A quick probability-oriented introduction to operator splitting methods
Paper • 2401.00123 • Published
paper_id stringlengths 15 15 | arxiv_id stringlengths 9 9 | arxiv_version int32 1 1 | doi stringlengths 0 94 | content_hash stringlengths 64 64 | title stringlengths 5 243 | abstract stringlengths 13 2.11k | authors listlengths 1 816 | arxiv_categories listlengths 1 13 | primary_category stringclasses 116
values | journal stringclasses 1
value | keywords listlengths 0 0 | submission_date stringdate 2007-03-31 00:00:00 2012-12-06 00:00:00 | processed_date stringdate 2026-02-26 00:00:00 2026-02-26 00:00:00 | full_text stringlengths 29 1.72M | sections listlengths 1 507 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
arxiv:0704.0007 | 0704.0007 | 1 | 10.1103/PhysRevD.76.044016 | 8ae0e0f35013725cd790673ceb8a5ca5fa7caa17c3f9774fc6aa4adfcfb62edd | Polymer Quantum Mechanics and its Continuum Limit | A rather non-standard quantum representation of the canonical commutation
relations of quantum mechanics systems, known as the polymer representation has
gained some attention in recent years, due to its possible relation with Planck
scale physics. In particular, this approach has been followed in a symmetric
sector of... | [
"Alejandro Corichi",
"Tatjana Vukasinac and Jose A. Zapata"
] | [
"gr-qc"
] | gr-qc | [] | 2007-03-31 | 2026-02-26 | The so-called polymer quantum mechanics, a nonregular and somewhat 'exotic' representation of the canonical commutation relations (CCR) [1], has been used to explore both mathematical and physical issues in background independent theories such as quantum gravity [2, 3] . A notable example of this type of quantization, ... | [
{
"section_type": "BACKGROUND",
"section_title": "I. INTRODUCTION",
"text": "The so-called polymer quantum mechanics, a nonregular and somewhat 'exotic' representation of the canonical commutation relations (CCR) [1], has been used to explore both mathematical and physical issues in background independe... | |
arxiv:0704.0015 | 0704.0015 | 1 | 10.1088/1126-6708/2007/05/034 | 736f71b146882dce29dd074d1d2d87f98333dd269e5d47f089d31b0d7812e8e5 | Fermionic superstring loop amplitudes in the pure spinor formalism | "The pure spinor formulation of the ten-dimensional superstring leads to\nmanifestly supersymmetric (...TRUNCATED) | [
"Christian Stahn"
] | [
"hep-th"
] | hep-th | [] | 2007-04-02 | 2026-02-26 | "The pure spinor formulation of the ten-dimensional superstring leads to manifestly supersymmetric l(...TRUNCATED) | [{"section_type":"ABSTRACT","section_title":"Abstract","text":"The pure spinor formulation of the te(...TRUNCATED) | |
arxiv:0704.0018 | 0704.0018 | 1 | ee51631f7ef4614c82d5dfcb38c0d10d13a798d2b8a12e1d77f585492414ebce | In quest of a generalized Callias index theorem | "We give a prescription for how to compute the Callias index, using as\nregulator an exponential fun(...TRUNCATED) | [
"Andreas Gustavsson"
] | [
"hep-th"
] | hep-th | [] | 2007-04-02 | 2026-02-26 | "We give a prescription for how to compute the Callias index, using as regulator an exponential func(...TRUNCATED) | [{"section_type":"ABSTRACT","section_title":"Abstract","text":"We give a prescription for how to com(...TRUNCATED) | ||
arxiv:0704.0034 | 0704.0034 | 1 | a05703051fdf4cf4df48610e330d72278db2f90f7aef16c061572996b8a9c0c0 | Origin of adaptive mutants: a quantum measurement? | "This is a supplement to the paper arXiv:q-bio/0701050, containing the text of\ncorrespondence sent (...TRUNCATED) | [
"Vasily Ogryzko"
] | [
"q-bio.PE",
"q-bio.CB",
"quant-ph"
] | q-bio.PE | [] | 2007-03-31 | 2026-02-26 | "This is a supplement to the paper arXiv:q-bio/0701050, containing the text of correspondence sent t(...TRUNCATED) | [{"section_type":"ABSTRACT","section_title":"Abstract","text":"This is a supplement to the paper arX(...TRUNCATED) | ||
arxiv:0704.0042 | 0704.0042 | 1 | ff68e0616e33788a1cc39c55250b83169d82f127c9ade78202d572a62a8993c2 | General System theory, Like-Quantum Semantics and Fuzzy Sets | "It is outlined the possibility to extend the quantum formalism in relation to\nthe requirements of (...TRUNCATED) | [
"Ignazio Licata"
] | [
"physics.gen-ph",
"quant-ph"
] | physics.gen-ph | [] | 2007-03-31 | 2026-02-26 | "It is outlined the possibility to extend the quantum formalism in relation to the requirements of t(...TRUNCATED) | [{"section_type":"ABSTRACT","section_title":"Abstract","text":"It is outlined the possibility to ext(...TRUNCATED) | ||
arxiv:0704.0046 | 0704.0046 | 1 | 10.1063/1.2779138 | f01371fa48c30b75baa9584d06be7c51746e1c39eccfa73e742b5f5b675b7ccb | A limit relation for entropy and channel capacity per unit cost | "In a quantum mechanical model, Diosi, Feldmann and Kosloff arrived at a\nconjecture stating that th(...TRUNCATED) | [
"I. Csiszar",
"F. Hiai and D. Petz"
] | [
"quant-ph",
"cs.IT",
"math.IT"
] | quant-ph | [] | 2007-04-01 | 2026-02-26 | "In a quantum mechanical model, Diósi, Feldmann and Kosloff arrived at a conjecture stating that th(...TRUNCATED) | [{"section_type":"ABSTRACT","section_title":"Abstract","text":"In a quantum mechanical model, Diósi(...TRUNCATED) | |
arxiv:0704.0048 | 0704.0048 | 1 | 10.1088/0264-9381/24/19/S17 | 5831c84409a92a3da91bce6c44bb910afdfbe6594b6b49eb409254e409cc6c92 | "Inference on white dwarf binary systems using the first round Mock LISA\n Data Challenges data set(...TRUNCATED) | "We report on the analysis of selected single source data sets from the first\nround of the Mock LIS(...TRUNCATED) | ["Alexander Stroeer","John Veitch","Christian Roever","Ed Bloomer","James\n Clark","Nelson Christen(...TRUNCATED) | [
"gr-qc",
"astro-ph"
] | gr-qc | [] | 2007-03-31 | 2026-02-26 | "The data obtained from LISA [1] will contain a large number of white dwarf binary systems across th(...TRUNCATED) | [{"section_type":"BACKGROUND","section_title":"Introduction","text":"The data obtained from LISA [1](...TRUNCATED) | |
arxiv:0704.0051 | 0704.0051 | 1 | 89bfe7bf5b6e413c61845825ba2507e7c5d1bbea46c828b96f384fd5323b3afc | Visualizing Teleportation | "A novel way of picturing the processing of quantum information is described,\nallowing a direct vis(...TRUNCATED) | [
"Scott M. Cohen"
] | [
"physics.ed-ph",
"quant-ph"
] | physics.ed-ph | [] | 2007-04-02 | 2026-02-26 | "One of the most exciting and fastest-growing fields of physics today is quantum information. Especi(...TRUNCATED) | [{"section_type":"BACKGROUND","section_title":"I. INTRODUCTION","text":"One of the most exciting and(...TRUNCATED) | ||
arxiv:0704.0052 | 0704.0052 | 1 | 67ed34caf79c65f4a9d124daf92524fdfa9e55ddc4435a33fc69e1973c007809 | Quantum Field Theory on Curved Backgrounds. II. Spacetime Symmetries | "We study space-time symmetries in scalar quantum field theory (including\ninteracting theories) on (...TRUNCATED) | [
"Arthur Jaffe (1) and Gordon Ritter (1) ((1) Harvard University)"
] | [
"hep-th"
] | hep-th | [] | 2007-03-31 | 2026-02-26 | "The extension of quantum field theory to curved space-times has led to the discovery of many qualit(...TRUNCATED) | [{"section_type":"BACKGROUND","section_title":"Introduction","text":"The extension of quantum field (...TRUNCATED) | ||
arxiv:0704.0053 | 0704.0053 | 1 | 39613cb738fb14c9fcd290d9a7ddb7c314a984abeab7f7e78d81855d1e36fb82 | A Global Approach to the Theory of Special Finsler Manifolds | "The aim of the present paper is to provide a global presentation of the\ntheory of special Finsler (...TRUNCATED) | [
"Nabil L. Youssef",
"S. H. Abed and A. Soleiman"
] | [
"math.DG",
"gr-qc"
] | math.DG | [] | 2007-03-31 | 2026-02-26 | "The aim of the present paper is to provide a global presentation of the theory of special Finsler m(...TRUNCATED) | [{"section_type":"ABSTRACT","section_title":"Abstract","text":"The aim of the present paper is to pr(...TRUNCATED) |
konsman/physics-corpus
arXiv physics papers exported from a PostgreSQL mirror of the Kaggle arXiv dataset, structured for ontology extraction and downstream NLP pipelines.
quantum-physics
arXiv categories included: quant-ph, hep-th, gr-qc
| Field | Type | Description |
|---|---|---|
paper_id |
string | arxiv:<id>v<n> — stable across pipeline runs |
arxiv_id |
string | Base arXiv ID without version suffix |
arxiv_version |
int32 | Version number (for deduplication) |
doi |
string | DOI or empty string |
content_hash |
string | SHA-256 of full_text — for delta detection |
title |
string | Paper title |
abstract |
string | Paper abstract |
authors |
list[string] | Author names |
arxiv_categories |
list[string] | e.g. ["hep-th", "gr-qc"] |
primary_category |
string | First listed category |
journal |
string | Journal reference or empty string |
keywords |
list[string] | Keywords (empty if unavailable) |
submission_date |
string | ISO date of first submission |
processed_date |
string | ISO date this record was exported |
full_text |
string | All section texts joined by \n\n |
sections |
list | Structured sections (see below) |
| Field | Type | Description |
|---|---|---|
section_type |
string | TITLE / ABSTRACT / BACKGROUND / METHOD / RESULTS / DISCUSSION / CONCLUSION / OTHER |
section_title |
string | Raw heading text, e.g. 3. Experimental Setup |
text |
string | Section body text |
Each row is one paper. sections is a list of objects — one per section:
{
"paper_id": "arxiv:2401.00123v2",
"arxiv_id": "2401.00123",
"arxiv_version": 2,
"title": "...",
"abstract": "...",
"authors": ["Author A", "Author B"],
"arxiv_categories": ["quant-ph"],
"primary_category": "quant-ph",
"full_text": "Introduction text\n\nMethod text\n\n...",
"sections": [
{"section_type": "BACKGROUND", "section_title": "1. Introduction", "text": "..."},
{"section_type": "METHOD", "section_title": "2. Methods", "text": "..."},
{"section_type": "RESULTS", "section_title": "3. Results", "text": "..."}
]
}
from datasets import load_dataset
ds = load_dataset("konsman/physics-corpus", "quantum-physics", split="train")
for paper in ds:
print(paper["paper_id"], paper["primary_category"])
for sec in paper["sections"]:
print(sec["section_type"], sec["section_title"], sec["text"][:80])
Papers are sourced from the Kaggle arXiv dataset via a PostgreSQL mirror. Only papers with a JOIN match in the metadata table are included (≥ 96% of sections have a match).
Dataset card and structure: CC-BY-4.0. Paper texts are subject to the individual arXiv paper licenses.