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Model-based clustering methods for continuous data are well established and commonly used in a wide range of applications. However, model-based clustering methods for categorical data are less standard. Latent class analysis is a commonly…

统计方法学 · 统计学 2013-02-20 Isabella Gollini , Thomas Brendan Murphy

Grounded language models use external sources of information, such as knowledge graphs, to meet some of the general challenges associated with pre-training. By extending previous work on compositional generalization in semantic parsing, we…

Binary quantization approaches, which replace weight matrices with binary matrices and substitute costly multiplications with cheaper additions, offer a computationally efficient approach to address the increasing computational and storage…

机器学习 · 计算机科学 2026-03-03 Vladimír Boža , Vladimír Macko

We introduce a Bayesian perspective for the structured matrix factorization problem. The proposed framework provides a probabilistic interpretation for existing geometric methods based on determinant minimization. We model input data…

机器学习 · 计算机科学 2023-02-17 Gokcan Tatli , Alper T. Erdogan

In recent years, language models have become increasingly larger and more complex. However, the input representations for these models continue to rely on simple and greedy subword tokenization methods. In this paper, we propose a novel…

计算与语言 · 计算机科学 2023-06-14 David Samuel , Lilja Øvrelid

In this thesis, we investigate three problems involving the probabilistic modeling of language: smoothing n-gram models, statistical grammar induction, and bilingual sentence alignment. These three problems employ models at three different…

cmp-lg · 计算机科学 2008-02-03 Stanley F. Chen

We are often interested in decomposing complex, structured data into simple components that explain the data. The linear version of this problem is well-studied as dictionary learning and factor analysis. In this work, we propose a…

机器学习 · 计算机科学 2024-07-29 Avrim Blum , Kavya Ravichandran

We consider several novel aspects of unique factorization in formal languages. We reprove the familiar fact that the set uf(L) of words having unique factorization into elements of L is regular if L is regular, and from this deduce an…

形式语言与自动机理论 · 计算机科学 2015-03-24 Paul Bell , Daniel Reidenbach , Jeffrey Shallit

Boolean matrix factorization is a natural and a popular technique for summarizing binary matrices. In this paper, we study a problem of Boolean matrix factorization where we additionally require that the factor matrices have consecutive…

数据结构与算法 · 计算机科学 2019-05-16 Nikolaj Tatti , Pauli Miettinen

Speech signals are complex composites of various information, including phonetic content, speaker traits, channel effect, etc. Decomposing this complicated mixture into independent factors, i.e., speech factorization, is fundamentally…

声音 · 计算机科学 2019-10-30 Haoran Sun , Yunqi Cai , Lantian Li , Dong Wang

Matrix factorization has found incredible success and widespread application as a collaborative filtering based approach to recommendations. Unfortunately, incorporating additional sources of evidence, especially ones that are incomplete…

机器学习 · 计算机科学 2015-04-24 Nitish Gupta , Sameer Singh

When factorizing binary matrices, we often have to make a choice between using expensive combinatorial methods that retain the discrete nature of the data and using continuous methods that can be more efficient but destroy the discrete…

离散数学 · 计算机科学 2016-10-07 Stefan Neumann , Rainer Gemulla , Pauli Miettinen

Modern data science applications often involve complex relational data with dynamic structures. An abrupt change in such dynamic relational data is typically observed in systems that undergo regime changes due to interventions. In such a…

统计方法学 · 统计学 2024-07-16 Peng Zhao , Anirban Bhattacharya , Debdeep Pati , Bani K. Mallick

Learning multimodal representations is a fundamentally complex research problem due to the presence of multiple heterogeneous sources of information. Although the presence of multiple modalities provides additional valuable information,…

机器学习 · 计算机科学 2019-05-15 Yao-Hung Hubert Tsai , Paul Pu Liang , Amir Zadeh , Louis-Philippe Morency , Ruslan Salakhutdinov

Multiple rotation averaging plays a crucial role in computer vision and robotics domains. The conventional optimization-based methods optimize a nonlinear cost function based on certain noise assumptions, while most previous learning-based…

计算机视觉与模式识别 · 计算机科学 2024-09-17 Shiqi Li , Jihua Zhu , Yifan Xie , Naiwen Hu , Mingchen Zhu , Zhongyu Li , Di Wang

We propose a new modeling approach that is a generalization of generative and discriminative models. The core idea is to use an implicit parameterization of a joint probability distribution by specifying only the conditional distributions.…

机器学习 · 计算机科学 2016-12-06 Dmitrij Schlesinger , Carsten Rother

Factor models are a very efficient way to describe high dimensional vectors of data in terms of a small number of common relevant factors. This problem, which is of fundamental importance in many disciplines, is usually reformulated in…

最优化与控制 · 数学 2018-06-13 Valentina Ciccone , Augusto Ferrante , Mattia Zorzi

Training large language models with data collected from various domains can improve their performance on downstream tasks. However, given a fixed training budget, the sampling proportions of these different domains significantly impact the…

计算与语言 · 计算机科学 2025-05-29 Yajiao Liu , Congliang Chen , Junchi Yang , Ruoyu Sun

We propose Factorization Memory, an efficient recurrent neural network (RNN) architecture that achieves performance comparable to Transformer models on short-context language modeling tasks while also demonstrating superior generalization…

计算与语言 · 计算机科学 2025-11-04 Lee Xiong , Maksim Tkachenko , Johanes Effendi , Ting Cai

Foundation models pretrained on diverse data at scale have demonstrated extraordinary capabilities in a wide range of vision and language tasks. When such models are deployed in real world environments, they inevitably interface with other…

人工智能 · 计算机科学 2023-03-08 Sherry Yang , Ofir Nachum , Yilun Du , Jason Wei , Pieter Abbeel , Dale Schuurmans