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In this paper, we study the problem of inferring time-varying Markov random fields (MRF), where the underlying graphical model is both sparse and changes sparsely over time. Most of the existing methods for the inference of time-varying…

Machine Learning · Computer Science 2021-02-09 Salar Fattahi , Andres Gomez

Methods for inference and simulation of linearly constrained Gaussian Markov Random Fields (GMRF) are computationally prohibitive when the number of constraints is large. In some cases, such as for intrinsic GMRFs, they may even be…

Methodology · Statistics 2021-06-04 David Bolin , Jonas Wallin

In this paper, we study the problem of inferring spatially-varying Gaussian Markov random fields (SV-GMRF) where the goal is to learn a network of sparse, context-specific GMRFs representing network relationships between genes. An important…

Applications · Statistics 2022-06-22 Visweswaran Ravikumar , Tong Xu , Wajd N. Al-Holou , Salar Fattahi , Arvind Rao

The rising energy demands of machine learning (ML), e.g., implemented in popular variants like retrieval-augmented generation (RAG) systems, have raised significant concerns about their environmental sustainability. While previous research…

Software Engineering · Computer Science 2026-01-13 Zhinuan Guo , Chushu Gao , Justus Bogner

This review explores the application of intelligent optimization algorithms to Multi-Objective Optimal Power Flow (MOPF) in enhancing modern power systems. It delves into the challenges posed by the integration of renewables, smart grids,…

Neural and Evolutionary Computing · Computer Science 2024-08-06 Yuyan Li

Minimisation of discrete energies defined over factors is an important problem in computer vision, and a vast number of MAP inference algorithms have been proposed. Different inference algorithms perform better on factor graph models (GMs)…

Computer Vision and Pattern Recognition · Computer Science 2016-08-10 Paul Henderson , Vittorio Ferrari

Many recent advances in computer vision have demonstrated the impressive power of dense and nonsubmodular energy functions in solving visual labeling problems. However, minimizing such energies is challenging. None of existing techniques…

Computer Vision and Pattern Recognition · Computer Science 2014-05-20 Wei Feng , Jiaya Jia , Zhi-Qiang Liu

We study the problem of inferring sparse time-varying Markov random fields (MRFs) with different discrete and temporal regularizations on the parameters. Due to the intractability of discrete regularization, most approaches for solving this…

Optimization and Control · Mathematics 2023-07-27 Salar Fattahi , Andres Gomez

We study a general class of convex submodular optimization problems with indicator variables. Many applications such as the problem of inferring Markov random fields (MRFs) with a sparsity or robustness prior can be naturally modeled in…

Optimization and Control · Mathematics 2025-07-09 Shaoning Han , Andrés Gómez

We study a general class of convex submodular optimization problems with indicator variables. Many applications such as the problem of inferring Markov random fields (MRFs) with a sparsity or robustness prior can be naturally modeled in…

Optimization and Control · Mathematics 2025-07-08 Andres Gomez , Shaoning Han

In this paper we address the problem of finding the most probable state of a discrete Markov random field (MRF), also known as the MRF energy minimization problem. The task is known to be NP-hard in general and its practical importance…

Computer Vision and Pattern Recognition · Computer Science 2015-01-16 Anton Osokin , Dmitry Vetrov

This paper presents a novel approach that combines the Deep Ritz Method (DRM) with Fourier feature mapping to solve minimization problems comprised of multi-well, non-convex energy potentials. These problems present computational challenges…

Machine Learning · Computer Science 2025-02-12 Ensela Mema , Ting Wang , Jaroslaw Knap

Energy minimization methods are a classical tool in a multitude of computer vision applications. While they are interpretable and well-studied, their regularity assumptions are difficult to design by hand. Deep learning techniques on the…

Optimization and Control · Mathematics 2019-08-20 Jonas Geiping , Michael Moeller

Incremental methods for structure learning of pairwise Markov random fields (MRFs), such as grafting, improve scalability by avoiding inference over the entire feature space in each optimization step. Instead, inference is performed over an…

Machine Learning · Computer Science 2018-05-22 Walid Chaabene , Bert Huang

Large language models have significantly transformed multiple fields with their exceptional performance in natural language tasks, but their deployment in resource-constrained environments like edge networks presents an ongoing challenge.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Aria Khoshsirat , Giovanni Perin , Michele Rossi

Many convex optimization problems with important applications in machine learning are formulated as empirical risk minimization (ERM). There are several examples: linear and logistic regression, LASSO, kernel regression, quantile…

Machine Learning · Computer Science 2023-05-30 Song Bian , Zhao Song , Junze Yin

Efficient benchmarking techniques aim to lower the computational cost of evaluating LLMs by predicting full benchmark scores using only a subset of a benchmark's questions. By reframing this problem as an instance of multiple regression…

Machine Learning · Statistics 2026-05-26 Sam Bowyer , Acyr Locatelli , Kris Cao

Recently, the reasoning capabilities of large reasoning models (LRMs), such as DeepSeek-R1, have seen significant advancements through the slow thinking process. Despite these achievements, the substantial computational demands of LRMs…

Artificial Intelligence · Computer Science 2025-04-15 Chengyu Wang , Taolin Zhang , Richang Hong , Jun Huang

As large language models (LLMs) scale in size and adoption, their computational and environmental costs continue to rise. Prior benchmarking efforts have primarily focused on latency reduction in idealized settings, often overlooking the…

Computation and Language · Computer Science 2025-04-25 Jared Fernandez , Clara Na , Vashisth Tiwari , Yonatan Bisk , Sasha Luccioni , Emma Strubell

Neural Radiance Field (NeRF) and its variants have recently emerged as successful methods for novel view synthesis and 3D scene reconstruction. However, most current NeRF models either achieve high accuracy using large model sizes, or…

Computer Vision and Pattern Recognition · Computer Science 2024-10-16 Shiran Yuan , Hao Zhao
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