model stringclasses 2
values | case_id stringclasses 20
values | question stringclasses 20
values | correct_class stringclasses 20
values | candidate_class stringlengths 2 11 | candidate stringlengths 1 30 | is_correct_class bool 2
classes | G_raw float64 -48 -0 | V_prime float64 -17.5 11.6 | yn_mass float64 0.18 1 | log_p_uncond float64 -34.75 -5.63 | G_pmi float64 -19.63 22.5 | G_neg float64 -12.38 24.3 | G_verb float64 -24.16 15.5 | G_cluster_exact float64 -28.75 0.55 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Qwen/Qwen2.5-7B-Instruct | G1 | Which country has London as its capital? | UK | UK | the United Kingdom | true | -6.375 | 5.494354 | 0.998457 | -16.625 | 10.25 | 19.875 | -1.4375 | -2.559118 |
Qwen/Qwen2.5-7B-Instruct | G1 | Which country has London as its capital? | UK | UK | the UK | true | -10.125 | 3.370605 | 0.998149 | -15.75 | 5.625 | 16.625 | 0.5625 | -2.559118 |
Qwen/Qwen2.5-7B-Instruct | G1 | Which country has London as its capital? | UK | UK | United Kingdom | true | -2.609375 | 5.243561 | 0.998829 | -14 | 11.390625 | 17.515625 | 5.140625 | -2.559118 |
Qwen/Qwen2.5-7B-Instruct | G1 | Which country has London as its capital? | UK | UK | UK | true | -7.53125 | 3.628418 | 0.998381 | -13.625 | 6.09375 | 8.40625 | 8.21875 | -2.559118 |
Qwen/Qwen2.5-7B-Instruct | G1 | Which country has London as its capital? | UK | UK | Britain | true | -7.15625 | 2.119141 | 0.998216 | -14 | 6.84375 | 5.09375 | 3.34375 | -2.559118 |
Qwen/Qwen2.5-7B-Instruct | G1 | Which country has London as its capital? | UK | UK | Great Britain | true | -7.21875 | 2.49707 | 0.998059 | -16.75 | 9.53125 | 6.21875 | 4.65625 | -2.559118 |
Qwen/Qwen2.5-7B-Instruct | G1 | Which country has London as its capital? | UK | LIE | Liechtenstein | false | -17 | -17.499994 | 0.999994 | -17.5 | 0.5 | -0.75 | -16.994354 | -17 |
Qwen/Qwen2.5-7B-Instruct | G1 | Which country has London as its capital? | UK | FRA | France | false | -7.59375 | -15.624976 | 0.999976 | -14.5 | 6.90625 | -3.53125 | -7.402344 | -7.59375 |
Qwen/Qwen2.5-7B-Instruct | G2 | Which country is officially called the Hellenic Republic? | GREECE | GREECE | Greece | true | -0.239258 | 6.372803 | 0.999509 | -14.5625 | 14.323242 | 9.385742 | -0.226624 | -0.239244 |
Qwen/Qwen2.5-7B-Instruct | G2 | Which country is officially called the Hellenic Republic? | GREECE | GREECE | the Hellenic Republic | true | -21.375 | 2.749512 | 0.999009 | -24.5 | 3.125 | 2 | -7.375 | -0.239244 |
Qwen/Qwen2.5-7B-Instruct | G2 | Which country is officially called the Hellenic Republic? | GREECE | GREECE | Hellas | true | -11.4375 | -9.624877 | 0.999943 | -19 | 7.5625 | 7.5625 | 5.0625 | -0.239244 |
Qwen/Qwen2.5-7B-Instruct | G2 | Which country is officially called the Hellenic Republic? | GREECE | GREECE | the Greek Republic | true | -20.875 | -9.624786 | 0.999852 | -24.75 | 3.875 | 3.375 | -0.25 | -0.239244 |
Qwen/Qwen2.5-7B-Instruct | G2 | Which country is officially called the Hellenic Republic? | GREECE | CYP | Cyprus | false | -11.9375 | -14.874977 | 0.999977 | -17.625 | 5.6875 | 3.5 | -10.773438 | -11.9375 |
Qwen/Qwen2.5-7B-Instruct | G2 | Which country is officially called the Hellenic Republic? | GREECE | TUR | Turkey | false | -13.75 | -16.499992 | 0.999992 | -16 | 2.25 | -1.8125 | -9.125 | -13.75 |
Qwen/Qwen2.5-7B-Instruct | G3 | Which country is known as the Land of the Rising Sun? | JAPAN | JAPAN | Japan | true | -0.217773 | 6.998787 | 0.9997 | -14.5625 | 14.344727 | 14.094727 | -0.16626 | -0.217773 |
Qwen/Qwen2.5-7B-Instruct | G3 | Which country is known as the Land of the Rising Sun? | JAPAN | JAPAN | Nippon | true | -18.75 | 1.992188 | 0.995062 | -18 | -0.75 | 6.5 | 3 | -0.217773 |
Qwen/Qwen2.5-7B-Instruct | G3 | Which country is known as the Land of the Rising Sun? | JAPAN | JAPAN | Nihon | true | -20.375 | -4.991333 | 0.998108 | -18.25 | -2.125 | 8.875 | 3.125 | -0.217773 |
Qwen/Qwen2.5-7B-Instruct | G3 | Which country is known as the Land of the Rising Sun? | JAPAN | JAPAN | the Empire of Japan | true | -23.75 | 4.741089 | 0.99978 | -20.625 | -3.125 | 17.25 | 12.75 | -0.217773 |
Qwen/Qwen2.5-7B-Instruct | G3 | Which country is known as the Land of the Rising Sun? | JAPAN | CHINA | China | false | -8.75 | -16.249992 | 0.999992 | -11.3125 | 2.5625 | 2.3125 | -8.620117 | -8.75 |
Qwen/Qwen2.5-7B-Instruct | G3 | Which country is known as the Land of the Rising Sun? | JAPAN | KOREA | South Korea | false | -13.5 | -14.499979 | 0.999979 | -15.0625 | 1.5625 | 4 | -12.085938 | -13.5 |
Qwen/Qwen2.5-7B-Instruct | G4 | Which country is the largest by land area? | RUSSIA | RUSSIA | Russia | true | -2.171875 | 8.499069 | 0.999273 | -14.4375 | 12.265625 | 5.734375 | -2.021484 | -2.164839 |
Qwen/Qwen2.5-7B-Instruct | G4 | Which country is the largest by land area? | RUSSIA | RUSSIA | the Russian Federation | true | -7.125 | 6.998795 | 0.999707 | -20 | 12.875 | 24.25 | 7.4375 | -2.164839 |
Qwen/Qwen2.5-7B-Instruct | G4 | Which country is the largest by land area? | RUSSIA | RUSSIA | the USSR successor state | true | -39.5 | -5.495178 | 0.999277 | -34.75 | -4.75 | 12 | 4.5 | -2.164839 |
Qwen/Qwen2.5-7B-Instruct | G4 | Which country is the largest by land area? | RUSSIA | CAN | Canada | false | -2.984375 | 8.624374 | 0.999554 | -14.3125 | 11.328125 | 3.546875 | -2.701172 | -2.984375 |
Qwen/Qwen2.5-7B-Instruct | G4 | Which country is the largest by land area? | RUSSIA | USA | the United States | false | -4.25 | -7.623993 | 0.999482 | -14 | 9.75 | 15.75 | -1.15625 | -4.25 |
Qwen/Qwen2.5-7B-Instruct | G5 | Which city is the capital of Australia? | CANBERRA | CANBERRA | Canberra | true | -3.265625 | 8.248215 | 0.998478 | -15.75 | 12.484375 | 5.984375 | -3.244263 | -3.265625 |
Qwen/Qwen2.5-7B-Instruct | G5 | Which city is the capital of Australia? | CANBERRA | CANBERRA | the city of Canberra | true | -20.5 | 7.874157 | 0.999537 | -26 | 5.5 | 2.5 | -3 | -3.265625 |
Qwen/Qwen2.5-7B-Instruct | G5 | Which city is the capital of Australia? | CANBERRA | SYDNEY | Sydney | false | -4.25 | -12.624901 | 0.999904 | -13.6875 | 9.4375 | 2.40625 | -4.239502 | -4.25 |
Qwen/Qwen2.5-7B-Instruct | G5 | Which city is the capital of Australia? | CANBERRA | MELB | Melbourne | false | -6 | -14.374949 | 0.99995 | -15.875 | 9.875 | -0.34375 | -5.989929 | -6 |
Qwen/Qwen2.5-7B-Instruct | L1 | Who wrote the play Hamlet? | SHAKESPEARE | SHAKESPEARE | William Shakespeare | true | -6.96875 | 6.498108 | 0.999613 | -16.25 | 9.28125 | -4.546875 | -6.960938 | -6.749364 |
Qwen/Qwen2.5-7B-Instruct | L1 | Who wrote the play Hamlet? | SHAKESPEARE | SHAKESPEARE | Shakespeare | true | -8.375 | 3.257568 | 0.998454 | -14 | 5.625 | -7.671875 | 1.625 | -6.749364 |
Qwen/Qwen2.5-7B-Instruct | L1 | Who wrote the play Hamlet? | SHAKESPEARE | SHAKESPEARE | W. Shakespeare | true | -16 | 1.246094 | 0.998895 | -22.375 | 6.375 | 1.875 | 6.125 | -6.749364 |
Qwen/Qwen2.5-7B-Instruct | L1 | Who wrote the play Hamlet? | SHAKESPEARE | SHAKESPEARE | the Bard | true | -16.125 | -3.255127 | 0.99611 | -20.625 | 4.5 | 5.375 | 11.75 | -6.749364 |
Qwen/Qwen2.5-7B-Instruct | L1 | Who wrote the play Hamlet? | SHAKESPEARE | SHAKESPEARE | the Bard of Avon | true | -17.5 | -2.117188 | 0.996477 | -23.125 | 5.625 | 4.5 | 10.5 | -6.749364 |
Qwen/Qwen2.5-7B-Instruct | L1 | Who wrote the play Hamlet? | SHAKESPEARE | MARLOWE | Christopher Marlowe | false | -9 | -13.124916 | 0.999918 | -19.75 | 10.75 | 7.625 | -8.963623 | -9 |
Qwen/Qwen2.5-7B-Instruct | L1 | Who wrote the play Hamlet? | SHAKESPEARE | DICKENS | Charles Dickens | false | -14.0625 | -14.874962 | 0.999962 | -17 | 2.9375 | -9.90625 | -13.987793 | -14.0625 |
Qwen/Qwen2.5-7B-Instruct | L2 | Who painted the Mona Lisa? | DAVINCI | DAVINCI | Leonardo da Vinci | true | -3.46875 | 4.991516 | 0.99829 | -17 | 13.53125 | -0.734375 | -3.411865 | -2.75567 |
Qwen/Qwen2.5-7B-Instruct | L2 | Who painted the Mona Lisa? | DAVINCI | DAVINCI | Leonardo | true | -3.4375 | -1.121094 | 0.989199 | -15.6875 | 12.25 | -0.734375 | -3.380859 | -2.75567 |
Qwen/Qwen2.5-7B-Instruct | L2 | Who painted the Mona Lisa? | DAVINCI | DAVINCI | da Vinci | true | -8.5 | 4.864746 | 0.997434 | -17.625 | 9.125 | 0.9375 | 6.9375 | -2.75567 |
Qwen/Qwen2.5-7B-Instruct | L2 | Who painted the Mona Lisa? | DAVINCI | DAVINCI | Leonardo di ser Piero da Vinci | true | -9.6875 | 0.628906 | 0.993766 | -20 | 10.3125 | 10.8125 | 0.4375 | -2.75567 |
Qwen/Qwen2.5-7B-Instruct | L2 | Who painted the Mona Lisa? | DAVINCI | MICHEL | Michelangelo | false | -10.125 | -12.249766 | 0.999771 | -17.25 | 7.125 | -7.296875 | -10.090088 | -10.125 |
Qwen/Qwen2.5-7B-Instruct | L2 | Who painted the Mona Lisa? | DAVINCI | RAPH | Raphael | false | -13.9375 | -13.749886 | 0.999887 | -15.25 | 1.3125 | -2.5625 | -13.871094 | -13.9375 |
Qwen/Qwen2.5-7B-Instruct | L3 | Who composed the Ninth Symphony that includes the Ode to Joy? | BEETHOVEN | BEETHOVEN | Ludwig van Beethoven | true | -2.265625 | 6.873322 | 0.999356 | -15.625 | 13.359375 | 1.703125 | -2.260956 | -2.040212 |
Qwen/Qwen2.5-7B-Instruct | L3 | Who composed the Ninth Symphony that includes the Ode to Joy? | BEETHOVEN | BEETHOVEN | Beethoven | true | -3.640625 | 6.748192 | 0.999364 | -16 | 12.359375 | -3.361328 | 3.609375 | -2.040212 |
Qwen/Qwen2.5-7B-Instruct | L3 | Who composed the Ninth Symphony that includes the Ode to Joy? | BEETHOVEN | BEETHOVEN | van Beethoven | true | -17.75 | 4.234924 | 0.999302 | -21.875 | 4.125 | 8 | 8 | -2.040212 |
Qwen/Qwen2.5-7B-Instruct | L3 | Who composed the Ninth Symphony that includes the Ode to Joy? | BEETHOVEN | BEETHOVEN | L. van Beethoven | true | -18.875 | 6.498001 | 0.999507 | -22.875 | 4 | 1.5 | -0.25 | -2.040212 |
Qwen/Qwen2.5-7B-Instruct | L3 | Who composed the Ninth Symphony that includes the Ode to Joy? | BEETHOVEN | MOZART | Mozart | false | -11.125 | -12.374856 | 0.99986 | -13.5625 | 2.4375 | -7.28125 | -8.640625 | -11.125 |
Qwen/Qwen2.5-7B-Instruct | L3 | Who composed the Ninth Symphony that includes the Ode to Joy? | BEETHOVEN | BACH | Bach | false | -13.375 | -15.249973 | 0.999973 | -15.4375 | 2.0625 | -7.03125 | -8.5 | -13.375 |
Qwen/Qwen2.5-7B-Instruct | L4 | Who wrote the novel 1984? | ORWELL | ORWELL | George Orwell | true | -2.6875 | 7.749073 | 0.999504 | -16.5 | 13.8125 | 1 | -2.687344 | -2.686007 |
Qwen/Qwen2.5-7B-Instruct | L4 | Who wrote the novel 1984? | ORWELL | ORWELL | Orwell | true | -10.1875 | 5.367462 | 0.997121 | -18 | 7.8125 | 2.9375 | 11.0625 | -2.686007 |
Qwen/Qwen2.5-7B-Instruct | L4 | Who wrote the novel 1984? | ORWELL | ORWELL | Eric Arthur Blair | true | -9.6875 | -8.749424 | 0.999583 | -20.125 | 10.4375 | 12.1875 | 12.6875 | -2.686007 |
Qwen/Qwen2.5-7B-Instruct | L4 | Who wrote the novel 1984? | ORWELL | ORWELL | Eric Blair | true | -13.125 | -10.499896 | 0.999924 | -20.25 | 7.125 | 8.25 | 14.5 | -2.686007 |
Qwen/Qwen2.5-7B-Instruct | L4 | Who wrote the novel 1984? | ORWELL | HUX | Aldous Huxley | false | -11.25 | -14.499969 | 0.99997 | -19.5 | 8.25 | 0.0625 | -11.17041 | -11.25 |
Qwen/Qwen2.5-7B-Instruct | L4 | Who wrote the novel 1984? | ORWELL | BRAD | Ray Bradbury | false | -10.875 | -16.624989 | 0.999989 | -19.625 | 8.75 | 1.75 | -10.874546 | -10.875 |
Qwen/Qwen2.5-7B-Instruct | S1 | What gas do humans exhale as a waste product of respiration? | CO2 | CO2 | carbon dioxide | true | -0.617188 | 9.624634 | 0.9997 | -16.5 | 15.882813 | 15.632813 | 6.101563 | -0.601274 |
Qwen/Qwen2.5-7B-Instruct | S1 | What gas do humans exhale as a waste product of respiration? | CO2 | CO2 | CO2 | true | -4.75 | 9.374533 | 0.999618 | -11 | 6.25 | 2 | 2.71875 | -0.601274 |
Qwen/Qwen2.5-7B-Instruct | S1 | What gas do humans exhale as a waste product of respiration? | CO2 | CO2 | CO₂ | true | -13.25 | 9.624596 | 0.999662 | -15 | 1.75 | 3.25 | 0.875 | -0.601274 |
Qwen/Qwen2.5-7B-Instruct | S1 | What gas do humans exhale as a waste product of respiration? | CO2 | OXYGEN | oxygen | false | -9.875 | -6.748718 | 0.99989 | -13.5625 | 3.6875 | 2.875 | 0.25 | -9.875 |
Qwen/Qwen2.5-7B-Instruct | S1 | What gas do humans exhale as a waste product of respiration? | CO2 | KRYPTON | krypton | false | -19.875 | -14.499969 | 0.99997 | -20 | 0.125 | 2 | -14.4375 | -19.875 |
Qwen/Qwen2.5-7B-Instruct | S2 | What is the chemical formula for water? | H2O | H2O | H2O | true | -10.875 | 11.499638 | 0.999648 | -13.0625 | 2.1875 | -7.28125 | 4.875 | -10.661316 |
Qwen/Qwen2.5-7B-Instruct | S2 | What is the chemical formula for water? | H2O | H2O | H₂O | true | -18.125 | 11.624636 | 0.999645 | -14.3125 | -3.8125 | -7 | -0.75 | -10.661316 |
Qwen/Qwen2.5-7B-Instruct | S2 | What is the chemical formula for water? | H2O | H2O | dihydrogen monoxide | true | -12.3125 | 2.749023 | 0.998551 | -19.375 | 7.0625 | 11.5625 | -4.71875 | -10.661316 |
Qwen/Qwen2.5-7B-Instruct | S2 | What is the chemical formula for water? | H2O | CO2 | CO2 | false | -10 | -14.249989 | 0.999989 | -11 | 1 | -6.5 | -2.1875 | -10 |
Qwen/Qwen2.5-7B-Instruct | S2 | What is the chemical formula for water? | H2O | NACL | NaCl | false | -16.25 | -16.499985 | 0.999985 | -12.6875 | -3.5625 | -12.375 | -9.21875 | -16.25 |
Qwen/Qwen2.5-7B-Instruct | S3 | What is the process by which plants convert sunlight into chemical energy? | PHOTOSYN | PHOTOSYN | photosynthesis | true | -4.78125 | 10.374586 | 0.999617 | -15.6875 | 10.90625 | 11.21875 | -0.1875 | -4.781193 |
Qwen/Qwen2.5-7B-Instruct | S3 | What is the process by which plants convert sunlight into chemical energy? | PHOTOSYN | PHOTOSYN | the process of photosynthesis | true | -18.875 | 10.624697 | 0.999721 | -21.25 | 2.375 | 12.5 | -8.8125 | -4.781193 |
Qwen/Qwen2.5-7B-Instruct | S3 | What is the process by which plants convert sunlight into chemical energy? | PHOTOSYN | PHOTOSYN | photo-synthesis | true | -14.5625 | 2.496094 | 0.997159 | -22.125 | 7.5625 | 11.5625 | 1.9375 | -4.781193 |
Qwen/Qwen2.5-7B-Instruct | S3 | What is the process by which plants convert sunlight into chemical energy? | PHOTOSYN | RESP | respiration | false | -16.875 | -13.624915 | 0.999916 | -18.25 | 1.375 | 8.875 | -8.5 | -16.875 |
Qwen/Qwen2.5-7B-Instruct | S3 | What is the process by which plants convert sunlight into chemical energy? | PHOTOSYN | FERM | fermentation | false | -15.3125 | -14.249824 | 0.999824 | -18 | 2.6875 | 1.5625 | -9.125 | -15.3125 |
Qwen/Qwen2.5-7B-Instruct | S4 | What molecule carries genetic information in living cells? | DNA | DNA | DNA | true | -0.445313 | 7.749264 | 0.999695 | -11.625 | 11.179688 | 6.585938 | 4.085938 | -0.402641 |
Qwen/Qwen2.5-7B-Instruct | S4 | What molecule carries genetic information in living cells? | DNA | DNA | deoxyribonucleic acid | true | -3.578125 | 6.748474 | 0.999646 | -19.5 | 15.921875 | 14.671875 | 2.203125 | -0.402641 |
Qwen/Qwen2.5-7B-Instruct | S4 | What molecule carries genetic information in living cells? | DNA | DNA | the DNA molecule | true | -20.75 | 5.118439 | 0.999406 | -21.5 | 0.75 | -0.375 | -3.875 | -0.402641 |
Qwen/Qwen2.5-7B-Instruct | S4 | What molecule carries genetic information in living cells? | DNA | RNA | RNA | false | -7.375 | -2.253906 | 0.994382 | -11.5625 | 4.1875 | 3.0625 | -5.6875 | -7.375 |
Qwen/Qwen2.5-7B-Instruct | S4 | What molecule carries genetic information in living cells? | DNA | PROT | protein | false | -10.625 | -10.249898 | 0.999934 | -13.8125 | 3.1875 | 6.125 | -6.71875 | -10.625 |
Qwen/Qwen2.5-7B-Instruct | S5 | What celestial body do planets in the Solar System orbit? | SUN | SUN | the Sun | true | -5.375 | 5.243225 | 0.998496 | -16.25 | 10.875 | 10 | 7.125 | -5.374795 |
Qwen/Qwen2.5-7B-Instruct | S5 | What celestial body do planets in the Solar System orbit? | SUN | SUN | Sol | true | -14.5 | 3.755371 | 0.997247 | -13.5625 | -0.9375 | -2.125 | -2.8125 | -5.374795 |
Qwen/Qwen2.5-7B-Instruct | S5 | What celestial body do planets in the Solar System orbit? | SUN | SUN | our Sun | true | -14.625 | 7.248558 | 0.999269 | -21.75 | 7.125 | 11.375 | 15 | -5.374795 |
Qwen/Qwen2.5-7B-Instruct | S5 | What celestial body do planets in the Solar System orbit? | SUN | SUN | the star Sol | true | -24.75 | 4.012451 | 0.999129 | -28.375 | 3.625 | -1.25 | 6.125 | -5.374795 |
Qwen/Qwen2.5-7B-Instruct | S5 | What celestial body do planets in the Solar System orbit? | SUN | MOON | the Moon | false | -23.5 | -10.24966 | 0.999696 | -16.375 | -7.125 | -7.25 | -13.9375 | -23.5 |
Qwen/Qwen2.5-7B-Instruct | S5 | What celestial body do planets in the Solar System orbit? | SUN | JUPITER | Jupiter | false | -10.1875 | -13.124619 | 0.999621 | -14 | 3.8125 | -3 | -10.129639 | -10.1875 |
Qwen/Qwen2.5-7B-Instruct | H1 | Which country launched the first artificial satellite into orbit? | USSR | USSR | the Soviet Union | true | -13.8125 | 8.124306 | 0.999602 | -18.625 | 4.8125 | 12.5625 | -4.9375 | -6.704171 |
Qwen/Qwen2.5-7B-Instruct | H1 | Which country launched the first artificial satellite into orbit? | USSR | USSR | the USSR | true | -14.75 | 8.999573 | 0.999696 | -19.375 | 4.625 | 12 | 7.125 | -6.704171 |
Qwen/Qwen2.5-7B-Instruct | H1 | Which country launched the first artificial satellite into orbit? | USSR | USSR | USSR | true | -7.53125 | 9.124624 | 0.999733 | -19.125 | 11.59375 | 6.53125 | 7.21875 | -6.704171 |
Qwen/Qwen2.5-7B-Instruct | H1 | Which country launched the first artificial satellite into orbit? | USSR | USSR | Russia | true | -7.28125 | 4.360413 | 0.998107 | -14.4375 | 7.15625 | -0.15625 | 1.21875 | -6.704171 |
Qwen/Qwen2.5-7B-Instruct | H1 | Which country launched the first artificial satellite into orbit? | USSR | USSR | the Soviet Russian state | true | -48 | 5.369995 | 0.999639 | -28.375 | -19.625 | 5.5 | -11.75 | -6.704171 |
Qwen/Qwen2.5-7B-Instruct | H1 | Which country launched the first artificial satellite into orbit? | USSR | USA | the United States | false | -20 | -9.249609 | 0.999705 | -14 | -6 | -3.75 | -14.6875 | -20 |
Qwen/Qwen2.5-7B-Instruct | H1 | Which country launched the first artificial satellite into orbit? | USSR | UK | the United Kingdom | false | -28.75 | -14.124968 | 0.999969 | -16.625 | -12.125 | -10.25 | -24.15625 | -28.75 |
Qwen/Qwen2.5-7B-Instruct | H2 | Which war ended with the Treaty of Versailles in 1919? | WW1 | WW1 | World War I | true | -3.375 | 7.749268 | 0.999699 | -14.75 | 11.375 | 14.375 | 1.875 | -3.372308 |
Qwen/Qwen2.5-7B-Instruct | H2 | Which war ended with the Treaty of Versailles in 1919? | WW1 | WW1 | the First World War | true | -9.625 | 5.871811 | 0.999625 | -20 | 10.375 | 20.875 | 15.5 | -3.372308 |
Qwen/Qwen2.5-7B-Instruct | H2 | Which war ended with the Treaty of Versailles in 1919? | WW1 | WW1 | WWI | true | -12.4375 | 6.247726 | 0.999659 | -16 | 3.5625 | 8.1875 | 3.6875 | -3.372308 |
Qwen/Qwen2.5-7B-Instruct | H2 | Which war ended with the Treaty of Versailles in 1919? | WW1 | WW1 | the Great War | true | -12.625 | 5.495667 | 0.999763 | -20 | 7.375 | 16.125 | 14.25 | -3.372308 |
Qwen/Qwen2.5-7B-Instruct | H2 | Which war ended with the Treaty of Versailles in 1919? | WW1 | WW1 | World War One | true | -10.875 | 7.123985 | 0.999791 | -18.375 | 7.5 | 20.625 | 3.375 | -3.372308 |
Qwen/Qwen2.5-7B-Instruct | H2 | Which war ended with the Treaty of Versailles in 1919? | WW1 | WW2 | World War II | false | -15.75 | -13.874983 | 0.999984 | -13.9375 | -1.8125 | -9.0625 | -5.75 | -15.75 |
Qwen/Qwen2.5-7B-Instruct | H2 | Which war ended with the Treaty of Versailles in 1919? | WW1 | CW | the Crimean War | false | -16.25 | -10.374932 | 0.999963 | -21.25 | 5 | 9.875 | -5.0625 | -16.25 |
Qwen/Qwen2.5-7B-Instruct | H3 | Who was the first person to set foot on the Moon? | ARMSTRONG | ARMSTRONG | Neil Armstrong | true | -4.09375 | 7.123543 | 0.999349 | -19.5 | 15.40625 | -1.1875 | -4.041992 | -4.072201 |
Qwen/Qwen2.5-7B-Instruct | H3 | Who was the first person to set foot on the Moon? | ARMSTRONG | ARMSTRONG | Armstrong | true | -7.96875 | 3.755859 | 0.997723 | -15.4375 | 7.46875 | 4.53125 | 6.90625 | -4.072201 |
Qwen/Qwen2.5-7B-Instruct | H3 | Who was the first person to set foot on the Moon? | ARMSTRONG | ARMSTRONG | Neil A. Armstrong | true | -11 | 7.123535 | 0.999341 | -24.125 | 13.125 | 1.375 | 5.5 | -4.072201 |
Qwen/Qwen2.5-7B-Instruct | H3 | Who was the first person to set foot on the Moon? | ARMSTRONG | ARMSTRONG | the astronaut Neil Armstrong | true | -14.625 | 7.123787 | 0.999592 | -29.375 | 14.75 | 9.5 | 15.25 | -4.072201 |
Qwen/Qwen2.5-7B-Instruct | H3 | Who was the first person to set foot on the Moon? | ARMSTRONG | ALDRIN | Buzz Aldrin | false | -2.40625 | -0.748047 | 0.98719 | -19.875 | 17.46875 | 2.8125 | -2.239258 | -2.40625 |
Qwen/Qwen2.5-7B-Instruct | H3 | Who was the first person to set foot on the Moon? | ARMSTRONG | GAGARIN | Yuri Gagarin | false | -10.1875 | -11.874951 | 0.999958 | -18.5 | 8.3125 | 0.6875 | -8.945313 | -10.1875 |
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Check out the documentation for more information.
self-consistency-correction — Experiments 2 + 3 (combined)
Paper: Correcting Generator Scores via Self-Consistency §7.3 (correlation) and §7.4 (discrimination).
20 hand-crafted cases with known equivalence classes covering geography, literature, science, history, and pop culture. Each case has a correct equivalence class containing 2-6 surface-form paraphrases plus 2 singleton wrong-answer classes (mix of rare and common string frequencies). Equivalence classes are hardcoded, so G_cluster_exact is the EXACT cluster score (upper bound on Approximation A).
Five scores computed per candidate:
| Score | Definition | Approx |
|---|---|---|
| G_raw | log P(y|X) | — |
| G_pmi | G_raw − log P(y|neutral prefix) | B (PMI) |
| G_neg | G_raw − log P(y|negative-prompt context) | C |
| G_verb | G_raw − log P(y|canonical-label verbalization prompt) | D |
| G_cluster_exact | log Σ exp(G(X, y')) over y' in [y] | A (exact) |
Experiment 2 — pooled Spearman(score, V')
| Model | raw | PMI | neg | verb | cluster |
|---|---|---|---|---|---|
| Qwen2.5-7B-Instruct | +0.322 | +0.438 | +0.403 | +0.525 | +0.574 |
| Llama-3.1-8B-Instruct | +0.453 | +0.558 | +0.692 | +0.684 | +0.597 |
Experiment 3 — pooled AUROC(score, is_correct_class)
| Model | raw | PMI | neg | verb | cluster |
|---|---|---|---|---|---|
| Qwen2.5-7B-Instruct | 0.582 | 0.732 | 0.782 | 0.944 | 0.936 |
| Llama-3.1-8B-Instruct | 0.689 | 0.845 | 0.925 | 0.902 | 0.991 |
Experiment 3 — per-case accuracy@1 (argmax by score → correct class?)
| Model | raw | PMI | neg | verb | cluster |
|---|---|---|---|---|---|
| Qwen2.5-7B-Instruct | 0.90 | 0.90 | 0.95 | 1.00 | 0.90 |
| Llama-3.1-8B-Instruct | 1.00 | 0.95 | 1.00 | 1.00 | 1.00 |
Interpretation
- Cluster correction wins discrimination on both models (Qwen AUROC 0.94, Llama 0.99). This is a dramatic lift over raw G (0.58 / 0.69) and every other correction.
- Cluster correction wins correlation on Qwen; on Llama, negative-prompt (C) and verbalization (D) both edge it out, though all three are within 0.08 of each other.
- PMI is consistently the weakest correction but still beats raw G — supporting the paper's framing that PMI removes the wrong quantity (string rarity) but some of that quantity is correlated with what we actually want to remove (surface-form fragmentation).
- Raw G's acc@1 is already high (0.90-1.00) because for most questions the single highest-scoring surface form is already in the correct class. The AUROC lift from corrections is about getting ordering right among the rest of the candidates, which matters for re-ranking.
See the RACA experiment folder notes/experiments/self-consistency-correction/ for full methodology, cases, and the per-model JSON artifacts.
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