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Related papers: Submodule approach to creative telescoping

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Speculative decoding, which combines a draft model with a target model, has emerged as an effective approach to accelerate large language model (LLM) inference. However, existing methods often face a trade-off between the acceptance rate…

Computation and Language · Computer Science 2025-05-14 Danying Ge , Jianhua Gao , Qizhi Jiang , Yifei Feng , Weixing Ji

Submodular functions describe a variety of discrete problems in machine learning, signal processing, and computer vision. However, minimizing submodular functions poses a number of algorithmic challenges. Recent work introduced an…

Optimization and Control · Mathematics 2014-11-06 Robert Nishihara , Stefanie Jegelka , Michael I. Jordan

Retrosynthesis, the process of breaking down a target molecule into simpler precursors through a series of valid reactions, stands at the core of organic chemistry and drug development. Although recent machine learning (ML) research has…

Artificial Intelligence · Computer Science 2026-05-12 Haorui Wang , Jeff Guo , Lingkai Kong , Rampi Ramprasad , Philippe Schwaller , Yuanqi Du , Chao Zhang

This tutorial presents a comprehensive introduction to Speculative Decoding (SD), an advanced technique for LLM inference acceleration that has garnered significant research interest in recent years. SD is introduced as an innovative…

Computation and Language · Computer Science 2025-03-04 Heming Xia , Cunxiao Du , Yongqi Li , Qian Liu , Wenjie Li

To mitigate the high inference latency stemming from autoregressive decoding in Large Language Models (LLMs), Speculative Decoding has emerged as a novel decoding paradigm for LLM inference. In each decoding step, this method first drafts…

Computation and Language · Computer Science 2024-06-05 Heming Xia , Zhe Yang , Qingxiu Dong , Peiyi Wang , Yongqi Li , Tao Ge , Tianyu Liu , Wenjie Li , Zhifang Sui

Programmable optical devices provide performance enhancement and flexibility to spatial multiplexing systems enabling transmission of tributaries in high-order eigenmodes of spatially-diverse transmission media, like multimode fiber (MMF).…

Transformer large language models (LLMs) have sparked admiration for their exceptional performance on tasks that demand intricate multi-step reasoning. Yet, these models simultaneously show failures on surprisingly trivial problems. This…

A summation is a shift-invariant ${\rm R}$-module homomorphism from a submodule of ${\rm R}[[\sigma]]$ to ${\rm R}$ or another ring. [11] formalized a method for extending a summation to a larger domain by telescoping. In this paper, we…

Commutative Algebra · Mathematics 2021-05-12 Robert Dawson , Grant Molnar

In this paper, we introduce an innovative NLP model specifically fine-tuned to determine the minimal number of denoising steps required for any given text prompt. This advanced model serves as a real-time tool that recommends the ideal…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Jean Yu , Haim Barad

One of the fundamental challenges in reinforcement learning (RL) is to take a complex task and be able to decompose it to subtasks that are simpler for the RL agent to learn. In this paper, we report on our work that would identify subtasks…

Artificial Intelligence · Computer Science 2024-10-04 Alireza Kheirandish , Duo Xu , Faramarz Fekri

We present a new algorithm for solving the reduction problem in the context of holonomic integrals, which in turn provides an approach to integration with parameters. Our method extends the Griffiths--Dwork reduction technique to holonomic…

Symbolic Computation · Computer Science 2026-03-20 Hadrien Brochet , Frédéric Chyzak , Pierre Lairez

We describe ways to define and calculate $L_1$-norm signal subspaces which are less sensitive to outlying data than $L_2$-calculated subspaces. We start with the computation of the $L_1$ maximum-projection principal component of a data…

Data Structures and Algorithms · Computer Science 2015-06-19 Panos P. Markopoulos , George N. Karystinos , Dimitris A. Pados

While Large Language Models (LLMs) have demonstrated significant promise as agents in interactive tasks, their substantial computational requirements and restricted number of calls constrain their practical utility, especially in…

Machine Learning · Computer Science 2024-05-07 Maryam Hashemzadeh , Elias Stengel-Eskin , Sarath Chandar , Marc-Alexandre Cote

The rapid development of the Transformer-based Large Language Models (LLMs) in recent years has been closely linked to their ever-growing and already enormous sizes. Many LLMs contain hundreds of billions of parameters and require dedicated…

Computation and Language · Computer Science 2025-02-26 Mahsa Salmani , Ilya Soloveychik

Let $(L; \sqcap, \sqcup)$ be a finite lattice and let $n$ be a positive integer. A function $f : L^n \to \mathbb{R}$ is said to be submodular if $f(\tup{a} \sqcap \tup{b}) + f(\tup{a} \sqcup \tup{b}) \leq f(\tup{a}) + f(\tup{b})$ for all…

Data Structures and Algorithms · Computer Science 2009-04-22 Fredrik Kuivinen

Machine learning has the potential to automate molecular design and drastically accelerate the discovery of new functional compounds. Towards this goal, generative models and reinforcement learning (RL) using string and graph…

Machine Learning · Computer Science 2022-02-02 Daniel Flam-Shepherd , Alexander Zhigalin , Alán Aspuru-Guzik

A primary interest in dynamic inverse problems is to identify the underlying temporal behaviour of the system from outside measurements. In this work we consider the case, where the target can be represented by a decomposition of spatial…

Numerical Analysis · Mathematics 2020-06-09 Simon Arridge , Pascal Fernsel , Andreas Hauptmann

An effective method for combining frozen large language models (LLM) and visual encoders involves a resampler module that creates a `visual prompt' which is provided to the LLM, along with the textual prompt. While this approach has enabled…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Georgios Pantazopoulos , Alessandro Suglia , Oliver Lemon , Arash Eshghi

It was recently demonstrated [J. Electron. Imaging, 25(2), 2016] that one can perform fast non-local means (NLM) denoising of one-dimensional signals using a method called lifting. The cost of lifting is independent of the patch length,…

Computer Vision and Pattern Recognition · Computer Science 2018-03-14 Sanjay Ghosh , Kunal N. Chaudhury

Visual Spatial Reasoning is crucial for enabling Multimodal Large Language Models (MLLMs) to understand object properties and spatial relationships, yet current models still struggle with 3D-aware reasoning. Existing approaches typically…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Zefeng Zhang , Xiangzhao Hao , Hengzhu Tang , Zhenyu Zhang , Jiawei Sheng , Xiaodong Li , Zhenyang Li , Li Gao , Daiting Shi , Dawei Yin , Tingwen Liu