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Large language models (LLMs) demonstrate strong performance as text embedding models when finetuned with supervised contrastive training. However, their large size balloons inference time and memory requirements. In this paper, we show that…

Computation and Language · Computer Science 2024-10-21 Thennal D K , Tim Fischer , Chris Biemann

The sizes of pretrained language models make them challenging and expensive to use when there are multiple desired downstream tasks. In this work, we adopt recent strategies for model pruning during finetuning to explore the question of…

Computation and Language · Computer Science 2021-12-13 Patrick Xia , Richard Shin

Deep learning has become the state-of-art tool in many applications, but the evaluation and training of deep models can be time-consuming and computationally expensive. The conditional computation approach has been proposed to tackle this…

Machine Learning · Computer Science 2016-01-11 Emmanuel Bengio , Pierre-Luc Bacon , Joelle Pineau , Doina Precup

Training large language models (LLMs) for pretraining or adapting to new tasks and domains has become increasingly critical as their applications expand. However, as the model and the data sizes grow, the training process presents…

Machine Learning · Computer Science 2024-12-17 Amrutha Varshini Ramesh , Vignesh Ganapathiraman , Issam H. Laradji , Mark Schmidt

Advancements in Natural Language Processing are heavily reliant on the Transformer architecture, whose improvements come at substantial resource costs due to ever-growing model sizes. This study explores optimization techniques, including…

Machine Learning · Computer Science 2025-02-04 Tom Wallace , Naser Ezzati-Jivan , Beatrice Ombuki-Berman

Depth pruning aims to reduce the inference cost of a large language model without any hardware-specific complications, by simply removing several less important transformer blocks. However, our empirical findings suggest that the importance…

Computation and Language · Computer Science 2025-06-13 Juyun Wee , Minjae Park , Jaeho Lee

The internal structure and operation mechanism of large-scale language models are analyzed theoretically, especially how Transformer and its derivative architectures can restrict computing efficiency while capturing long-term dependencies.…

Machine Learning · Computer Science 2024-05-21 Taiyuan Mei , Yun Zi , Xiaohan Cheng , Zijun Gao , Qi Wang , Haowei Yang

(Block-)coordinate minimization is an iterative optimization method which in every iteration finds a global minimum of the objective over a variable or a subset of variables, while keeping the remaining variables constant. While for some…

Optimization and Control · Mathematics 2019-10-22 Tomáš Werner , Daniel Průša

Large language models (LLMs) deliver impressive results but face challenges from increasing model sizes and computational costs. Structured pruning reduces model size and speeds up inference but often causes uneven degradation across…

Computation and Language · Computer Science 2025-05-28 Hexuan Deng , Wenxiang Jiao , Xuebo Liu , Jing Li , Min Zhang , Zhaopeng Tu

The study of combinatorial optimization problems with a submodular objective has attracted much attention in recent years. Such problems are important in both theory and practice because their objective functions are very general. Obtaining…

Data Structures and Algorithms · Computer Science 2016-11-11 Niv Buchbinder , Moran Feldman

Recent advances in Large Language Models (LLMs) have opened new perspectives for automation in optimization. While several studies have explored how LLMs can generate or solve optimization models, far less is understood about what these…

Artificial Intelligence · Computer Science 2025-12-16 Francesca Da Ros , Luca Di Gaspero , Kevin Roitero

When considering an unconstrained minimization problem, a standard approach is to solve the optimality system with a Newton method possibly preconditioned by, e.g., nonlinear elimination. In this contribution, we argue that nonlinear…

Numerical Analysis · Mathematics 2024-09-04 Gabriele Ciaremalla , Tommaso Vanzan

As Large Language Models (LLMs) continue to advance in performance, their size has escalated significantly, with current LLMs containing billions or even trillions of parameters. However, in this study, we discovered that many layers of…

Computation and Language · Computer Science 2024-10-14 Xin Men , Mingyu Xu , Qingyu Zhang , Bingning Wang , Hongyu Lin , Yaojie Lu , Xianpei Han , Weipeng Chen

When solving combinatorial problems, pruning symmetric solution candidates from the search space is essential. Most of the existing approaches are instance-specific and focus on the automatic computation of Symmetry Breaking Constraints…

Logic in Computer Science · Computer Science 2022-08-08 Alice Tarzariol

We examine an important combinatorial challenge in clearing clutter using a mobile robot equipped with a manipulator, seeking to compute an optimal object removal sequence for minimizing the task completion time, assuming that each object…

Robotics · Computer Science 2019-06-03 Wei N. Tang , Jingjin Yu

In this paper, we propose a hybrid framework to solve large-scale permutation-based combinatorial problems effectively using a high-performance quadratic unconstrained binary optimization (QUBO) solver. To do so, transformations are…

Optimization and Control · Mathematics 2021-07-07 Siong Thye Goh , Sabrish Gopalakrishnan , Jianyuan Bo , Hoong Chuin Lau

Current state-of-the-art methods for solving discrete optimization problems are usually restricted to convex settings. In this paper, we propose a general approach based on cutting planes for solving nonlinear, possibly nonconvex, binary…

Optimization and Control · Mathematics 2022-03-21 Hoa T. Bui , Qun Lin , Ryan Loxton

Combinatorial problems such as combinatorial optimization and constraint satisfaction problems arise in decision-making across various fields of science and technology. In real-world applications, when multiple optimal or…

Data Structures and Algorithms · Computer Science 2025-11-10 Yuta Mizuno , Mohammad Ali , Tamiki Komatsuzaki

Constrained non-convex optimization problems frequently arise in control applications. Solving such problems is inherently challenging, as existing methods often converge to suboptimal local minima or incur prohibitive computational costs.…

Optimization and Control · Mathematics 2026-01-27 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

Vision Transformer have set new benchmarks in several tasks, but these models come with the lack of high computational costs which makes them impractical for resource limited hardware. Network pruning reduces the computational complexity by…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Patrick Glandorf , Bodo Rosenhahn