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Create app.py
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app.py
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|
| 1 |
+
import gradio as gr
|
| 2 |
+
import pandas as pd
|
| 3 |
+
import numpy as np
|
| 4 |
+
import random
|
| 5 |
+
import time
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| 6 |
+
import concurrent.futures
|
| 7 |
+
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| 8 |
+
from typing import Dict, Any, List, Union
|
| 9 |
+
|
| 10 |
+
# Minimal ML
|
| 11 |
+
from sklearn.feature_extraction.text import CountVectorizer
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| 12 |
+
from sklearn.ensemble import RandomForestClassifier
|
| 13 |
+
from sympy import symbols, Eq, solve
|
| 14 |
+
from sympy.parsing.sympy_parser import parse_expr
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| 15 |
+
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| 16 |
+
########################################
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| 17 |
+
# 1. Domain Assumption + Confidence
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| 18 |
+
########################################
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| 19 |
+
|
| 20 |
+
class DomainAssumptionMatrix:
|
| 21 |
+
"""
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| 22 |
+
Store domain assumptions in a dictionary:
|
| 23 |
+
domain_name -> {key: value}
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| 24 |
+
Potentially used for advanced logic or PDE constraints.
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| 25 |
+
"""
|
| 26 |
+
def __init__(self):
|
| 27 |
+
self.matrix = {}
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| 28 |
+
|
| 29 |
+
def add_domain(self, domain_name: str, assumptions: Dict[str, Any]):
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| 30 |
+
if domain_name not in self.matrix:
|
| 31 |
+
self.matrix[domain_name] = {}
|
| 32 |
+
for k, v in assumptions.items():
|
| 33 |
+
self.matrix[domain_name][k] = v
|
| 34 |
+
|
| 35 |
+
def check_conflict(self, domain1: str, domain2: str) -> bool:
|
| 36 |
+
"""
|
| 37 |
+
Check if domain1 and domain2 have conflicting assumptions.
|
| 38 |
+
E.g. if dimension is '2D' in domain1 but '3D' in domain2, conflict = True
|
| 39 |
+
"""
|
| 40 |
+
d1 = self.matrix.get(domain1, {})
|
| 41 |
+
d2 = self.matrix.get(domain2, {})
|
| 42 |
+
for k, v in d1.items():
|
| 43 |
+
if k in d2 and d2[k] != v:
|
| 44 |
+
return True
|
| 45 |
+
return False
|
| 46 |
+
|
| 47 |
+
def list_domains(self) -> Dict[str, Any]:
|
| 48 |
+
return self.matrix
|
| 49 |
+
|
| 50 |
+
|
| 51 |
+
class ConfidenceIndex:
|
| 52 |
+
"""
|
| 53 |
+
Track conjectures and confidence scores (0-5).
|
| 54 |
+
Allows updates as new evidence or checks come in.
|
| 55 |
+
"""
|
| 56 |
+
def __init__(self):
|
| 57 |
+
self.index = {}
|
| 58 |
+
|
| 59 |
+
def add_conjecture(self, conj_id: str, score: int):
|
| 60 |
+
score_clamped = max(0, min(score, 5))
|
| 61 |
+
self.index[conj_id] = {
|
| 62 |
+
"score": score_clamped
|
| 63 |
+
}
|
| 64 |
+
|
| 65 |
+
def get_score(self, conj_id: str) -> int:
|
| 66 |
+
return self.index.get(conj_id, {}).get("score", 0)
|
| 67 |
+
|
| 68 |
+
def update_score(self, conj_id: str, delta: int):
|
| 69 |
+
if conj_id in self.index:
|
| 70 |
+
old = self.index[conj_id]["score"]
|
| 71 |
+
new_score = max(0, min(5, old + delta))
|
| 72 |
+
self.index[conj_id]["score"] = new_score
|
| 73 |
+
|
| 74 |
+
def list_all(self) -> Dict[str, Any]:
|
| 75 |
+
return self.index
|
| 76 |
+
|
| 77 |
+
|
| 78 |
+
########################################
|
| 79 |
+
# 2. PDE / HPC Stub with Concurrency
|
| 80 |
+
########################################
|
| 81 |
+
|
| 82 |
+
class HPCSolver:
|
| 83 |
+
"""
|
| 84 |
+
Simulates HPC PDE solves (like Poisson or Navier–Stokes).
|
| 85 |
+
We'll do concurrency to show enterprise readiness.
|
| 86 |
+
"""
|
| 87 |
+
def solve_pde_stub(self, problem_type: str, size: int) -> str:
|
| 88 |
+
"""
|
| 89 |
+
Simulate an HPC PDE solve by sleeping + random success output.
|
| 90 |
+
'problem_type' could be 'Poisson' or 'NS' or similar.
|
| 91 |
+
'size' might be a mesh dimension or something relevant.
|
| 92 |
+
"""
|
| 93 |
+
time.sleep(0.2) # Simulate HPC work
|
| 94 |
+
return f"[{problem_type} PDE] completed on size={size} (stub)."
|
| 95 |
+
|
| 96 |
+
def solve_in_parallel(self, tasks: List[str], sizes: List[int]) -> List[str]:
|
| 97 |
+
results = []
|
| 98 |
+
def worker(task, sz):
|
| 99 |
+
return self.solve_pde_stub(task, sz)
|
| 100 |
+
|
| 101 |
+
with concurrent.futures.ThreadPoolExecutor() as executor:
|
| 102 |
+
fut_map = {executor.submit(worker, t, s): (t, s) for t, s in zip(tasks, sizes)}
|
| 103 |
+
for fut in concurrent.futures.as_completed(fut_map):
|
| 104 |
+
results.append(fut.result())
|
| 105 |
+
return results
|
| 106 |
+
|
| 107 |
+
|
| 108 |
+
########################################
|
| 109 |
+
# 3. Theorem Prover Stub
|
| 110 |
+
########################################
|
| 111 |
+
|
| 112 |
+
class ExternalTheoremProver:
|
| 113 |
+
"""
|
| 114 |
+
Stub for partial verification.
|
| 115 |
+
"""
|
| 116 |
+
def check_proof(self, statement: str, proof_idea: str) -> bool:
|
| 117 |
+
# 70% chance success
|
| 118 |
+
return random.random() > 0.3
|
| 119 |
+
|
| 120 |
+
|
| 121 |
+
########################################
|
| 122 |
+
# 4. The Pipeline: File-based ML, Chat, PDE, Theorem
|
| 123 |
+
########################################
|
| 124 |
+
|
| 125 |
+
class HybridAIPipeline:
|
| 126 |
+
"""
|
| 127 |
+
Comprehensive pipeline for:
|
| 128 |
+
- Domain assumptions
|
| 129 |
+
- Confidence index
|
| 130 |
+
- CSV-based text classification
|
| 131 |
+
- Chat
|
| 132 |
+
- HPC PDE concurrency
|
| 133 |
+
- Theorem checking
|
| 134 |
+
"""
|
| 135 |
+
|
| 136 |
+
def __init__(self):
|
| 137 |
+
self.domains = DomainAssumptionMatrix()
|
| 138 |
+
self.conf = ConfidenceIndex()
|
| 139 |
+
self.vectorizer = None
|
| 140 |
+
self.model = None
|
| 141 |
+
self.trained = False
|
| 142 |
+
self.hpcsolver = HPCSolver()
|
| 143 |
+
self.theorem_prover = ExternalTheoremProver()
|
| 144 |
+
|
| 145 |
+
# Store conjecture text, domains, etc.
|
| 146 |
+
self.conjectures = {}
|
| 147 |
+
|
| 148 |
+
# Domain
|
| 149 |
+
def add_domain_assumption(self, domain_name: str, key: str, val: str):
|
| 150 |
+
self.domains.add_domain(domain_name, {key: val})
|
| 151 |
+
return f"Domain '{domain_name}' updated: {key}={val}"
|
| 152 |
+
|
| 153 |
+
def view_domains(self):
|
| 154 |
+
dm = self.domains.list_domains()
|
| 155 |
+
return dm
|
| 156 |
+
|
| 157 |
+
# Conjectures
|
| 158 |
+
def add_conjecture(self, conj_id: str, init_score: int, text: str = ""):
|
| 159 |
+
self.conf.add_conjecture(conj_id, init_score)
|
| 160 |
+
if text:
|
| 161 |
+
self.conjectures[conj_id] = text
|
| 162 |
+
return f"Conjecture '{conj_id}' added with score {init_score}."
|
| 163 |
+
|
| 164 |
+
def view_conjectures(self):
|
| 165 |
+
listing = self.conf.list_all()
|
| 166 |
+
return listing
|
| 167 |
+
|
| 168 |
+
# CSV training
|
| 169 |
+
def train_from_csv(self, file_obj) -> str:
|
| 170 |
+
if file_obj is None:
|
| 171 |
+
return "No file uploaded."
|
| 172 |
+
try:
|
| 173 |
+
df = pd.read_csv(file_obj)
|
| 174 |
+
if "text" not in df.columns or "label" not in df.columns:
|
| 175 |
+
return "CSV must contain 'text' and 'label' columns."
|
| 176 |
+
|
| 177 |
+
texts = df["text"].astype(str).tolist()
|
| 178 |
+
labels = df["label"].astype(str).tolist()
|
| 179 |
+
|
| 180 |
+
self.vectorizer = CountVectorizer()
|
| 181 |
+
X = self.vectorizer.fit_transform(texts)
|
| 182 |
+
y = np.array(labels)
|
| 183 |
+
|
| 184 |
+
self.model = RandomForestClassifier()
|
| 185 |
+
self.model.fit(X, y)
|
| 186 |
+
self.trained = True
|
| 187 |
+
|
| 188 |
+
return f"Trained on {len(texts)} samples. Classes = {set(labels)}"
|
| 189 |
+
except Exception as e:
|
| 190 |
+
return f"Error: {e}"
|
| 191 |
+
|
| 192 |
+
# Chat
|
| 193 |
+
def chat(self, user_input: str) -> str:
|
| 194 |
+
"""
|
| 195 |
+
If model is trained, do classification. Otherwise, a fallback.
|
| 196 |
+
Possibly incorporate domain assumptions or confidence logic.
|
| 197 |
+
"""
|
| 198 |
+
if not self.trained or self.model is None or self.vectorizer is None:
|
| 199 |
+
return "Model not trained. Please upload a CSV in 'Train Model' tab."
|
| 200 |
+
|
| 201 |
+
# Classify user_input
|
| 202 |
+
Xq = self.vectorizer.transform([user_input])
|
| 203 |
+
pred = self.model.predict(Xq)[0]
|
| 204 |
+
# For demonstration, respond with predicted label
|
| 205 |
+
return f"[ChatBot] Based on your text, I'm predicting label: {pred}"
|
| 206 |
+
|
| 207 |
+
# HPC PDE
|
| 208 |
+
def run_pde_solve(self, problem_type: str, mesh_size: int):
|
| 209 |
+
return self.hpcsolver.solve_pde_stub(problem_type, mesh_size)
|
| 210 |
+
|
| 211 |
+
def run_pde_concurrent(self, tasks: List[str], sizes: List[int]) -> List[str]:
|
| 212 |
+
return self.hpcsolver.solve_in_parallel(tasks, sizes)
|
| 213 |
+
|
| 214 |
+
# Theorem Prover
|
| 215 |
+
def check_theorem(self, conj_id: str):
|
| 216 |
+
"""
|
| 217 |
+
Stub: If conj_id was stored with a text, we attempt partial proof.
|
| 218 |
+
"""
|
| 219 |
+
statement = self.conjectures.get(conj_id, None)
|
| 220 |
+
if not statement:
|
| 221 |
+
return f"No statement stored for {conj_id}."
|
| 222 |
+
|
| 223 |
+
success = self.theorem_prover.check_proof(statement, "Sketch of proof.")
|
| 224 |
+
if success:
|
| 225 |
+
self.conf.update_score(conj_id, +1)
|
| 226 |
+
return f"Theorem check passed! Score for '{conj_id}' raised."
|
| 227 |
+
else:
|
| 228 |
+
self.conf.update_score(conj_id, -1)
|
| 229 |
+
return f"Theorem check failed for '{conj_id}'. Score lowered."
|
| 230 |
+
|
| 231 |
+
# Symbolic Solve
|
| 232 |
+
def symbolic_solve_equation(self, equation: str, variables: str):
|
| 233 |
+
var_list = [v.strip() for v in variables.split(",") if v.strip()]
|
| 234 |
+
try:
|
| 235 |
+
syms = [parse_expr(v) for v in var_list]
|
| 236 |
+
expr = parse_expr(equation)
|
| 237 |
+
eq = Eq(expr, 0)
|
| 238 |
+
sol = solve(eq, syms, dict=True)
|
| 239 |
+
return f"Symbolic solution: {sol}"
|
| 240 |
+
except Exception as e:
|
| 241 |
+
return f"Error solving symbolically: {e}"
|
| 242 |
+
|
| 243 |
+
########################################
|
| 244 |
+
# GRADIO
|
| 245 |
+
########################################
|
| 246 |
+
|
| 247 |
+
pipeline = HybridAIPipeline()
|
| 248 |
+
|
| 249 |
+
def add_domain_fn(domain_name, assumption_key, assumption_value):
|
| 250 |
+
return pipeline.add_domain_assumption(domain_name, assumption_key, assumption_value)
|
| 251 |
+
|
| 252 |
+
def list_domains_fn():
|
| 253 |
+
dm = pipeline.view_domains()
|
| 254 |
+
return str(dm)
|
| 255 |
+
|
| 256 |
+
def add_conjecture_fn(conj_id, init_score, text):
|
| 257 |
+
return pipeline.add_conjecture(conj_id, int(init_score), text)
|
| 258 |
+
|
| 259 |
+
def list_conjectures_fn():
|
| 260 |
+
c = pipeline.view_conjectures()
|
| 261 |
+
return str(c)
|
| 262 |
+
|
| 263 |
+
def train_csv_fn(file):
|
| 264 |
+
if file is None:
|
| 265 |
+
return "Please upload a CSV."
|
| 266 |
+
return pipeline.train_from_csv(file)
|
| 267 |
+
|
| 268 |
+
def chat_fn(message):
|
| 269 |
+
return pipeline.chat(message)
|
| 270 |
+
|
| 271 |
+
def hpc_solve_fn(problem_type, mesh_size):
|
| 272 |
+
return pipeline.run_pde_solve(problem_type, int(mesh_size))
|
| 273 |
+
|
| 274 |
+
def theorem_check_fn(conj_id):
|
| 275 |
+
return pipeline.check_theorem(conj_id)
|
| 276 |
+
|
| 277 |
+
def symbolic_solve_fn(equation, variables):
|
| 278 |
+
return pipeline.symbolic_solve_equation(equation, variables)
|
| 279 |
+
|
| 280 |
+
def concurrency_demo_fn(tasks_str, sizes_str):
|
| 281 |
+
"""
|
| 282 |
+
tasks_str: comma-separated PDE tasks
|
| 283 |
+
sizes_str: comma-separated mesh sizes
|
| 284 |
+
"""
|
| 285 |
+
tasks = [t.strip() for t in tasks_str.split(",") if t.strip()]
|
| 286 |
+
sizes_raw = [s.strip() for s in sizes_str.split(",") if s.strip()]
|
| 287 |
+
if len(tasks) != len(sizes_raw):
|
| 288 |
+
return "Error: tasks and sizes mismatch."
|
| 289 |
+
|
| 290 |
+
sizes = [int(x) for x in sizes_raw]
|
| 291 |
+
results = pipeline.run_pde_concurrent(tasks, sizes)
|
| 292 |
+
return "\n".join(results)
|
| 293 |
+
|
| 294 |
+
# Build the Gradio UI
|
| 295 |
+
|
| 296 |
+
import gradio as gr
|
| 297 |
+
|
| 298 |
+
def build_app():
|
| 299 |
+
with gr.Blocks() as demo:
|
| 300 |
+
gr.Markdown("# Enterprise-grade Hybrid AI App")
|
| 301 |
+
|
| 302 |
+
with gr.Tab("Domain Assumptions"):
|
| 303 |
+
gr.Markdown("Store domain constraints (e.g., PDE dimension).")
|
| 304 |
+
domain_in = gr.Textbox(label="Domain Name", value="FluidPDE")
|
| 305 |
+
key_in = gr.Textbox(label="Key", value="dimension")
|
| 306 |
+
val_in = gr.Textbox(label="Value", value="3D")
|
| 307 |
+
domain_btn = gr.Button("Add Domain")
|
| 308 |
+
domain_out = gr.Textbox(label="Output")
|
| 309 |
+
domain_btn.click(fn=add_domain_fn, inputs=[domain_in, key_in, val_in], outputs=[domain_out])
|
| 310 |
+
|
| 311 |
+
list_dom_btn = gr.Button("List Domains")
|
| 312 |
+
list_dom_out = gr.Textbox(label="All Domains")
|
| 313 |
+
|
| 314 |
+
list_dom_btn.click(fn=list_domains_fn, outputs=list_dom_out)
|
| 315 |
+
|
| 316 |
+
with gr.Tab("Conjectures"):
|
| 317 |
+
gr.Markdown("Track conjectures with confidence scores (0-5). Optionally store text for theorem checks.")
|
| 318 |
+
conj_id_in = gr.Textbox(label="Conjecture ID", value="C1")
|
| 319 |
+
conj_score_in = gr.Slider(label="Init Score", minimum=0, maximum=5, step=1, value=3)
|
| 320 |
+
conj_text_in = gr.Textbox(label="Conjecture Text", value="Navier-Stokes globally well-posed.")
|
| 321 |
+
conj_btn = gr.Button("Add Conjecture")
|
| 322 |
+
conj_out = gr.Textbox(label="Conjecture Output")
|
| 323 |
+
|
| 324 |
+
conj_btn.click(fn=add_conjecture_fn, inputs=[conj_id_in, conj_score_in, conj_text_in], outputs=[conj_out])
|
| 325 |
+
|
| 326 |
+
conj_list_btn = gr.Button("List Conjectures")
|
| 327 |
+
conj_list_out = gr.Textbox(label="Conjecture Listing")
|
| 328 |
+
|
| 329 |
+
conj_list_btn.click(fn=list_conjectures_fn, outputs=[conj_list_out])
|
| 330 |
+
|
| 331 |
+
with gr.Tab("Train & Chat"):
|
| 332 |
+
gr.Markdown("**Upload CSV** with 'text' and 'label' columns to train an ML model, then chat.")
|
| 333 |
+
file_in = gr.File(label="CSV File")
|
| 334 |
+
train_btn = gr.Button("Train Model")
|
| 335 |
+
train_out = gr.Textbox(label="Training Log")
|
| 336 |
+
|
| 337 |
+
train_btn.click(fn=train_csv_fn, inputs=[file_in], outputs=[train_out])
|
| 338 |
+
|
| 339 |
+
chat_in = gr.Textbox(label="Chat Input", value="Hello, model!")
|
| 340 |
+
chat_btn = gr.Button("Chat")
|
| 341 |
+
chat_out = gr.Textbox(label="Chat Response")
|
| 342 |
+
|
| 343 |
+
chat_btn.click(fn=chat_fn, inputs=[chat_in], outputs=[chat_out])
|
| 344 |
+
|
| 345 |
+
with gr.Tab("HPC PDE"):
|
| 346 |
+
gr.Markdown("Simulate HPC PDE solves.")
|
| 347 |
+
prob_in = gr.Dropdown(label="Problem Type", choices=["Poisson", "NavierStokes"], value="Poisson")
|
| 348 |
+
size_in = gr.Slider(label="Mesh Size / Complexity", minimum=10, maximum=100, step=5, value=30)
|
| 349 |
+
hpc_btn = gr.Button("Run HPC Solve")
|
| 350 |
+
hpc_out = gr.Textbox(label="HPC Output")
|
| 351 |
+
|
| 352 |
+
hpc_btn.click(fn=hpc_solve_fn, inputs=[prob_in, size_in], outputs=[hpc_out])
|
| 353 |
+
|
| 354 |
+
# concurrency
|
| 355 |
+
tasks_str = gr.Textbox(label="Tasks Comma-Separated (Poisson, NavierStokes, ...)", value="Poisson, NavierStokes")
|
| 356 |
+
sizes_str = gr.Textbox(label="Sizes Comma-Separated (30,40,...)", value="30,40")
|
| 357 |
+
conc_btn = gr.Button("Concurrency Demo")
|
| 358 |
+
conc_out = gr.Textbox(label="Concurrent PDE Results")
|
| 359 |
+
|
| 360 |
+
conc_btn.click(fn=concurrency_demo_fn, inputs=[tasks_str, sizes_str], outputs=[conc_out])
|
| 361 |
+
|
| 362 |
+
with gr.Tab("Theorem Check & Symbolic Solve"):
|
| 363 |
+
gr.Markdown("Stub for theorem checks & symbolic solving.")
|
| 364 |
+
th_in = gr.Textbox(label="Conjecture ID for Theorem Check", value="C1")
|
| 365 |
+
th_btn = gr.Button("Check Theorem")
|
| 366 |
+
th_out = gr.Textbox(label="Theorem Output")
|
| 367 |
+
th_btn.click(fn=theorem_check_fn, inputs=[th_in], outputs=[th_out])
|
| 368 |
+
|
| 369 |
+
eq_in = gr.Textbox(label="Equation (e.g. 'x**2 - 4')", value="x**2 - 4")
|
| 370 |
+
vars_in = gr.Textbox(label="Variables (comma) e.g. 'x'", value="x")
|
| 371 |
+
eq_btn = gr.Button("Symbolic Solve")
|
| 372 |
+
eq_out = gr.Textbox(label="Symbolic Output")
|
| 373 |
+
|
| 374 |
+
eq_btn.click(fn=symbolic_solve_fn, inputs=[eq_in, vars_in], outputs=[eq_out])
|
| 375 |
+
|
| 376 |
+
gr.Markdown("## Done: This is our 'enterprise-grade' hybrid AI app. Enjoy!")
|
| 377 |
+
return demo
|
| 378 |
+
|
| 379 |
+
|
| 380 |
+
def main():
|
| 381 |
+
demo = build_app()
|
| 382 |
+
demo.launch()
|
| 383 |
+
|
| 384 |
+
if __name__ == "__main__":
|
| 385 |
+
main()
|