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We introduce a new criterion to determine the order of an autoregressive model fitted to time series data. It has the benefits of the two well-known model selection techniques, the Akaike information criterion and the Bayesian information…

Statistics Theory · Mathematics 2016-08-25 Jie Ding , Vahid Tarokh , Yuhong Yang

We consider regression models with data of the type $y_i=m(x_i)+\varepsilon_i$, where the $m(x)$ curve is taken locally constant, with unknown levels and jump points. We investigate the large-sample properties of the minimum least squares…

Methodology · Statistics 2026-02-26 Steffen Grønneberg , Gudmund Hermansen , Nils Lid Hjort

We present a review of high-performance automatic modulation recognition (AMR) models proposed in the literature to classify various Radio Frequency (RF) modulation schemes. We replicated these models and compared their performance in terms…

Machine Learning · Computer Science 2025-02-19 Elaheh Jafarigol , Behnoud Alaghband , Azadeh Gilanpour , Saeid Hosseinipoor , Mirhamed Mirmozafari

Tiny Recursive Models (TRM) were proposed as a parameter-efficient alternative to large language models for solving Abstraction and Reasoning Corpus (ARC) style tasks. The original work reports strong performance and suggests that recursive…

Machine Learning · Computer Science 2026-01-12 Antonio Roye-Azar , Santiago Vargas-Naranjo , Dhruv Ghai , Nithin Balamurugan , Rayan Amir

In the past decades, model averaging (MA) has attracted much attention as it has emerged as an alternative tool to the model selection (MS) statistical approach. Hansen [Econometrica 75 (2007) 1175--1189] introduced a Mallows model…

Statistics Theory · Mathematics 2024-04-09 Jingfu Peng , Yang Li , Yuhong Yang

With the rapid development of Large Language Models (LLMs), aligning these models with human preferences and values is critical to ensuring ethical and safe applications. However, existing alignment techniques such as RLHF or DPO often…

Computation and Language · Computer Science 2025-08-19 Yang Zhang , Yu Yu , Bo Tang , Yu Zhu , Chuxiong Sun , Wenqiang Wei , Jie Hu , Zipeng Xie , Zhiyu Li , Feiyu Xiong , Edward Chung

In the signal processing and statistics literature, the minimum description length (MDL) principle is a popular tool for choosing model complexity. Successful examples include signal denoising and variable selection in linear regression,…

Signal Processing · Electrical Eng. & Systems 2022-01-28 Zhenyu Wei , Raymond K. W. Wong , Thomas C. M. Lee

This paper uses a minimum divergence framework to introduce a new way of calculating model weights that can be used to average probabilistic predictions from statistical and machine learning models. The method is general and can be applied…

Machine Learning · Statistics 2026-04-28 Olav Benjamin Vassend

Using predictive adaptive arithmetic coding and the Minimum Description Length principle, we derive an efficient tool for model selection problems : the RIC information criterion. We then present an extension of these coding techniques to…

Methodology · Statistics 2007-05-23 Guilhem Coq , Olivier Alata , Marc Arnaudon , Christian Olivier

Akaike's information criterion (AIC) is a measure of the quality of a statistical model for a given set of data. We can determine the best statistical model for a particular data set by the minimization of the AIC. Since we need to evaluate…

Optimization and Control · Mathematics 2019-11-21 Keiji Kimura , Hayato Waki

There is a lack of research on the analysis of per-user traffic in cellular networks, for deriving and following traffic-aware network management. \textcolor{black}{In fact, the legacy design approach, in which resource provisioning and…

Systems and Control · Electrical Eng. & Systems 2021-11-03 Amin Azari , Fateme Salehi , Panagiotis Papapetrou , Cicek Cavdar

Model agnostic meta-learning (MAML) is a popular state-of-the-art meta-learning algorithm that provides good weight initialization of a model given a variety of learning tasks. The model initialized by provided weight can be fine-tuned to…

Machine Learning · Computer Science 2021-06-11 Thanh Nguyen , Tung Luu , Trung Pham , Sanzhar Rakhimkul , Chang D. Yoo

Momentum based optimizers are central to a wide range of machine learning applications. These typically rely on an Exponential Moving Average (EMA) of gradients, which decays exponentially the present contribution of older gradients. This…

Machine Learning · Computer Science 2024-10-01 Matteo Pagliardini , Pierre Ablin , David Grangier

Robust low-rank matrix estimation is a topic of increasing interest, with promising applications in a variety of fields, from computer vision to data mining and recommender systems. Recent theoretical results establish the ability of such…

Information Theory · Computer Science 2011-09-29 Ignacio Ramírez , Guillermo Sapiro

A simplified speech recognition system that uses the maximum mutual information (MMI) criterion is considered. End-to-end training using gradient descent is suggested, similarly to the training of connectionist temporal classification…

Machine Learning · Computer Science 2017-07-18 Lior Fritz , David Burshtein

In this paper, we address the problem of adaptive learning for autoregressive moving average (ARMA) model in the quaternion domain. By transforming the original learning problem into a full information optimization task without explicit…

Machine Learning · Statistics 2019-04-29 Xiaokun Pu , Chunguang Li

The usage of positive definite metric tensors derived from second derivative information in the context of the simplified manifold Metropolis adjusted Langevin algorithm (MALA) is explored. A new adaptive step length procedure that resolves…

Computation · Statistics 2015-09-03 Tore Selland Kleppe

Model-agnostic meta-learning (MAML) is a meta-learning technique to train a model on a multitude of learning tasks in a way that primes the model for few-shot learning of new tasks. The MAML algorithm performs well on few-shot learning…

Machine Learning · Computer Science 2020-01-22 Harkirat Singh Behl , Atılım Güneş Baydin , Philip H. S. Torr

Model averaging is an alternative to model selection for dealing with model uncertainty, which is widely used and very valuable. However, most of the existing model averaging methods are proposed based on the least squares loss function,…

Methodology · Statistics 2019-10-29 Miaomiao Wang , Guohua Zou

When aligning large language models (LLMs), their performance on various tasks (such as being helpful, harmless, and honest) depends heavily on the composition of their training data. However, selecting a data mixture that achieves strong…

Machine Learning · Computer Science 2025-06-03 Nicholas E. Corrado , Julian Katz-Samuels , Adithya Devraj , Hyokun Yun , Chao Zhang , Yi Xu , Yi Pan , Bing Yin , Trishul Chilimbi