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We reconsider randomized algorithms for the low-rank approximation of symmetric positive semi-definite (SPSD) matrices such as Laplacian and kernel matrices that arise in data analysis and machine learning applications. Our main results…

机器学习 · 计算机科学 2013-06-05 Alex Gittens , Michael W. Mahoney

Emotion detection in textual data has received growing interest in recent years, as it is pivotal for developing empathetic human-computer interaction systems. This paper introduces a method for categorizing emotions from text, which…

Multidimensional Scaling (MDS) is one of the first fundamental manifold learning methods. It can be categorized into several methods, i.e., classical MDS, kernel classical MDS, metric MDS, and non-metric MDS. Sammon mapping and Isomap can…

机器学习 · 统计学 2020-09-18 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

We propose a method that allows for a rigorous statistical analysis of neural responses to natural stimuli which are non-Gaussian and exhibit strong correlations. We have in mind a model in which neurons are selective for a small number of…

生物物理 · 物理学 2007-05-23 Tatyana Sharpee , Nicole C. Rust , William Bialek

Sentiment Analysis is an important algorithm in Natural Language Processing which is used to detect sentiment within some text. In our project, we had chosen to work on analyzing reviews of various drugs which have been reviewed in form of…

计算与语言 · 计算机科学 2020-03-27 Sairamvinay Vijayaraghavan , Debraj Basu

Most music emotion recognition approaches perform classification or regression that estimates a general emotional category from a distribution of music samples, but without considering emotional variations (e.g., happiness can be further…

声音 · 计算机科学 2023-04-11 Naoki Takashima , Frédéric Li , Marcin Grzegorzek , Kimiaki Shirahama

Multidimensional scaling (MDS) is a family of methods that embed a given set of points into a simple, usually flat, domain. The points are assumed to be sampled from some metric space, and the mapping attempts to preserve the distances…

计算几何 · 计算机科学 2014-03-05 Yonathan Aflalo , Anastasia Dubrovina , Ron Kimmel

Physics-based motion imitation is central to humanoid control, yet current evaluation metrics (e.g., joint position error) only measure how well a policy imitates but not how difficult the motion itself is. This conflates policy performance…

图形学 · 计算机科学 2025-12-09 Zhaorui Meng , Lu Yin , Xinrui Chen , Anjun Chen , Shihui Guo , Yipeng Qin

Evaluating and tracking patients' functional status through the post-acute care continuum requires a common instrument. However, different post-acute service providers such as nursing homes, inpatient rehabilitation facilities and home…

统计方法学 · 统计学 2020-01-22 Chenyang Gu , Roee Gutman

Neural simulation-based inference is a powerful class of machine-learning-based methods for statistical inference that naturally handles high-dimensional parameter estimation without the need to bin data into low-dimensional summary…

数据分析、统计与概率 · 物理学 2025-06-16 ATLAS Collaboration

Inference scaling helps LLMs solve complex reasoning problems through extended runtime computation. On top of long chain-of-thought (long-CoT) models, purely inference-time techniques such as best-of-N (BoN) sampling, majority voting, or…

We show how random subspace methods can be adapted to estimating local projections with many controls. Random subspace methods have their roots in the machine learning literature and are implemented by averaging over regressions estimated…

计量经济学 · 经济学 2024-06-04 Viet Hoang Dinh , Didier Nibbering , Benjamin Wong

We propose $SCONE$ ($S$calable, $C$ontextualized, $O$ffloaded, $N$-gram $E$mbedding), a new method for extending input embedding layers to enhance language model performance. To avoid increased decoding costs, $SCONE$ retains the original…

计算与语言 · 计算机科学 2025-10-27 Da Yu , Edith Cohen , Badih Ghazi , Yangsibo Huang , Pritish Kamath , Ravi Kumar , Daogao Liu , Chiyuan Zhang

Human judgments of word similarity have been a popular method of evaluating the quality of word embedding. But it fails to measure the geometry properties such as asymmetry. For example, it is more natural to say "Ellipses are like Circles"…

计算与语言 · 计算机科学 2020-12-04 Wei Zhang , Murray Campbell , Yang Yu , Sadhana Kumaravel

Recently, scaling test-time compute on Large Language Models (LLM) has garnered wide attention. However, there has been limited investigation of how various reasoning prompting strategies perform as scaling. In this paper, we focus on a…

人工智能 · 计算机科学 2025-08-18 Yexiang Liu , Zekun Li , Zhi Fang , Nan Xu , Ran He , Tieniu Tan

Distributional semantics based on neural approaches is a cornerstone of Natural Language Processing, with surprising connections to human meaning representation as well. Recent Transformer-based Language Models have proven capable of…

计算与语言 · 计算机科学 2022-04-04 Daniel Loureiro , Alípio Mário Jorge , Jose Camacho-Collados

This paper proposes methods of estimation and uniform inference for a general class of causal functions, such as the conditional average treatment effects and the continuous treatment effects, under multiway clustering. The causal function…

计量经济学 · 经济学 2024-09-11 Nan Liu , Yanbo Liu , Yuya Sasaki

Multidimensional scaling (MDS) is a popular technique for mapping a finite metric space into a low-dimensional Euclidean space in a way that best preserves pairwise distances. We study a notion of MDS on infinite metric measure spaces,…

统计理论 · 数学 2019-04-17 Lara Kassab

We evaluated the impact of changing the observation scale over the entropy measures for text descriptions. MIDI coded Music, computer code and two human natural languages were studied at the scale of characters, words, and at the…

信息论 · 计算机科学 2017-01-13 Gerardo Febres , Klaus Jaffe

Prompt-based text embedding models, which generate task-specific embeddings upon receiving tailored prompts, have recently demonstrated remarkable performance. However, their resulting embeddings often have thousands of dimensions, leading…

计算与语言 · 计算机科学 2025-06-03 Hayato Tsukagoshi , Ryohei Sasano