Automated MNLP evaluation report (2026-05-18)

EVAL_REPORT.md

@@ -2,7 +2,7 @@
 
 - **Model repo:** [`cs-552-2026-emainelpe/general_knowledge_model`](https://huggingface.co/cs-552-2026-emainelpe/general_knowledge_model)
 - **Owner(s):** group **emainelpe**
-- **Generated at:** 2026-05-13T23:30:17+00:00 (UTC)
+- **Generated at:** 2026-05-18T02:30:25+00:00 (UTC)
 - **Pipeline:** [mnlp-project-ci](https://github.com/eric11eca/mnlp-project-ci)
 
 _This PR is opened automatically by the course CI. It is **non-blocking** — you do not need to merge it. The next nightly run will refresh this file._
@@ -12,7 +12,7 @@ _This PR is opened automatically by the course CI. It is **non-blocking** — yo
 | Benchmark | Accuracy | Status |
 |---|---:|---|
 | Math | — | not run |
-| Knowledge | 0.3400 | ok |
+| Knowledge | 0.3900 | ok |
 | Multilingual | — | not run |
 | Safety | — | not run |
 
@@ -24,56 +24,73 @@ _Prompts are intentionally omitted to avoid revealing benchmark contents. For mu
 
 **Correct** (1 shown)
 
-- **reference**: `C`
+- **reference**: `A`
 - **overall** (1/1 completions correct)
-- **extracted** (✓): `C`
+- **extracted** (✓): `A`
 - **completion**:
 
     ```text
     <think>
-    Okay, so I'm trying to figure out which symmetries are required by every operator in the SMEFT. The question gives me four options: Lorentz, Poincaré, CP, and CPT. I need to pick the correct combination from A to D. 
+    Okay, so I need to figure out the power spectral density of the function f(t), which is defined as the convolution of h(σ) and φ(t - σ) over all σ from negative infinity to positive infinity. The question gives me the power spectral density of φ(t) as Gφ(ω) and asks me to express Gf(ω) in terms of Gφ(ω) and the Fourier transform of h(t), which I'll denote as H(ω).
     
-    First, I should recall what each of these symmetries means. Lorentz symmetry is about the invariance of physical laws under Lorentz transformations, which include boosts and
+    First, I remember that t
     
-    ... [truncated 182 chars] ...
+    ... [truncated 823 chars] ...
     
-    antiparticles and reverses spatial coordinates. CPT symmetry is the combination of charge conjugation, parity reversal, and time reversal. 
+    H(ω) * Gφ(ω)|^2, which is |H(ω)|^2 * |Gφ(ω)|^2. So, that would be |H(ω)|^2 * |Gφ(ω)|^2. But wait, the question says "in terms of the power spectral density of φ(t) and the Fourier transform of h(t)." So, it's |H(ω)|^2 times Gφ(ω)^2, which would be option A or something else?
     
-    In the SMEFT (Supersymmetric Minimal Effective Field Theory), the theory is constructed to be invariant under certain symmetries. From what I remember, SMEFT is designed to be supersymmetric, which means it should respect all the symmetries of superspace. But I'm not entirely sure about the exact symmetries required. 
+    Looking at the options, option A is Gf(ω) = |H(ω)|^2 * Gφ(ω)^2. But wait, in the question, it's written as Gf(ω) = ... so maybe it's not squared? Wait, no, the power spectral density is the square of the Fourier transform, so if the Fourier transform is H(ω) * Gφ(ω), then the PSD is |H(ω) * Gφ(ω)|^2, which is |H(ω)|^2 * |Gφ(ω)|^2. So that would be Gf(ω) = |H(ω)|^2 * Gφ(ω)^2.
     
-    I think that in SMEFT, the standard model is embedded, so it should respect the Lorentz and Poincaré symmetries because those are fundamental to the theory. Lorentz symmetry is crucial for the structure of the Lagrangian, ensuring that it's invariant under Lorentz transformations. Poincaré symmetry includes translations, which are also necessary for the theory to be consistent.
+    But looking at the options, option A is Gf(ω) = |H(ω)|^2 * Gφ(ω)^2, which seems to fit. Wait, but the question says "the power spectral density of f(t) in terms of the power spectral density of φ(t) and the Fourier transform of h(t)." So, it's |H(ω)|^2 times Gφ(ω)^2, which is exactly what option A is.
     
-    CP symmetry is usually broken in the standard model, so I'm not sure if it's required here. If the SMEFT is based on supersymmetry, which is a symmetry that includes CP, then it should respect CP. However, I'm not entirely certain if SMEFT specifically requires CP symmetry or if it's just a general feature of supersymmetric theories.
+    Wait, but I thought the power spectral density of the convolution is the product of the power spectral densities. So, if f(t) = h(t) * φ(t), then Gf(ω) = |H(ω)|^2 * |Gφ(ω)|^2. So, that's correct. So, option A is correct.
     </think>
     
-    \boxed{C}
+    \boxed{A}
     ```
 
 **Incorrect** (1 shown)
 
-- **reference**: `B`
+- **reference**: `C`
 - **overall** (0/1 completions correct)
-- **extracted** (✗): `D`
+- **extracted** (✗): `<no answer>`
 - **completion**:
 
     ```text
     <think>
-    Okay, so I need to figure out which strategy is best for designing a molecular diagnostic kit for a viral infectious disease. The options are A, B, C, or D. Let me break this down step by step.
+    Okay, so I have this problem about probability and radioactive decay. Let me try to break it down step by step.
     
-    First, the question is about creating a diagnostic kit for a retrovirus. Retroviruses are a type of virus that can integrate its genetic material into the host's genome, which makes them a bit tric
+    First, the problem says that we can produce a single atom, which is an atomic nucleus, through beta decay. Beta decay is when a nucleus emits an electron, right? So, the nucleus starts off, and then it decays over time. The probability that this atom decays within 100 minutes is
     
     ... [truncated 823 chars] ...
     
-    t to isolate, symptoms alone might not help in identifying the specific strain or the presence of the virus.
+    *100) = 0.68 => λ = -ln(0.68)/100 ≈ 0.00385 per minute.
     
-    D. First identify the virus by DNA sequencing. Then develop a PCR kit for quick diagnosis. DNA sequencing can help identify the virus, but it might not be as fast as PCR. PCR is more efficient and can be used for rapid diagnosis, especially in a diagnostic kit where speed is important.
+    Now, we need the probability of decay between 50 and 150 minutes, which is from t = 50 to t = 150 minutes.
     
-    Now, considering the context of a viral infectious disease, especially one involving retroviruses, the best approach would be to identify the virus first. Retroviruses can be difficult to isolate, so DNA sequencing might be a good first step to determine which strain or species it is. Once identified, PCR can be used for amplification and detection, which is faster and more sensitive than ELISA or other methods.
+    The probability of decay between t1 and t2 is P(t2) - P(t1).
     
-    ELISA (Option A) is good for detecting antibodies, but if the virus is difficult to isolate, it might not be the best first step. Similarly, symptoms alone (Option C) might not be reliable, and DNA sequencing alone (Option D) might not be as fast as PCR.
+    So, compute P(150) - P(50).
     
-    So, the best strategy would be to first use DNA sequencing to identify the virus, then use PCR for diagnosis.
-    </think>
+    P(150) = 1 - e^(-λ*150) = 1 - e^(-0.00385*150) = 1 - e^(-0.5775).
+    
+    Compute e^(-0.5775): e^(-0.5) = 0.6065, e^(-0.6) ≈ 0.5488, so 0.5775 is between 0.5 and 0.6.
+    
+    Let me approximate e^(-0.5775). Let's use the fact that ln(0.55) ≈ -0.5978, ln(0.56) ≈ -0.5798, ln(0.57) ≈ -0.5625.
+    
+    So, e^(-0.5775) is between 0.56 and 0.57.
+    
+    Let me compute it as follows: let x = -0.5775, so e^x = e^(-0.5775).
+    
+    We can use linear approximation between x = -0.5798 (which is ln(0.56)) and x = -0.5625 (ln(0.57)).
+    
+    Wait, no, actually, the value of e^(-0.5775) is between e^(-0.57) and e^(-0.58).
+    
+    Wait, perhaps it's easier to use a calculator-like approach. Since I don't have a calculator here, I'll approximate it.
+    
+    Let me note that e^(-0.5775) ≈ 1 / e^(0.5775).
+    
+    We know that e^0.5 ≈ 1.6487, e^0.6 ≈ 1.8221, e^0.5775 ≈ ?
     
-    \boxed{D}
+    Let me use the Taylor series around a known point. Let's take a = 0.57, which is ln(0.57) ≈ -0.5625. Wait, this might not be the best approach
     ```