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Inference-time scaling has proven effective in boosting large language model (LLM) performance through increased test-time computation. Yet, its practical application is often hindered by reliance on external verifiers or a lack of…

Computation and Language · Computer Science 2025-06-23 Fei Wang , Xingchen Wan , Ruoxi Sun , Jiefeng Chen , Sercan Ö. Arık

Recently, it was demonstrated in [CS2012,CS2013] that the robustness of the classical Non-Local Means (NLM) algorithm [BCM2005] can be improved by incorporating $\ell^p (0 < p \leq 2)$ regression into the NLM framework. This general…

Computer Vision and Pattern Recognition · Computer Science 2015-06-15 Kunal N. Chaudhury

One of the crucial tasks in many inference problems is the extraction of sparse information out of a given number of high-dimensional measurements. In machine learning, this is frequently achieved using, as a penality term, the $L_p$ norm…

Disordered Systems and Neural Networks · Physics 2012-02-09 Alejandro Lage-Castellanos , Andrea Pagnani , Martin Weigt

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

While fine-tuning pre-trained models for downstream classification is the conventional paradigm in NLP, often task-specific nuances may not get captured in the resultant models. Specifically, for tasks that take two inputs and require the…

Computation and Language · Computer Science 2022-03-28 Ashutosh Kumar , Aditya Joshi

Kernel $k$-means clustering is a powerful tool for unsupervised learning of non-linearly separable data. Since the earliest attempts, researchers have noted that such algorithms often become trapped by local minima arising from…

Machine Learning · Statistics 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

Semidefinite programming (SDP) is a powerful tool for tackling a wide range of computationally hard problems such as clustering. Despite the high accuracy, semidefinite programs are often too slow in practice with poor scalability on large…

Machine Learning · Statistics 2022-02-10 Yubo Zhuang , Xiaohui Chen , Yun Yang

Makespan minimization (on parallel identical or unrelated machines) is arguably the most natural and studied scheduling problem. A common approach in practical algorithm design is to reduce the size of a given instance by a fast…

Data Structures and Algorithms · Computer Science 2020-03-05 Dušan Knop , Martin Koutecký

As Basu (1977) writes, "Eliminating nuisance parameters from a model is universally recognized as a major problem of statistics," but after more than 50 years since Basu wrote these words, the two mainstream schools of thought in statistics…

Methodology · Statistics 2023-09-26 Ryan Martin

We introduce a mini-batch stochastic variance-reduced algorithm to solve finite-sum scale invariant problems which cover several examples in machine learning and statistics such as principal component analysis (PCA) and estimation of…

Optimization and Control · Mathematics 2023-04-25 Cheolmin Kim , Youngseok Kim , Diego Klabjan

Quantization, knowledge distillation, and magnitude pruning are among the most popular methods for neural network compression in NLP. Independently, these methods reduce model size and can accelerate inference, but their relative benefit…

Computation and Language · Computer Science 2022-08-23 Rajiv Movva , Jinhao Lei , Shayne Longpre , Ajay Gupta , Chris DuBois

In the Sparse Linear Regression (SLR) problem, given a $d \times n$ matrix $M$ and a $d$-dimensional query $q$, the goal is to compute a $k$-sparse $n$-dimensional vector $\tau$ such that the error $||M \tau-q||$ is minimized. This problem…

Computational Geometry · Computer Science 2018-05-01 Sariel Har-Peled , Piotr Indyk , Sepideh Mahabadi

Nonnegative matrix factorization (NMF) is a standard linear dimensionality reduction technique for nonnegative data sets. In order to measure the discrepancy between the input data and the low-rank approximation, the Kullback-Leibler (KL)…

Optimization and Control · Mathematics 2021-05-12 Le Thi Khanh Hien , Nicolas Gillis

We propose a method to improve the efficiency and accuracy of amortized Bayesian inference by leveraging universal symmetries in the joint probabilistic model of parameters and data. In a nutshell, we invert Bayes' theorem and estimate the…

Machine Learning · Computer Science 2024-07-24 Marvin Schmitt , Desi R. Ivanova , Daniel Habermann , Ullrich Köthe , Paul-Christian Bürkner , Stefan T. Radev

Recently, a race towards the simplification of deep networks has begun, showing that it is effectively possible to reduce the size of these models with minimal or no performance loss. However, there is a general lack in understanding why…

Machine Learning · Computer Science 2022-12-29 Enzo Tartaglione , Andrea Bragagnolo , Marco Grangetto

Denoising diffusion models have been a mainstream approach for image generation, however, training these models often suffers from slow convergence. In this paper, we discovered that the slow convergence is partly due to conflicting…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Tiankai Hang , Shuyang Gu , Chen Li , Jianmin Bao , Dong Chen , Han Hu , Xin Geng , Baining Guo

Large language models (LLMs) can solve challenging tasks. However, their inference computation on modern GPUs is highly inefficient due to the increasing number of tokens they must attend to as they generate new ones. To address this…

Computation and Language · Computer Science 2024-04-16 Tian Jin , Wanzin Yazar , Zifei Xu , Sayeh Sharify , Xin Wang

In some cases, computational benefit can be gained by exploring the hyper parameter space using a deterministic set of grid points instead of a Markov chain. We view this as a numerical integration problem and make three unique…

Computation · Statistics 2016-09-30 Chaitanya Joshi , Paul T. Brown , Stephen Joe

Vision-language models (VLMs) have shown remarkable success across various multi-modal tasks, yet large VLMs encounter significant efficiency challenges due to processing numerous visual tokens. A promising approach to accelerating large…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Wangbo Zhao , Yizeng Han , Jiasheng Tang , Zhikai Li , Yibing Song , Kai Wang , Zhangyang Wang , Yang You

Pruning deep neural networks is a widely used strategy to alleviate the computational burden in machine learning. Overwhelming empirical evidence suggests that pruned models retain very high accuracy even with a tiny fraction of parameters.…

Machine Learning · Computer Science 2023-09-27 Viplove Arora , Daniele Irto , Sebastian Goldt , Guido Sanguinetti