Essays on Undertidehttps://www.kircerta.com/posts/academica/essays/Recent content in Essays on UndertideHugo -- 0.161.1en-usMon, 23 Mar 2026 00:00:00 +0000Do LLMs Actually Follow Instructions? A Factorial Experimenthttps://www.kircerta.com/posts/academica/essays/305_factorial_llm/Mon, 23 Mar 2026 00:00:00 +0000https://www.kircerta.com/posts/academica/essays/305_factorial_llm/A 2³ factorial experiment measuring how prompt strategy, contextual examples, and model reasoning capability affect LLM instruction-following compliance.Unveiling Linear Dependencies of Handwritten Digitshttps://www.kircerta.com/posts/academica/essays/unveiling_structural_linear_dependencies_essay_01/Thu, 27 Nov 2025 00:00:00 +0000https://www.kircerta.com/posts/academica/essays/unveiling_structural_linear_dependencies_essay_01/This is the essay of my personal research regarding the structural linear dependencies between different parts of handwritten digits. We will be exploring them via PCA, CCA and Linear Regression together.Exploring Influential Factors to Housing via MLEhttps://www.kircerta.com/posts/academica/essays/mlr_exploring_housingprice/Fri, 12 Sep 2025 00:00:00 +0000https://www.kircerta.com/posts/academica/essays/mlr_exploring_housingprice/Predict the influence factors by using MLR, an exploration of MLR usage by Zixiang Zhang in 2024.