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import streamlit as st
import json
import numpy as np
from sentence_transformers import SentenceTransformer, util
import os
import re
import boto3
import psycopg2
from psycopg2.extensions import connection
from dotenv import load_dotenv
# --- 0. Config ---
load_dotenv()
def get_rds_connection() -> connection:
region = os.getenv("AWS_REGION")
secret_arn = os.getenv("RDS_SECRET_ARN")
host = os.getenv("RDS_HOST")
dbname = os.getenv("RDS_DB_NAME")
sm = boto3.client("secretsmanager", region_name=region)
secret_value = sm.get_secret_value(SecretId=secret_arn)
secret_dict = json.loads(secret_value["SecretString"])
conn = psycopg2.connect(
host=host or secret_dict.get("host"),
port=int(secret_dict.get("port", 5432)),
dbname=dbname or secret_dict.get("dbname"),
user=secret_dict["username"],
password=secret_dict["password"],
sslmode="require",
)
return conn
# --- 1. Load the Embedding Model ---
@st.cache_resource
def load_model():
"""
Loads the specialized math embedding model from Hugging Face.
"""
try:
model = SentenceTransformer('math-similarity/Bert-MLM_arXiv-MP-class_zbMath')
return model
except Exception as e:
st.error(f"Error loading the embedding model: {e}")
return None
# --- 2. Load Data from RDS ---
@st.cache_data
def load_papers_from_rds():
"""
Loads theorem data from the RDS database and prepares it for embedding.
Returns a list of theorem dictionaries with all necessary fields.
"""
try:
conn = get_rds_connection()
cur = conn.cursor()
# Fetch all papers with their theorems and embeddings
cur.execute("""
SELECT
tm.paper_id,
tm.title,
tm.authors,
tm.link,
tm.last_updated,
tm.summary,
tm.journal_ref,
tm.primary_category,
tm.categories,
tm.global_notations,
tm.global_definitions,
tm.global_assumptions,
te.theorem_name,
te.theorem_slogan,
te.theorem_body,
te.embedding
FROM theorem_metadata tm
JOIN theorem_embedding te ON tm.paper_id = te.paper_id
ORDER BY tm.paper_id, te.theorem_name;
""")
rows = cur.fetchall()
cur.close()
conn.close()
all_theorems_data = []
for row in rows:
(paper_id, title, authors, link, last_updated, summary,
journal_ref, primary_category, categories,
global_notations, global_definitions, global_assumptions,
theorem_name, theorem_slogan, theorem_body, embedding) = row
# Build global context
global_context_parts = []
if global_notations:
global_context_parts.append(f"**Global Notations:**\n{global_notations}")
if global_definitions:
global_context_parts.append(f"**Global Definitions:**\n{global_definitions}")
if global_assumptions:
global_context_parts.append(f"**Global Assumptions:**\n{global_assumptions}")
global_context = "\n\n".join(global_context_parts)
# Convert embedding to a numpy float array
if isinstance(embedding, str):
embedding = json.loads(embedding)
if isinstance(embedding, list):
embedding = np.array(embedding, dtype=np.float32)
elif isinstance(embedding, np.ndarray):
embedding = embedding.astype(np.float32)
all_theorems_data.append({
"paper_id": paper_id,
"paper_title": title,
"paper_url": link,
"theorem_name": theorem_name,
"theorem_slogan": theorem_slogan,
"theorem_body": theorem_body,
"global_context": global_context,
"text_to_embed": f"{global_context}\n\n**Theorem ({theorem_name}):**\n{theorem_body}",
"stored_embedding": embedding
})
return all_theorems_data
except Exception as e:
st.error(f"Error loading data from RDS: {e}")
return []
# --- 3. The Search Function ---
def search_theorems(query, model, theorems_data, embeddings_db):
"""
Takes a user query and finds the top 5 most similar theorems.
"""
if not query:
st.info("Please enter a search query.")
return
query_embedding = model.encode(query, convert_to_tensor=True)
cosine_scores = util.cos_sim(query_embedding, embeddings_db)[0]
top_results_indices = np.argsort(-cosine_scores.cpu())[:5]
st.subheader("Top 5 Most Similar Theorems")
if len(top_results_indices) == 0:
st.write("No results found.")
return
for i, idx in enumerate(top_results_indices):
idx = idx.item()
similarity = cosine_scores[idx].item()
theorem_info = theorems_data[idx]
# Use an expander for each result to keep the main view clean
expander_title = f"**Result {i+1} | Similarity: {similarity:.4f}**"
if theorem_info.get("theorem_name"):
expander_title += f" | {theorem_info['theorem_name']}"
with st.expander(expander_title):
st.markdown(f"**Paper:** {theorem_info.get('paper_title', 'Unknown')}")
st.markdown(f"**Source:** [{theorem_info['paper_url']}]({theorem_info['paper_url']})")
# Display theorem slogan if available
if theorem_info.get("theorem_slogan"):
st.markdown(f"**Slogan:** {theorem_info['theorem_slogan']}")
st.write("")
# Display global context in a more readable blockquote
if theorem_info["global_context"]:
blockquote_context = "> " + theorem_info["global_context"].replace("\n", "\n> ")
st.markdown(blockquote_context)
st.write("")
# Clean and display theorem body
content = theorem_info['theorem_body']
# Remove labels, citations, and other disruptive commands
cleaned_content = re.sub(r'\\(label|cite|eqref)\{.*?\}', '', content)
# Convert math delimiters to $$
cleaned_content = re.sub(r'\\\[(.*?)\\\]', r'$$\1$$', cleaned_content)
cleaned_content = re.sub(r'\\\((.*?)\\\)', r'$\1$', cleaned_content)
# Remove common environment wrappers like \begin\{...\} and \end\{...\}
cleaned_content = re.sub(r'\\label\{.*?\}', r'', cleaned_content)
cleaned_content = re.sub(r'\\begin\{.*?\}', r'', cleaned_content)
cleaned_content = re.sub(r'\\end\{.*?\}', r'', cleaned_content)
# Remove extra formatting like newlines and tabs
cleaned_content = cleaned_content.replace('\n', ' ').replace('\t', ' ').strip()
# Use st.markdown() to render the cleaned, mixed text and LaTeX
st.markdown(f"**Theorem Body:**")
st.markdown(cleaned_content)
# --- Main App Interface ---
st.set_page_config(page_title="Theorem Search Demo", layout="wide")
st.title("π Semantic Theorem Search")
st.write("This demo uses a specialized mathematical language model to find theorems semantically similar to your query.")
model = load_model()
theorems_data = load_papers_from_rds()
if model and theorems_data:
with st.spinner("Preparing embeddings from database..."):
# Use stored embeddings from database - already numpy arrays
corpus_embeddings = np.array([item['stored_embedding'] for item in theorems_data])
st.success(f"Successfully loaded {len(theorems_data)} theorems from RDS. Ready to search!")
user_query = st.text_input("Enter your query:", "The Jones polynomial is a link invariant")
if st.button("Search") or user_query:
search_theorems(user_query, model, theorems_data, corpus_embeddings)
else:
st.error("Could not load the model or data from RDS. Please check your database connection and credentials.") |