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We present a probabilistic viewpoint to multiple kernel learning unifying well-known regularised risk approaches and recent advances in approximate Bayesian inference relaxations. The framework proposes a general objective function suitable…

Machine Learning · Statistics 2012-06-08 Hannes Nickisch , Matthias Seeger

We introduce a new compositional framework for generalized variational inference, clarifying the different parts of a model, how they interact, and how they compose. We explain that both exact Bayesian inference and the loss functions…

Machine Learning · Statistics 2025-03-26 Toby St Clere Smithe , Marco Perin

Probabilistic programs are a powerful and convenient approach to formalise distributions over system executions. A classical verification problem for probabilistic programs is temporal inference: to compute the likelihood that the execution…

Logic in Computer Science · Computer Science 2025-02-21 Kazuki Watanabe , Sebastian Junges , Jurriaan Rot , Ichiro Hasuo

In a Systems Engineering setting, various models are produced using a variety of methods and tools. Focusing on a type of models -- called descriptive models -- which we shall describe, we argue that, while the clarity and precision of…

Systems and Control · Electrical Eng. & Systems 2022-07-29 Freddy Kamdem Simo , Dominique Ernadote , Dominique Lenne

Biological systems are often modeled as a system of ordinary differential equations (ODEs) with time-invariant parameters. However, cell signaling events or pharmacological interventions may alter the cellular state and induce multi-mode…

Quantitative Methods · Quantitative Biology 2020-04-28 Bing Liu

To improve the predictability of complex computational models in the experimentally-unknown domains, we propose a Bayesian statistical machine learning framework utilizing the Dirichlet distribution that combines results of several…

Methodology · Statistics 2023-11-06 Vojtech Kejzlar , Léo Neufcourt , Witold Nazarewicz

We present a unified probabilistic gradient boosting framework for regression tasks that models and predicts the entire conditional distribution of a univariate response variable as a function of covariates. Our likelihood-based approach…

Machine Learning · Statistics 2022-04-05 Alexander März , Thomas Kneib

Post-hoc interpretability methods typically attribute a model's behavior to its components, data, or training trajectory in isolation. This leads to explanations that lack a unified view and may miss key interactions. While combining…

Machine Learning · Computer Science 2025-10-02 Florian Eichin , Yupei Du , Philipp Mondorf , Maria Matveev , Barbara Plank , Michael A. Hedderich

Given (small amounts of) time-series' data from a high-dimensional, fine-grained, multiscale dynamical system, we propose a generative framework for learning an effective, lower-dimensional, coarse-grained dynamical model that is predictive…

Machine Learning · Statistics 2021-01-18 Sebastian Kaltenbach , Phaedon-Stelios Koutsourelakis

As businesses, products, and services spring up around large language models, the trustworthiness of these models hinges on the verifiability of their outputs. However, methods for explaining language model outputs largely fall across two…

Computation and Language · Computer Science 2023-11-22 Theodora Worledge , Judy Hanwen Shen , Nicole Meister , Caleb Winston , Carlos Guestrin

Protein structure prediction remains a challenge in the field of computational biology. Traditional protein structure prediction approaches include template-based modelling (say, homology modelling, and threading), and ab initio. A…

Other Quantitative Biology · Quantitative Biology 2015-07-14 Jianwei Zhu , Haicang Zhang , Chao Wang , Bin Ling , Wei-Mou Zheng , Dongbo Bu

Many scientific and engineering systems exhibit intrinsically multimodal behavior arising from latent regime switching and non-unique physical mechanisms. In such settings, learning the full conditional distribution of admissible outcomes…

Machine Learning · Computer Science 2026-02-12 Jinkyo Han , Bahador Bahmani

Mathematical models of biological populations commonly use discrete structure classes to capture trait variation among individuals (e.g. age, size, phenotype, intracellular state). Upscaling these discrete models into continuum descriptions…

Populations and Evolution · Quantitative Biology 2026-03-18 Eleonora Agostinelli , Keith L. Chambers , Helen M. Byrne , Mohit P. Dalwadi

Experimental validation of chemical processes is slow and costly, limiting exploration in materials discovery. Machine learning can prioritize promising candidates, but existing data in patents and literature is heterogeneous and difficult…

Chemical Physics · Physics 2025-12-09 Mikhail Tsitsvero , Atsuyuki Nakao , Hisaki Ikebata

Directed evolution plays an indispensable role in protein engineering that revises existing protein sequences to attain new or enhanced functions. Accurately predicting the effects of protein variants necessitates an in-depth understanding…

Quantitative Methods · Quantitative Biology 2023-06-09 Yang Tan , Bingxin Zhou , Yuanhong Jiang , Yu Guang Wang , Liang Hong

In this paper, we propose and evaluate the performance of a unified computational framework for preconditioning systems of linear equations resulting from the solution of coupled problems with monolithic schemes. The framework is composed…

Numerical Analysis · Mathematics 2016-08-24 Francesc Verdugo , Wolfgang A. Wall

Understanding the generalization behavior of deep neural networks remains a fundamental challenge in modern statistical learning theory. Among existing approaches, PAC-Bayesian norm-based bounds have demonstrated particular promise due to…

Machine Learning · Statistics 2026-01-14 Xinping Yi , Gaojie Jin , Xiaowei Huang , Shi Jin

Understanding why a model makes a certain prediction can be as crucial as the prediction's accuracy in many applications. However, the highest accuracy for large modern datasets is often achieved by complex models that even experts struggle…

Artificial Intelligence · Computer Science 2017-11-28 Scott Lundberg , Su-In Lee

Normalizing flows, diffusion normalizing flows and variational autoencoders are powerful generative models. This chapter provides a unified framework to handle these approaches via Markov chains. We consider stochastic normalizing flows as…

Machine Learning · Computer Science 2023-02-06 Paul Hagemann , Johannes Hertrich , Gabriele Steidl

Fine-tuning pre-trained language models, particularly large language models, demands extensive computing resources and can result in varying performance outcomes across different domains and datasets. This paper examines the approach of…

Computation and Language · Computer Science 2024-06-19 Guodong Du , Jing Li , Hanting Liu , Runhua Jiang , Shuyang Yu , Yifei Guo , Sim Kuan Goh , Ho-Kin Tang