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We present a novel systematic theoretical framework to analyze the rate-distortion (R-D) limits of learned image compression. While recent neural codecs have achieved remarkable empirical results, their distance from the…

Information Theory · Computer Science 2026-01-15 Changshuo Wang , Zijian Liang , Kai Niu , Ping Zhang

In this paper, we propose a communication-efficiently decentralized machine learning framework that solves a consensus optimization problem defined over a network of inter-connected workers. The proposed algorithm, Censored and Quantized…

Machine Learning · Computer Science 2021-01-13 Chaouki Ben Issaid , Anis Elgabli , Jihong Park , Mehdi Bennis , Mérouane Debbah

Long-horizon language agents must operate under limited runtime memory, yet existing memory mechanisms often organize experience around descriptive criteria such as relevance, salience, or summary quality. For an agent, however, memory is…

Artificial Intelligence · Computer Science 2026-05-12 Mingxi Zou , Zhihan Guo , Langzhang Liang , Zhuo Wang , Qifan Wang , Qingsong Wen , Irwin King , Lizhen Qu , Zenglin Xu

We study strategic Gaussian semantic compression under rate and compute constraints, where an encoder and decoder optimize distinct quadratic objectives. A latent Gaussian state generates a task dependent semantic variable, and the decoder…

Information Theory · Computer Science 2026-02-05 Emrah Akyol

Rate-distortion theory provides bounds for compressing data produced by an information source to a specified encoding rate that is strictly less than the source's entropy. This necessarily entails some loss, or distortion, between the…

Quantum Physics · Physics 2019-02-06 Sina Salek , Daniela Cadamuro , Philipp Kammerlander , Karoline Wiesner

This paper focuses on the decentralized optimization problem, where agents in a network cooperate to minimize the sum of their local objective functions by information exchange and local computation. Based on the alternating direction…

Optimization and Control · Mathematics 2023-01-25 Zhen Zhang , Shaofu Yang , Wenying Xu

Throughout the cognitive-science literature, there is widespread agreement that decision-making agents operating in the real world do so under limited information-processing capabilities and without access to unbounded cognitive or…

Machine Learning · Computer Science 2022-11-01 Dilip Arumugam , Mark K. Ho , Noah D. Goodman , Benjamin Van Roy

Large Language Models employing Chain-of-Thought reasoning achieve strong performance but suffer from excessive token consumption that inflates inference costs. Existing efficiency methods such as explicit length penalties, difficulty…

Machine Learning · Computer Science 2026-04-03 Bangji Yang , Hongbo Ma , Jiajun Fan , Ge Liu

Quantum computers promise transformative speedups, but environmental noise destroys their fragile states. Conventional quantum error correction (QEC) encodes information redundantly across physical qubits, yet fails above a threshold of…

Quantum Physics · Physics 2026-05-11 Hikaru Wakaura , Taiki Tanimae

When two agents of different computational capacities interact with the same environment, they need not compress a common semantic alphabet differently; they can induce different semantic alphabets altogether. We show that the quotient…

Information Theory · Computer Science 2026-04-13 Anthony T. Nixon

Answering complex queries on incomplete knowledge graphs is a challenging task where a model needs to answer complex logical queries in the presence of missing knowledge. Prior work in the literature has proposed to address this problem by…

Machine Learning · Computer Science 2023-07-12 Erik Arakelyan , Pasquale Minervini , Daniel Daza , Michael Cochez , Isabelle Augenstein

We improve the existing achievable rate regions for causal and for zero-delay source coding of stationary Gaussian sources under an average mean squared error (MSE) distortion measure. To begin with, we find a closed-form expression for the…

Information Theory · Computer Science 2011-05-03 Milan S. Derpich , Jan Østergaard

We study fundamental limits of first-order stochastic optimization in a range of nonconvex settings, including L-smooth functions satisfying Quasar-Convexity (QC), Quadratic Growth (QG), and Restricted Secant Inequalities (RSI). While the…

Machine Learning · Statistics 2025-06-03 El Mehdi Saad , Wei-Cheng Lee , Francesco Orabona

Conversational search supports multi-turn user-system interactions to solve complex information needs. Different from the traditional single-turn ad-hoc search, conversational search encounters a more challenging problem of…

Information Retrieval · Computer Science 2024-07-30 Fengran Mo , Chen Qu , Kelong Mao , Yihong Wu , Zhan Su , Kaiyu Huang , Jian-Yun Nie

We analyse a model for fault-tolerant quantum computation with low overhead suitable for situations where the noise is biased. The basis for this scheme is a gadget for the fault-tolerant preparation of magic states that enable universal…

Quantum Physics · Physics 2015-12-07 Paul Webster , Stephen D. Bartlett , David Poulin

We consider the problem of minimizing a $d$-dimensional Lipschitz convex function using a stochastic gradient oracle. We introduce and motivate a setting where the noise of the stochastic gradient is isotropic in that it is bounded in every…

Optimization and Control · Mathematics 2025-10-24 Annie Marsden , Liam O'Carroll , Aaron Sidford , Chenyi Zhang

Bounded agents are limited by intrinsic constraints on their ability to process information that is available in their sensors and memory and choose actions and memory updates. In this dissertation, we model these constraints as…

Machine Learning · Computer Science 2017-03-31 Roy Fox

Artificial intelligence (AI) is ushering in a new era for communication. As a result, the establishment of a semantic communication framework is putting on the agenda. Based on a realistic semantic communication model, this paper develops a…

Information Theory · Computer Science 2025-09-15 Yi-Qun Zhao , Zhi-Ming Ma , Geoffrey Ye Li , Shuai Yuan , Tong Ye , Chuan Zhou

Transformers achieve superior performance on many tasks, but impose heavy compute and memory requirements during inference. This inference can be made more efficient by partitioning the process across multiple devices, which, in turn,…

Machine Learning · Computer Science 2026-04-21 Anderson de Andrade , Alon Harell , Ivan V. Bajić

We consider an $n$ agents distributed optimization problem with imperfect information characterized in a parametric sense, where the unknown parameter can be solved by a distinct distributed parameter learning problem. Though each agent…

Optimization and Control · Mathematics 2024-04-23 Yaqun Yang , Jinlong Lei
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