conversations listlengths 2 2 | shard_id stringclasses 9
values | output stringlengths 0 19k | ngram_3_uniqueness float64 0.41 0.41 | entropy float64 12 12 ⌀ | gini_index float64 0 0 ⌀ | self_bleu float64 0.85 0.85 ⌀ | embeddings stringlengths 12.5k 12.5k ⌀ | kmeans_inertia_embeddings float64 5.35M 5.35M ⌀ | kmeans_inertia_embeddings_normalized float64 6.2 6.2 ⌀ | projected_gradients_embeddings float64 223 223 ⌀ | new_conversations stringlengths 87 119k ⌀ | projected_gradients stringlengths 71 102 ⌀ | projected_gradients_vendi float64 20.1 20.1 ⌀ | projected_gradients_log_det float64 | projected_embeddings_log_det null | kmeans_inertia_gradients float64 3.13k 3.13k ⌀ | kmeans_inertia_gradients_normalized float64 0.31 0.31 ⌀ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
[
{
"from": "human",
"value": "Reaching high levels of professional and financial success at any cost has been the modern-day Mecca to multitudes of business men and women for several decades. Unfortunately, the attainment of such an all-consuming goal has not produced the peace and happiness that was expecte... | slim-orca_gpt-4o-mini::subsample | B. not enough information | 0.412101 | 12.033789 | 0 | 0.845353 | [ 1.01729758e-01 3.64728831e-02 -7.14277029e-02 -1.12350509e-02
-3.21598314e-02 -1.22943129e-02 4.72971760e-02 -1.81820076e-02
-1.13533080e-01 2.09200885e-02 3.16434413e-01 -3.36105214e-03
1.02947392e-01 5.18227145e-02 -8.72099176e-02 2.12953370e-02
7.95990899e-02 1.01583831e-01 -6.95015714e-02 -9.18287039... | 5,350,155.696641 | 6.197431 | 222.822212 | [{'content': "Reaching high levels of professional and financial success at any cost has been the modern-day Mecca to multitudes of business men and women for several decades. Unfortunately, the attainment of such an all-consuming goal has not produced the peace and happiness that was expected. There was a dark side to... | [-0.00218823 0.00598481 -0.00323955 ... 0.00037091 -0.01461733
-0.00786534] | 20.149659 | null | null | 3,128.245922 | 0.312825 |
[
{
"from": "human",
"value": "**Problem: Singular Value Decomposition (SVD)**\n\nLet \\( A \\) be the \\( 3 \\times 2 \\) matrix given by\n\n\\[\nA = \\begin{pmatrix}\n4 & 0 \\\\\n3 & -5 \\\\\n1 & 2\n\\end{pmatrix}.\n\\]\n\n1. Compute the singular values of the matrix \\( A \\).\n2. Perform the singular valu... | camel_math_gpt-4o-mini::convert_to_sharegpt | To solve the problem of Singular Value Decomposition (SVD) for the given matrix \( A \), we'll follow the steps outlined in the problem statement.
**Step 1: Compute the singular values of the matrix \( A \)**
First, calculate \( A^T A \):
\[
A^T = \begin{pmatrix}
4 & 3 & 1 \\
0 & -5 & 2
\end{pmatrix}
\]
Now, comput... | 0.412101 | 12.033789 | 0 | 0.845353 | [-5.55779599e-02 -2.62038969e-02 -8.51547439e-03 6.42842799e-02
1.99772164e-01 -3.28491181e-02 -5.53658456e-02 2.84111314e-02
3.04492768e-02 -5.75360954e-02 -2.11708073e-04 1.96627602e-01
1.84093527e-02 2.36262828e-02 -7.60766193e-02 9.00173783e-02
4.10104245e-02 1.32822350e-01 -1.36725157e-01 -6.32472485... | 5,350,155.696641 | 6.197431 | 222.822212 | [{'content': '**Problem: Singular Value Decomposition (SVD)**\n\nLet \\( A \\) be the \\( 3 \\times 2 \\) matrix given by\n\n\\[\nA = \\begin{pmatrix}\n4 & 0 \\\\\n3 & -5 \\\\\n1 & 2\n\\end{pmatrix}.\n\\]\n\n1. Compute the singular values of the matrix \\( A \\).\n2. Perform the singular value decomposition (SVD) of \\... | [-0.00737047 -0.00747565 0.00514972 ... 0.01505645 0.00069428
0.00031191] | 20.149659 | null | null | 3,128.245922 | 0.312825 |
[
{
"from": "human",
"value": "Please answer the following question: - Take out an ice cube tray - Fill the tray with water from the faucet - Put the ice cube tray in the freezer - Wait for several hours - The water will freeze and become ice - Remove the ice cube tray from the freezer What might be the las... | slim-orca_gpt-4o-mini::subsample | The last step of the process might be to twist or flex the ice cube tray to release the ice cubes. Then you can enjoy the ice cubes in your drinks or store them in a container. | 0.412101 | 12.033789 | 0 | 0.845353 | [ 1.17161386e-01 -1.82682961e-01 2.37281099e-02 1.55772835e-01
-1.42864212e-01 -1.01375543e-02 -2.76948381e-02 -3.62424701e-02
9.52331945e-02 1.26585230e-01 -6.30809665e-02 1.15084693e-01
2.83267861e-03 5.07073849e-02 -6.07737936e-02 -1.67363405e-01
-8.59433636e-02 -3.04131322e-02 5.67008294e-02 -2.98536178... | 5,350,155.696641 | 6.197431 | 222.822212 | [{'content': 'Please answer the following question: - Take out an ice cube tray - Fill the tray with water from the faucet - Put the ice cube tray in the freezer - Wait for several hours - The water will freeze and become ice - Remove the ice cube tray from the freezer What might be the last step of the process?\nAns... | [-0.00219272 0.005981 -0.0032389 ... 0.00036901 -0.01462728
-0.00782417] | 20.149659 | null | null | 3,128.245922 | 0.312825 |
[
{
"from": "human",
"value": "Identify and categorize the grammatical elements in this statement: \"The students eagerly awaited the arrival of the guest speaker.\""
},
{
"from": "gpt",
"value": "In the sentence \"The students eagerly awaited the arrival of the guest speaker,\" we can identify an... | evol_instruct_gpt-4o-mini::to_sharegpt | In the sentence "The students eagerly awaited the arrival of the guest speaker," we can identify and categorize the grammatical elements as follows:
1. **Noun Phrase (Subject)**:
- "The students"
- "The" (definite article)
- "students" (noun, plural)
2. **Adverb**:
- "eagerly" (modifies the verb "a... | 0.412101 | 12.033789 | 0 | 0.845353 | [ 1.52563125e-01 -6.91817049e-03 -8.54339004e-02 1.66520327e-01
-7.72445723e-02 -7.75873587e-02 -1.89352274e-01 -3.19579169e-02
-4.87864017e-02 -8.94879028e-02 3.58010121e-02 -9.91055295e-02
-3.99975628e-02 -1.22223198e-01 -4.64749113e-02 1.13551514e-02
1.44105941e-01 2.51586195e-02 -1.45613745e-01 5.16383834... | 5,350,155.696641 | 6.197431 | 222.822212 | [{'content': 'Identify and categorize the grammatical elements in this statement: "The students eagerly awaited the arrival of the guest speaker."', 'role': 'user'}
{'content': 'In the sentence "The students eagerly awaited the arrival of the guest speaker," we can identify and categorize the grammatical elements as f... | [-0.00226319 0.00590058 -0.00308649 ... 0.00066073 -0.01474465
-0.00806731] | 20.149659 | null | null | 3,128.245922 | 0.312825 |
[
{
"from": "human",
"value": "The government gives the bottom 20% of people a $2000 stimulus. They have found that X times as much money to the government, in terms of tax revenue, as it cost. The city has 1000 people in it. What was the government profit from this project? If we know the answer to the above... | metamath_gpt-4o-mini::convert_instruction_response_to_sharegpt | To solve this problem, we need to determine how much profit the government made from giving the bottom 20% of the people a $2000 stimulus and how that relates to the unknown variable X.
Let's break down the information given:
- The total population of the city is 1000 people.
- The bottom 20% of people is 20% of 1000,... | 0.412101 | 12.033789 | 0 | 0.845353 | [-5.14843054e-02 1.40476957e-01 -5.92565536e-02 1.40697807e-01
-3.56461518e-02 8.78391340e-02 -7.52238110e-02 -1.39616756e-02
-2.05778271e-01 -4.17868532e-02 9.18873698e-02 3.16319652e-02
6.93458095e-02 2.33510107e-01 -2.06946768e-02 -9.46800187e-02
-6.60899933e-03 5.94767518e-02 -1.70217566e-02 3.66960205... | 5,350,155.696641 | 6.197431 | 222.822212 | [{'content': 'The government gives the bottom 20% of people a $2000 stimulus. They have found that X times as much money to the government, in terms of tax revenue, as it cost. The city has 1000 people in it. What was the government profit from this project? If we know the answer to the above question is 1600000, what ... | [ 0.0009962 -0.00491269 0.018896 ... -0.00416619 -0.00941527
-0.00503568] | 20.149659 | null | null | 3,128.245922 | 0.312825 |
[
{
"from": "human",
"value": "The One-colored Catasetum (Catasetum purum) is a species of orchid found in Brazil. Given a list of categories: company, educational institution, artist, athlete, office holder, mean of transportation, building, natural place, village, animal, plant, album, film or written work,... | slim-orca_gpt-4o-mini::subsample | The One-colored Catasetum (Catasetum purum) is a species of orchid found in Brazil. Based on the provided categories, this paragraph belongs to the category "plant." The description specifically refers to a plant species, which categorizes it as part of the botanical domain. | 0.412101 | 12.033789 | 0 | 0.845353 | [ 1.44518584e-01 6.73204567e-03 -5.68565652e-02 5.31223826e-02
-1.00158542e-01 7.42089935e-03 1.04601182e-01 -2.28306255e-03
-2.15511657e-02 -1.19002692e-01 -5.43220490e-02 -1.43824533e-01
3.01930457e-02 -1.11042418e-01 5.03046215e-02 -7.23485947e-02
1.76501721e-01 1.29968897e-02 1.03481277e-03 -5.95576167... | 5,350,155.696641 | 6.197431 | 222.822212 | [{'content': 'The One-colored Catasetum (Catasetum purum) is a species of orchid found in Brazil. Given a list of categories: company, educational institution, artist, athlete, office holder, mean of transportation, building, natural place, village, animal, plant, album, film or written work, what category does the par... | [-0.00223006 0.00587761 -0.00308892 ... 0.00067637 -0.01479462
-0.00813582] | 20.149659 | null | null | 3,128.245922 | 0.312825 |
[
{
"from": "human",
"value": "Answer the following question: When people are huddled at a conference or professional event, the subject often turns to the value of failure and embracing feedback. “It is the key to self improvement!”, many chant, channeling their inner self-help gurus, Sadly, many don’t quite... | slim-orca_gpt-4o-mini::subsample | The focus of your question seems to be about understanding who is likely to accept feedback and learn from failure, and the answer encompasses people in various roles and contexts, though it primarily revolves around human behavior.
1. **People**: The primary group that takes feedback includes individuals in various ... | 0.412101 | 12.033789 | 0 | 0.845353 | [ 2.54846394e-01 6.76470296e-03 9.22135005e-05 -1.27011076e-01
2.91161425e-02 2.56453454e-02 -7.95456991e-02 3.15023027e-02
1.74268037e-02 -7.52955601e-02 -1.13402627e-01 1.10936388e-01
-3.14279310e-02 -8.92357305e-02 8.47009793e-02 -1.34137169e-01
-4.10702974e-02 8.68345350e-02 8.60733539e-03 1.59416460... | 5,350,155.696641 | 6.197431 | 222.822212 | [{'content': 'Answer the following question: When people are huddled at a conference or professional event, the subject often turns to the value of failure and embracing feedback. “It is the key to self improvement!”, many chant, channeling their inner self-help gurus, Sadly, many don’t quite practice what they preach.... | [ 0.00292712 -0.0044523 0.0187884 ... 0.01625481 0.01045698
0.01562522] | 20.149659 | null | null | 3,128.245922 | 0.312825 |
[
{
"from": "human",
"value": "Generate a possible title for a book about overcoming anxiety."
},
{
"from": "gpt",
"value": "\"Finding Calm: A Journey through Anxiety to Inner Peace.\""
}
] | alpaca_gpt-4o-mini::convert_alpaca_to_sharegpt | "Finding Calm: A Journey through Anxiety to Inner Peace." | 0.412101 | 12.033789 | 0 | 0.845353 | [ 8.42469186e-02 1.00446872e-01 -1.68725140e-02 -2.67781578e-02
1.59583483e-02 6.01588227e-02 -3.63534093e-02 -4.98342998e-02
6.09143004e-02 9.95807350e-02 4.47446331e-02 5.14631066e-03
7.67101394e-03 -2.40212753e-01 -8.25460851e-02 -1.46692812e-01
5.60616329e-02 1.53748065e-01 1.35013357e-01 8.91521052... | 5,350,155.696641 | 6.197431 | 222.822212 | [{'content': 'Generate a possible title for a book about overcoming anxiety.', 'role': 'user'}
{'content': '"Finding Calm: A Journey through Anxiety to Inner Peace."', 'role': 'assistant'}] | [-0.00227467 0.00587316 -0.00304075 ... 0.00061858 -0.01503074
-0.00817734] | 20.149659 | null | null | 3,128.245922 | 0.312825 |
[
{
"from": "human",
"value": "Please categorize the provided title according to the following topics: 0 for 'Society & Culture', 1 for 'Science & Mathematics', 2 for 'Health', 3 for 'Education & Reference', 4 for 'Computers & Internet', 5 for 'Sports', 6 for 'Business & Finance', 7 for 'Entertainment & Music... | unnatural_instructions_gpt-4o-mini::convert_to_sharegpt | 2 | 0.412101 | 12.033789 | 0 | 0.845353 | [ 1.44317120e-01 9.89982411e-02 5.96167482e-02 -8.80127326e-02
-8.87244344e-02 -1.60565451e-01 -1.52557278e-02 6.18139207e-02
-5.07040620e-02 1.82581376e-02 2.98491359e-01 -1.42718270e-01
-5.06210513e-02 4.88236882e-02 -1.32450582e-02 2.59406622e-02
6.93058372e-02 5.09113073e-03 -5.81662767e-02 7.40180388... | 5,350,155.696641 | 6.197431 | 222.822212 | [{'content': 'Classify the following question into one of the specified categories: 0 - ‘Society & Culture’, 1 - ‘Science & Mathematics’, 2 - ‘Health’, 3 - ‘Education & Reference’, 4 - ‘Computers & Internet’, 5 - ‘Sports’, 6 - ‘Business & Finance’, 7 - ‘Entertainment & Music’, 8 - ‘Family & Relationships’, 9 - ’Politic... | [-0.00218466 0.00612521 -0.0033625 ... 0.00047723 -0.01478327
-0.00809796] | 20.149659 | null | null | 3,128.245922 | 0.312825 |
[
{
"from": "human",
"value": "Train is to travel as boat is to"
},
{
"from": "gpt",
"value": "Travel by water."
}
] | evol_instruct_gpt-4o-mini::to_sharegpt | Travel by water. | 0.412101 | 12.033789 | 0 | 0.845353 | [-3.66583467e-02 1.97393343e-01 -9.63318348e-02 -1.10757910e-01
-6.48498014e-02 -2.75093392e-02 -6.58674762e-02 -1.25747174e-05
3.60347144e-02 6.81347772e-03 -1.02676880e-02 9.30024683e-02
1.04553021e-01 6.68066517e-02 9.90871787e-02 -2.44390801e-01
1.51452407e-01 -1.64238855e-01 -2.37735510e-01 -5.72325885... | 5,350,155.696641 | 6.197431 | 222.822212 | [{'content': 'Train is to travel as boat is to', 'role': 'user'}
{'content': 'Travel by water.', 'role': 'assistant'}] | [-0.00237799 0.00568528 -0.00322704 ... 0.0004889 -0.01496034
-0.00796166] | 20.149659 | null | null | 3,128.245922 | 0.312825 |
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