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This paper is concerned with the computational complexity of learning the Hidden Markov Model (HMM). Although HMMs are some of the most widely used tools in sequential and time series modeling, they are cryptographically hard to learn in…

Machine Learning · Computer Science 2024-02-27 Sham M. Kakade , Akshay Krishnamurthy , Gaurav Mahajan , Cyril Zhang

The hidden Markov model (HMM) is a fundamental tool for sequence modeling that cleanly separates the hidden state from the emission structure. However, this separation makes it difficult to fit HMMs to large datasets in modern NLP, and they…

Computation and Language · Computer Science 2020-11-10 Justin T. Chiu , Alexander M. Rush

Hidden Markov Models (HMMs) are foundational tools for modeling sequential data with latent Markovian structure, yet fitting them to real-world data remains computationally challenging. In this work, we show that pre-trained large language…

Machine Learning · Computer Science 2026-04-27 Yijia Dai , Zhaolin Gao , Yahya Sattar , Sarah Dean , Jennifer J. Sun

Structured distributions, i.e. distributions over combinatorial spaces, are commonly used to learn latent probabilistic representations from observed data. However, scaling these models is bottlenecked by the high computational and memory…

Computation and Language · Computer Science 2022-01-11 Justin T. Chiu , Yuntian Deng , Alexander M. Rush

Hidden Markov Models (HMMs) are one of the most fundamental and widely used statistical tools for modeling discrete time series. In general, learning HMMs from data is computationally hard (under cryptographic assumptions), and…

Machine Learning · Computer Science 2012-07-10 Daniel Hsu , Sham M. Kakade , Tong Zhang

Language models based on deep neural networks and traditional stochastic modelling have become both highly functional and effective in recent times. In this work, a general survey into the two types of language modelling is conducted. We…

Machine Learning · Computer Science 2021-03-02 Larkin Liu , Yu-Chung Lin , Joshua Reid

Pretrained language models have achieved state-of-the-art performance when adapted to a downstream NLP task. However, theoretical analysis of these models is scarce and challenging since the pretraining and downstream tasks can be very…

Machine Learning · Computer Science 2022-04-22 Colin Wei , Sang Michael Xie , Tengyu Ma

As deep neural networks continue to revolutionize various application domains, there is increasing interest in making these powerful models more understandable and interpretable, and narrowing down the causes of good and bad predictions. We…

Machine Learning · Statistics 2016-11-21 Viktoriya Krakovna , Finale Doshi-Velez

Large Language Models (LLMs) based on the pre-trained fine-tuning paradigm have become pivotal in solving natural language processing tasks, consistently achieving state-of-the-art performance. Nevertheless, the theoretical understanding of…

Machine Learning · Computer Science 2024-10-02 Jing Luo , Huiyuan Wang , Weiran Huang

In learning-based functionality stealing, the attacker is trying to build a local model based on the victim's outputs. The attacker has to make choices regarding the local model's architecture, optimization method and, specifically for NLP…

Computation and Language · Computer Science 2024-01-30 Vilém Zouhar

The Hidden Markov Model (HMM) is one of the most widely used statistical models for sequential data analysis. One of the key reasons for this versatility is the ability of HMM to deal with missing data. However, standard HMM learning…

Machine Learning · Statistics 2023-07-04 Binyamin Perets , Mark Kozdoba , Shie Mannor

As deep neural networks continue to revolutionize various application domains, there is increasing interest in making these powerful models more understandable and interpretable, and narrowing down the causes of good and bad predictions. We…

Machine Learning · Statistics 2016-10-04 Viktoriya Krakovna , Finale Doshi-Velez

The increasing reliance on large language models (LLMs) such as ChatGPT in various fields emphasizes the importance of ``prompt engineering,'' a technology to improve the quality of model outputs. With companies investing significantly in…

Cryptography and Security · Computer Science 2024-02-21 Zeyang Sha , Yang Zhang

Hidden Markov models (HMMs) and partially observable Markov decision processes (POMDPs) form a useful tool for modeling dynamical systems. They are particularly useful for representing environments such as road networks and office…

Artificial Intelligence · Computer Science 2013-01-30 Hagit Shatkay

Recent advances in Large Language Models (LLMs) have opened new perspectives for automation in optimization. While several studies have explored how LLMs can generate or solve optimization models, far less is understood about what these…

Artificial Intelligence · Computer Science 2025-12-16 Francesca Da Ros , Luca Di Gaspero , Kevin Roitero

We introduce the Reduced-Rank Hidden Markov Model (RR-HMM), a generalization of HMMs that can model smooth state evolution as in Linear Dynamical Systems (LDSs) as well as non-log-concave predictive distributions as in…

Machine Learning · Computer Science 2009-12-23 Sajid M. Siddiqi , Byron Boots , Geoffrey J. Gordon

The impact of randomness on model training is poorly understood. How do differences in data order and initialization actually manifest in the model, such that some training runs outperform others or converge faster? Furthermore, how can we…

Machine Learning · Computer Science 2024-01-23 Michael Y. Hu , Angelica Chen , Naomi Saphra , Kyunghyun Cho

Hyperparameters are critical in machine learning, as different hyperparameters often result in models with significantly different performance. Hyperparameters may be deemed confidential because of their commercial value and the…

Cryptography and Security · Computer Science 2019-09-10 Binghui Wang , Neil Zhenqiang Gong

Recently, large language models (LLMs) have emerged as a notable field, attracting significant attention for its ability to automatically generate intelligent contents for various application domains. However, LLMs still suffer from…

Cryptography and Security · Computer Science 2024-04-29 Kongyang Chen , Zixin Wang , Bing Mi , Waixi Liu , Shaowei Wang , Xiaojun Ren , Jiaxing Shen

We aim to model unknown file processing. As the content of log files often evolves over time, we established a dynamic statistical model which learns and adapts processing and parsing rules. First, we limit the amount of unstructured text…

Machine Learning · Computer Science 2020-01-07 Nadine Kuhnert , Andreas Maier
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