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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…

计算与语言 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

无序系统与神经网络 · 物理学 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)…

计算机视觉与模式识别 · 计算机科学 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…

计算与语言 · 计算机科学 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…

机器学习 · 统计学 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…

机器学习 · 统计学 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…

数据结构与算法 · 计算机科学 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…

统计方法学 · 统计学 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…

最优化与控制 · 数学 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…

计算与语言 · 计算机科学 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…

计算几何 · 计算机科学 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)…

最优化与控制 · 数学 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…

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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算与语言 · 计算机科学 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…

统计计算 · 统计学 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…

计算机视觉与模式识别 · 计算机科学 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.…

机器学习 · 计算机科学 2023-09-27 Viplove Arora , Daniele Irto , Sebastian Goldt , Guido Sanguinetti