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Related papers: Establishing a Scale for Kullback-Leibler Divergen…

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We propose semantic smoothing, a smoothing method for language models that uses embeddings to share statistical observations across semantically similar contexts. The starting point is a decomposition of log-perplexity that motivates…

Information Theory · Computer Science 2026-05-11 Haricharan Balasundaram , Swathi Shree Narashiman , Pranay Mathur , Andrew Thangaraj

We investigate fairness dynamics during Large Language Model (LLM) training to enable the diagnoses of biases and mitigations through training interventions like early stopping; we find that biases can emerge suddenly and do not always…

Computation and Language · Computer Science 2025-06-03 Krishna Patel , Nivedha Sivakumar , Barry-John Theobald , Luca Zappella , Nicholas Apostoloff

We compute the expected value of the Kullback-Leibler divergence to various fundamental statistical models with respect to canonical priors on the probability simplex. We obtain closed formulas for the expected model approximation errors,…

Machine Learning · Statistics 2014-06-18 Guido F. Montufar , Johannes Rauh

In this study, we delve into the dynamic landscape of machine learning research evolution. Initially, through the utilization of Latent Dirichlet Allocation, we discern pivotal themes and fundamental concepts that have emerged within the…

Machine Learning · Computer Science 2023-11-08 Vítor Bandeira Borges , Daniel Oliveira Cajueiro

Prior-weighted logistic regression has become a standard tool for calibration in speaker recognition. Logistic regression is the optimization of the expected value of the logarithmic scoring rule. We generalize this via a parametric family…

Machine Learning · Statistics 2013-07-31 Niko Brümmer , George Doddington

For a broad family of discriminative models that includes autoregressive language models, identifiability results imply that if two models induce the same conditional distributions, then their internal representations agree up to an…

Machine Learning · Computer Science 2026-02-20 Beatrix M. G. Nielsen , Emanuele Marconato , Luigi Gresele , Andrea Dittadi , Simon Buchholz

The concept of Label Distribution Learning (LDL) is a technique to stabilize classification and regression problems with ambiguous and/or imbalanced labels. A prototypical use-case of LDL is human age estimation based on profile images.…

Machine Learning · Computer Science 2022-09-07 Maurice Günder , Nico Piatkowski , Christian Bauckhage

This paper systematically compares different methods of deriving item-level predictions of language models for multiple-choice tasks. It compares scoring methods for answer options based on free generation of responses, various…

Computation and Language · Computer Science 2024-03-05 Polina Tsvilodub , Hening Wang , Sharon Grosch , Michael Franke

Cross-entropy loss is a common choice when it comes to multiclass classification tasks and language modeling in particular. Minimizing this loss results in language models of very good quality. We show that it is possible to fine-tune these…

Computation and Language · Computer Science 2019-01-16 Vadim Popov , Mikhail Kudinov

The usual way to interpret language models (LMs) is to test their performance on different benchmarks and subsequently infer their internal processes. In this paper, we present an alternative approach, concentrating on the quality of LM…

Computation and Language · Computer Science 2024-06-11 Lucas Weber , Jaap Jumelet , Elia Bruni , Dieuwke Hupkes

We introduce a variational reasoning framework for language models that treats thinking traces as latent variables and optimizes them through variational inference. Starting from the evidence lower bound (ELBO), we extend it to a…

Computation and Language · Computer Science 2025-10-16 Xiangxin Zhou , Zichen Liu , Haonan Wang , Chao Du , Min Lin , Chongxuan Li , Liang Wang , Tianyu Pang

Effective LLM training depends on predictable scaling of key quantities -- such as final loss and optimal hyperparameters -- with model and dataset size. Qiu et al. (2025) recently showed that this predictability can extend beyond scalars:…

Machine Learning · Computer Science 2026-03-03 Shane Bergsma , Bin Claire Zhang , Nolan Dey , Shaheer Muhammad , Gurpreet Gosal , Joel Hestness

Consider the nonparametric logistic regression problem. In the logistic regression, we usually consider the maximum likelihood estimator, and the excess risk is the expectation of the Kullback-Leibler (KL) divergence between the true and…

Statistics Theory · Mathematics 2025-02-26 Atsutomo Yara , Yoshikazu Terada

In this work, we present formulations for regularized Kullback-Leibler and R\'enyi divergences via the Alpha Log-Determinant (Log-Det) divergences between positive Hilbert-Schmidt operators on Hilbert spaces in two different settings,…

Machine Learning · Statistics 2022-07-19 Minh Ha Quang

Multilingual sequence labeling is a task of predicting label sequences using a single unified model for multiple languages. Compared with relying on multiple monolingual models, using a multilingual model has the benefit of a smaller model…

Computation and Language · Computer Science 2020-05-05 Xinyu Wang , Yong Jiang , Nguyen Bach , Tao Wang , Fei Huang , Kewei Tu

Reinforcement Learning with Verified Reward (RLVR) has emerged as a critical paradigm for advancing the reasoning capabilities of Large Language Models (LLMs). Most existing RLVR methods, such as GRPO and its variants, ensure stable updates…

Machine Learning · Computer Science 2026-02-10 Qingyuan Wu , Yuhui Wang , Simon Sinong Zhan , Yanning Dai , Shilong Deng , Sarra Habchi , Qi Zhu , Matthias Gallé , Chao Huang

In this paper, we discuss a property of the Kullback--Leibler divergence measured between two models of the family of the location-scale distributions. We show that, if model $M_1$ and model $M_2$ are represented by location-scale…

Statistics Theory · Mathematics 2016-04-08 Cristiano Villa

Steering vectors are a lightweight method for controlling language model behavior by adding a learned bias to the activations at inference time. Although effective on average, steering effect sizes vary across samples and are unreliable for…

Computation and Language · Computer Science 2026-02-23 Joschka Braun

Training generative models to sample from unnormalized density functions is an important and challenging task in machine learning. Traditional training methods often rely on the reverse Kullback-Leibler (KL) divergence due to its…

Machine Learning · Computer Science 2025-03-05 Jiajun He , Wenlin Chen , Mingtian Zhang , David Barber , José Miguel Hernández-Lobato

As the scale of training corpora for large language models (LLMs) grows, model developers become increasingly reluctant to disclose details on their data. This lack of transparency poses challenges to scientific evaluation and ethical…

Computation and Language · Computer Science 2025-05-22 Weichao Zhang , Ruqing Zhang , Jiafeng Guo , Maarten de Rijke , Yixing Fan , Xueqi Cheng