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We show an analysis of multi-dimensional time series via entropy and statistical linguistic techniques. We define three markers encoding the behavior of the series, after it has been translated into a multi-dimensional symbolic sequence.…

多媒体 · 计算机科学 2008-03-05 Marco Franciosi , Giulia Menconi

We propose an unsupervised method to extract keywords and keyphrases from texts based on a pre-trained language model (LM) and Shannon's information maximization. Specifically, our method extracts phrases having the highest conditional…

计算与语言 · 计算机科学 2023-08-31 Alexander Tsvetkov , Alon Kipnis

Natural language sentence matching is the task of comparing two sentences and identifying the relationship between them.It has a wide range of applications in natural language processing tasks such as reading comprehension, question and…

计算与语言 · 计算机科学 2022-03-22 Kexin Jiang , Yahui Zhao , Rongyi Cui , Zhenguo Zhang

In signal analysis and synthesis, linear approximation theory considers a linear decomposition of any given signal in a set of atoms, collected into a so-called dictionary. Relevant sparse representations are obtained by relaxing the…

信息论 · 计算机科学 2014-11-04 Paul Honeine

Attention-based models have recently shown great performance on a range of tasks, such as speech recognition, machine translation, and image captioning due to their ability to summarize relevant information that expands through the entire…

音频与语音处理 · 电气工程与系统科学 2018-02-02 F A Rezaur Rahman Chowdhury , Quan Wang , Ignacio Lopez Moreno , Li Wan

Sparse regression has been a popular approach to perform variable selection and enhance the prediction accuracy and interpretability of the resulting statistical model. Existing approaches focus on offline regularized regression, while the…

机器学习 · 统计学 2023-01-03 Shuoguang Yang , Yuhao Yan , Xiuneng Zhu , Qiang Sun

Large language models achieve strong reasoning performance, yet existing decoding strategies either explore blindly (random sampling) or redundantly (independent multi-sampling). We propose Entropy-Tree, a tree-based decoding method that…

计算与语言 · 计算机科学 2026-01-23 Longxuan Wei , Yubo Zhang , Zijiao Zhang , Zhihu Wang , Shiwan Zhao , Tianyu Huang , Huiting Zhao , Chenfei Liu , Shenao Zhang , Junchi Yan

We consider the weighted least squares spline approximation of a noisy dataset. By interpreting the weights as a probability distribution, we maximize the associated entropy subject to the constraint that the mean squared error is…

数值分析 · 数学 2024-01-19 Luigi Brugnano , Domenico Giordano , Felice Iavernaro , Giorgia Rubino

Spoken communication occurs in a "noisy channel" characterized by high levels of environmental noise, variability within and between speakers, and lexical and syntactic ambiguity. Given these properties of the received linguistic input,…

计算与语言 · 计算机科学 2021-01-26 Stephan C. Meylan , Sathvik Nair , Thomas L. Griffiths

This paper studies the question of how well a signal can be reprsented by a sparse linear combination of reference signals from an overcomplete dictionary. When the dictionary size is exponential in the dimension of signal, then the exact…

信息论 · 计算机科学 2009-05-14 Halyun Jeong , Young-Han Kim

Applying standard statistical methods after model selection may yield inefficient estimators and hypothesis tests that fail to achieve nominal type-I error rates. The main issue is the fact that the post-selection distribution of the data…

统计方法学 · 统计学 2019-05-23 Amit Meir , Mathias Drton

Motivated by robotic surveillance applications, this paper studies the novel problem of maximizing the return time entropy of a Markov chain, subject to a graph topology with travel times and stationary distribution. The return time entropy…

最优化与控制 · 数学 2018-05-29 Xiaoming Duan , Mishel George , Francesco Bullo

We present a trainable model for identifying sentence boundaries in raw text. Given a corpus annotated with sentence boundaries, our model learns to classify each occurrence of ., ?, and ! as either a valid or invalid sentence boundary. The…

cmp-lg · 计算机科学 2008-02-03 Jeffrey C. Reynar , Adwait Ratnaparkhi

Parsing sentences to linguistically-expressive semantic representations is a key goal of Natural Language Processing. Yet statistical parsing has focused almost exclusively on bilexical dependencies or domain-specific logical forms. We…

计算与语言 · 计算机科学 2017-07-28 Jan Buys , Phil Blunsom

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

机器学习 · 统计学 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

Machine learning is the dominant approach to artificial intelligence, through which computers learn from data and experience. In the framework of supervised learning, a necessity for a computer to learn from data accurately and efficiently…

机器学习 · 统计学 2023-01-25 Amir R. Asadi

We revisit test-time scaling for language model reasoning and ask a fundamental question: at equal token budget and compute, is it better to run multiple independent chains in parallel, or to run fewer chains that iteratively refine through…

机器学习 · 计算机科学 2025-11-05 Aman Sharma , Paras Chopra

I formulate an entropy-rate maximization problem at the observable level for stochastic processes observed through an information-reducing observation map. For a visible stationary law, the map determines an observational fiber of hidden…

信息论 · 计算机科学 2026-04-14 Oleg Kiriukhin

Inferring the input parameters of simulators from observations is a crucial challenge with applications from epidemiology to molecular dynamics. Here we show a simple approach in the regime of sparse data and approximately correct models,…

统计方法学 · 统计学 2022-04-06 Rainier Barrett , Mehrad Ansari , Gourab Ghoshal , Andrew D White

Large Language Models (LLMs) have shown impressive abilities in many applications. When a concrete and precise answer is desired, it is important to have a quantitative estimation of the potential error rate. However, this can be…

计算与语言 · 计算机科学 2024-12-20 Theodore Zhao , Mu Wei , J. Samuel Preston , Hoifung Poon