social network analysis and…

Machine Learning · Computer Science 2022-03-18 Shuo Yu , Huafei Huang , Minh N. Dao , Feng Xia

Ensemble methods that average over a collection of independent predictors that are each limited to a subsampling of both the examples and features of the training data command a significant presence in machine learning, such as the…

Machine Learning · Statistics 2020-03-26 Daniel LeJeune , Hamid Javadi , Richard G. Baraniuk

Latent Gaussian models (LGMs) are perhaps the most commonly used class of models in statistical applications. Nevertheless, in areas ranging from longitudinal studies in biostatistics to geostatistics, it is easy to find datasets that…

Methodology · Statistics 2022-11-22 Rafael Cabral , David Bolin , Håvard Rue

Generalized Additive Models (GAMs) are widely used explainable-by-design models in various applications. GAMs assume that the output can be represented as a sum of univariate functions, referred to as components. However, this assumption…

Machine Learning · Computer Science 2023-09-22 Vasilis Gkolemis , Anargiros Tzerefos , Theodore Dalamagas , Eirini Ntoutsi , Christos Diou

This article describes a robust algorithm to estimate a conditional probability density f(t|x) as a non-parametric smooth regression function. It is based on a neural network and the Bayesian interpretation of the network output as a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Michael Feindt

We present generalized additive latent and mixed models (GALAMMs) for analysis of clustered data with responses and latent variables depending smoothly on observed variables. A scalable maximum likelihood estimation algorithm is proposed,…

Methodology · Statistics 2023-03-29 Øystein Sørensen , Anders M. Fjell , Kristine B. Walhovd

We propose an extension of Markov-switching generalized additive models for location, scale, and shape (MS-GAMLSS) that allows covariates to influence not only the parameters of the state-dependent distributions but also the state…

Methodology · Statistics 2026-01-08 Katharina Ammann , Timo Adam , Jan-Ole Koslik

Kalman filtering and smoothing are the foundational mechanisms for efficient inference in Gauss-Markov models. However, their time and memory complexities scale prohibitively with the size of the state space. This is particularly…

Machine Learning · Computer Science 2025-03-13 Marvin Pförtner , Jonathan Wenger , Jon Cockayne , Philipp Hennig

In this paper we propose a (non-linear) smoothing algorithm for group-affine observation systems, a recently introduced class of estimation problems on Lie groups that bear a particular structure. As most non-linear smoothing methods, the…

Robotics · Computer Science 2018-08-07 Paul Chauchat , Axel Barrau , Silvère Bonnabel

Randomized smoothing is the primary certified robustness method for accessing the robustness of deep learning models to adversarial perturbations in the l2-norm, by adding isotropic Gaussian noise to the input image and returning the…

Machine Learning · Computer Science 2024-04-09 Chengyan Fu , Wenjie Wang

In the past few years, following the differentiable programming paradigm, there has been a growing interest in computing the gradient information of physical processes (e.g., physical simulation, image rendering). However, such processes…

Robotics · Computer Science 2022-06-24 Quentin Le Lidec , Louis Montaut , Cordelia Schmid , Ivan Laptev , Justin Carpentier

This paper introduces a general method to approximate the convolution of an arbitrary program with a Gaussian kernel. This process has the effect of smoothing out a program. Our compiler framework models intermediate values in the program…

Graphics · Computer Science 2017-06-06 Yuting Yang , Connelly Barnes

Feature attributions are a popular tool for explaining the behavior of Deep Neural Networks (DNNs), but have recently been shown to be vulnerable to attacks that produce divergent explanations for nearby inputs. This lack of robustness is…

Machine Learning · Computer Science 2020-10-23 Zifan Wang , Haofan Wang , Shakul Ramkumar , Matt Fredrikson , Piotr Mardziel , Anupam Datta

We consider the problem of state estimation in general state-space models using variational inference. For a generic variational family defined using the same backward decomposition as the actual joint smoothing distribution, we establish…

Methodology · Statistics 2022-06-02 Mathis Chagneux , Élisabeth Gassiat , Pierre Gloaguen , Sylvain Le Corff

We present a novel technique for amortized posterior estimation using Normalizing Flows trained with likelihood-weighted importance sampling. This approach allows for the efficient inference of theoretical parameters in high-dimensional…

Machine Learning · Computer Science 2026-02-23 Rajneil Baruah

We present a novel Bayesian framework to decompose the posterior predictive variance in a fitted Generalized Additive Mixed Model (GAMM) into explained and unexplained components. This decomposition enables a rigorous definition of Bayesian…

Methodology · Statistics 2024-10-21 Abdollah Jalilian , Aki Vehtari , Luigi Sedda
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