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Dose selection is critical in pharmaceutical drug development, as it directly impacts therapeutic efficacy and patient safety of a drug. The Generalized Multiple Comparison Procedures and Modeling (MCP-Mod) approach is commonly used in…

Methodology · Statistics 2025-05-23 Lukas Pin , Oleksandr Sverdlov , Frank Bretz , Björn Bornkamp

A major challenge in sample-based inference (SBI) for Bayesian neural networks is the size and structure of the networks' parameter space. Our work shows that successful SBI is possible by embracing the characteristic relationship between…

Machine Learning · Computer Science 2024-05-29 Emanuel Sommer , Lisa Wimmer , Theodore Papamarkou , Ludwig Bothmann , Bernd Bischl , David Rügamer

A data science task can be deemed as making sense of the data or testing a hypothesis about it. The conclusions inferred from data can greatly guide us to make informative decisions. Big data has enabled us to carry out countless prediction…

Machine Learning · Computer Science 2022-01-12 Wenhao Zhang , Ramin Ramezani , Arash Naeim

Being prompted to engage in reasoning has emerged as a core technique for using large language models (LLMs), deploying additional inference-time compute to improve task performance. However, as LLMs increase in both size and adoption,…

Computation and Language · Computer Science 2025-06-25 C. Nicolò De Sabbata , Theodore R. Sumers , Badr AlKhamissi , Antoine Bosselut , Thomas L. Griffiths

The inferential model (IM) framework offers alternatives to the familiar probabilistic (e.g., Bayesian and fiducial) uncertainty quantification in statistical inference. Allowing this uncertainty quantification to be imprecise makes it…

Statistics Theory · Mathematics 2024-12-10 Ryan Martin , Jonathan P. Williams

Inferential models (IMs) are data-dependent, imprecise-probabilistic structures designed to quantify uncertainty about unknowns. As the name suggests, the focus has been on uncertainty quantification for inference and on its reliability…

Statistics Theory · Mathematics 2026-05-01 Ryan Martin , Shih-Ni Prim , Jonathan Williams

The recent availability of huge, many-dimensional data sets, like those arising from genome-wide association studies (GWAS), provides many opportunities for strengthening causal inference. One popular approach is to utilize these…

Machine Learning · Statistics 2020-12-21 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

Large Language Models (LLMs) are increasingly deployed for clinical reasoning tasks, which inherently require eliciting calibrated probabilistic beliefs based on available evidence. However, real-world clinical data are frequently…

Artificial Intelligence · Computer Science 2026-03-19 Yuta Kobayashi , Vincent Jeanselme , Shalmali Joshi

Study samples often differ from the target populations of inference and policy decisions in non-random ways. Researchers typically believe that such departures from random sampling -- due to changes in the population over time and space, or…

Methodology · Statistics 2023-07-20 Tamara Broderick , Ryan Giordano , Rachael Meager

To learn about real world phenomena, scientists have traditionally used models with clearly interpretable elements. However, modern machine learning (ML) models, while powerful predictors, lack this direct elementwise interpretability (e.g.…

Machine Learning · Statistics 2024-07-16 Timo Freiesleben , Gunnar König , Christoph Molnar , Alvaro Tejero-Cantero

A new and rapidly growing econometric literature is making advances in the problem of using machine learning methods for causal inference questions. Yet, the empirical economics literature has not started to fully exploit the strengths of…

General Economics · Economics 2021-01-05 Anna Baiardi , Andrea A. Naghi

General results from statistical learning theory suggest to understand not only brain computations, but also brain plasticity as probabilistic inference. But a model for that has been missing. We propose that inherently stochastic features…

Neural and Evolutionary Computing · Computer Science 2016-02-17 David Kappel , Stefan Habenschuss , Robert Legenstein , Wolfgang Maass

Relational inference leverages relationships between entities and links in a network to infer information about the network from a small sample. This method is often used when global information about the network is not available or…

Social and Information Networks · Computer Science 2018-03-08 Lisette Espín-Noboa , Claudia Wagner , Fariba Karimi , Kristina Lerman

In the following article we provide an exposition of exact computational methods to perform parameter inference from partially observed network models. In particular, we consider the duplication attachment (DA) model which has a likelihood…

Computation · Statistics 2013-06-20 Junshan Wang , Ajay Jasra , Maria De Iorio

Large language models (LLMs) are limited by substantial computational cost. We introduce a "computational economics" framework that treats an LLM as an internal economy of resource-constrained agents (attention heads and neuron blocks) that…

Computation and Language · Computer Science 2025-12-30 Sandeep Reddy , Kabir Khan , Rohit Patil , Ananya Chakraborty , Faizan A. Khan , Swati Kulkarni , Arjun Verma , Neha Singh

Robust inference for stochastic dynamical systems is often hampered by sparse sampling and the absence of closed-form likelihoods. We introduce a Monte Carlo path-inference framework that leverages full-path statistics and bridge processes…

Statistical Mechanics · Physics 2025-10-07 Javier Aguilar , Miguel A. Muñoz , Sandro Azaele

In this paper, we examine the collaborative dynamics between humans and language models (LMs), where the interactions typically involve LMs proposing text segments and humans editing or responding to these proposals. Productive engagement…

Computation and Language · Computer Science 2024-04-02 Bohan Zhang , Yixin Wang , Paramveer S. Dhillon

Large neural networks trained on large datasets have become the dominant paradigm in machine learning. These systems rely on maximum likelihood point estimates of their parameters, precluding them from expressing model uncertainty. This may…

Machine Learning · Statistics 2024-05-01 Javier Antoran

Biological networks have so many possible states that exhaustive sampling is impossible. Successful analysis thus depends on simplifying hypotheses, but experiments on many systems hint that complicated, higher order interactions among…

Neurons and Cognition · Quantitative Biology 2009-11-11 Elad Schneidman , Michael J. Berry , Ronen Segev , William Bialek

Estimating a causal query from observational data is an essential task in the analysis of biomolecular networks. Estimation takes as input a network topology, a query estimation method, and observational measurements on the network…