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The inference cost of Large Language Models (LLMs) has become a critical factor in determining their commercial viability and widespread adoption. This paper introduces a quantitative ``economics of inference'' framework, treating the LLM…

Artificial Intelligence · Computer Science 2025-10-31 Boqin Zhuang , Jiacheng Qiao , Mingqian Liu , Mingxing Yu , Ping Hong , Rui Li , Xiaoxia Song , Xiangjun Xu , Xu Chen , Yaoyao Ma , Yujie Gao

Language models have seen enormous progress on advanced benchmarks in recent years, but much of this progress has only been possible by using more costly models. Benchmarks may therefore present a warped picture of progress in practical…

Machine Learning · Computer Science 2026-03-24 Hans Gundlach , Jayson Lynch , Matthias Mertens , Neil Thompson

Large language models (LLMs) power many state-of-the-art systems in natural language processing. However, these models are extremely computationally expensive, even at inference time, raising the natural question: when is the extra cost of…

Machine Learning · Computer Science 2023-05-05 Deepak Narayanan , Keshav Santhanam , Peter Henderson , Rishi Bommasani , Tony Lee , Percy Liang

Practitioners often navigate LLM performance trade-offs by plotting Pareto frontiers of optimal accuracy-cost trade-offs. However, this approach offers no way to compare between LLMs with distinct strengths and weaknesses: for example, a…

Artificial Intelligence · Computer Science 2025-07-08 Michael J. Zellinger , Matt Thomson

We introduce a framework for automatically choosing data structures to support efficient computation of analytical workloads. Our contributions are twofold. First, we introduce a novel low-level intermediate language that can express the…

Databases · Computer Science 2021-12-28 Amir Shaikhha , Marios Kelepeshis , Mahdi Ghorbani

Large language models (LLMs) increasingly rely on long-context processing, but expanding context windows introduces substantial computational and financial costs. Existing context reduction approaches, including retrieval and memory…

Computation and Language · Computer Science 2026-05-25 Binqi Shen , Lier Jin , Hanyu Cai , Lan Hu , Yuting Xin

The rapid rise of Language Models (LMs) has expanded the capabilities of natural language processing, powering applications from text generation to complex decision-making. While state-of-the-art LMs often boast hundreds of billions of…

Machine Learning · Computer Science 2025-11-24 Maximilian Abstreiter , Sasu Tarkoma , Roberto Morabito

This paper develops a unified framework for evaluating the optimal degree of task automation. Moving beyond binary automate-or-not assessments, we model automation intensity as a continuous choice in which firms minimize costs by selecting…

General Economics · Economics 2026-04-01 Wensu Li , Atin Aboutorabi , Harry Lyu , Kaizhi Qian , Martin Fleming , Brian C. Goehring , Neil Thompson

We study how organizations should select among competing AI models when user utility, deployment costs, and compliance requirements jointly matter. Widely used capability leaderboards do not translate directly into deployment decisions,…

Machine Learning · Computer Science 2025-12-30 Vassilis Digalakis , Ramayya Krishnan , Gonzalo Martin Fernandez , Agni Orfanoudaki

We develop a theoretical model that addresses the economic trade-off between cost per token versus serial token generation speed when deploying LLMs for inference at scale. Our model takes into account arithmetic, memory bandwidth, network…

Machine Learning · Computer Science 2025-06-06 Ege Erdil

Decentralized large language model (LLM) inference promises transparent and censorship resistant access to advanced AI, yet existing verification approaches struggle to scale to modern models. Proof of Quality (PoQ) replaces cryptographic…

Artificial Intelligence · Computer Science 2025-12-19 Arther Tian , Alex Ding , Frank Chen , Alan Wu , Aaron Chan , Bruce Zhang

The traditional framework for feature selection treats all features as costing the same amount. However, in reality, a scientist often has considerable discretion regarding which variables to measure, and the decision involves a tradeoff…

Methodology · Statistics 2023-02-14 Guo Yu , Daniela Witten , Jacob Bien

The remarkable capabilities of Large Language Model (LLM)-driven agents have enabled sophisticated systems to tackle complex, multi-step tasks, but their escalating costs threaten scalability and accessibility. This work presents the first…

Frontier AI models demonstrate formidable breadth of knowledge. But how close are they to true human -- or superhuman -- expertise? Genuine experts can tackle the hardest problems and push the boundaries of scientific understanding. To…

This article presents a type-based analysis for deriving upper bounds on the expected execution cost of probabilistic programs. The analysis is naturally compositional, parametric in the cost model, and supports higher order functions and…

Programming Languages · Computer Science 2020-09-23 Di Wang , David M Kahn , Jan Hoffmann

The Automatic Amortized Resource Analysis (AARA) derives program-execution cost bounds using types. To do so, AARA often makes use of cost-free types, which are critical for the composition of types and cost bounds. However, inferring…

Programming Languages · Computer Science 2025-09-30 David M Kahn , Jan Hoffmann , Thomas Reps , Jessie Grosen

The advancement of Large Language Models (LLMs) has significantly boosted performance in natural language processing (NLP) tasks. However, the deployment of high-performance LLMs incurs substantial costs, primarily due to the increased…

Machine Learning · Computer Science 2024-03-22 Saehan Jo , Immanuel Trummer

The recent breakthrough in artificial intelligence (AI), especially deep neural networks (DNNs), has affected every branch of science and technology. Particularly, edge AI has been envisioned as a major application scenario to provide…

Machine Learning · Computer Science 2024-10-30 Jiawei Shao , Jun Zhang

Increasing the thinking budget of AI models can significantly improve accuracy, but not all questions warrant the same amount of reasoning. Users may prefer to allocate different amounts of reasoning effort depending on how they value…

Artificial Intelligence · Computer Science 2025-11-13 Michael Kleinman , Matthew Trager , Alessandro Achille , Wei Xia , Stefano Soatto

As large language models (LLMs) evolve into autonomous agents that execute long-horizon workflows, invoking a high-capability model at every step becomes economically unsustainable. While model routing is effective for single-turn queries,…

Computation and Language · Computer Science 2026-02-26 Caiqi Zhang , Menglin Xia , Xuchao Zhang , Daniel Madrigal , Ankur Mallick , Samuel Kessler , Victor Ruehle , Saravan Rajmohan
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