Instructions to use Clementio/PLRS with libraries, inference providers, notebooks, and local apps. Follow these links to get started.
- Libraries
- Transformers
How to use Clementio/PLRS with Transformers:
# Load model directly from transformers import AutoModel model = AutoModel.from_pretrained("Clementio/PLRS", dtype="auto") - Notebooks
- Google Colab
- Kaggle
File size: 23,501 Bytes
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import torch
import torch.nn as nn
import json
import pandas as pd
import networkx as nx
import numpy as np
from huggingface_hub import hf_hub_download
from typing import Dict, List, Optional, Tuple
st.set_page_config(page_title='Logic Engine', page_icon='π§ ', layout='wide')
HF_REPO = 'Clementio/PLRS'
@st.cache_resource
def load_model():
config_path = hf_hub_download(repo_id=HF_REPO, filename='config.json')
with open(config_path) as f:
config = json.load(f)
model_path = hf_hub_download(repo_id=HF_REPO, filename='sakt_model.pt')
class SAKT(nn.Module):
def __init__(self, num_skills, embed_dim, num_heads, num_layers, max_seq_len, dropout):
super(SAKT, self).__init__()
self.num_skills = num_skills
self.interaction_embed = nn.Embedding(num_skills * 2 + 1, embed_dim, padding_idx=0)
self.skill_embed = nn.Embedding(num_skills + 1, embed_dim, padding_idx=0)
self.pos_embed = nn.Embedding(max_seq_len + 1, embed_dim)
encoder_layer = nn.TransformerEncoderLayer(d_model=embed_dim, nhead=num_heads, dropout=dropout, batch_first=True, dim_feedforward=embed_dim * 4, norm_first=True)
self.transformer = nn.TransformerEncoder(encoder_layer, num_layers=num_layers, enable_nested_tensor=False)
self.dropout = nn.Dropout(dropout)
self.output = nn.Linear(embed_dim, 1)
def forward(self, interactions, target_skills, mask, return_attention=False):
batch_size, seq_len = interactions.shape
positions = torch.arange(seq_len, device=interactions.device).unsqueeze(0).expand(batch_size, -1)
x = self.interaction_embed(interactions)
x = x + self.pos_embed(positions)
x = x * mask.unsqueeze(-1).float()
x = self.dropout(x)
causal_mask = torch.triu(torch.full((seq_len, seq_len), float('-inf')), diagonal=1)
x = self.transformer(x, mask=causal_mask, is_causal=False)
x = x * mask.unsqueeze(-1).float()
x = x + self.skill_embed(target_skills)
return self.output(x).squeeze(-1)
device = torch.device('cpu')
model = SAKT(num_skills=config['num_skills'], embed_dim=config['embed_dim'], num_heads=config['num_heads'], num_layers=config['num_layers'], max_seq_len=config['max_seq_len'], dropout=config['dropout'])
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
return model, config, device
@st.cache_resource
def load_knowledge_maps():
def load_dag(path):
with open(path) as f:
data = json.load(f)
G = nx.DiGraph()
for node in data['nodes']:
G.add_node(node['id'], label=node['label'], level=node['level'], term=node['term'])
for edge in data['edges']:
G.add_edge(edge['from'], edge['to'])
return G
return load_dag('knowledge_maps/math_dag.json'), load_dag('knowledge_maps/cs_dag.json')
@st.cache_data
def load_skill_encoder():
return pd.read_csv('data/skill_encoder.csv')
class MasteryVector:
def __init__(self, graph, threshold=0.70):
self.graph = graph
self.threshold = threshold
self.mastery = {node: 0.0 for node in graph.nodes}
def update(self, topic_id, probability):
if topic_id in self.mastery: self.mastery[topic_id] = probability
def is_mastered(self, topic_id):
return self.mastery.get(topic_id, 0.0) >= self.threshold
def get_mastery(self, topic_id):
return self.mastery.get(topic_id, 0.0)
def get_mastery_summary(self):
mastered = [t for t in self.mastery if self.is_mastered(t)]
return {'total_topics': len(self.mastery), 'mastered': len(mastered), 'mastery_rate': round(len(mastered)/len(self.mastery), 3), 'mastered_topics': mastered}
class DAGConstraintLayer:
def __init__(self, graph, threshold=0.70, soft_threshold=0.50):
self.graph = graph
self.threshold = threshold
self.soft_threshold = soft_threshold # below full threshold but above this = challenging
def validate(self, topic_id, mastery_vector):
if topic_id not in self.graph.nodes: return 'vetoed', 'Topic not found.'
prerequisites = list(self.graph.predecessors(topic_id))
label = self.graph.nodes[topic_id].get('label', topic_id)
if not prerequisites: return 'approved', f'β
Foundational topic β no prerequisites.'
hard_fails = []
soft_fails = []
for p in prerequisites:
m = mastery_vector.get_mastery(p)
plabel = self.graph.nodes[p].get('label', p)
if m < self.soft_threshold:
hard_fails.append((plabel, m))
elif m < self.threshold:
soft_fails.append((plabel, m))
if hard_fails:
gaps = ', '.join([f"{l} ({m:.0%} mastered, need {self.threshold:.0%})" for l,m in hard_fails])
return 'vetoed', f'β Prerequisites not met: {gaps}'
elif soft_fails:
gaps = ', '.join([f"{l} ({m:.0%} mastered, need {self.threshold:.0%})" for l,m in soft_fails])
return 'challenging', f'β οΈ Challenging β prerequisites nearly met: {gaps}. Proceed with caution.'
else:
prereq_labels = [self.graph.nodes[p].get('label',p) for p in prerequisites]
return 'approved', f'β
Prerequisites mastered: {", ".join(prereq_labels)}'
class RankingFunction:
def __init__(self, graph, threshold=0.70, w_gap=0.40, w_ready=0.35, w_downstream=0.25):
self.graph=graph; self.threshold=threshold; self.w_gap=w_gap; self.w_ready=w_ready; self.w_downstream=w_downstream
scores = {n: len(nx.descendants(graph, n)) for n in graph.nodes}
mx = max(scores.values()) if scores else 1
self._downstream = {n: s/mx for n,s in scores.items()}
def score(self, topic_id, mastery_vector):
current = mastery_vector.get_mastery(topic_id)
gap = min(max(0.0, self.threshold-current)/self.threshold, 1.0)
prereqs = list(self.graph.predecessors(topic_id))
readiness = 1.0 if not prereqs else sum(1 for p in prereqs if mastery_vector.is_mastered(p))/len(prereqs)
downstream = self._downstream.get(topic_id, 0.0)
# Near-mastery boost: topics the student has already started
# rank higher than untouched topics with the same gap score
near_mastery_boost = 0.0
if 0.10 <= current < self.threshold:
near_mastery_boost = 0.15 * (current / self.threshold)
return round(self.w_gap*gap + self.w_ready*readiness + self.w_downstream*downstream + near_mastery_boost, 3)
class LearningRecommendationPipeline:
def __init__(self, graph, threshold=0.70, soft_threshold=0.50, top_n=5):
self.graph=graph
self.constraint=DAGConstraintLayer(graph, threshold, soft_threshold)
self.ranker=RankingFunction(graph, threshold)
self.top_n=top_n
def run(self, mastery_vector):
approved, challenging, vetoed = [], [], []
for topic_id in self.graph.nodes:
status, reasoning = self.constraint.validate(topic_id, mastery_vector)
entry = {'topic_id': topic_id, 'topic_label': self.graph.nodes[topic_id].get('label', topic_id), 'mastery': round(mastery_vector.get_mastery(topic_id),3), 'reasoning': reasoning, 'status': status}
if status == 'approved' and not mastery_vector.is_mastered(topic_id):
entry['score'] = self.ranker.score(topic_id, mastery_vector)
approved.append(entry)
elif status == 'challenging' and not mastery_vector.is_mastered(topic_id):
entry['score'] = self.ranker.score(topic_id, mastery_vector) * 0.8 # slight penalty
challenging.append(entry)
elif status == 'vetoed':
vetoed.append(entry)
approved.sort(key=lambda x: x['score'], reverse=True)
challenging.sort(key=lambda x: x['score'], reverse=True)
return {'top_recommendations': approved[:self.top_n], 'challenging': challenging[:3], 'total_approved': len(approved), 'total_challenging': len(challenging), 'total_vetoed': len(vetoed), 'vetoed_sample': vetoed[:5], 'prerequisite_violation_rate': round(len(vetoed)/max(len(list(self.graph.nodes)),1),3)}
ACTIVITY_TO_MATH = {'oucontent':'algebraic_expressions','forumng':'statistics_basic','homepage':'whole_numbers','subpage':'plane_shapes','resource':'indices','url':'number_bases','ouwiki':'proportion_variation','glossary':'algebraic_factorization','quiz':'quadratic_equations'}
ACTIVITY_TO_CS = {'oucontent':'programming_concepts','forumng':'ethics_technology','homepage':'computer_basics','subpage':'html_basics','resource':'networking_fundamentals','url':'internet_basics','ouwiki':'cloud_basics','glossary':'intro_databases','quiz':'python_basics'}
def run_sakt_inference(model, config, skill_seq, correct_seq, device):
max_len=config['max_seq_len']; n_skills=config['num_skills']
if len(skill_seq)>max_len: skill_seq=skill_seq[-max_len:]; correct_seq=correct_seq[-max_len:]
interactions=[s+c*n_skills for s,c in zip(skill_seq[:-1],correct_seq[:-1])]
target_skills=skill_seq[1:]
seq_len=len(interactions); pad_len=max_len-seq_len
interactions=[0]*pad_len+interactions; target_skills=[0]*pad_len+target_skills; mask=[False]*pad_len+[True]*seq_len
with torch.no_grad():
logits=model(torch.LongTensor([interactions]).to(device),torch.LongTensor([target_skills]).to(device),torch.BoolTensor([mask]).to(device))
probs=torch.sigmoid(logits).squeeze(0)
mastery={}; real_probs=probs[torch.BoolTensor(mask)].cpu().numpy(); real_skills=target_skills[pad_len:]
for skill_id,prob in zip(real_skills,real_probs): mastery[int(skill_id)]=float(prob)
return mastery
def build_mastery_vector(skill_probs, graph, skill_encoder_df, domain, threshold, soft_threshold):
mv=MasteryVector(graph, threshold); mapping=ACTIVITY_TO_MATH if domain=='math' else ACTIVITY_TO_CS
topic_scores={}
for skill_id,prob in skill_probs.items():
row=skill_encoder_df[skill_encoder_df['skill_id']==skill_id]
if row.empty: continue
act=row['activity_type'].values[0] if 'activity_type' in row.columns else None
topic_id=mapping.get(act) if act else None
if topic_id: topic_scores[topic_id]=max(topic_scores.get(topic_id,0.0),prob)
for topic_id,score in topic_scores.items(): mv.update(topic_id,score)
return mv
def what_if_analysis(topic_id, graph):
unlocks = list(nx.descendants(graph, topic_id))
direct_unlocks = list(graph.successors(topic_id))
blocked_by = list(graph.predecessors(topic_id))
unlock_labels = [graph.nodes[n].get('label',n) for n in direct_unlocks]
all_unlock_labels = [graph.nodes[n].get('label',n) for n in unlocks]
blocked_labels = [graph.nodes[n].get('label',n) for n in blocked_by]
return {'direct_unlocks': unlock_labels, 'all_unlocks': all_unlock_labels, 'blocked_by': blocked_labels, 'total_unlocked': len(unlocks)}
def cascade_mastery(mastery_vector, graph):
"""
If a student has high mastery on a topic, infer that their
prerequisites are also likely mastered (propagate upward).
A student who scores 80% on Modular Arithmetic almost certainly
knows Whole Numbers β cascade fills these realistic gaps.
"""
changed = True
while changed:
changed = False
for node in graph.nodes:
node_mastery = mastery_vector.get_mastery(node)
if node_mastery < 0.40:
continue
# For each prerequisite of this node
for prereq in graph.predecessors(node):
prereq_mastery = mastery_vector.get_mastery(prereq)
# Infer prerequisite mastery as at least 85% of descendant mastery
inferred = min(node_mastery * 0.85, 0.95)
if inferred > prereq_mastery:
mastery_vector.update(prereq, inferred)
changed = True
return mastery_vector
def cascade_mastery(mastery_vector, graph):
"""
If a student has high mastery on a topic, infer that their
prerequisites are also likely mastered (propagate upward).
A student who scores 80% on Modular Arithmetic almost certainly
knows Whole Numbers β cascade fills these realistic gaps.
"""
changed = True
while changed:
changed = False
for node in graph.nodes:
node_mastery = mastery_vector.get_mastery(node)
if node_mastery < 0.40:
continue
# For each prerequisite of this node
for prereq in graph.predecessors(node):
prereq_mastery = mastery_vector.get_mastery(prereq)
# Infer prerequisite mastery as at least 85% of descendant mastery
inferred = min(node_mastery * 0.85, 0.95)
if inferred > prereq_mastery:
mastery_vector.update(prereq, inferred)
changed = True
return mastery_vector
def get_attention_weights(model, config, skill_seq, correct_seq, device):
max_len=config['max_seq_len']; n_skills=config['num_skills']
if len(skill_seq)>max_len: skill_seq=skill_seq[-max_len:]; correct_seq=correct_seq[-max_len:]
interactions=[s+c*n_skills for s,c in zip(skill_seq[:-1],correct_seq[:-1])]
target_skills=skill_seq[1:]
seq_len=len(interactions); pad_len=max_len-seq_len
interactions=[0]*pad_len+interactions; target_skills=[0]*pad_len+target_skills; mask_list=[False]*pad_len+[True]*seq_len
interactions_t=torch.LongTensor([interactions]); target_t=torch.LongTensor([target_skills]); mask_t=torch.BoolTensor([mask_list])
attention_weights = []
def hook_fn(module, input, output):
if hasattr(module, 'self_attn'):
pass
with torch.no_grad():
positions=torch.arange(max_len).unsqueeze(0)
x=model.interaction_embed(interactions_t)+model.pos_embed(positions)
x=x*mask_t.unsqueeze(-1).float()
real_mask=mask_t.squeeze(0)
real_skills=target_skills[pad_len:]
real_probs=torch.sigmoid(model(interactions_t,target_t,mask_t)).squeeze(0)[real_mask].numpy()
return real_skills[-10:], real_probs[-10:], seq_len
def main():
model, config, device = load_model()
math_graph, cs_graph = load_knowledge_maps()
skill_encoder = load_skill_encoder()
st.title('π§ Logic Engine')
st.subheader('Domain-Agnostic Constraint-Aware Learning Recommender')
st.markdown('---')
st.sidebar.title('βοΈ Configuration')
domain = st.sidebar.selectbox('Select Domain', ['Mathematics', 'CS Fundamentals'])
threshold = st.sidebar.slider('Mastery Threshold', 0.50, 0.90, 0.70, 0.05, help='Minimum mastery to consider a topic fully mastered')
soft_threshold = st.sidebar.slider('Challenging Threshold', 0.30, 0.70, 0.50, 0.05, help='Topics above this but below mastery threshold are marked Challenging')
top_n = st.sidebar.slider('Top N Recommendations', 3, 10, 5)
graph = math_graph if domain=='Mathematics' else cs_graph
domain_key = 'math' if domain=='Mathematics' else 'cs'
pipeline = LearningRecommendationPipeline(graph, threshold, soft_threshold, top_n)
st.sidebar.markdown('---')
st.sidebar.markdown('**About**')
st.sidebar.markdown('SAKT-based knowledge tracing with DAG prerequisite constraints. Three-tier recommendations: β
Approved, β οΈ Challenging, β Vetoed.')
tab1, tab2, tab3, tab4 = st.tabs(['π― Recommendations','π What-If Simulator','πΊοΈ Knowledge Map','π Diagnostics'])
with tab1:
st.header('Learner Profile')
mode = st.radio('Input Mode', ['Manual Mastery Input','Simulate Student Sequence'], horizontal=True)
mastery_vector = MasteryVector(graph, threshold)
if mode=='Manual Mastery Input':
st.markdown('Set your current mastery level for each topic:')
cols=st.columns(2); nodes=list(graph.nodes)
for i,node in enumerate(nodes):
label=graph.nodes[node].get('label',node); level=graph.nodes[node].get('level','')
val=cols[i%2].slider(f'{label} ({level})',0.0,1.0,0.0,0.05,key=f'mastery_{node}')
mastery_vector.update(node,val)
else:
seq_length=st.slider('Sequence Length',10,200,50)
seed=st.number_input('Student Seed',1,1000,42,1)
np.random.seed(int(seed))
topic_nodes = list(graph.nodes)
n_topics = len(topic_nodes)
raw_scores = np.random.beta(1.5, 3.0, size=n_topics)
scale = min(seq_length / 200.0 * 1.4, 1.0)
scores = np.clip(raw_scores * scale, 0.0, 1.0)
for topic_id, score in zip(topic_nodes, scores):
mastery_vector.update(topic_id, float(score))
mastery_df = pd.DataFrame({
'Topic': [graph.nodes[t].get('label', t)[:25] for t in topic_nodes],
'Mastery': [round(float(s), 3) for s in scores]
}).sort_values('Mastery', ascending=False).head(10)
st.markdown('**π Simulated Learner Mastery Signal (top 10 topics):**')
st.bar_chart(mastery_df.set_index('Topic'))
# Cascade mastery upward through DAG
mastery_vector = cascade_mastery(mastery_vector, graph)
n_mastered = sum(1 for t in topic_nodes if mastery_vector.is_mastered(t))
st.success(f'Learner simulation complete β {n_mastered}/{n_topics} topics above mastery threshold')
if st.button('π Generate Recommendations', type='primary'):
output=pipeline.run(mastery_vector)
summary=mastery_vector.get_mastery_summary()
col1,col2,col3,col4,col5=st.columns(5)
col1.metric('Topics Mastered',f"{summary['mastered']} / {summary['total_topics']}")
col2.metric('Mastery Rate',f"{summary['mastery_rate']:.1%}")
col3.metric('β
Approved',output['total_approved'])
col4.metric('β οΈ Challenging',output['total_challenging'])
col5.metric('Violation Rate',f"{output['prerequisite_violation_rate']:.1%}")
st.markdown('---')
st.subheader(f'β
Top {top_n} Approved Recommendations')
if not output['top_recommendations']: st.warning('No approved recommendations β adjust mastery or lower threshold.')
else:
for i,rec in enumerate(output['top_recommendations'],1):
with st.expander(f"{i}. {rec['topic_label']} β Score: {rec['score']} | Mastery: {rec['mastery']:.1%}", expanded=(i<=3)):
st.markdown(f"**Reasoning:** {rec['reasoning']}")
st.progress(rec['mastery'])
if output['challenging']:
st.markdown('---')
st.subheader('β οΈ Challenging Topics (proceed with caution)')
for rec in output['challenging']:
with st.expander(f"{rec['topic_label']} | Mastery: {rec['mastery']:.1%}"):
st.markdown(f"**Reasoning:** {rec['reasoning']}")
st.progress(rec['mastery'])
if output['vetoed_sample']:
st.markdown('---'); st.subheader('β Sample Vetoed Topics')
for rec in output['vetoed_sample']:
with st.expander(f"β {rec['topic_label']}"):
st.markdown(f"**Reason:** {rec['reasoning']}")
with tab2:
st.header('π What-If Prerequisite Simulator')
st.markdown('Explore how mastering a topic unlocks future learning paths β or what is blocking you from starting it.')
nodes_list = list(graph.nodes)
labels_list = [graph.nodes[n].get('label',n) for n in nodes_list]
selected_label = st.selectbox('Select a topic to analyse:', labels_list)
selected_node = nodes_list[labels_list.index(selected_label)]
if st.button('π Analyse Topic', type='primary'):
result = what_if_analysis(selected_node, graph)
col1, col2 = st.columns(2)
with col1:
st.subheader('π If you master this topic...')
if result['direct_unlocks']:
st.markdown(f"**Directly unlocks {len(result['direct_unlocks'])} topic(s):**")
for t in result['direct_unlocks']: st.markdown(f' β {t}')
else:
st.info('This is a terminal topic β it does not unlock further topics in this map.')
if result['all_unlocks']:
st.markdown(f"**Total topics eventually unlocked: {result['total_unlocked']}**")
with col2:
st.subheader('π To start this topic you need...')
if result['blocked_by']:
st.markdown('**Prerequisites required:**')
for t in result['blocked_by']: st.markdown(f' β {t}')
else:
st.success('This is a foundational topic β no prerequisites needed. You can start it now!')
if result['all_unlocks']:
st.markdown('---')
st.markdown('**Full learning path unlocked:**')
st.markdown(' β '.join([selected_label] + result['all_unlocks'][:8]) + ('...' if len(result['all_unlocks'])>8 else ''))
with tab3:
st.header(f'{domain} Knowledge Map')
st.markdown(f"**{graph.number_of_nodes()} topics** | **{graph.number_of_edges()} prerequisite relationships**")
rows=[]
for node in graph.nodes:
label=graph.nodes[node].get('label',node); level=graph.nodes[node].get('level',''); term=graph.nodes[node].get('term','')
prereqs=[graph.nodes[p].get('label',p) for p in graph.predecessors(node)]
rows.append({'Topic':label,'Level':level,'Term':term,'Prerequisites':', '.join(prereqs) if prereqs else 'None (Foundational)'})
st.dataframe(pd.DataFrame(rows), use_container_width=True, hide_index=True)
longest=nx.dag_longest_path(graph)
st.markdown('**Longest prerequisite chain:**')
st.markdown(' β '.join([graph.nodes[n].get('label',n) for n in longest]))
with tab4:
st.header('System Diagnostics')
col1,col2=st.columns(2)
with col1: st.subheader('Model Configuration'); st.json(config)
with col2:
st.subheader('DAG Statistics')
st.json({'domain':domain,'nodes':graph.number_of_nodes(),'edges':graph.number_of_edges(),'is_valid_dag':nx.is_directed_acyclic_graph(graph),'longest_path':len(nx.dag_longest_path(graph))})
st.subheader('Constraint Layer')
st.markdown(f'**Mastery threshold:** {threshold:.0%} β topics above this are considered mastered')
st.markdown(f'**Challenging threshold:** {soft_threshold:.0%} β topics between this and mastery threshold are marked β οΈ Challenging')
st.markdown('**Hard veto:** topics with prerequisites below challenging threshold are fully blocked')
st.subheader('Domain Switching')
dcol1,dcol2=st.columns(2)
with dcol1: st.metric('Math DAG',f'{math_graph.number_of_nodes()} topics')
with dcol2: st.metric('CS DAG',f'{cs_graph.number_of_nodes()} topics')
if __name__ == '__main__':
main() |